Cyclotron Info

Design Guide › Beam measurement

Beam measurement design rules

182 of the guide’s 1374 rules carry the beam-measurement tag. Rules for measuring what the machine produces: Faraday cups, probes, current readout and background, energy determination by range or magnetic analysis, and the checks that separate beam from noise. Each rule keeps its formula where the source gives one, a verbatim quote, a page-level citation, and a stable identifier (dg-NNNN) that resolves here and on the all-in-one guide.

To combine this tag with another (rules carrying both), use the filterable view: /design-guide/?domain=beam-measurement and add a second chip. Related domains, by how often they share a rule with this one: Magnet (38), Detectors (26), RF (24), Targets (22), Beam dynamics (21).

Verify before use. Every rule here is a source extract in the vocabulary of the editorial methodology — faithful to its cited page, not an independently validated engineering requirement. Re-read any rule that drives a real design decision at the cited page before committing metal, money, or high voltage to it.

Faraday cup cross-section with secondary-electron suppression Cutaway schematic: the beam enters from the left through a grounded aperture plate, passes a ring-shaped suppressor electrode held at negative bias, and stops in a deep collector cup mounted on insulators inside a grounded shield. Dashed trajectories show secondary electrons turned back into the cup by the suppressor field. The collector lead exits through the shield to the electrometer. Callouts list the three suppression options. beam grounded shield grounded aperture suppressor ring, negative bias collector cup insulators secondaries turned back to electrometer −V bias Suppression options, any one of: • negative grid or ring ahead of the cup • positive bias (+9 V battery) on the cup itself • a magnetic field across the cup mouth — inside the chamber, the cyclotron field is free
Faraday cup in section, schematic and not to scale. The deep cup (depth much greater than opening), the negatively biased suppressor at the entrance, and the magnetic alternative are the three standard suppression methods (Forck, JUAS lecture notes, §2.4); the +9 V cup bias is the one-battery version used at Houghton College (Fuller thesis, 2013). Regions of the drawing are links: each opens the Design Guide filtered to the rules on that part.
  1. Momentum-analyze the beam to separate H+ from H2+ using a bending field and defining slit: 10 cm bend radius, 4 cm wide poles with 1 cm gap at up to 18 kG, and a 0.5 x 1 cm slit selects one species with a small energy spread.

    r = 10 cm, gap 1 cm, B up to 18 kG; slit 0.5 cm x 1 cm

    beam-measurementmagnet dg-001

    Source, quote & tabletop applicability
    A slit Y, 0.5 cm by 1 cm, serves to define the deflected beam and sort out a given kind of ion with a small range of energies.

    Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 262

    Tabletop: In a cyclotron the machine itself is the analyzer, but any external beamline species check on the next machine can copy these modest slit and pole proportions.

  2. Regulate magnet current to better than 1 part in 1000 (sense a series standard resistor against a voltage reference and feed back); a drifting field detunes resonance before anything else does.

    dI/I < 1e-3

    magnetbeam-measurement dg-009

    Source, quote & tabletop applicability
    The magnet field must be accurately regulated to maintain a steady beam ... A constant-current regulator is needed, capable of reducing fluctuations to better than 1/1000.

    Livingston & Blewett, Particle Accelerators (1962) — p. 194

    Tabletop: A modern current-regulated supply meets this easily, but verify ripple and thermal drift: 0.1% of 5.9 kG is 6 G, comparable to the whole shim budget.

  3. Hold azimuthal field variation below 0.1 to 0.2 percent on every circle of constant radius, most critically near the exit radius; correct with sector- and wedge-shaped shims after mapping.

    max azimuthal variation < 0.1-0.2% of B; MIT reduced 2% as-built errors to <0.1%

    magnetbeam-measurement dg-012

    Source, quote & tabletop applicability
    Most operators agree that a variation of less than 0.1 to 0.2 per cent is desirable ... After careful correction by use of sector-shaped and wedge-shaped shims, the errors were reduced to less than 0.1 per cent.

    Livingston & Blewett, Particle Accelerators (1962) — p. 196-197

    Tabletop: At 5.9 kG this means holding azimuthal wobble to ~6-12 G; an azimuthal bump acts like a field error that pumps radial oscillation amplitude.

  4. Find the magnetic median plane (it can sit well off the geometric midplane - 1/2 in at MIT) with a pair of opposed identical search coils, and recenter it by trimming excitation of the upper coil relative to the lower.

    two identical coils in series opposition straddling midplane; balance point = magnetic median plane

    magnetbeam-measurement dg-013

    Source, quote & tabletop applicability
    the uncorrected field showed a median plane displaced 1/2 in. below the central plane ... adequately corrected by reducing excitation in the upper magnet windings relative to the lower ones.

    Livingston & Blewett, Particle Accelerators (1962) — p. 197

    Tabletop: The beam follows the magnetic plane, not the machined one; with separate top/bottom coil circuits (or a resistor across one layer) the builder can steer it back to mid-gap.

  5. When empirical shimming stalls, stop and run a full measurement campaign (radial plots, azimuthal circles at many radii, median-plane survey, spot checks for local flaws like blowholes); MIT's measured-then-corrected field beat years of cut-and-try on the first try.

    magnetbeam-measurement dg-014

    Source, quote & tabletop applicability
    When this program was completed, the cyclotron was reassembled and on the first operation gave the highest beam intensities ever obtained, with no further empirical shimming.

    Livingston & Blewett, Particle Accelerators (1962) — p. 197

    Tabletop: The single strongest process lesson for a next machine: map first, shim from data - a weekend of Hall-probe mapping replaces months of trial-and-error beam chasing.

  6. Map the field with a small search coil on a pivoted radial arm feeding an integrating fluxmeter; a full-circle sweep must return to zero deflection, which doubles as the amplifier drift check.

    typical exploring coil: ~1000 turns fine wire, ~1/2 in ID x 1 in OD; Q = (Na/R)*dB

    beam-measurementmagnet dg-018

    Source, quote & tabletop applicability
    A typical 'exploring' coil for a cyclotron magnet would have about 1000 turns of fine wire ... Total deflection should be zero after a full circle; this provides a check on the stability of the amplifier.

    Livingston & Blewett, Particle Accelerators (1962) — p. 283-285

    Tabletop: A pivoted-arm coil (or a modern Hall probe on the same fixture) sweeping circles at fixed radii is exactly the mapping jig an 8-in machine needs before shimming.

  7. Use the running cyclotron itself as a magnetometer: at resonance the RF frequency and e/m give the average field to high precision, but only the average - assigning it to a specific radius risks ~0.5 percent error.

    B_avg = 2*pi*f*m/e at observed resonance

    beam-measurementmagnet dg-019

    Source, quote & tabletop applicability
    the magnetic field can be determined with high precision ... this resonance frequency represents an average value of the magnetic field from the center out to the exit radius ... an error of the order of 0.5 per cent is possible.

    Livingston & Blewett, Particle Accelerators (1962) — p. 287-288

    Tabletop: The reference machine's observed resonance peak vs magnet current is a magnetization-curve measurement of their own magnet - log it at every retune.

  8. Regulate magnet current, not field, with a precision shunt feeding a difference amplifier against a reference: this held 17,000 gauss to +/-4 gauss (2.4e-4), which is the stability the cyclotron resonance condition demands.

    +/-4 G on 17,000 G = 2.4e-4 stability

    magnetbeam-measurement dg-027

    Source, quote & tabletop applicability
    This regulation system is capable of holding the 17,000 gauss field to within +/-4 gauss of its nominal value.

    McGuire, The Iowa State University 1.5 MeV Undergraduate Cyclotron (1961) — p. 9

    Tabletop: Sets a concrete stability target for a home magnet supply: a few parts in 10^4, achievable with a shunt, op-amp and pass bank.

  9. Use an NMR (proton/lithium) magnetometer for absolute field, readable to 1 gauss, and reserve the Hall probe for mapping - a Hall gaussmeter alone is not accurate enough to set the resonance condition.

    NMR field meter resolution ~1 gauss on 17 kG

    magnetbeam-measurement dg-028

    Source, quote & tabletop applicability
    an instrument operating on the principle of nuclear magnetic resonance is used ... The instrument may be read easily to one gauss accuracy.

    McGuire, The Iowa State University 1.5 MeV Undergraduate Cyclotron (1961) — p. 9-10

    Tabletop: A cheap DIY NMR gaussmeter (coil, oscillator, water sample) is a well-known amateur build and would let the builder set f = qB/2*pi*m exactly.

  10. Reach an isochronous field by iterating measurement with both pole cutting and shimming - five measure-and-machine steps were needed to converge on the design profile.

    5 measure/machine iterations from flat gap to isochronous <B>(r) over r = 0-36 cm

    magnetfabricationbeam-measurement dg-048

    Source, quote & tabletop applicability
    Both cutting pole and shimming was applied to reach isochronous field. The resulting magnetic field strength is close to designed value and its shape is nearly isochronous

    Antokhin et al., Magnet System for PET Cyclotron Based on Permanent Magnets (2006) — p. 2

    Tabletop: Budget several map-machine-remap cycles for a next machine's pole profile; it is normal, not a sign of a bad design.

  11. Judge dipole field quality with the plot (By(x)-By(0))/By(0); precision machines hold ~1e-4 over the good-field region, and a chart of the whole gap at +/-0.01% contours is the standard deliverable of a field computation.

    dB/B ~ +/-1e-4 (storage-ring grade); amateur target more like 1e-2-1e-3

    magnetbeam-measurement dg-054

    Source, quote & tabletop applicability
    typically +/- 1:104 within the 'good field region' of -12mm <= x <= +12 mm.

    Marks, Conventional Magnets for Accelerators — CAS lecture (2004) — p. 41, 43

    Tabletop: Sets the metric (not the number - a cyclotron needs far less) by which the builder should present their own field maps: normalized deviation over the beam region.

  12. Request a harmonic (Fourier) edit on a circle inside the good field region rather than eyeballing contours: e.g. ktype=121, nptc=31 points, rint=20 mm interpolation radius, rnorm=25 mm normalization, nterm=14 multipole terms.

    ktype=121, nptc=31, rint=20 mm, rnorm=25 mm, angle=90, nterm=14

    magnetbeam-measurement dg-062

    Source, quote & tabletop applicability
    nptc=31 means number of points on the circle, rint=20 means interpolation on 20 mm radius arc, rnorm=25 means multipole normalization at 25 mm ... nterm=14 means the maximum number of multipole terms.

    Tanabe, Iron Dominated Electromagnets, Lecture 4: POISSON — A Two-Dimensional Magnetostatic Solver (2005) — p. 7

    Tabletop: Turns a simulation into the same harmonic numbers you get from a measured field map, so simulation and Hall-probe map can be compared directly.

  13. Always cycle the magnet up to maximum current before settling at the operating field, whatever field you need, so hysteresis and remanence are reproducible; zero the field with demagnetization cycles rather than by trusting zero current.

    magnetbeam-measurement dg-090

    Source, quote & tabletop applicability
    In normal operation, the magnet is always cycled to its maximum value, irrespective of the required field, to ensure that hysteresis effects are reproducible.

    Zickler, Basic Design and Engineering of Normal-Conducting, Iron-Dominated Electromagnets — arXiv:1103.1119 (2010) — p. 26

    Tabletop: Free operational fix for run-to-run field shifts in a home cyclotron - important because resonance is set by B and the beam vanishes on a few-gauss error.

  14. Build the mapping stage for ~800 steps/inch (1.8 deg/step motor on a 0.25 in-pitch double-lead screw), run the steppers at 25% of rated current with ramped velocity, and take readings only while moving in the forward direction to kill backlash.

    800 steps/inch = 200 steps/rev / 0.25 in pitch; motor current = 25% rated

    magnetbeam-measurementfabrication dg-104

    Source, quote & tabletop applicability
    The aggregate of lead screw pitch and motor resolution correlates to 800 steps per inch. To further minimize the potential for backlash, field measurements are only made while stages are moving in the 'forward' direction.

    Koeth & Krutzler, Field Mapping in Cyclotron Magnets (2015) — p. 2

    Tabletop: A 1/800 inch (0.03 mm) grid is more than enough for an 8-12 inch pole and is buildable from surplus stepper/leadscrew parts.

  15. Set the Hall-probe dwell time after each stage move empirically: step through dwell times in 0.5 s increments along the steepest field gradient and use the first value where successive profiles differ by less than the stationary noise (Rutgers found no difference above 2.0-2.5 s and used 3 s).

    dwell = 3 s (0-0.5 s dwell gave >1% profile error; 2.0 s and 2.5 s indistinguishable)

    magnetbeam-measurement dg-105

    Source, quote & tabletop applicability
    There are field profile differences in excess of 1% between zero of half-second dwell times. However, there is no measureable difference between dwell times of 2.5 and 2.0 seconds.

    Koeth & Krutzler, Field Mapping in Cyclotron Magnets (2015) — p. 3

    Tabletop: Directly applicable: any DIY gaussmeter-plus-stepper mapper on an 8-inch magnet needs this calibration or the map carries 1% systematic error.

  16. Fiducialize the field map with five small excited iron needles placed on a known circle around the pole: four to calibrate x and y scale, and a fifth off-symmetry to resolve the axis-inversion ambiguity that plotting software introduces; locate each bump by fitting a 2-D Gaussian.

    5 needle bumps, <100 gauss each, measured with main magnet de-energized; bump-pair spacing recovered as 2.500 in vs 2.500 in mechanical

    magnetbeam-measurement dg-106

    Source, quote & tabletop applicability
    Four needles were used to scale both dimensions; the fifth needle was used to break the symmetry, removing orientation ambiguities.

    Koeth & Krutzler, Field Mapping in Cyclotron Magnets (2015) — p. 3-4

    Tabletop: Trivially cheap (iron nails plus a few turns of magnet wire) and it ties the field map to the mechanical chamber center, which is what you actually need for placing the ion source and target.

  17. Before trusting a two-scan (magnet-off then magnet-on) mapping procedure, prove stage repeatability: Rutgers ran 100 cycles of 15 one-inch forward increments plus a 15-inch return (1600 moves, 2.4 million steps) and the carriage returned within the 0.0000-inch resolution of a digital dial indicator.

    1600 travel manipulations / 2.4e6 motor steps -> return error < 0.0001 in

    magnetbeam-measurementfabrication dg-107

    Source, quote & tabletop applicability
    After 1600 travel manipulations were executed by 2.4 million motor steps, the probe carriage reproducibly returned back to the distal point within the digital dial indicator's resolution of 0.0000 inches

    Koeth & Krutzler, Field Mapping in Cyclotron Magnets (2015) — p. 4

    Tabletop: Cheap insurance: an afternoon of cycling the homemade stage validates every field map you take afterwards.

  18. Find the magnetic center of a weak-focusing (azimuthally symmetric) map by plotting Bz around trial reference circles, sweeping the circle center in x then y, and taking the minimum of a parabola fit to the standard deviation; iterate until the center shifts by less than the data noise.

    minimize sigma(Bz) around circle vs center position; Rutgers centers from different radii agreed to 1e-4

    magnetbeam-measurement dg-108

    Source, quote & tabletop applicability
    the sequence of standard deviations was fit to a parabola from which the minimum standard deviation, i.e. the center locations, could be inferred ... the centers of each measurement circle were found to be coincident to 10-4.

    Koeth & Krutzler, Field Mapping in Cyclotron Magnets (2015) — p. 5-6

    Tabletop: Exactly the analysis the builder needs for a symmetric-pole next machine: it also tells you how far the magnetic center sits from the mechanical center of the chamber.

  19. For an AVF (sectored) field, pick a reference circle of about half the maximum ion radius, FFT Bz around it, and move the circle center to maximize the Nth harmonic (N = number of hill/valley pairs) while minimizing harmonics 2, 3 and 5.

    reference circle radius = 0.5 x r_max (2.5 in for a 5 in max ion radius); maximize 4th harmonic for a 4-fold AVF

    magnetbeam-measurementbeam-dynamics dg-109

    Source, quote & tabletop applicability
    we choose a reference circle to have a radius half that of the maximum ion radius ... the reference circle is swept to maximize the 4th harmonic, while minimizing the second, third, and fifth.

    Koeth & Krutzler, Field Mapping in Cyclotron Magnets (2015) — p. 6-7

    Tabletop: Applies if a next machine moves to sectored pole tips; on a 12-inch machine the whole analysis is a spreadsheet/Octave job on the map you already took.

  20. For first beam, fix the RF frequency and slowly sweep the magnetic field through the resonance condition while watching the collector - this is how the Rutgers 9-inch prototype found its first beam.

    sweep B at fixed f until f = qB/(2*pi*m)

    beam-measurementmagnet dg-135

    Source, quote & tabletop applicability
    1st successful operation was recorded by slowly sweeping B-field to locate resonance condition. September 16, 1999

    Koeth et al., The Rutgers 12-Inch Cyclotron for Students (2010) — p. 8

    Tabletop: The standard commissioning move for a next machine: B-field is the easy knob to sweep since the RF stays matched at fixed frequency.

  21. Expect beam current to fall steeply with collector radius in an unshimmed weak-focusing machine; add ferromagnetic shims between chamber and pole faces to strengthen magnetic focusing and recover current at large radius.

    magnetbeam-dynamicsbeam-measurement dg-143

    Source, quote & tabletop applicability
    much of the beam current is being lost by the time the beam reaches larger radii... This could be done by adding shims of ferromagnetic material between the chamber and pole faces.

    Fuller, Exploring the Capabilities of the Houghton College Cyclotron — Houghton College thesis (2013) — p. 52-53

    Tabletop: Predicts the current-vs-radius profile the builder should measure, and the standard shim fix if a next machine loses beam before full radius.

  22. Measure n(r) by finite differences of Hall-probe readings on a rotating non-magnetic jig (aluminum disc in the median plane, 1 cm radial steps); approximating dBz/dr by dBz over 1 cm is adequate to reveal where focusing is lost.

    n ~ -(r/Bz)*(dBz/dr), dr = 1 cm steps

    beam-measurementmagnet dg-147

    Source, quote & tabletop applicability
    the dBz/dr term was approximated by dBz/dr, where dr is the difference between two radii (1 cm)

    Loucks, Initial Results from the Houghton College Cyclotron — Houghton College thesis (2007) — p. 36-38

    Tabletop: A directly copyable measurement rig for a next machine's field map: rotating grooved aluminum disc plus angular scale gives B(r,theta) with hardware the builder already owns.

  23. To find closed orbits experimentally, toss a current-carrying wire loop (e.g. 30 AWG, ~2.5 A) into the magnet gap: it snaps to and traces stable equilibrium orbits, revealing off-center orbits you would never find analytically.

    30 AWG loop, 71 mm circumference, 2.5 A

    beam-measurementmagnet dg-155

    Source, quote & tabletop applicability
    The energized wire loop simply needed to be tossed towards the gap and it would reproducibly snap to the nearest stable orbit.

    Koeth, Undergraduate Education with the Rutgers 12-Inch Cyclotron (2015) — p. 7

    Tabletop: A zero-cost field-quality diagnostic the builder can run on the existing magnet this weekend.

  24. Prove magnet field designs on a scale model before cutting full-size iron: ORIC used ~1/8-scale models with a rotating-coil fluxmeter on a 1/4-inch measurement grid, achieving ~0.6% RMS point accuracy.

    1/8-scale model; grid 1/4 in; error budget: recorder 0.2%, position 0.4%, current regulation 0.3% -> 0.6% RMS

    magnetbeam-measurement dg-179

    Source, quote & tabletop applicability
    Approximately 1/8-scale model magnets were energized ... A complete grid of points 1/4 in. apart is thus obtained over the entire model.

    Livingston & Howard (eds.), The Oak Ridge Relativistic Isochronous Cyclotron — ORNL-2648, OSTI 4275955 (1958) — p. 29, 31

    Tabletop: Inverted for the builder: their whole magnet is model-sized, so a dense XY hall-probe map on a ~5 mm grid with attention to probe positioning and current regulation (the two dominant error terms) is the equivalent discipline.

  25. Budget field-mapping errors explicitly: probe position error dominates where gradients are steep, and current regulation must be held to ~0.3% or better during a map.

    delta-B/B per point: position 0.4%, regulation 0.3%, readout 0.2%; goal 0.1%

    beam-measurementmagnet dg-180

    Source, quote & tabletop applicability
    The error due to probe position varies depending on the field gradient ... techniques available to us at this time fall short of the desired 0.1% accuracy.

    Livingston & Howard (eds.), The Oak Ridge Relativistic Isochronous Cyclotron — ORNL-2648, OSTI 4275955 (1958) — p. 31

    Tabletop: Directly applicable to a next machine's shimming: regulate magnet current (not just set it) while mapping, and index the probe mechanically, or the map noise will exceed the shim effects being measured.

  26. Expect a Q meter to read below true coil Q, because the instrument measures circuit Q and the coil's distributed capacitance loads the reading down.

    Q_measured < Q_true (distributed-capacitance error); circuit Q != coil Q

    coilsbeam-measurementrf dg-225

    Source, quote & tabletop applicability
    the presence of the coil's distributed capacity causes the Q observed by the Q meter to be lower than the true Q of the coil

    Murphy, The Elusive Q of Single-Layer Air-Core Coils — CQ Magazine, May 1999 (1999) — p. 1

    Tabletop: When characterizing the dee resonator with a VNA or Q meter, treat the reading as a lower bound and keep leads/fixture capacitance minimal.

  27. Direct HV probes fail above ~200 W forward power (the P6015 departed from the sqrt-P trend, acting like a resistive breakdown); calibrate a capacitive chamber pickup against the direct probe at low power and extrapolate linearly for high-power dee voltage measurement.

    Rutgers: Dee Vp-p = 3710 x pickup Vp-p (R^2 = 0.994), valid to at least 1300 W

    rfbeam-measurement dg-233

    Source, quote & tabletop applicability
    the induced voltage on the capacitive pickup facing the DEE was calibrated against forward power at lower levels. Extrapolation allowed us to measure forward power levels up to 1300 watts

    Koeth, Theoretical Calculations and Measurements of the DEE Voltage in the Rutgers 12 Inch Cyclotron (2005) — p. 3-4

    Tabletop: Exactly the measurement chain the builder needs for the LDMOS upgrade: calibrate their pickup at 5-50 W against a scope probe, then trust the pickup alone at 100-500 W.

  28. A high-voltage probe loads the tank measurably - the Tektronix P6015 added 3.0 pF and shifted the resonant frequency accordingly - so retune or correct for probe capacitance whenever a probe touches the dee stem.

    delta-C_probe = 3.0 pF (P6015)

    rfbeam-measurement dg-234

    Source, quote & tabletop applicability
    the P6015 probe introduced 3.0pF of capacitance; the tank circuit was indeed reduced in frequency corresponding to 3 pF

    Koeth, Theoretical Calculations and Measurements of the DEE Voltage in the Rutgers 12 Inch Cyclotron (2005) — p. 4

    Tabletop: With the reference machine's ~78 pF-class dee, 3 pF is a ~2% frequency pull - enough to detune a high-Q tank, so calibrate with the probe on, then remove it and retune.

  29. Protect the beam-current electrometer from RF pickup with a large series inductance (RF choke) in the collector lead instead of a thick shield around the collector tip.

    beam-measurementrf dg-241

    Source, quote & tabletop applicability
    the original purpose of the shield was to prevent RF from coupling to the pickup ... We agreed a large series inductance (an RF Choke) should mitigate this concern.

    Koeth, Rutgers 12 Inch Cyclotron Ion Source Studies: Part I (2006) — p. 1

    Tabletop: Lets the builder use an unshielded collector at nA levels: a ~100 uH-mH choke at the feedthrough kills 9 MHz pickup without blocking DC beam current.

  30. Sample line power through a ~30 dB directional coupler so a +17 dBm-max AD8307 log detector can read up to 200 W; 30 dB coupling keeps main-line loss negligible.

    P_coupled = P_line - 30 dB; 200 W (53 dBm) -> 23 dBm approx detector max

    rfbeam-measurement dg-264

    Source, quote & tabletop applicability
    The coupling factor is high, ~1000 or 30 dB, to minimize main line power loss ... enables 200 W power measurements using the AD8307 logarithmic detector IC

    Blodgett, 3.5 to 30 MHz Automatic Antenna Impedance Matching System (2012) — p. 18

    Tabletop: Exactly sized for the reference machine's 100-500 W upgrade: a homebrew 30 dB coupler plus AD8307 boards gives continuous forward/reflected monitoring across their whole power range.

  31. Calibrate homebrew power sensors in two ranges: against a VNA/signal generator at low power and against a Bird 43 thruline wattmeter from 30 to 100 W, building an ADC-to-dBm lookup table (AD8307 slope 25 mV/dB).

    AD8307: 0.025 V/dB slope, ~2.0 V intercept; two-range calibration 0-30 W and 30-100 W

    rfbeam-measurement dg-267

    Source, quote & tabletop applicability
    Figure 42 - 30 W to 100 W Power Calibration Setup using Bird 43 Wattmeter

    Blodgett, 3.5 to 30 MHz Automatic Antenna Impedance Matching System (2012) — p. 57-58

    Tabletop: The builder already lives in this instrument ecosystem; a Bird 43 (or borrowed one) transfers absolute power calibration to permanently installed cheap sensors.

  32. Validate the dee-voltage calibration with beam: calculation said first ions squeak past the source structure at 165 W, and in practice beam current dropped abruptly to zero at 170 W as RF power was ramped down from 300 W.

    predicted threshold 165 W vs measured beam cutoff 170 W at 14.864 MHz

    rfbeam-measurement dg-292

    Source, quote & tabletop applicability
    Calculation showing first ions squeak by at 165 Watts ... Beam current abruptly dropped to zero at 170 watts !

    Koeth et al., The Rutgers 12-Inch Cyclotron for Students (2010) — p. 20

    Tabletop: A free end-to-end check for the builder: the RF power at which beam vanishes measures the true dee voltage through pure geometry, independent of every probe.

  33. Infer dee voltage from beam physics: the radius of the first half revolution satisfies E(r) = qB^2 r^2/2m = (1/2) e Vp-p, giving a probe-independent 'beam inferred dee voltage' that Rutgers plotted alongside pickup and rectifier data.

    E(r) = q*B^2*r^2/(2m) = 0.5*e*Vp-p in first half revolution

    beam-measurementrf dg-294

    Source, quote & tabletop applicability
    Beam Inferred DEE Voltage

    Koeth et al., The Rutgers 12-Inch Cyclotron for Students (2010) — p. 33

    Tabletop: The builder can cross-check their 1.3 kV estimate by measuring where the first half-turn lands - the beam itself is the most honest voltmeter.

  34. When scanning the magnet at fixed RF frequency, expect resonance current peaks not just at the fundamental field B but at B/3, B/5, etc. (odd subharmonics), for every ion species present.

    peaks at B, B/3, B/5, ... for each q/m species

    beam-measurementrf dg-302

    Source, quote & tabletop applicability
    the location of current spikes at a given field strength always occur at or very near the theoretical resonances... at B/3, B/5, and so on.

    Fuller, Exploring the Capabilities of the Houghton College Cyclotron — Houghton College thesis (2013) — p. 46-47

    Tabletop: Essential for interpreting the reference machine's magnet scans: a peak at one-third field is a subharmonic, not a mystery species, and H2+ vs H+ vs They peaks can be disentangled this way.

  35. Calibrate the pickup probe by scanning frequency with the chamber open and a direct HV probe on the dee: Houghton found real dee voltage ~11,300x the pickup voltage at 3.55 MHz, and the factor must be re-measured every time operating frequency changes.

    V_dee = 11300 x V_pickup at 3.55 MHz (linear fit)

    rfbeam-measurement dg-307

    Source, quote & tabletop applicability
    the real voltage was roughly 11,300 times the pickup voltage ... the probe had to be recalibrated every time the frequency was adjusted.

    Haas, Characterizing the Performance of the Houghton College Cyclotron — Houghton College thesis (2009) — p. 65-66

    Tabletop: The pickup scale factor is frequency-dependent - the builder must recalibrate their pickup whenever they retune, not assume one constant.

  36. A tabletop machine can make measurable beam at very low RF power once matched: at SWR 1:1 and only 15.4 W forward, Houghton accelerated protons to 9.2 keV (r = 5.95 cm) with ~1.5 pA on the Faraday cup.

    15.43 W forward, SWR 1:1, 3.55 MHz -> 9.2 keV protons at 5.95 cm

    rfbeam-measurement dg-308

    Source, quote & tabletop applicability
    a SWR of 1:1 and forward power of 15.43 W were measured

    Haas, Characterizing the Performance of the Houghton College Cyclotron — Houghton College thesis (2009) — p. 69

    Tabletop: Reassurance for commissioning a next machine: hunt for first beam at tens of watts with a clean match before scaling power - beam detection, not power, is the bottleneck.

  37. Measure the actual harmonic spectrum with a spectrum analyzer through ~40 dB of attenuation before choosing any output filter: in a push-pull LDMOS deck the second harmonic is naturally suppressed but the third came out only 8-10 dB down, which is what the filter must attack.

    spec: spurious 43 dB below carrier below 30 MHz, 60 dB for VHF; measured 3rd harmonic only 8-10 dB down

    rfbeam-measurement dg-327

    Source, quote & tabletop applicability
    The real issue was the third harmonic, though; in general, it was only down 10 dB down and on some bands only 8 dB down.

    Buckler, Solid-State, 2-Decade, 1.25 kW Linear Amplifier — Development Notebook (2015) — p. 19

    Tabletop: A cyclotron dee tank is narrowband, but the same rule holds: measure what the PA actually emits before designing filtering or worrying about RF interference from a garage machine.

  38. A fresh hydrogen discharge beam is largely molecular H2+ ions; only after extended running does it become nearly all protons, so condition the source before assuming beam species, and verify with magnetic analysis.

    H2+ of energy E behaves like two protons of E/2 each: disintegration threshold doubles, curve rises twice as steeply

    ion-sourcebeam-measurement dg-365

    Source, quote & tabletop applicability
    At first this beam consists very largely of molecular ions, but after running for some time it changes over and becomes nearly all protons

    Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 261-262, 269

    Tabletop: Critical for p-B11: an unconditioned source delivers H2+ that behaves as half-energy protons, silently killing the expected alpha yield at fixed magnetic rigidity.

  39. If measured beam current is very low even close to the ion source (the large-turn-spacing region where probe masking cannot be the cause), suspect meager ion production rather than RF voltage or focusing.

    ion-sourcebeam-measurement dg-367

    Source, quote & tabletop applicability
    one should be suspicious of the ion source if the measured beam current is very low in the region close to the ion source, i.e. the regime of large turn spacing

    Koeth, Rutgers 12 Inch Cyclotron Ion Source Studies: Part I (2006) — p. 1

    Tabletop: A triage rule for the reference machine's low-current debugging: measure current at small radius first; if it's already low there, more RF power won't fix it - the source will.

  40. Beam current improved an order of magnitude (10 -> 70 pA) by running higher frequency, lower H2 partial pressure (2.2e-6 vs 1.5e-5 torr), lower base pressure, and a much smaller filament bias (-6 V vs -100 V) - gas scattering and source conditions dominate over RF power.

    6.04 MHz, H2 2.2e-6 torr, -6 V filament -> 70 pA vs 3.55 MHz, 1.5e-5 torr, -100 V -> 10 pA

    ion-sourcevacuumbeam-measurement dg-391

    Source, quote & tabletop applicability
    Higher frequency, lower H2 and base pressure, lower filament voltage

    Yuly et al., Modifications on the Houghton College Cyclotron (2010) — p. 17-18

    Tabletop: For the reference machine's current-hunting: before adding RF watts, cut chamber pressure and re-optimize filament bias - Houghton's 7x gain cost zero watts.

  41. Run the chamber between 1e-6 and 1e-4 Torr of hydrogen: below that there is too little gas to ionize, above it neutral collisions shorten the mean free path and the resonance peaks broaden and shift; peak current (~0.1 uA) came at ~1e-4 Torr.

    operating pressure 1e-6 to 1e-4 Torr; best current 0.1 uA at ~1e-4 Torr; typical running 2e-5 Torr

    vacuumion-sourcebeam-measurement dg-405

    Source, quote & tabletop applicability
    The pressure in the chamber has a large effect on the beam current obtained, and typically needs to be in the range from 1e-6 to 1e-4 Torr for the cyclotron to operate.

    Yuly, The Houghton College Cyclotron: a Tool for Educating Undergraduates — Cyclotrons 2013, WE1PB01 (2013) — p. 5

    Tabletop: Directly sets the gas-handling operating window for the reference machine and explains a common 'no beam' failure at too-good vacuum.

  42. Expect extracted (target) current to be roughly 20-25% of PIG discharge current; scale beam current by raising pressure or discharge voltage, both of which raise discharge current.

    I_target/I_discharge ~ 0.25 (H2), 0.21 (He); 1.5 mA target at 6.0 mA discharge, 5.4 kV

    ion-sourcebeam-measurement dg-411

    Source, quote & tabletop applicability
    the source has a current utilization efficiency (ratio of target to discharge current) of 25% and requires 32.4 W of power.

    Rovey, Ruzic & Houlahan, Simple Penning Ion Source for Laboratory Research and Development Applications (2007) — p. 3

    Tabletop: Gives the builder a sanity check: nA-to-uA beams need only uA-to-mA class discharges; if their beam/arc ratio is far below ~20% the extraction geometry is losing beam.

  43. Make alpha spectroscopy measurements with source-to-detector spacing of 1.5-2 times the detector diameter and vacuum better than 100 microns Hg (10 Pa).

    spacing = 1.5-2 x detector dia; P < 100 um Hg (10 Pa)

    detectorsbeam-measurementvacuum dg-439

    Source, quote & tabletop applicability
    Alpha resolution measurements should be made with a detector source spacing equal to 1.5 to 2 times the detector diameter and under good vacuum (< 100 microns HG or 10 Pa).

    Canberra, PIPS Detector Instruction Sheet (2012) — p. 1

    Tabletop: For his ~8 mm active-diameter PIPS, that is 12-16 mm standoff; closer spacing degrades resolution through wide-angle entrance-window losses.

  44. On an RGA, an air leak shows O2 at m/z=32 alongside N2 at 28 (ratio ~4:1 N2:O2); a big 18 peak with falling rate-of-rise is water outgassing - this single scan separates 'open the chamber' from 'keep pumping'.

    air leak signature: m/z 28 with 32 present; water outgassing: dominant 18 (17) with decreasing rise rate

    vacuumbeam-measurement dg-449

    Source, quote & tabletop applicability
    Air leaks are discerned by the presence of oxygen at m/z = 32... Outgassing and water line leaks each can produce a large peak at m/z = 18, but they can be distinguished by the rate of rise.

    O'Hanlon, A User's Guide to Vacuum Technology, 3rd ed. (2003) — p. 471

    Tabletop: A used RGA head is arguably the single best diagnostic upgrade for a next machine - one spectrum replaces a day of guessing.

  45. Check that beam probes/collectors are thinner than the local turn spacing: at 10 kV Vp-p and 1.0 T the turn spacing near r = 4 in is only 0.04 in, so a 0.06-in-thick RF shield on the collector tip masks real beam.

    dr = V_gain/(2E_total) * r; Rutgers: dr = 0.04 in at r = 4 in for 10 kVp-p, 1.0 T

    beam-measurementbeam-dynamics dg-494

    Source, quote & tabletop applicability
    the ion revolution turn spacing near r = 4 inches, in a B-field of 1.0T will be just 0.04 inches, which is smaller than the 0.06 inch RF shield of the tip

    Koeth, Rutgers 12 Inch Cyclotron Ion Source Studies: Part I (2006) — p. 1

    Tabletop: At the reference machine's ~1.3 kV dee voltage turn spacing is even smaller, so a bare, grooved copper collector (no thick shield) is essential or the probe reads zero while beam exists.

  46. Expect at best ~25 percent of circulating (resonant) beam to survive extraction under optimum tuning, and plan routine operation at less; internal probe targets see several times the extracted current.

    extraction efficiency <= ~25% (MIT: 150 uA extracted of ~600 uA circulating; routine 80-100 uA)

    beam-dynamicsbeam-measurement dg-496

    Source, quote & tabletop applicability
    Emergent beam intensities up to 25 per cent of the resonant beam intensity have been obtained under optimum conditions ... practical operating intensities would in this case be limited to 80 or 100 ua.

    Livingston & Blewett, Particle Accelerators (1962) — p. 182

    Tabletop: Judge a next machine first on internal-probe current at full radius; a 4:1 ratio between internal and extracted beam is historically normal, not a failure.

  47. Size an electrostatic deflector from Vd/d = (2T/e) * dR/(R(R+dR)): peeling a 0.472 MeV proton beam from R = 4 in to 4.5 in with a 0.291-in channel requires ~32.5 kV on the electrode.

    Vd/d = (2T/e)*(dR)/(R*(R+dR)); B=0.976 T, T=0.472 MeV, d=0.291 in -> Vd = 32.5 kV

    beam-dynamicsbeam-measurement dg-501

    Source, quote & tabletop applicability
    Vd = 32.531 kV

    Ponter, Beam Energy Measurements with a New HV Deflection System and Ion Source Upgrades on the Rutgers 12-Inch Cyclotron (2010) — p. 6

    Tabletop: Gives the builder the extraction-voltage scale for a next machine: deflector kV requirements scale linearly with beam energy, so a ~100 keV beam needs only ~7 kV in the same geometry.

  48. In fixed-frequency magnet scans expect harmonic beam peaks at fields of B/n for odd n - Houghton observed H+/3, H+/5, H+/7, H2+/9 etc. - so label every peak with species and harmonic number before claiming fundamental beam.

    resonance at B/n, n odd (ion accelerated on every nth RF cycle)

    beam-measurementbeam-dynamics dg-502

    Source, quote & tabletop applicability
    H2+/9 H+/7 H+/5 H+/3 H+ H2+

    Yuly et al., Modifications on the Houghton College Cyclotron (2010) — p. 15-18

    Tabletop: Prevents misidentifying beam in the reference machine's B-field sweeps: a peak at one-third the expected field is the same ion on the 3rd harmonic, not a new species.

  49. Recognize the phase-slip failure signature: once the accumulated phase difference reaches pi/2 the ion gains nothing at the gap and beyond that it loses energy and spirals back inward, so beam current drops abruptly to near zero past a particular radius.

    phase difference > pi/2 -> deceleration; beam current collapses beyond that radius

    beam-dynamicsbeam-measurement dg-505

    Source, quote & tabletop applicability
    If many ions in the beam fall out of phase before reaching maximum Dee radius, the beam current will drop suddenly to near zero beyond whatever radius the ions tend to reach

    Morrow, Focusing in the Houghton College Cyclotron — Houghton College thesis (2015) — p. 28, 57

    Tabletop: Diagnostic rule: a sharp cutoff in the radial current profile means phase slip, not wall collisions - which points at field shape/Dee voltage rather than focusing.

  50. Identify beam species by sweeping magnet current at fixed RF: resonances appear at B and at B/n for odd n (B/3, B/5), so H+, H2+ and He+ each show up several times in a magnet scan - a cheap mass spectrometer for the internal beam.

    f = n f' = n (eB/(2 pi m n)), n odd; e.g. He+ B/3 resonance at 320 mT for 3.68 MHz

    beam-measurementbeam-dynamics dg-506

    Source, quote & tabletop applicability
    for a fixed frequency f, resonances will occur for lower magnetic fields, e.g. B/3 and B/5, corresponding to an odd multiple of a lower frequency

    Yuly, The Houghton College Cyclotron: a Tool for Educating Undergraduates — Cyclotrons 2013, WE1PB01 (2013) — p. 4-5

    Tabletop: Practical commissioning technique: the builder can confirm they are accelerating protons (not H2+ or contaminants) with only a magnet current sweep and an electrometer.

  51. The circulating beam is not continuous: ions populate only about 40 degrees of the 360-degree RF cycle, so average current understates peak current by roughly 9x.

    bunch width ~40 deg of RF cycle

    beam-dynamicsbeam-measurement dg-507

    Source, quote & tabletop applicability
    Frame-by-frame analysis... revealed that ions nominally populate 40 degrees of the 360 degree RF cycle in our cyclotron.

    Koeth, Undergraduate Education with the Rutgers 12-Inch Cyclotron (2015) — p. 9

    Tabletop: Sets expectations for pulsed diagnostics and duty-factor arithmetic on any measurement the builder makes with fast instrumentation.

  52. Suppress secondary electrons from a current-measuring target by immersing it in a stray magnetic field and insulating it (here with an ebonite sleeve); the microammeter then reads the true ion current.

    beam-measurement dg-508

    Source, quote & tabletop applicability
    The stray magnetic field over T effectively prevents the escape of secondary electrons, so that the current measured is the true ion current.

    Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 262

    Tabletop: The reference machine's Faraday cup inside the cyclotron fringe field gets free secondary-electron suppression; outside the field it needs an explicit suppressor bias or magnet.

  53. For alpha counting close to a target, place a thin mica window ~1 cm from the beam spot on a minimal-shadow grid to capture a large solid angle (~0.7 sr), and calibrate absorber stack and dead space against a known polonium alpha source (range 3.80 cm air at 15 C, 760 mm).

    window at 1 cm, solid angle ~0.7 sr; Po alpha range reference 3.80 cm

    detectorsbeam-measurement dg-509

    Source, quote & tabletop applicability
    a mica window W, 1 cm in diameter and supported on a grid which subtends the smallest possible area... The solid angle obtained in this way is approximately 0.7.

    Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 262-265

    Tabletop: The close-geometry, calibrate-with-a-known-alpha-source method is exactly how the builder should commission their PIPS geometry before hunting p-B11 alphas.

  54. Diagnose acceleration radially with an insertable probe on a sliding seal: beam-current vs probe radius, and the width of beam marks on the probe edge, map both resonance quality and the vertical envelope.

    beam-measurement dg-510

    Source, quote & tabletop applicability
    One technique has been to measure the width of the region of induced radioactivity on the leading edge of probes inserted to different radial locations.

    Livingston & Blewett, Particle Accelerators (1962) — p. 174-167

    Tabletop: A radial probe (the reference machine's shielded Faraday cup on a linear feedthrough) is the workhorse diagnostic; falling current at some radius localizes where field shape loses the beam.

  55. For absolute field calibration use proton NMR: B(gauss) = 234.82 x f(MHz); Hall probes are ~1 percent devices and temperature-sensitive, search-coil fluxmeters are relative instruments.

    B(gauss) = (234.82 +/- 0.13) * f(Mc/s); Hall: InAs plate, ~20 mV per kG at 0.2 A

    beam-measurement dg-511

    Source, quote & tabletop applicability
    The frequency for resonance can be measured and reduced to magnetic field through the relation B = (234.82 +/- 0.13)f where B is in gauss and f is in megacycles per second.

    Livingston & Blewett, Particle Accelerators (1962) — p. 286-287

    Tabletop: 5.9 kG corresponds to 25.1 MHz proton NMR; the machine's own resonance (f, e/m) also gives the average field to ~0.5%, a free sanity check.

  56. Benchmark resolution with a pulser: pulser line width should be about 5 keV narrower than the alpha resolution (warranted 11 keV FWHM here), and system noise is about 3 times the pulser FWHM.

    FWHM_pulser ~ FWHM_alpha - 5 keV; noise ~ 3 * FWHM_pulser; certificates: electronic 5.5-5.6 keV, alpha 10.9-11.0 keV FWHM (241Am 5486 keV, 0.5 us shaping)

    detectorsbeam-measurement dg-512

    Source, quote & tabletop applicability
    Pulser line width should be about 5 keV (FWHM) narrower than Alpha Resolution ... the noise level which is approximately 3 times the pulser line width (FWHM).

    Canberra, PIPS Detector Instruction Sheet (2012) — p. 1-3

    Tabletop: A pulser check separates electronics noise (grounding, RF pickup from the 9 MHz drive) from true detector degradation without risking source contamination.

  57. Put a negatively biased retarding grid in front of the Faraday cup (potentiometer-adjustable) to drive secondary electrons back into the cup and read true beam current.

    beam-measurement dg-513

    Source, quote & tabletop applicability
    A retarding grid attached to the front of the Faraday cup will eliminate loss of secondary electrons... The grid will be at some negative potential.

    King, A Preliminary Design for a Small Permanent Magnet Cyclotron — Houghton College thesis (2002) — p. 24

    Tabletop: Slightly better-engineered alternative to the 9 V cup bias; easy to add to the reference machine's beam probe.

  58. Find the beam by rocking either RF frequency or magnet current through resonance with the probe pushed in near the center, then withdraw it while re-optimizing arc, filament, and RF on the beam-current reading.

    beam-measurement dg-514

    Source, quote & tabletop applicability
    either one rocked back and forth until a current peak is indicated on the target probe. The probe may be pushed in closer to the center to facilitate locating this resonance.

    Wouters, General Recommendations for Design of Small Cyclotrons — UCRL-476 (1949) — p. 11

    Tabletop: Directly applicable commissioning procedure; starting the search at small radius relaxes the resonance tolerance enormously.

  59. Authenticate a beam by the sharpness of the current peak versus RF tuning and magnet current and by its sensitivity to hydrogen pressure; background (non-orbit) currents are broad and insensitive.

    beam-measurement dg-515

    Source, quote & tabletop applicability
    the authenticity of the beam should be checked by the sharpness of resonance as a function of r.f. tuning and magnet current, as well as by its sensitivity to hydrogen gas pressure

    Wouters, General Recommendations for Design of Small Cyclotrons — UCRL-476 (1949) — p. 11

    Tabletop: Directly applicable; a 'beam' that stays constant while you detune B or RF is ion leakage to the probe, not orbiting protons.

  60. Give the target probe a high resistance to ground and protect its meter with RF chokes and bypasses; expect a few microamperes on a small machine (the 6-inch gave 7 uA).

    6-inch machine: ~7 uA internal beam

    beam-measurementdetectors dg-516

    Source, quote & tabletop applicability
    The six-inch cyclotron has indicated a 7 microampere beam, at a frequency corresponding to about 800 kv protons.

    Wouters, General Recommendations for Design of Small Cyclotrons — UCRL-476 (1949) — p. 11

    Tabletop: Directly comparable scale; microamp-level internal beam is a realistic expectation for a next machine and the choke-protected probe is the right pickup.

  61. For final proof of acceleration use a nuclear signature: fuse LiF onto a stainless probe tip and look for prompt gammas from proton bombardment of Li and F.

    LiF target fused on stainless block; p+Li / p+F gamma emission

    beam-measurementdetectors dg-517

    Source, quote & tabletop applicability
    a convenient target substance would be LiF which, when bombarded with protons, will emit gammas from Li ... The target may be prepared by simply fusing a small amount of LiF onto a small stainless steel block

    Wouters, General Recommendations for Design of Small Cyclotrons — UCRL-476 (1949) — p. 11

    Tabletop: Partially applicable: the p-Li gamma resonance needs ~440 keV, above the reference machine's 160 keV; a next machine reaching 0.5 MeV could use exactly this LiF-on-probe gamma check with their gamma detector.

  62. Sub-resonance p-B11 measurements were made with only 0.5-10 nA of protons on target (with ~60-70 keV beam energy resolution); nA-scale beams suffice for alpha spectroscopy given ~1e-4 sr detectors and thin targets.

    0.5-10 nA on target for Ep = 0.15-0.4 MeV data; 100-200 nA at higher energies

    beam-measurementdetectors dg-518

    Source, quote & tabletop applicability
    At these energies beam intensities varied from 0.5 to 10 nA on target and beam resolution varied from approximately 60 to 70 keV.

    Spraker et al., The 11B(p,α)8Be → α+α and the 11B(α,α)11B Reactions at Energies Below 5.4 MeV (2012) — p. 359

    Tabletop: The single most encouraging number in the batch: professional low-energy p-B11 data were taken at exactly the reference machine's nA beam scale.

  63. Report p-B11 yields as total alphas detected per luminosity (counts/(Nt*Np*dOmega)), not as a cross section, because the number of alphas per reaction contributing to the main peak varies with energy (~2.1 at the 675 keV resonance vs ~1.5 at 2.64 MeV).

    X = Counts/(Nt*Np*dOmega) [cm2/sr]; multiplicity in dominant peak: ~2.1 (0.675 MeV), ~1.5 (2.64 MeV)

    detectorsbeam-measurement dg-519

    Source, quote & tabletop applicability
    simulations show that out of the three emitted a-particles, on average 2.1 a-particles contribute to this peak at the 0.675 MeV resonance

    Spraker et al., The 11B(p,α)8Be → α+α and the 11B(α,α)11B Reactions at Energies Below 5.4 MeV (2012) — p. 359-360

    Tabletop: When the builder converts PIPS counts to a 'cross section' they must divide by ~2 alphas per reaction - or better, publish counts-per-luminosity as this paper does.

  64. Normalize alpha yields by integrated beam current and calibrate each detector's relative solid angle with low-energy Rutherford scattering on gold plus a known Am-241 alpha source.

    solid-angle calibration: Rutherford on Au + 241Am source; yield normalization: integrated charge x dOmega

    beam-measurementdetectors dg-520

    Source, quote & tabletop applicability
    The relative solid angles for each detector were measured using low energy Rutherford scattering on gold as well as a known 241Am source.

    Spraker et al., The 11B(p,α)8Be → α+α and the 11B(α,α)11B Reactions at Energies Below 5.4 MeV (2012) — p. 360

    Tabletop: The builder already owns the pieces: their Faraday cup/Keithley 617 integrates charge, and an Am-241 check source calibrates PIPS solid angle and energy scale.

  65. A simple energy-spread formula from deflector geometry predicts measured spread well: Rutgers predicted dT = 12.7 keV and measured 13.3 keV on a ~0.5 MeV beam using the phosphor-screen spot width.

    dT = (V*R^2/d) * (eps_r/(R^2 - eps_r^2)); predicted 12.73 keV vs measured 13.3 keV

    beam-measurement dg-521

    Source, quote & tabletop applicability
    energy at far left: T=.5087 MeV ... dT=13.3 keV ... Theory: dT/2=12.73 keV

    Ponter, Beam Energy Measurements with a New HV Deflection System and Ion Source Upgrades on the Rutgers 12-Inch Cyclotron (2010) — p. 35-40

    Tabletop: Shows a phosphor screen plus this one formula suffices for energy-spread measurement at student-machine scale - no magnetic spectrometer needed.

  66. Put the discharge/beam current meter in the grounded return leg of the HV supply (e.g., at a center-tapped transformer case) so the ammeter sits at ground potential; include a 10 megohm bleeder and wait 2 minutes after shutdown.

    ammeter in ground return; 10 MOhm bleeder; 100 uA meter movements with shunts/series resistors

    beam-measurementsafety dg-522

    Source, quote & tabletop applicability
    The location of the ammeter in the circuit keeps it essentially at ground potential... Do not omit the 10 meg bleeder resistor.

    Hull, The Farnsworth/Hirsch Fusor — The Bell Jar, Vol. 6 No. 3/4 (1997) — p. 8

    Tabletop: The ground-leg metering trick is how the builder can safely log arc and extraction currents on the next machine without floating instruments at kV.

  67. Bias the beam collector (a 9 V battery suffices) to suppress secondary-electron emission; unbiased collectors read falsely high beam current.

    +9 V collector bias

    beam-measurement dg-523

    Source, quote & tabletop applicability
    The beam current measured was lower with the addition of the voltage bias... the bias reduces the emission of secondary electrons, resulting in a more accurate measurement.

    Fuller, Exploring the Capabilities of the Houghton College Cyclotron — Houghton College thesis (2013) — p. 55-56

    Tabletop: A one-component fix for honest current numbers on any Faraday-cup measurement the builder makes.

  68. Bias the internal target/Faraday collector to about +9 V when measuring beam current, otherwise secondary electrons leaving the target corrupt the reading.

    +9 V (battery) bias on target vs grounded target comparison

    beam-measurementdetectors dg-524

    Source, quote & tabletop applicability
    A +9 V bias can be applied to the target using a battery to reduce the effect of secondary electrons on beam current measurements ... secondary electrons are created in significant numbers on the target.

    Yuly, The Houghton College Cyclotron: a Tool for Educating Undergraduates — Cyclotrons 2013, WE1PB01 (2013) — p. 4-5

    Tabletop: One battery fixes a systematic error in the main diagnostic the builder has; also gives a way to separate true beam from secondaries.

  69. Accept that beam current falls with target radius and that the honest headline number for a small machine is small: Houghton's best was ~0.1 uA at a B/3 resonance and only 3 pA at the highest proton energy reached, 160 keV at 796 mT and 12.1 MHz.

    0.1 uA best (B/3 resonance); 3 pA at 160 keV, 796 mT, 12.1 MHz; 400 keV theoretical needs more magnet current, cooling, and higher RF frequency

    beam-measurementcyclotron-general dg-525

    Source, quote & tabletop applicability
    The highest proton energy obtained so far is about 160 keV, with a 3 pA peak near the correct magnetic field of 796 mT for 12.1 MHz.

    Yuly, The Houghton College Cyclotron: a Tool for Educating Undergraduates — Cyclotrons 2013, WE1PB01 (2013) — p. 5

    Tabletop: Calibrates expectations exactly at the reference machine's operating point (~160 keV) and names the three things that gate the next factor of 2-3: magnet current, cooling, RF frequency.

  70. Take multi-kW beams on grazing-incidence water-cooled targets so the power spreads over a long footprint (86-inch: 41.7 kW on a 6 x 10 inch aluminum grazing target).

    grazing incidence spreads P_beam over ~L/sin(theta)

    materialsbeam-measurement dg-526

    Source, quote & tabletop applicability
    operating steadily for some time with 500 ua of 23 Mev protons on a 6 by 10 inch water-cooled aluminum target of the grazing-incidence type

    Livingston & Boch, The Oak Ridge 86-Inch Cyclotron — ORNL-1196, OSTI 4357145 (1952) — p. 24

    Tabletop: Overkill at the reference machine's ~mW beam power, but the geometry trick transfers if a next machine ever puts tens of watts on a probe tip: tilt the target.

  71. When simulating an existing magnet, expect calculated coil-field contributions to need calibration coefficients of only ~1-2% of the current value to match measurement; agreement at that level validates using measured currents directly in the model.

    calibration factor on winding field contribution ~ 1-2%

    magnetbeam-measurement dg-566

    Source, quote & tabletop applicability
    the so-called calibration coefficients are introduced to the level of the field created by the windings, which, as a rule, are not large and amount to ~1-2% of the current value

    Smirnov, The Cyclotron and Its Modeling — Phys. Part. Nuclei 52 (2021) — p. 50

    Tabletop: Sets the expected FEMM-vs-Hall-probe discrepancy for the reference machine's magnet: 1-2% mismatch is normal (unknown B-H curves, geometry error) and should be absorbed by a per-coil scale factor in the builder tool, not chased in the mesh.

  72. Multi-turn extraction energy spread is ~2*q*Vdee; single-turn extraction requires RF phase width |phi| < sqrt(2/N) (a few degrees for hundreds of turns) and field stability better than dB/B ~ 2e-4.

    |phi| < arccos(N/(N+1)) ~ sqrt(2/N)

    extractionrfbeam-measurement dg-596

    Source, quote & tabletop applicability
    This results in a phase acceptance of only a few degrees for the typical case of a few hundred turns.

    Baartman, Cyclotrons: Why/How Are Their Dynamics Different? — JINST 18 T03005 (2023) — p. 10

    Tabletop: Do not chase single-turn extraction: accept multi-turn with dE ~ 2*e*Vdee (~20 keV at 10 kV dee), which PIXE tolerates. (Spread and dB/B: botman p.11-14.)

  73. Verify turn separation before building the deflector: a differential radial probe with ~2 mm finger spacing resolves the turn pattern and the precessional oscillation near extraction.

    extractionbeam-measurement dg-602

    Source, quote & tabletop applicability
    Figure 11 shows a differential probe measurement for this cyclotron in the extraction region. The separation between the probe fingers is 2 mm. The figure reveals the radial oscillation near extraction.

    Botman & Hagedoorn, Extraction from Cyclotrons — CAS, CERN 96-02 (1996) — p. 11-12

    Tabletop: The reference machine already probes the internal beam; adding a two-finger (or shadow-bar) differential probe turns the existing radial probe into the diagnostic that decides septum placement.

  74. Forringer chimney/slit trade (measured, 40 kV dc puller, 3 sccm H2): 0.25 x 5.0 mm slit gives 52-227 uA protons at 50-450 mA arc (I_beam/I_arc ~ 0.001-0.0005) with radial emittance ~25 mm-mrad independent of current; 0.51 mm slit gives 230-590 uA at only 50-150 mA (~0.004 x I_arc) but emittance grows with current (47->65 mm-mrad). Wider slit = more current per arc-watt, brighter is narrower.

    I_beam ~ (1-5)e-3 x I_arc for 0.25-0.5 mm slits at 40 kV extraction

    ion-sourcebeam-measurement dg-619

    Source, quote & tabletop applicability
    Table 3.4: Slit 0.010" 40 kV, 450 mA, 3.0 cc/min -> 227 uA; Slit 0.020" 40 kV, 150 mA, 3.0 cc/min -> 590 uA

    Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 88-91

    Tabletop: Start a next machine with the 0.5 mm x 5 mm slit: at 50-150 mA arc it made 230-590 uA at 40 kV; even derated ~30x for a 4 kV dee (V^1.5 scaling at fixed gap) that is ~10-20 uA available — four orders of magnitude over the present 3 nA best.

  75. Cold-cathode PIG H+ vs H2+ control (measured): at normal operating points (50-350 mA arc, >=2.0 cc/min H2, arc supply in current limit below 3 kV) the extracted beam showed no detectable H2+; starving the gas to 0.5 cc/min flipped the arc into the 3.5 kV voltage-limited mode (current fell to 90 mA) and H2+ appeared.

    H2+ suppressed for flow >= 2 cc/min and arc current-limited; H2+ appears at starved 0.5 cc/min

    ion-sourcebeam-measurement dg-622

    Source, quote & tabletop applicability
    Under normal ion source opperating conditions ... no H2+ ions were observed. We were able to observe H2+ ions by lowering the gas supply to 0.5 cc/min.

    Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 89

    Tabletop: Species purity is a tuning knob the reference machine has never had: run the PIG current-regulated at healthy gas flow for a clean proton beam at f = qB/2*pi*m, or starve it deliberately to hunt H2+ on harmonics. Removes the H+/H2+ ambiguity that has dogged the reference machine's run interpretation.

  76. Develop shims with a relative field measurement along a radius good to 0.1%; build that measuring capability before starting detailed shim studies.

    magnetbeam-measurement dg-639

    Source, quote & tabletop applicability
    A method of measuring the relative field in the gap at points along a radius to .1 percent was developed and used on later detailed shim studies on this magnet.

    Creutz, Design and Construction of Synchro-Cyclotron — NYO-780 (1950) — p. 9

    Tabletop: Directly applicable - a 0.1% relative radial map (differential Hall probe or flip coil) is the entry ticket to meaningful n(r) shimming on the next machine.

  77. Characterize your RF circuit cold: measure dee/anode-to-ground capacitance with an impedance bridge using a scope as null detector, and subtract measured lead capacitance (29 pF here) - +/-2 pF accuracy is achievable.

    rfbeam-measurement dg-684

    Source, quote & tabletop applicability
    The measurements were made with G-R Impedance Bridge, Type 650-A Serial #1977, and are +/- 2 uuf. Lead capacity of 29 uuf has already been deducted.

    Anderson, 184″ Cyclotron: Oscillator Capacitance Measurements — MDDC-964 (1947) — p. 3

    Tabletop: A modern LCR meter with lead-nulling does the same job on the reference machine's dee stem; knowing C-to-ground before pump-down predicts the ~9 MHz resonance and flags assembly errors.

  78. Scan a bombarded target assembly past a 1/8-inch slot in lead bricks with a counter behind it to map where beam really struck; Berkeley found the hottest spots (21 and 13 mR/hr) on the foil-holder edges, not the 18.5 mR/hr foil itself.

    beam-measurementdetectorssafety dg-685

    Source, quote & tabletop applicability
    a high intensity point (21 mr/hr) on the top outside edge of the copper foil holder, another high intensity point (18.5 mr/hr) on the foil just above the median plane

    Reyenga, 184″ Cyclotron: Radiation Measurement of Breech Load Probe Head — MDDC-982 (1947) — p. 3

    Tabletop: At nA/sub-MeV there is no activation to survey - but the lesson stands: always check holder edges and apertures for beam strike (film, phosphor, or discoloration), since a large fraction of beam can miss the target.

  79. Measure vertical beam envelope with zero electronics: bombard U-slotted 1/16-in copper targets (slot widths 2.5-4.5 in bracketing the beam) for 1-3 minutes and radioautograph them - beam that spreads vertically tags the slot arms.

    beam-measurementfabrication dg-687

    Source, quote & tabletop applicability
    bombarded with a large deuteron beam for about 1 to 3 minutes, removed from the tank and radioautographs were taken to determine where the beam was hitting.

    Vale, 184-inch Cyclotron Vertical Beam Oscillations in the Region of 82-inch Radius — MDDC-984 (1947) — p. 3

    Tabletop: Copy the C-target geometry but read it with phosphor screen or dental X-ray film instead of activation; a set of slotted witness targets at different radii gives the whole vertical envelope in a few runs.

  80. Multiple 'pips' per beam pulse on one probe are precession, not source noise: a second probe 155 degrees away showed the same structure with the expected phase shift, and current simply transferred between probes as the inner one moved from 28.25 to 27.56 in.

    beam-measurementbeam-dynamics dg-688

    Source, quote & tabletop applicability
    in an effort to determine more definitely that the peaks, or 'pips,' shown in synchroscope photographs of the beam current are caused by precession of the beam.

    Yeater, 184″ Cyclotron: Synchroscope Beam Pictures on Two Probes — MDDC-987 (1947) — p. 3

    Tabletop: The FM pulse envelope is synchro-specific, but the two-azimuth probe comparison transfers: any structure that keeps a fixed phase relation between azimuths is orbit dynamics; anything common-mode is source or RF fluctuation.

  81. Build beam probes as RF-shielded copper fingers entering through a Wilson seal so radial depth is adjustable under vacuum - Berkeley added a whole second diagnostic probe this way without breaking vacuum architecture.

    beam-measurementsealsvacuum dg-689

    Source, quote & tabletop applicability
    An auxiliary copper probe, shielded for RF pickup, was introduced into the main vacuum tank through a Wilson seal on the port near the ion source ... made adjustable as to its radial depth

    Yeater, 184″ Cyclotron: Synchroscope Beam Pictures on Two Probes — MDDC-987 (1947) — p. 3

    Tabletop: Exactly the right probe pattern for the reference machine's chamber: an O-ring/Wilson-sealed sliding shaft with grounded shield tube; unshielded probes near a 9 MHz dee read RF pickup, not beam.

  82. For first detection of a weak deflected beam, photographic film on the probe beats an ion chamber: compare exposures with deflector on and off; Berkeley's ion-chamber 'detection' could not be reproduced but film showed the displacement.

    beam-measurementdetectors dg-690

    Source, quote & tabletop applicability
    The best detection of the beam deflection was made by mounting X-ray film on the probe and exposing it to both the undeflected and deflected beam.

    Sewell, 184″ Cyclotron: Vertical D.C. Electrostatic Deflector — MDDC-1051 (1947) — p. 2

    Tabletop: A next machine's extraction commissioning should start with on/off comparison images (film, phosphor, or CCD) at the channel exit; integrating detectors see sub-nA deflected beams that electrometers lose in RF noise.

  83. Localize where beam dies by surveying activation of dee edges and liners: a sharp radioactivity peak on the dee lip at exactly 82 in confirmed the vertical-loss radius independent of target experiments.

    beam-measurementsafety dg-695

    Source, quote & tabletop applicability
    a sharp peak of radioactivity was found on the dee lip at the 82-inch radius, which gave additional evidence that the beam was spreading vertically in this region.

    Sewell, Henrich & Vale, Some Operating Phenomena Associated with the 184-inch Cyclotron — MDDC-1092 (1947) — p. 3

    Tabletop: No activation at tabletop energies - instead line the dee aperture with removable witness strips (paper, phosphor, anodized Al) and read burn/discoloration marks to find the loss radius; the localization logic is identical.

  84. Probe-current fine structure is quantitative: the minor-pulse frequency equals the orbit-center precession frequency omega_prec = (1 - sqrt(1-n))*omega_0, so counting pips at a known probe radius measures n there.

    omega_prec = (1 - sqrt(1-n))*omega_0

    beam-measurementbeam-dynamics dg-696

    Source, quote & tabletop applicability
    The frequency of the minor pulses in each beam pulse agrees quite well with the calculated frequency of precession of the center of rotation of the ions about the magnetic center of the system

    Sewell, Henrich & Vale, Some Operating Phenomena Associated with the 184-inch Cyclotron — MDDC-1092 (1947) — p. 4

    Tabletop: Transfers with caveats: on a CW fixed-frequency machine you need a pulsed source or fast probe electronics to see the structure, but a pulsed-arc mode run makes precession directly visible on a scope.

  85. Internal beams of 100-3000 uA were routine on even the smallest census machines (ISSP 16-in: 100 uA d at 10-18 kV dee; BNL 18-in: 1-2 mA p; ANU 31-in: 3 mA), but extraction delivered only ~1-40% of that (Copenhagen 2%, ANU 8%, BNL up to 40%).

    beam-measuremention-sourcebeam-dynamics dg-703

    Source, quote & tabletop applicability
    Internal Beam, Stable, ua 1000-2000 ... External Beam, Stable, 800 ua; 100 ua focused on target 15 ft from machine

    Howard, Cyclotrons and High-Energy Accelerators, 1958 — ORNL-2644 (1958) — p. 107

    Tabletop: If the reference machine sees nA, the gap to the historical uA-mA norm lives in source output and center-region transmission, not physics limits - and even good 1950s machines lost most of the beam at extraction, so budget a next machine's external current pessimistically.

  86. Pulse or modulate the beam electronically through the dee-voltage control loop rather than the source: a small current injected into the modulation-amplifier input depressed dee voltage about 1% per 10 uA, with recovery time set only by the control-loop bandwidth.

    ~1% dee-voltage depression per 10 uA injected at the "or"-gate input

    rfbeam-measurement dg-712

    Source, quote & tabletop applicability
    The dee voltage is depressed about 1% for each 10 uA of injected current, and because a balance is maintained at the input of the amplifier, the recovery time is limited only by the bandwidth

    Osterlund & Smythe, A Cyclotron Power-Amplifier RF System Using a 4CW50,000C/8350 Tetrode — COO-535-543 (1963) — p. 6

    Tabletop: A tabletop ALC loop gets beam pulsing for activation or timing experiments for free - inject an offset into the amplitude setpoint; no mechanical or source-side hardware needed. The 1%/10 uA constant is specific to their circuit, not a scaling law.

  87. Cross-check internal-beam probe readings calorimetrically and expect method-dependent discrepancies that grow with current: calorimetry gave 90% of the probe reading at 1-2 mA but only 75% at 6-8 mA; the probe was judged the more reliable.

    calorimetric/probe ratio 0.90 at 1-2 mA, 0.75 at 6-8 mA

    beam-measurement dg-735

    Source, quote & tabletop applicability
    the calorimetric method gave 90% of the probe method, while in the 6- to 8-ma range this ratio dropped to 75%. The probe method was believed to be the more reliable.

    Heusinkveld et al., Studies with a Three-Dee Three-Phase Proton Cyclotron — UCRL-3187 (1955) — p. 14

    Tabletop: At the reference machine's nA scale calorimetry is unavailable, but the doctrine - never trust one beam-current method, and expect tens-of-percent disagreement between independent methods - is exactly the Faraday-cup vs electrometer-background cross-check discipline already used; OCR note - the 75% figure was verified on the page image.

  88. Use a positive probe bias (+450 V here) as a purity test on beam-current readings: at full radius the reading was bias-independent (true fast-ion current), but inside 6 inches the unshielded-probe current rose steeply and was reduced by bias, flagging low-energy/secondary contamination near the center.

    reading valid where dI/dV_bias ~ 0; +450 V test bias

    beam-measurement dg-736

    Source, quote & tabletop applicability
    at this radius was unaffected by 450-v positive bias on the probe. However, inside 6 inches the probe current rose steeply with decreasing radius and was decreased by positive bias voltage.

    Heusinkveld et al., Studies with a Three-Dee Three-Phase Proton Cyclotron — UCRL-3187 (1955) — p. 12

    Tabletop: Directly usable on the reference machine's Faraday cup/probe - sweep a modest positive bias and accept the current only where it is bias-flat; near the source, gas ions and secondaries can dominate an unshielded collector by large factors. Scale the bias to the machine (tens of volts suffices for nA beams).

  89. Beam current should scale linearly with peak dee voltage (and with DC amplifier power) once running, and beam loading is a free diagnostic: turning the source on raised final- amplifier plate currents two- to threefold over the source-off condition.

    I_beam approximately linear in V_dee; plate current 2-3x source-off under full beam load

    beam-measurementrf dg-737

    Source, quote & tabletop applicability
    The beam load would cause a two- to threefold increase in the amplifier plate currents compared to the source-off condition.

    Heusinkveld et al., Studies with a Three-Dee Three-Phase Proton Cyclotron — UCRL-3187 (1955) — p. 14

    Tabletop: The linear beam-vs-dee-voltage check transfers to nA scale and is a good run-log plot for the reference machine; the 2-3x loading signature does NOT - milliampere beams absorb real RF power, whereas a nA beam is invisible in amplifier current, so use it only as an upper-bound sanity argument.

  90. Do not use amplifier efficiency as a proxy for electrode phase: peak final-amplifier efficiency did not correspond to 120-degree phase difference between the dees, so phase must be servoed from dee pickup signals directly, with separate efficiency servos trimming the amplifiers (five loops total on this machine).

    rfbeam-measurement dg-741

    Source, quote & tabletop applicability
    peak efficiency did not correspond to 120 phase difference between the dees

    Heusinkveld et al., Studies with a Three-Dee Three-Phase Proton Cyclotron — UCRL-3187 (1955) — p. 11

    Tabletop: Same programme's RF paper (ucrl-3153 p.7) draws the identical moral - measure the quantity you care about at the electrode, not a correlate at the amplifier. For a next machine - derive tuning/phase feedback from the dee pickup, not from LDMOS drain current or forward power, which optimize at subtly wrong points.

  91. Diagnose whether a deflector is sparking-limited by plotting voltage vs gap on log-log: if the points follow a VE line, sparking phenomena limit; departures indicate an extraneous cause (supply parasitics, vibration, contamination). Insulate each ground electrode and meter intercepted beam current to align the deflector to the trajectory.

    log V vs log d following slope of VE line => spark-limited; insulated ground electrodes as alignment monitors

    extractionbeam-measurement dg-755

    Source, quote & tabletop applicability
    a deflector is limited by sparking phenomena and not from an extraneous cause can be tested simply by a log-log plot of the voltage versus gap to see that it follows a VE line.

    Smith & Grunder, Electrical Design of Electrostatic Deflectors for Sector-Focused Cyclotrons — UCRL-10654 (1963) — p. 27

    Tabletop: Both halves are free instrumentation for a next machine - a three-point V(d) test during commissioning, and an insulated septum/ground-electrode current readout for beam steering (same trick as the reference machine's Faraday-cup practice).

  92. High carrier frequency buys regulation: 100-kc drive gives the regulator loop a 2500-c/s unity- gain frequency and 0.01% deflector-voltage stability, ultimately limited by the precision divider - 120 metal-film resistors (<36 ppm/C) need only ~3 C temperature uniformity (forced-air) to hold 0.01%.

    f_carrier 100 kc -> f_unity 2500 c/s; 0.01% regulation; divider spec 36 ppm/C, dT < 3 C

    extractionbeam-measurement dg-761

    Source, quote & tabletop applicability
    for a stability of 0.01% the temperature difference between resistors must be within about 3 C.

    Smith, Deflector Power Supply for Sector-Focused Cyclotrons — UCRL-10655 (1963) — p. 21

    Tabletop: Deflector voltage stability maps directly to extracted-beam steering stability; the lesson - regulation is limited by the divider, so buy/build the divider first - applies at any scale, and 0.01% is far beyond what a next machine needs (1% steers by ~1% of the deflection).

  93. Rectify the dee-voltage pickup signal with a vacuum tube, not semiconductor diodes, anywhere near the machine: germanium diode calibration drifted under neutron bombardment; a Type 2C40 vacuum-tube rectifier stayed constant, and the calibration holds as long as the probe-to-dee distance is unchanged.

    rfbeam-measurement dg-784

    Source, quote & tabletop applicability
    the vacuum tube rectifiers are unchanged by neutron bombardment and, unless the probe-to-dee distance is changed, the calibration remains constant.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 March 1952 — ORNL-1339 (1952) — p. 10

    Tabletop: Two transferable halves: (1) semiconductor sensors near the chamber are a calibration-drift risk once neutrons appear; (2) a capacitive dee-voltage pickup is calibrated GEOMETRY — mechanically fix the probe-to-dee distance or every calibration is void. Bears directly on retiring the uncalibrated ~800 V nominal dee-voltage number on the reference machine.

  94. Build a self-calibration into beam calorimetry: ORNL inserted an electric boiler (three 9-kW heaters, recording wattmeter) in the target cooling-water line so the operator could calibrate the water delta-T recorder against known electrical power up to 27 kW in a few minutes, any time.

    calibrate water delta-T calorimeter with in-line electric heater of known power

    beam-measurement dg-785

    Source, quote & tabletop applicability
    It is now possible for the operator to obtain in a few minutes a complete calibration of the probe water temperature differential up to a maximum power of 27 kw.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 March 1952 — ORNL-1339 (1952) — p. 9

    Tabletop: The trick scales down perfectly — a nA-to-uA tabletop beam calorimeter (thermistor on an isolated cup) can be calibrated the same way with a surface-mount resistor dissipating known milliwatts. Electrical-substitution calibration converts any thermal sensor into an absolute beam-power meter.

  95. Cross-check calorimetric beam power against electrically calculated power (beam current x accelerating voltage) at every operating point; the 86-inch table shows agreement within 5% across 0.4-1.0 mA and both energies — disagreement beyond that flags an instrumentation or beam-loss problem.

    P_calorimetric vs P = I_beam x V_equiv; expect agreement ~5%

    beam-measurement dg-786

    Source, quote & tabletop applicability
    The measured beam power is determined from the measured temperature rise in the target cooling water. The calculated power and measured power readings agree within 5%.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 March 1952 — ORNL-1339 (1952) — p. 8

    Tabletop: The redundancy principle transfers even at nA — Faraday-cup current times computed energy should match any thermal or activation measurement; a persistent gap means secondary-electron error, wrong assumed energy, or beam missing the cup.

  96. Diagnose an off-center beam from where it strikes: on the 86-inch, beam hitting the periphery of the south dee when the target was lowered revealed the center of rotation was offset ~3 inches south; the fix included moving the dees 1/2 in south. Burn marks and asymmetric losses are orbit-center data.

    beam-dynamicsbeam-measurement dg-788

    Source, quote & tabletop applicability
    the beam striking the periphery of the south dee. This condition resulted from the center of rotation of the beam being offset to the south by a distance of approximately three inches.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 March 1952 — ORNL-1339 (1952) — p. 7

    Tabletop: Fully transferable — witness marks on the reference machine's dee edges and probe shadows are a free orbit-centering diagnostic; an orbit center offset a few percent of pole radius is normal and correctable by moving source or dees.

  97. Measure the z-wise (axial) beam distribution with a multi-segment probe at several radii: a five-segment target probe on the 22-inch showed nearly all proton loss to the dees occurs during early revolutions, with only a small percentage lost beyond half the maximum radius — so central-region focusing, not outer-radius optics, controls transmission.

    beam-measurementbeam-dynamics dg-790

    Source, quote & tabletop applicability
    most of the loss of protons to the dees occurs during early revolutions. Only a small percentage of the beam is lost beyond one-half of maximum radius, Figure 5.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 March 1952 — ORNL-1339 (1952) — p. 16

    Tabletop: Both the finding and the instrument transfer: stack 3-5 insulated foils as a segmented z-probe on the reference machine to see where the beam sits vertically, and spend tuning effort on the first turns — beam surviving to half radius will almost all reach full radius.

  98. Identify beam species with magnetic resonance curves: sweep magnet current at fixed RF and record probe current at full radius; H1+ and H3+ appear as separate peaks (68 gauss apart on the 22-inch). At low arc current the H3+/H1+ ratio is high; raising arc current increases both total H1+ and the H1+/H3+ ratio.

    species peaks at B proportional to m/q for fixed f; H3+ energy = 1/3 H+ energy at same radius

    beam-measuremention-source dg-791

    Source, quote & tabletop applicability
    At low arc current the ratio of H3+ ions to H1+ ions is high. The total number of H1+ ions and the ratio of H1+ ions to H3+ ions may be increased by increasing the arc current.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 March 1952 — ORNL-1339 (1952) — p. 16

    Tabletop: The prior art for a source-species test on the reference machine: a field sweep at fixed frequency is a species analyzer needing only the existing probe, and source arc power is the species-ratio control. Expect molecular ions to dominate at weak arc — run the arc hard for protons. (Fig. 6, PDF p.18, shows the resolved peaks.)

  99. Budget real machine time for beam characterization during a commissioning period: of 50 bombardments on the 86-inch in the post-modification quarter, 10 were beam-profile and 5 were energy-measurement runs — 30% of all machine time spent measuring the beam rather than using it.

    ~1/3 of runs devoted to beam profile + energy measurement after any major change

    beam-measurementcyclotron-general dg-796

    Source, quote & tabletop applicability
    The bombardments are tabulated below: Beam profile 10, Isotope production 8, Experimental 16, Energy 5, Physics 7, Radiation damage 4.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 March 1952 — ORNL-1339 (1952) — p. 8

    Tabletop: A quarterly cadence in miniature for the reference machine — after any change (RF upgrade, source rebuild), the run log should show dedicated profile and energy runs before "physics" runs; ORNL treated characterization as scheduled work, not overhead.

  100. Establish beam energy by at least three independent methods before quoting it: the 86-inch energy (~23 MeV at 30.5 in) was called well established only after foil-stack range measurements, calorimetry, and nuclear production yields agreed over many runs at the same radius.

    E confirmed = foil-stack range + calorimetric P/I + activation yield, mutually consistent

    beam-measurement dg-797

    Source, quote & tabletop applicability
    Energy measurements by foil stack, by calorimetry, and by production yields indicate the average energy of the beam is now approximately 23 Mev at 30.5 inches. This value is well established, since many runs have been made at this radius.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 6

    Tabletop: Directly actionable for the "~150 keV-class computed" number on the reference machine: convert computed to measured with two independent checks — Al foil range/transmission steps and, at higher current after the RF upgrade, cup calorimetry. One method is a claim; three in agreement are a measurement.

  101. Take beam power up in steps with a calorimetric measurement at every level: the 41-kW record (1.85 mA average at 22.5 MeV) was reached by increasing from a steady 0.5 mA progressively, measuring dissipated target power calorimetrically at each step — so the record is a measured curve, not a single meter reading.

    beam-measurement dg-798

    Source, quote & tabletop applicability
    the beam was increased progressively until the metered beam current approached 2 ma. At each level the power dissipated on the target was measured calorimeterically. The maximum beam power measured in this manner was over 41 kw.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 7

    Tabletop: The stepped-ladder protocol transfers to any record attempt on the reference machine — each step cross-checks meter vs thermal response and catches secondary-emission or leakage error before it contaminates the headline number; a record with only one point behind it is fragile.

  102. Track electrical efficiency (beam power / oscillator input) as a commissioning health metric and expect it to improve with beam level: the 86-inch reached 40% net ion-loading efficiency at 1.85 mA, twice that at 0.5 mA, because dee excitation and ion loading are fixed loads; the 1339 quarter quotes 9% of oscillator input on target at 1 mA vs 6% at 0.5 mA.

    eta = P_beam/P_osc; fixed losses (dee excitation + ion loading) dominate at low beam

    rfbeam-measurement dg-799

    Source, quote & tabletop applicability
    the net ion-loading efficiency was 40%, that is, 40% of the power expended in acceleration of ions was to the target. There was a two-fold increase in electrical efficiency as the beam was increased.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 7

    Tabletop: On the reference machine at nA the beam power is invisible next to fixed RF losses — the transferable lesson is the metric, not the number: log P_beam/P_RF per run; on any small machine almost all RF power is overhead, so chase Q and coupling, not amplifier watts, for efficiency.

  103. Use expendable grazing-incidence targets for high-power tuning: aluminum targets struck at grazing incidence spread the power density and withstood full 86-inch beam during the adjustment period, reserving real targets for production.

    grazing incidence spreads P/A by 1/sin(theta_graze)

    beam-measurementmaterials dg-800

    Source, quote & tabletop applicability
    grazing-incidence type aluminum targets were used because of the high beam intensities they withstand.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 6

    Tabletop: Scale-honest — the reference machine's nA beams cannot melt anything, but the geometry trick matters for beam VIEWING (a grazing phosphor or foil intercepts more turns and lights up at lower current) and becomes thermally real on any 5-13 kV / uA-class upgrade path.

  104. Prove first beam with a radiation signature plus a physics argument, not just probe current: 63-inch first beam was a brass target at 21 in radius showing gamma count 8x background; since N+ ions at that radius would have only 2.5 MeV (below reaction thresholds), the activity itself proved the beam was N3+.

    species/energy check = radiation only possible if q/m assumption correct

    beam-measurementdetectors dg-801

    Source, quote & tabletop applicability
    Since the singly-ionized nitrogen ions at this radius have an energy of only 2 1/2 Mev, it may be concluded that the burst of radiation observed was indeed due to triply-charged nitrogen ions.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 9

    Tabletop: The reference machine's best-beam case (5.6x background on the Faraday cup) sits in exactly this evidentiary tradition — and the energy-threshold argument is the template for a source-species test: an observed nuclear signature whose threshold excludes the molecular-ion hypothesis is proof of species without a spectrometer.

  105. Map internal beam current vs radius early and expect orders of magnitude of attenuation on an untuned machine: first-month 63-inch probe currents were 2000, 500, 170, 30 uA at 5, 10, 14, 18.5 in, unreliable beyond that, with ~1 uA estimated at the 25.5-in extraction radius — a factor of ~2000 from first turns to full radius.

    commissioning-era attenuation: ~3 orders of magnitude center-to-edge is normal, not broken

    beam-measurementbeam-dynamics dg-802

    Source, quote & tabletop applicability
    Current measurements beyond 18.5" were unreliable; the current at the maximum radius, 25.5", is estimated to be of the order of one microampere.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 10

    Tabletop: Calibrates expectations for the reference machine's and a next machine's first runs — nA at full radius from uA-class first-turn current is what a real machine did at first beam; log the whole I(r) curve, because its shape (where the loss happens) is the tuning roadmap.

  106. Confirm beam energy and species by activation half-lives when direct measurement is unavailable: 63-inch targets (graphite, CuO, TaN) were bombarded and the induced activities (112-min F-18, 15-hr Na-24, 10-min N-13...) identified by decay curves — reaction thresholds then bound the beam energy.

    beam-measurementdetectors dg-803

    Source, quote & tabletop applicability
    A carbon (graphite) target gave rise to 112-minute and 15-hour activities which are assigned to F 18 and Na 24 respectively.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 10

    Tabletop: Below nuclear thresholds the 150-keV reference machine cannot use this — but it becomes the cheapest absolute energy check the moment any upgrade crosses a low-threshold reaction, needing only a GM counter and a stopwatch; the practice (identify by half-life, bound energy by threshold) is scale-free.

  107. Bench-test an ion source on a 180-degree beam path in the magnet before installing it in the machine: the 63-inch hot-cathode source was qualified dc by collecting after a half-turn — measuring the species mix (8 mA N+, 2 mA N++, 2 mA N+++), scanning the beam (peak 6x background), and estimating filament life (>10 hr) with no cyclotron time spent.

    ion-sourcebeam-measurement dg-807

    Source, quote & tabletop applicability
    In dc tests the output of the source, measured after the beam had passed through a 180 deg path in the magnetic field, was: 8 ma of N+, 2 ma of N++, and 2 ma of N+++.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 24

    Tabletop: The 180-degree bend uses the cyclotron's own field as a mass spectrometer with the RF off — on the reference machine this is precisely the source-species test geometry: source + static field + offset collector measures the H+/H2+/H3+ mix directly before any acceleration studies.

  108. When a source underperforms, look at where the drain current goes: the 22-inch dc injection source gave only 30 mA (vs 75 mA from the predecessor) and the diagnosis was that even in dc tests there was always high drain to the accelerating electrode — the same drain seen in rf tests, identifying interception, not production, as the deficit.

    account for source output as beam + electrode drain; drain locates the loss

    ion-sourcebeam-measurement dg-808

    Source, quote & tabletop applicability
    It was never possible to make a dc test without high drain to the accelerating electrode. This is a definite clue to the lower output obtained in the rf tests.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 24

    Tabletop: Current bookkeeping is free diagnosis — on the reference machine, meter the puller and chimney drains separately from the Faraday cup; a weak beam with a hot puller is a geometry problem at the source exit, and no arc-power increase will fix it.

  109. Isolate radiation effects with matched control experiments: ORNL paired every bombarded corrosion specimen with a control given the identical thermal history, and when a thermal gradient was suspected as the real cause, built a control with the same 815 C-to-40 C gradient (specimen on a water-cooled tube in the furnace) — only then attributing the effect to protons.

    materialsbeam-measurement dg-809

    Source, quote & tabletop applicability
    no evidence of the mass transfer type of corrosion due solely to a thermal gradient is found. The enhanced corrosion observed in Figure 2a seems to be quite definitely associated with the proton irradiation.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 June 1952 — ORNL-1345 (1952) — p. 19

    Tabletop: The control-experiment discipline transfers whole to any reference-machine or bench-scale target or activation claim — for every "the beam did X", run the identical setup minus beam; the 1339 quarter also flags their power-measurement accuracy as only +/-30%, a humbling uncertainty note worth copying into lab-book practice.

  110. Measure field shape as a RATIO to the center-of-gap field using paired flip coils and a null-balanced long-period galvanometer, not as absolute point values; ratios are far less sensitive to excitation-current drift, so current regulation requirements collapse.

    null condition (Eq. 147) gives flux ratio from resistance ratios; flip-coil pair on a shaft rotating 180 deg avoids commutators

    magnetbeam-measurement dg-836

    Source, quote & tabletop applicability
    In most cases, the ratio is not so sensitive to the current used to excite the magnet as the corresponding absolute value and the required accuracy of current control is reduced.

    Foss et al., Cyclotron Component Design Technical Reports — TID-454 (1952) — p. 38-40

    Tabletop: The principle survives the instruments - when Hall-mapping a next machine's shims, log B(r)/B(0) with an always-live reference probe at center rather than absolute B(r), and supply drift drops out of the shim iteration.

  111. To learn what a machine activates, hang cheap witness foils of candidate materials (Al, Cu, Fe, stainless) at mapped positions before a run, then identify each induced activity by its gamma-ray energy AND its half-life from repeated NaI counts.

    safetybeam-measurementdetectors dg-866

    Source, quote & tabletop applicability
    foils of aluminum, copper, iron, and stainless steel were affixed at various positions on the walls of the cyclotron vault and on the cyclotron vacuum tank.

    Boom, Toth & Zucker, Residual Radiation of the LRL 184-inch Cyclotron — ORNL-3158 (1961) — p. 15

    Tabletop: The one activation rule that DOES apply at any energy, because it is a measurement, not a prediction: a witness-foil pack plus the next machine's NaI/PIPS counters is a near-zero-cost null check that sub-MeV operation activates nothing — useful evidence for licensing conversations and for catching surprises if beam or species ever changes.

  112. Wrap one of a matched foil pair in cadmium to split induced activity into a slow-neutron capture part and a fast-particle part; at the 184-inch the Cd-wrapped (fast-only) copper foil showed ~1/1.6 of the bare foil's Cu64.

    Cu64(Cd-wrapped)/Cu64(bare) ~ 1/1.6, i.e. ~40% of activation was thermal-neutron capture

    safetybeam-measurement dg-867

    Source, quote & tabletop applicability
    the ratio of Cu64 activity in the cadmium-wrapped sample (due only to fast particles) to that in the uncovered foil was ~1/1.6.

    Boom, Toth & Zucker, Residual Radiation of the LRL 184-inch Cyclotron — ORNL-3158 (1961) — p. 15

    Tabletop: ENERGY SCOPE: relevant only when neutrons exist to be moderated. Standard Cd-difference technique to keep in the toolkit for any future neutron-producing experiment; meaningless for pure sub-MeV proton running.

  113. Localize an activation (or any radiation) source with a collimated NaI detector — crystal in a lead pig with a plugged hole for background — and compare aimed vs background spectra; at the 184-inch this proved the gap structures, not the magnet yoke, were the source.

    safetydetectorsbeam-measurement dg-869

    Source, quote & tabletop applicability
    the important source of radiation in the cyclotron comes from the gap and the structures in it, rather than from neutron-induced activities in the magnet yoke.

    Boom, Toth & Zucker, Residual Radiation of the LRL 184-inch Cyclotron — ORNL-3158 (1961) — p. 12

    Tabletop: Energy-independent technique. A 2-in lead collimator with a removable plug around a next machine's NaI turns it into a pointing instrument for finding X-ray leaks (RF multipactor, dee-liner discharge bremsstrahlung) on a running machine — the same aim/plug/subtract discipline at keV instead of MeV.

  114. Put a permanent wide-range dose-rate meter as close to the target station as it can live, read out on a chart at the console, and let the measured decay curve — not habit or guesswork — set the cooling time before anyone approaches.

    safetybeam-measurement dg-870

    Source, quote & tabletop applicability
    use of a reliable radiation meter in the cyclotron near the targets ... takes much of the guesswork out of the question "How long should the target cool?"

    McWalters et al., Radiation Exposures of Personnel at the 60-inch Cyclotron — UCRL-8276 (1958) — p. 16

    Tabletop: ENERGY SCOPE: Crocker's 10-24 MeV/nucleon beams at tens of uA made 100-500 r/hr targets; the sub-MeV reference machine makes none. But the instrument discipline transfers exactly: a logged GM/ion-chamber channel at the machine (the builder already logs Keithley current) gives prompt X-ray dose during RF conditioning and a defensible record for licensing.

  115. Never quote an internal-target beam energy from the B-rho calculation alone: the one lab that checked (ORNL 86-inch) measured deviations up to +/-10% from the H-rho value, and the energy of maximum intensity moved several hundred keV under MINOR changes of ion-source position, dee voltage, magnetic-field tuning, and oscillator frequency.

    observed: E(measured) - E(B-rho) up to +/-10%; dE(max intensity) ~ several hundred keV vs everyday tuning parameters

    beam-measurementbeam-dynamicscyclotron-general dg-881

    Source, quote & tabletop applicability
    Measurements of the internal beam of the ORNL 86-inch cyclotron very early indicated that the energy of the proton beam might vary as much as +/-10% from H-rho calculations.

    Cohen, Measurement of Beam Energy and Energy Distribution on an Internal Cyclotron Target — ORNL-1347 (1952) — p. 5

    Tabletop: Verified on the page image, and the direct historical support for this collection's energy-convention discipline: the reference machine's "150 keV-class computed" is a convention, not a measurement. For a next machine's B11(p,alpha) work, where yield vs energy is steep, measure energy AT the target (absorber stack in front of the PIPS, or foil methods) every time tuning changes.

  116. Measure internal-beam energy with photographic film behind a stepped absorber folded from aluminum foil: expose ~0.1 uA-sec (arc OFF, source-off current control, field deliberately detuned to throttle intensity), leave an uncovered film strip as an intensity reference, and read densitometer values against a range-energy scale.

    exposure ~0.1 uA-sec (Weston Speed 5 film); absorber = folded Al foil steps; monitor = neutron counter near target

    beam-measurementtargets dg-882

    Source, quote & tabletop applicability
    A photographic film is covered with a stepped absorber (made by folding an aluminum foil), wrapped in aluminum foil, and exposed directly in the cyclotron beam.

    Cohen, Measurement of Beam Energy and Energy Distribution on an Internal Cyclotron Target — ORNL-1347 (1952) — p. 6

    Tabletop: At 150-170 keV protons the ranges are ~2-3 um Al, so foil steps become thin-film steps or the film is swapped for the next machine's PIPS behind a stepped degrader — but the architecture (stepped absorber + position-resolved detector + uncovered reference channel) and the arc-off/detune trick for nA-friendly intensity carry over directly. The film variant also maps radial beam width vs energy for free (p.9).

  117. Know the accuracy floor of any absorber-based energy measurement: range-energy data and straggling limit the most-probable-energy determination to a few hundred keV, the high-energy edge of the distribution is nearly as good, but the LOW-energy side of the spectrum is largely unrecoverable.

    beam-measurementphysics-theory dg-883

    Source, quote & tabletop applicability
    These factors limit the accuracy of determination of the most probable energy to a few hundred kilovolts. The high energy portion of the energy distribution can be determined with almost equivalent accuracy

    Cohen, Measurement of Beam Energy and Energy Distribution on an Internal Cyclotron Target — ORNL-1347 (1952) — p. 5

    Tabletop: Scale the absolute numbers down with energy, but keep the shape of the claim — quote the high-energy edge with confidence, treat the low-energy tail as semi-quantitative. Same asymmetry applies to a PIPS-plus-degrader spectrum on a next machine, and to interpreting any resonance-yield curve taken with a spread beam.

  118. Turn a known activation excitation function into a beam spectrometer: bombard a stack of thin foils (Cu, ~6 mg/cm2) whose reaction — Cu63(p,n)Zn63, 38-min — is well measured, count each foil, and unfold activity-vs-depth into the energy spectrum; because the cross section drops steeply, the linear system is near-triangular and solves foil-by-foil in ~30 minutes.

    A(r) ~ integral over R of sigma(R-r)*I(R) dR, discretized as block/line spectrum -> near-triangular linear system; choose Rn spacing to avoid oscillating/negative weights

    beam-measurementdetectors dg-884

    Source, quote & tabletop applicability
    the energy distribution of protons in the cyclotron beam is readily determined by measuring this excitation function and comparing it with the published data.

    Cohen, Measurement of Beam Energy and Energy Distribution on an Internal Cyclotron Target — ORNL-1347 (1952) — p. 9

    Tabletop: ENERGY SCOPE: Cu63(p,n) threshold is ~4.2 MeV — closed on the reference machine and a next machine, so this exact reaction cannot be used below ~4 MeV. The transferable idea is using a steep, well-known excitation function as an energy discriminator: at a next machine's energies the B11(p,alpha) yield curve itself (or Al/Ni step degraders before the PIPS) plays that role, and the same triangular-unfolding trick applies to any stacked measurement.

  119. Distrust beam diagnostics taken with the machine deliberately detuned to reach diagnostic-friendly intensity — the operating conditions differ enough from normal running that the measured energy distribution may not be the operating one; state the caveat with the result.

    beam-measurementcyclotron-general dg-885

    Source, quote & tabletop applicability
    the cyclotron operating conditions are so different from those used in normal operation that it may well be that the energy distribution is not the same.

    Cohen, Measurement of Beam Energy and Energy Distribution on an Internal Cyclotron Target — ORNL-1347 (1952) — p. 9

    Tabletop: Directly relevant methodological honesty for a next machine, where detector protection will likewise force attenuated or detuned beams for some measurements. Log the machine state (dee voltage, field, frequency, source position) alongside every energy measurement so diagnostic-mode and run-mode data are never silently mixed.

  120. Map the beam on an internal target by sectioning the target itself: an array of thin strips (17 carbon foils, 1/32 x 5.5 in), pre-scored, bombarded once (15 min at 15 uA), then snapped into 1/2-in pieces and counted individually — yielding full 2-D isointensity contours of the beam spot from a single bombardment.

    activity map via C12(p,pn)C11 (20-min) + long-lived impurities, cross-checked; resolution = section size (0.5 in) x strip pitch

    beam-measurementtargets dg-886

    Source, quote & tabletop applicability
    each carbon foil was broken into 1/2-inch sections, along previously made scorings, and counted in a Geiger counter.

    Cohen, Spatial Distribution of Current on an Internal Cyclotron Target — ORNL-1348 (1952) — p. 5

    Tabletop: ENERGY SCOPE: C12(p,pn) needs ~20 MeV — the counting scheme is closed below threshold. Keep the geometry, swap the readout: a probe-tip mosaic of insulated segments read as Faraday collectors (or a scorched-film/thermal-paper witness at nA-uA-sec fluence) gives the reference machine and a next machine the same one-shot 2-D map of where the internal beam actually lands — directly useful for placing the B11 target and sizing its hot spot.

  121. The turn-to-turn radial step at the target edge is a direct RF-phase meter: from dE/E = 2 dr/r and dE = 4 V0 cos(theta) per turn (two dees), a measured dr at known radius, energy, and dee voltage yields the ion phase — ORNL 86-inch values ran 50-72 deg for 240-335 kV dee-to-dee.

    dr/r = 2*dE/E; dE = 4*V0*cos(theta) => theta = acos(E*dr/(2*r*4*V0)); measured (dr", Vd-d kV, theta_min) = A(0.29, 315, 60), B(0.19, 315, 72), C(0.22, 240, 60), D(0.40, 335, 50)

    beam-measurementbeam-dynamicsrf dg-887

    Source, quote & tabletop applicability
    From (5) the measurement of dr is essentially a determination of the phase.

    Cohen, Spatial Distribution of Current on an Internal Cyclotron Target — ORNL-1348 (1952) — p. 9

    Tabletop: Table verified on page image. Energy-independent physics: on the reference machine or a next machine a differential probe (shadowed double tip) or the sectioned-target map gives dr, and with the known dee voltage that is a measurement of ion RF phase — the quantity a next machine's 5-G field tolerance is protecting. A rare direct experimental handle on phase for machines with no beam-position monitors.

  122. Measure the minimum (threshold) accelerating voltage that still produces beam, and read its radius-dependence as a diagnostic: a threshold nearly independent of radius points to central-region limits rather than distributed field errors.

    beam-measurement dg-905

    Source, quote & tabletop applicability
    The threshold is practically independent of radius ... the threshold seems to be limited by conditions at the center, phase-slip or otherwise, rather than by field errors throughout the machine.

    Oak Ridge National Laboratory, A Proposal for the Mc² Isochronous Cyclotron — ORNL-3540 (1963) — p. 285

    Tabletop: Directly usable on the reference machine now: a dee-voltage threshold scan vs radius separates center-region problems from field-error problems with no new hardware.

  123. Before believing an internal-probe beam-attenuation curve, rule out probe-edge scattering: compare probes of different materials and keep particle range in the probe small compared with the radial beam width.

    artifact severe when (range in probe)/(radial beam width) >~ 1

    beam-measurement dg-909

    Source, quote & tabletop applicability
    this drop is primarily a result of electron scattering from the probe tip. It is now believed that the actual beam loss, if any, is very small.

    Oak Ridge National Laboratory, A Proposal for the Mc² Isochronous Cyclotron — ORNL-3540 (1963) — p. 278

    Tabletop: Direct transfer to the reference machine's probe/Faraday-cup work: an apparent current fall-off with radius can be instrumentation, not physics — swap probe material (their Al vs Ta test) before redesigning the machine.

  124. Resolve individual turns with a thin radial wire probe: a 0.020-in. tantalum wire scanned from 1.2 to 11.5 in. showed distinct current maxima for orbits 1 through 12, spaced 5/8 in. for inner orbits at high dee voltage — turn spacing measures real energy gain per turn, and the resolvable-orbit count is set by dee potential (22-inch test cyclotron).

    turn spacing dr per turn ~ r*(dE/E)/2; resolved orbit limit set by dee voltage

    beam-measurementbeam-dynamics dg-926

    Source, quote & tabletop applicability
    The data show individual orbital positions from the first orbit up to the twelfth, the upper limit being determined by the potential on the dees.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 December 1951 — ORNL-1269 (1952) — p. 40

    Tabletop: Directly runnable on the reference machine with the existing probe hardware - measured turn spacing would convert the "~800 V nominal, uncalibrated" dee voltage into a calibrated energy-gain-per-turn number. Fig. 12 (PDF p. 41) shows the machine doing this at 9.2-12 kV dee-to-dee with 600 V dee bias.

  125. Expect a spurious slow rise in wire-probe current with radius: proton bombardment heats the wire and thermionic electron emission adds to the collected current, growing with beam energy — separate this baseline from real beam structure before interpreting a radial scan (22-inch test cyclotron).

    beam-measurementdetectors dg-927

    Source, quote & tabletop applicability
    There is a slight increase in probe current with increasing radius because of increased thermal emission of electrons from the probe as it was bombarded by protons of higher energy.

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 31 December 1951 — ORNL-1269 (1952) — p. 40

    Tabletop: Same artifact family as the reference machine's secondary-emission and background offsets on the Faraday cup; at nA scale a hot-wire thermionic term can dwarf the signal, so bias or shield the probe and log the baseline drift.

  126. Judge injector/source changes by transmitted beam at FULL radius, not by current near the source: near-probe current 1.5 in. out rose linearly to 8.5 kV injection while full-radius (10.5 in.) beam peaked at 1-3 kV — the divergence means the extra near-source current is badly focused and lost (22-inch cyclotron).

    optimum V_inject (by full-radius beam) was 1-3 kV, arc-intensity dependent

    beam-measuremention-source dg-932

    Source, quote & tabletop applicability
    Since the current measured at 1.5" continues to increase with accelerating potential while the beam measured at 10.5" is optimized at 3 kv or less, changes in ion focus are indicated

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 September 1952 — ORNL-1383 (1953) — p. 22

    Tabletop: The reference machine's central tuning trap - a source tweak that fattens the inner-radius signal can starve the Faraday cup at full radius. Always score source changes at the outermost probe position.

  127. Survey median plane and magnetic center with a floating current-carrying wire loop: a single #32 enameled loop at ~5 A dc, hung nearly friction-free, sits in unstable equilibrium at the median plane and self-centers on the magnetic center; loops of several diameters map the whole field (22-inch cyclotron).

    magnetbeam-measurement dg-933

    Source, quote & tabletop applicability
    the position of unstable equilibrium at the median plane can be found The current-carrying loop also tends to center itself with respect to the magnetic center of the field

    Howard (ed.), Electromagnetic Research Division Quarterly, period ending 30 September 1952 — ORNL-1383 (1953) — p. 22

    Tabletop: A zero-cost magnet diagnostic for the reference machine or a next machine - enameled wire and a bench supply locate both the magnetic median plane (which need not be the geometric midplane) and the field center before any Hall-probe mapping campaign.

  128. A variable-energy cyclotron is a credible Van de Graaff alternative in the 5-10 MeV band: ORNL's study concluded feasibility with energy definition better than +/-10 keV (via collimation plus magnetic analysis of the deflected beam) and 1-10 uA deflected current, at ~$1M 1953 cost — energy spread is fixed downstream, not in the machine.

    energy definition < +/-10 keV via deflected-beam collimation + magnetic analysis

    cyclotron-generalbeam-measurement dg-940

    Source, quote & tabletop applicability
    such a cyclotron is feasible, that an energy definition of less than +/-10 kev could be achieved, and that deflected beams would be in the range of 1 to 10 ua

    Howard (ed.), Electromagnetic Research Division Semiannual, period ending 20 March 1953 — ORNL-1531 (1953) — p. 19

    Tabletop: Direct prior art for the plan's educational variable-energy accelerator concept - vary energy with field/frequency plus a movable target (cf. the 44-inch spacer), and buy energy DEFINITION with a simple analyzed beamline rather than machine perfection.

  129. Commissioning lessons from the as-built line: individual quad alignment is critical (install a balance control to redistribute current between lenses); expect ~60-70% of the beam entering the condenser aperture through a 1 x 4 mm slit; test the analyzer before beam with the floating current-carrying-wire technique - it caught a 15% image-distance discrepancy from a small effective-wedge-angle change.

    beam-measurementbeam-dynamics dg-977

    Source, quote & tabletop applicability
    The operation of the wedge analyzer has been checked using the standard current carrying wire technique.

    Bromley & Bruner, The Design of a Focusing and Analyzing System for the 27-inch Cyclotron Beam — NYO-3823 (1954) — p. 52

    Tabletop: DIRECT trio of transfers: (1) budget alignment/tuning provisions into any multi-element line; (2) the floating-wire method (wire under tension carrying current I follows the trajectory of a particle with B-rho = T/I) is a superb zero-beam teaching-lab measurement of magnet optics; (3) their bottom line - 0.1 uA on target at ~0.2% energy spread (p.53) - is the achieved-performance benchmark for a first-generation small-machine analyzed beam.

  130. A Buechner-Bainbridge 90-degree broad-range spectrograph (uniform field, source and focus each one characteristic radius R outside the field boundary) focuses 0.6-1.3 E0 in one exposure at dE/E < 0.2%; theory allows 0.34-2.9 E0 (lower limit focused at the field boundary, upper at infinity) but chamber size caps the top and single-focusing solid-angle loss punishes E > E0.

    focal range practical 0.6 E0 <= E <= 1.3 E0 (theoretical 0.34-2.9 E0); hyperbolic focal surface; R = 50 cm here, 14 kG focuses 33 MeV p / 16.5 MeV d

    beam-measurementmagnetdetectors dg-978

    Source, quote & tabletop applicability
    an extension of the energy range much beyond 1.3 E0 requires an unreasonably large vacuum chamber at the exit of the magnet.

    Alford, Bilaniuk & Hawrylak, Broad Range Spectrograph for Use with the Rochester 27-inch Cyclotron — NYO-9683 (1961) — p. 7

    Tabletop: SCALE-HONEST: geometry is energy-independent (it fixes E/E0 ratios, not E), so a palm-sized R ~ 5-10 cm version at a few hundred gauss would broad-range-analyze a next machine's ~170 keV protons identically - a compelling teaching-lab focal-plane instrument. The 5-ton, 14-kG original is MeV-class; copy the optics, not the iron.

  131. Reproducible field error is harmless error: uniformity maps at 6.8 and 14 kG showed few-tenths-percent nonuniformities - larger than spec - but identical in location and magnitude at both excitations, so they calibrate out for a relative instrument. Complementary flag: the NMR probe signal degrades above 14 kG, a free saturation-inhomogeneity alarm.

    magnetbeam-measurement dg-980

    Source, quote & tabletop applicability
    the location and magnitude of these non-uniformities were the same at both 6.8 and 14 kilogauss, and it was not expected that these variations would have any significant effect

    Alford, Bilaniuk & Hawrylak, Broad Range Spectrograph for Use with the Rochester 27-inch Cyclotron — NYO-9683 (1961) — p. 11

    Tabletop: DIRECT pairing of two ideas the reference machine already half-uses - (1) an error that scales rigidly with excitation is absorbed by end-to-end calibration; (2) loss of NMR (or Hall-linearity) signal quality is itself a diagnostic of entering saturation. Worth writing into the next machine's field-mapping procedure.

  132. Provide a sight-line port directly opposite the entrance slit for optical alignment of an analyzing magnet, and a dedicated port for the field-measuring (NMR) probe - four ports total: beam in, beam out, alignment, field probe.

    beam-measurementvacuum dg-982

    Source, quote & tabletop applicability
    One of the other ports is located opposite the entrance slit to facilitate alignment of the magnet and the fourth one houses the nuclear magnetic resonance probe.

    Alford, Bilaniuk & Hawrylak, Broad Range Spectrograph for Use with the Rochester 27-inch Cyclotron — NYO-9683 (1961) — p. 9

    Tabletop: DIRECT and free at design time - a straight-through optical path (laser today) plus a permanent probe port turn alignment and field checks from teardown jobs into ten-minute jobs. A next machine's chamber/beamline port lists should include both.

  133. Calibrate a magnetic spectrograph end-to-end with a monoenergetic alpha source stepped through field settings: a 1 mm Po source at the object position exposed for equal times at each field gives (a) the radius-vs-focal-position map, (b) the relative solid angle vs focal position for free from peak areas, and (c) a linewidth check against source width.

    beam-measurementdetectors dg-984

    Source, quote & tabletop applicability
    Since all exposures were for equal times, the measured intensity of each group provided a measurement of relative solid angle as a function of focal position.

    Alford, Bilaniuk & Hawrylak, Broad Range Spectrograph for Use with the Rochester 27-inch Cyclotron — NYO-9683 (1961) — p. 12

    Tabletop: DIRECT teaching-lab gold - one sealed alpha source and one afternoon calibrate the whole instrument, no beam required, and the equal-exposure trick measures the acceptance function that theory only estimates. Their peak-position convention (intercept of the straight high-energy edge with the baseline) is also the right lineshape-robust choice.

  134. Precompute the operating aids: nu*rho-vs-energy curves per probe nucleus, a nomogram connecting particle energy, NMR frequency, and focal-plane position by a straight line, and bulk kinematics tables for the reactions you expect - so setup and particle-group identification happen at the console, not the desk.

    beam-measurementproject-management dg-985

    Source, quote & tabletop applicability
    the information of Figs. 5 and 6 can be combined into a nomograph ... corresponding values of proton energy, lithium resonance frequency and image position on the focal surface

    Alford, Bilaniuk & Hawrylak, Broad Range Spectrograph for Use with the Rochester 27-inch Cyclotron — NYO-9683 (1961) — p. 13

    Tabletop: DIRECT for the teaching program - the 2026 equivalent is a small lookup app, but the doctrine stands; run-time decisions need precomputed inverse tables. (Their compute budget was an IBM 650; the curriculum can have students build the nomogram itself as an exercise.)

  135. Mounting a spectrograph with its dispersion plane horizontal costs kinematic broadening of peaks (from the in-plane angular acceptance) when scattering off light nuclei, but can buy large-angle reach - here rotation to 165 degrees, needed for back-angle cross sections and DWBA tests. Know which trade you are making.

    beam-measurementphysics-theory dg-987

    Source, quote & tabletop applicability
    In scattering from light nuclei, this introduces appreciable kinematic broadening of peaks as the entrance aperture is opened.

    Alford, Bilaniuk & Hawrylak, Broad Range Spectrograph for Use with the Rochester 27-inch Cyclotron — NYO-9683 (1961) — p. 8

    Tabletop: SCALE-HONEST - kinematic broadening scales with (m_projectile/m_target) and aperture, not beam energy, so the trade is identical for a next machine's Rutherford-scattering station. The fix they note (close the entrance aperture when it matters) is the standard resolution-vs-count-rate knob students should learn to turn.

  136. A cyclotron needs no beam sweeper for time-of-flight work: the beam is already naturally bunched into RF-phase packets (bunching established within the first few turns), so nanosecond timing structure comes free - unlike a Van de Graaff, which must be artificially swept or bunched.

    beam-dynamicsbeam-measurement dg-988

    Source, quote & tabletop applicability
    the problem of obtaining a pulsed beam usually does not arise, because the beam of a conventional cyclotron is already naturally bunched.

    Fulbright et al., A Fast Neutron Time of Flight System for Use with Cyclotrons — NYO-9360 (1962) — p. 6

    Tabletop: DIRECT and foundational for the experiment catalog - every cyclotron, including the reference machine at 9 MHz, delivers ~10-40 degree phase bunches at the RF period. The bunch structure is a measurable, teachable property (phase width vs turn number) and the enabling fact for every timing experiment on the machine.

  137. Derive the timing reference from the cyclotron oscillator itself, not from a beam-intercepting pickup: RF-derived reference pulses are insensitive to beam-current changes and are all smooth and identical in shape; the residual phase shift between beam bunches and oscillator when the magnet tuning changes is small enough in practice to ignore.

    rfbeam-measurement dg-989

    Source, quote & tabletop applicability
    the pulses are obtained in a way which makes them insensitive to beam current changes, and b) all reference pulses are smooth and identical in shape.

    Fulbright et al., A Fast Neutron Time of Flight System for Use with Cyclotrons — NYO-9360 (1962) — p. 6

    Tabletop: The most directly transferable finding here: the machine's RF is a free timing fiducial at ANY scale. Reference-machine and next-machine experiments (beam-phase measurement, gated counting, TOF over cm-scale paths for keV protons) can clock everything off a capacitive sniff of the dee line; beam-derived triggers die exactly when you need them (low current).

  138. Split slow pulse-height discrimination from the fast timing chain, and make the threshold resettable against a standard source: a slow side-channel discriminator gates the analyzer (rejecting low-energy-neutron and gamma background), and its dial is reset after any shutdown to the Cs-137 gamma peak so efficiency calibrations reproduce even if PMT gain drifted.

    detectorsbeam-measurement dg-992

    Source, quote & tabletop applicability
    The problem was to set the continuously variable slow discriminator dial so that the level of discrimination would correspond to a certain standard light signal from the scintillator.

    Fulbright et al., A Fast Neutron Time of Flight System for Use with Cyclotrons — NYO-9360 (1962) — p. 13

    Tabletop: DIRECT twice over: (1) never let the background-rejection threshold live inside the timing path (they tried; timing and efficiency fought); (2) a $50 Cs-137 check source turns "what is the threshold today?" into a 5-minute standardization - the calibration habit every counting experiment on a next machine should inherit.

  139. Time-resolution budget honesty: achieved 2 ns FWHM in the favorable case, 2-3.5 ns typically, at ~1 ns/channel - and the 1" detector thickness alone contributes ~0.8 ns (5 MeV neutron transit time), traded knowingly for counting efficiency. Wrong stop-pulse shape or low PMT voltage easily makes it worse.

    FWHM ~2 ns best, 2-3.5 ns typical; detector transit ~0.8 ns per inch for 5 MeV neutrons (v ~ 3.1 cm/ns)

    detectorsbeam-measurement dg-993

    Source, quote & tabletop applicability
    The full width of the lines at half maximum is about 2 ns in this favorable case. Generally the widths have ranged from approximately this to about 3.5 ns

    Fulbright et al., A Fast Neutron Time of Flight System for Use with Cyclotrons — NYO-9360 (1962) — p. 11

    Tabletop: DIRECT budgeting template - list every term (source bunch width, detector transit, electronics jitter, reference-edge slope) and know which one you bought deliberately. A next machine's TOF or coincidence lab should have students build exactly this budget before blaming the electronics.

  140. Anchor absolute counting efficiency to a well-known reaction and cross-check by an independent method: calibrate with D(d,n) (cross sections known to 4%), then verify via induced-activity counting - C-12(d,n)N-13 yield integrated over angle, N-13 positron annihilation flux compared against an NBS-calibrated Na-22 source - agreement within 10%.

    detectorsbeam-measurement dg-995

    Source, quote & tabletop applicability
    Calibration curves were obtained by use of the D(d,n) reaction, the cross sections for which are known to 4% accuracy.

    Fulbright et al., A Fast Neutron Time of Flight System for Use with Cyclotrons — NYO-9360 (1962) — p. 12

    Tabletop: DIRECT metrology doctrine - one calibration path is an assumption, two are a measurement. For a next machine's experiment gates (e.g., p-B or (d,n) yield claims), require a primary calibration plus an activation- or source-based cross-check, and quote the disagreement as the systematic.

  141. Commission in activation-safe stages: first debug source and central region with the beam stopped at small radius in low-Z (graphite) targets below neutron-production conditions, then survey full-radius behavior at drastically reduced duty cycle before any full-intensity running.

    stage 1: beam dumped at r < 10 in. on graphite; stage 2: full radius at ~1 source pulse/sec

    safetybeam-measuremention-source dg-1100

    Source, quote & tabletop applicability
    stopping the beam at r < 10 in. radius in graphite targets. This avoids neutron production and induced cyclotron radioactivity

    Rainwater et al., The Columbia University Nevis Synchrocyclotron Major Modification — NEVIS-189 / R-774 / CU-295 (1971) — p. 5

    Tabletop: The staging discipline transfers to every machine even where activation does not — low-duty, small-radius-first commissioning is also how you protect septa, collectors, and instruments; at a few hundred keV and above the activation logic itself starts to matter.

  142. When a calculation needs an empirical constant (here the effective image factor of saturated pole iron), measure it directly with a precisely known conductor configuration in the real field environment rather than taking a handbook value.

    septum fields = conductors + 5 image sets scaled by (mu-1)/(mu+1); measured fit gave mu = 5 to <1%

    magnetmodelingbeam-measurement dg-1103

    Source, quote & tabletop applicability
    The value of mu used was found experimentally by measuring the field from a precisely known configuration of conductors

    Rainwater et al., The Columbia University Nevis Synchrocyclotron Major Modification — NEVIS-189 / R-774 / CU-295 (1971) — p. 13

    Tabletop: A model-calibration pattern the FEMM-based pipeline should copy — one deliberate known-geometry measurement (a wire loop, a known coil) in the actual gap pins the permeability/saturation assumptions the whole field model rests on.

  143. Measure shield attenuation with the machine itself as the source: place a slab of the candidate material (3 ft x 3 ft x thickness) in front of a detector recessed in a cavity in a thick concrete "igloo", and normalize every detector reading to a fixed beam monitor so source fluctuations divide out of the attenuation curve.

    attenuation = (detector/monitor) vs slab thickness; slab 3'x3', detector in 1.5-inch cubical cavity

    shieldingbeam-measurement dg-1115

    Source, quote & tabletop applicability
    A - Slab under test. Dimensions 3' x 3' x thickness. C - Concrete "Igloo". D - Detector, in cubical cavity 1-1/2" edge. M - Beam moniter [sic]

    Moyer, Hildebrand, Knable, Parmley & York, Character of the Radiation Field and Shielding at the 184-Inch Cyclotron — AECD-2149, UC Radiation Laboratory (1947) — p. 3

    Tabletop: A shielding survey needs no separate neutron source — run the machine at a reference beam current and take detector-to-monitor ratios; the monitor normalization is what makes readings taken hours apart comparable.

  144. Publish shield performance as a normalized dose map tied to beam current: Moyer quotes 24 r/hr at 1 ft outside the tank wall falling to 10 mr/hr outside 5.5 ft of concrete and 0.5-1.5 mr/hr in the building at large, all explicitly at 0.2 uA of deuterons — so any later reader can rescale.

    report dose rate AND beam current together; dose scales linearly with current at fixed geometry

    shieldingsafetybeam-measurement dg-1124

    Source, quote & tabletop applicability
    These quoted measurements are made with Al-walled ionization chambers, and correspond to a deuteron beam of about 0.2 x 10-6 amp.

    Moyer, Hildebrand, Knable, Parmley & York, Character of the Radiation Field and Shielding at the 184-Inch Cyclotron — AECD-2149, UC Radiation Laboratory (1947) — p. 2

    Tabletop: A survey number without the simultaneous beam current is unusable later; log dose rate, location, instrument, and Faraday-cup current as one record so the map rescales when beam current grows.

  145. Measure dee-voltage modulation as a number and drive it down at the source: NRL defined it as peak-to-peak ripple as a percentage of peak RF, found the master oscillator itself contributed frequency-dependent amplitude and spurious components, and replacing it with a frequency synthesizer cut modulation from 1.5% to 0.5%.

    modulation metric = (p-p ripple on RF envelope)/(peak RF) x 100%; NRL 1.5% -> 0.5% by replacing oscillator with synthesizer

    rfbeam-measurement dg-1147

    Source, quote & tabletop applicability
    The modulation on the dee voltage, defined as the peak-to-peak ripple riding on the RF voltage as a percentage of the peak RF value, has recently been reduced to about 0.5% from 1.5%.

    Cyclotron Staff, Report of Cyclotron Operation 1 July – 31 December 1969 — NRL Memorandum Report 2103, Naval Research Laboratory (1970) — p. 25

    Tabletop: Dee-voltage ripple modulates turn energy and orbit phase; put the envelope on a scope, log the percentage, and remember the excitation source (a cheap signal generator's spurs included) is a candidate cause before blaming the amplifier or resonator.

  146. Check Faraday-cup material systematics by swapping stopping materials without breaking vacuum: Harvard modified the cup so blocks of different materials sat in electrical contact with the stopping plate, measuring collected charge per unit incident beam (normalized by an ionization chamber) versus stopper thickness and type.

    collected charge per unit beam vs stopping-material Z and thickness = secondary-emission/scatter-loss systematic of the cup

    beam-measurementdetectors dg-1156

    Source, quote & tabletop applicability
    blocks of either of two different materials could be placed (without disturbing the vacuum system) immediately in front of the 2-inch brass stopping plate

    Harvard University Cyclotron Laboratory, Quarterly Progress Report, 1 June – 31 August 1964 — p. 2

    Tabletop: A Faraday cup's reading depends on its stopping surface through secondary emission and backscatter; measuring the same beam against two stopper materials bounds that systematic without any absolute reference.

  147. Verify target areal-density uniformity before quantitative use: Harvard scanned a collimated beam across a carbon target and located the Bragg-curve tail at each point, resolving 0.2% density changes; reactor-grade rod stock showed 1%-per-quarter-inch gradients (2% near the edge) and was rejected in favor of pyrolytic graphite.

    local areal density from range (Bragg-tail position) of a collimated beam through the target; sensitivity here 0.2%

    targetsbeam-measurement dg-1157

    Source, quote & tabletop applicability
    The density of various parts of the target was found ... by searching for the tail of the Bragg ionization curve.

    Harvard University Cyclotron Laboratory, Quarterly Progress Report, 1 June – 31 August 1964 — p. 4

    Tabletop: Ordinary graphite (and evaporated or pressed-powder targets generally) is not uniform at the percent level; a range-based or transmission-based density map of the actual target spot belongs in the error budget of any yield measurement.

  148. Start every target heat-load estimate from the deposited beam power P = I x dE (current times energy lost in the target). Corwin's worked example: 100 nA losing 43 keV in a 380 ug/cm2 PbCl2 target gives P = 0.0043 W into a 1 mm x 3 mm (0.03 cm2) beam spot. For a target thick enough to stop the beam, dE is the full beam energy.

    P[W] = I[A] x dE[eV]; Corwin example 1e-7 A x 4.3e4 eV = 4.3e-3 W over A = 0.03 cm2

    targetsbeam-measurement dg-1158

    Source, quote & tabletop applicability
    In a typical charged particle experiment 100 na of beam loses 43 keV in a W = 380 ugm/cm2 PbCl2 salt target

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 238

    Tabletop: A 1 uA, 170 keV proton beam fully stopped in an internal target deposits 0.17 W — forty times Corwin's example — into whatever spot the beam makes; the entire current limit of a thin uncooled target follows from this one number and the two removal channels (radiation, conduction) he works out next.

  149. Characterize targets by areal density (ug/cm2 = atom count per area), never by linear thickness: microscopic voids and mixed crystal phases make any linear measurement converted through bulk density "grossly erroneous", while weight is directly proportional to the number of nuclei if stoichiometry is known (Adair & Kobisk).

    areal density W [ug/cm2]; atoms/cm2 = W*N_A/M; linear h = W/rho only as estimate

    targetsbeam-measurement dg-1168

    Source, quote & tabletop applicability
    Linear measurements can lead to grossly erroneous values of atom content by virtue of included microscopic voids or a mixture of various crystal phases.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 27

    Tabletop: Yield calculations for a reaction target need atoms/cm2, which weighing gives directly; a micrometer or interference measurement of an evaporated film does not.

  150. Weighing discipline (Adair & Kobisk): direct weighing reaches ~0.5% for samples above ~1 mg even in a normal lab, and the NBS sequence-weighing scheme (sample and standard weights of similar mass weighed in a set order) cancels balance zero-point drift — an interlab check on 200+ boron and lithium crystals of 50-300 ug agreed to better than +-1% in almost every case.

    NBS sequence weighing (Pontius, NBS TN 228 / Monograph 103); drift cancels, balance sensitivity extracted from the sequence

    targetsbeam-measurement dg-1169

    Source, quote & tabletop applicability
    In almost every case the agreement was better than +-1%.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 30

    Tabletop: A used 1-ug-precision microbalance plus the free NBS weighing protocol is a complete sub-percent target-mass QA capability; the protocol, not the balance, is what removes the drift that dominates single weighings of sub-mg samples.

  151. Quartz crystal monitors are for in-situ rate and rough thickness only — calibrate them (ORNL used a vacuum microbalance; CBNM Mol made boron and uranium reference layers defined to +-0.3% that way), take the final thickness from direct weighing after removal, water-cool the crystal when the source environment exceeds ~300 C, and extend range for thick deposits with a rotating apertured wheel that samples the flux (Adair & Kobisk).

    targetsbeam-measurementfabrication dg-1170

    Source, quote & tabletop applicability
    the ultimate measurement remains the direct mass determination of the target after it has been removed from the vacuum system.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 36

    Tabletop: Treat the crystal monitor reading as a process gauge (right range, right rate), never the certified thickness; the crystal is heat-sensitive, so radiant load from the source shifts its frequency exactly when the reading matters most.

  152. Measure self-supporting film thickness by charged-particle energy loss (Adair & Kobisk): collimated alphas (241Am) through the foil, spectrum shift on a calibrated MCA, areal density = dE / stopping power. Works from a few ug/cm2 to several mg/cm2 — but published stopping-power data carry ~+-10% accuracy, which bounds the absolute result. Fission fragments (252Cf) resolve much thinner foils; beta transmission covers 40-500 mg/cm2.

    W = dE / S(E), S in MeV cm2/g; alpha for ug/cm2-mg/cm2, fission fragments for ultrathin, beta absorption for 40-500 mg/cm2

    targetsbeam-measurementdetectors dg-1171

    Source, quote & tabletop applicability
    most of these data have an accuracy of ~ +-10%.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 40

    Tabletop: The one thickness method that needs no balance and works on a mounted film; a surface-barrier detector, a check-source alpha emitter, and an MCA are all standard home-lab equipment. Quote absolute thickness no tighter than the stopping-power tables allow.

  153. Quick semi-quantitative gauges (Adair & Kobisk): a calibrated light densitometer reads carbon foil areal density in the 5-50 ug/cm2 range (useless above ~40-45 ug/cm2 where transmission saturates); low-geometry alpha or gamma counting assays radioactive deposits to ~+-1% with geometry factors down to 1e-7 for hot samples.

    targetsbeam-measurementdetectors dg-1172

    Source, quote & tabletop applicability
    light intensity change is not a very useful technique for carbon films of thickness greater than 40 or 45 ug/cm2.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 43

    Tabletop: A photodiode and lamp sort carbon stripper/backing foils into thickness bins in seconds — calibrate once against weighed foils and use it as the incoming-inspection tool.

  154. Map uniformity, not just mean thickness (Adair & Kobisk): scan the foil with a collimated alpha (or beta) beam position by position and draw a thickness topograph — a rolled 58Ni foil profiled this way showed max deviation +-1.5%. For radioactive deposits, scan with a small aperture and a silicon detector.

    targetsbeam-measurement dg-1173

    Source, quote & tabletop applicability
    The uniformity of thin foils can be determined by scanning the foil with a collimated beam of alpha particles.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 47

    Tabletop: The same alpha energy-loss rig with an XY-translated collimator becomes a uniformity mapper; a single-point thickness number hides exactly the wedge or crystallite structure that ruins energy resolution (see Abele et al., this volume).

  155. Calibrate with two peaks and measure only shifts (Thompson): spread the 6050 and 8786 keV lines across the analyzer with a biased amplifier, compute keV/channel from their separation, then read target thickness from the channel shift of each peak with the target in place. Estimate fractional channel positions from adjacent-channel counts (peaks are Gaussian) — a 5-channel shift read to whole channels is only good to ~20%. Vacuum below 1e-4 torr, else detector-bias glow discharge can damage the detector.

    Ec = (8786-6050)/(B-A) keV/ch; dE = (A-A')*Ec; thick targets by piecewise sum T = (dE/N) * sum 1/S(E-(i-1)dE/N)

    targetsbeam-measurementdetectors dg-1177

    Source, quote & tabletop applicability
    This is all the calibration which is necessary since now only energy shifts are of interest.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 63

    Tabletop: The whole rig is a surface-barrier detector, preamp, biased amp and any old 512-channel MCA — Thompson wrote it up precisely so small labs could build it; the differential (shift-only) design makes absolute gain calibration irrelevant.

  156. Limits and free diagnostics of the alpha-loss method (Thompson): minimum measurable thickness ~ Tmin = 1.22*(30 + A) ug/cm2 (A = atomic number) for 10% accuracy at half-channel estimation on 512 channels; upper limit beyond 5 mg/cm2. Peak broadening beyond the no-target width flags nonuniformity; small UNSHIFTED satellite peaks flag pinholes. Composition must be known — use Bragg additivity for compounds.

    Tmin = 1.22*(30 + A) ug/cm2 (10%, half-channel, 512 ch); S_compound = (1/M) * sum Ni*Ai*Si (Bragg additivity)

    targetsbeam-measurement dg-1178

    Source, quote & tabletop applicability
    They show up as small unshifted peaks in the energy spectrum.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 65

    Tabletop: One spectrum yields thickness, uniformity and pinhole count simultaneously — run it on every target before it goes into the machine and again after beam exposure to quantify damage.

  157. The parting agent, not the evaporation, can set target nonuniformity (Abele et al., TU Muenchen): parting-agent crystallites run 100-2000 A with 50-1000 A surface roughness — the same order as a 10 ug/cm2 carbon or 100 ug/cm2 gold film (~500 A) — so the film is a replica of the crystallite field "however uniform an evaporation may be". A 1-mm-aperture alpha thickness scan averages right over it; the damage appears as excess energy straggling, growing sharply with target tilt angle.

    crystallite size 100-2000 A ~ film thickness; effective-thickness spread grows with 1/cos(tilt) plus crystallite-plane geometry

    targetsfabricationbeam-measurement dg-1190

    Source, quote & tabletop applicability
    however uniform an evaporation may be, the parting agent produces an inhomogeneous target.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 134

    Tabletop: If a target will sit tilted to the beam or feed a spectrometer, the release-agent choice is a resolution decision, not a convenience; standard single-point thickness QA cannot see this defect — only straggling-width measurement can.

  158. Choose low-crystallite organic parting agents for resolution work (Abele et al.): among NaCl, betaine/sucrose, CsI, alanine and Teepol (= Lensodel), only Teepol — and nearly, alanine — kept measured straggling near the Vavilov (ideal-target) prediction at 30-50 degree tilt; NaCl and betaine replicas broadened it severely. Their QA method transfers whole: pass monoenergetic alphas through the finished target and compare the straggling width to Vavilov — "check the resolution of the target without using expensive beam time".

    FWHM_thickness = sqrt(FWHM_exp^2 - FWHM_Vavilov^2) / stopping power (Gaussian-folding deconvolution)

    targetsfabricationbeam-measurement dg-1191

    Source, quote & tabletop applicability
    all targets should be produced with the use of Teepol as parting agent, or ... an organic parting agent with very little crystallite structure

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 143

    Tabletop: Detergent-film release (Teepol-class) over salt release wherever the condensing metal tolerates it; and the alpha-straggling comparison is a complete bench-top target-quality metric using the same rig as the thickness measurement.

  159. Proton targetry is forgiving; energy loss scales as the square of projectile charge (Erskine, ANL): with a proton beam even a leftover gold target gave 5.1 keV FWHM at 16 MeV (1 part in 3100) — "with a proton beam, targetry is just no problem" — because mean energy loss carries a Z_proj^2 factor (oxygen loses ~64x more than protons at equal energy) while straggling grows ~Z_proj; a 10% target nonuniformity that costs protons 1.9% in energy width costs a calcium beam 22%.

    dE ~ thickness x (M/E)^0.6 x Z_proj^2; straggling ~ Z_proj x sqrt(thickness x Z/A); carbon ~2.5x the energy loss of gold per ug/cm2

    targetsbeam-measurement dg-1192

    Source, quote & tabletop applicability
    With a proton beam, targetry is just no problem. One can obtain very nice high-resolution results.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 158

    Tabletop: Direct license for a proton machine — target thickness and uniformity tolerances that dominate heavy-ion work are second-order for protons, so a thick-ish imperfect boron layer costs beam energy definition, not feasibility; budget with the Z^2 scaling when tempted by heavier beams.

  160. Foil lifetime scales inversely with beam current DENSITY, not current (Yntema, ANL): he plots carbon stripper lifetimes as particle-uA-min per mm2 of actual beam spot (for an oscillated target, the spot size, not the swept area), against ion velocity (MeV/A); stationary unheated foils fall on a straight line in these variables. Minimum practical stripper foil ~3 ug/cm2.

    lifetime metric = particle uA min / mm2 (beam-spot area); velocity variable MeV/A

    targetsbeam-measurement dg-1194

    Source, quote & tabletop applicability
    we have assumed that the foil lifetime is inversely proportional to the particle density incident on the target.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 205

    Tabletop: Current density is the damage variable — halving the spot diameter quarters foil life at fixed current; any foil-life data from the literature transfers only through uA/mm2, so measure the actual beam-spot size before predicting.

  161. Defocus and raster whenever the physics allows (Berry, ANL/Chicago): sweeping the beam at 1 kHz in x and y across a 25 mm2 aperture-defined area cut 5 ug/cm2 carbon foil breakage by 5-10x by making the current density uniform; a defining pre-aperture keeps beam off the foil holder ("better lifetime characteristics"); and a rotatable 23-foil carousel makes replacement cheaper than heroics — "defocus whenever possible is the moral".

    1 kHz x-y electrostatic raster over 25 mm2 -> breakage / 5-10; life ~ proportional to uniformly-illuminated area

    targetsbeam-measurement dg-1197

    Source, quote & tabletop applicability
    Defocus whenever possible is the moral to this result.

    Thomas & Karasek (eds.), Proceedings of the Fourth Annual Conference of the Nuclear Target Development Society — ANL/PHY/MSD-76-1, Argonne National Laboratory (1975) — p. 212

    Tabletop: An internal target wants the widest beam spot the measurement tolerates, an aperture that shadows the frame, and a multi-position holder; electrostatic wobble plates at kHz are trivial hardware on a small machine and equivalent to Corwin's mechanical rotation.

  162. Foil-lifetime levers that cost nothing: start with the beam spot as large as possible and focus down slowly, use the largest practical foil diameter, and heat the foil evenly to reduce the temperature gradient (uneven heating drives the stress).

    lifetime rises with beam-spot area, foil diameter, and temperature uniformity

    targetsbeam-measurement dg-1204

    Source, quote & tabletop applicability
    start with as large a beam spot as possible and slowly focus it smaller (Ramsay, "Alternatives to Thin Film Carbon Foils")

    Fifth Annual Conference of the International Nuclear Target Development Society — LA-6850-C, Los Alamos Scientific Laboratory (1977) — p. 85

    Tabletop: Directly usable at first target insertion — defocus onto a fresh foil, tighten the spot only as needed, and expect the smallest spot to have the shortest foil life.

  163. Weighing is a poor thickness gauge below ~10 ug/cm2 — adsorption/desorption alone contributes ~0.5 ug/cm2 of error — so use optical transmittance with a double-reflectance correction (ln(I_T/I_0) = -mu*x + ln(1-R_R)); measure thin foils at short wavelengths and thick foils at long wavelengths where they still transmit.

    ln(I_T/I_0) = -mu*x + ln(1-R_R), R_R = 1-(1-R1)(1-R2); carbon usable ~5-150 ug/cm2 across 200-2500 nm

    targetsbeam-measurement dg-1215

    Source, quote & tabletop applicability
    if you weigh the frame without and with the foil, the error will be about 0.5 ug/cm2 because of adsorption and desorption effects (Maier-Komor, "A Rapid and Accurate Method for Measuring the Thickness of Extremely Thin Targets")

    Fifth Annual Conference of the International Nuclear Target Development Society — LA-6850-C, Los Alamos Scientific Laboratory (1977) — p. 157

    Tabletop: A bench spectrophotometer (or a single calibrated LED/photodiode pair) measures foil thickness in seconds without an accelerator; cross-cite ornl-3021 for the films this gets applied to.

  164. An uncooled sputtering cathode heats up during long runs and the sputter rate climbs with it, so deposited thickness is NOT linear in time — either water-cool the cathode or calibrate thickness against weighed samples rather than clock time.

    rate spread 1-1.5 (TaN) and 3-4.5 (TiN) ug/cm2-min attributed to cathode heating

    targetsbeam-measurement dg-1229

    Source, quote & tabletop applicability
    the longer sputtering times required for thick targets produce higher temperatures, and higher rates (Stinson, "Nitrogen Targets Produced by Reactive Sputtering")

    Proceedings of the Sixth Annual Conference of the International Nuclear Target Development Society — LBL-7950, Lawrence Berkeley Laboratory (1978) — p. 67

    Tabletop: Applies to any deposition where the source drifts hot — time-based thickness control needs either thermal steady state or an in-situ monitor (quartz crystal, witness plate).

  165. Optical transmittance calibrates surface density for evaporated METAL films too (Al, Cr, Cu, Au, Ag, Sn, Ti; ~+-20% at 546.1 nm) — but gravimetric calibration fails on slides coated with soap-like parting agents, which lose weight in vacuum; reactive metals (Ti, Al, Cr) reproduce worst because of oxide/gas uptake.

    transmittance vs ug/cm2 curves at 546.1 nm, +-20%; Al/Cr/Sn/Ti useful to ~50-80 ug/cm2, Ag/Au/Cu to ~300 ug/cm2

    targetsbeam-measurement dg-1241

    Source, quote & tabletop applicability
    it was not possible to carry out accurate measurements with slides that had been coated with a soap-like parting agent (Rhoads, Stoner & Bashkin, "Calibration of Surface Densities of Metal Films by Optical Transmittance")

    Proceedings of the Sixth Annual Conference of the International Nuclear Target Development Society — LBL-7950, Lawrence Berkeley Laboratory (1978) — p. 164

    Tabletop: Extends the carbon transmittance gauge to the metals a small lab actually evaporates; weigh calibration slides bare, never soaped — the parting agent is part of the tare and it evaporates.

  166. Monitor target thickness and damage in-beam rather than trusting pre-weighing: GSI watched the elastic-scattering peak at 30 deg forward with a surface-barrier detector — FWHM measures target homogeneity, broadening flags damage — and calibrated the detectors against weighed standard targets. Per-target histories on a rotating wheel came from tagging each count with wheel position.

    targetsbeam-measurement dg-1250

    Source, quote & tabletop applicability
    broadening of the peak indicates target changes or damages

    International Nuclear Target Development Society Workshop — ANL/PHY-84-2, Argonne National Laboratory (1983) — p. 45

    Tabletop: A silicon detector at a fixed forward angle is cheap on any small machine; the scattering-peak-width-as-damage-gauge is the lightest possible target diagnostic and doubles as a luminosity monitor for excitation measurements.

  167. The decay envelope of a ringing dee maps the multipactor band edges: with plate power off, spark-induced dee oscillations fall smoothly until the voltage reaches roughly 1/3 of its (few-hundred-volt) maximum, drop steeply through the loading band, then decay slowly again below it. This is an experimental confirmation that multipactor loading occupies a BOUNDED voltage window — refining mddc-1045 p.12 (discharge exists only below ~500 V extinction) with a directly observable top edge. The observation bounds the band but does not discriminate between the proposed gap and axial multipactor mechanisms, so it contradicts neither.

    sharp-drop onset at ~1/3 of the ringdown maximum; loading band top ~ order 100 V here

    rfdeebeam-measurement dg-1280

    Source, quote & tabletop applicability
    the envelope of the oscillations was found to fall smoothly until the dee voltage had fallen to a value roughly 1/3 its maximum, then for a short time to drop steeply, then afterward to decay slowly once again.

    Fulbright, The Sparker, a Device to Overcome the Multipactor Difficulty in Starting the Oscillator of a Cyclotron — NYO-9359, University of Rochester (1961) — p. 4

    Tabletop: A free diagnostic: ring the dee (impulse or drive-and-release), scope the pickup envelope, and look for a kink. A visible steep-decay segment localizes the multipactor band on YOUR machine and tells you whether nominal operating voltage sits inside it — the critical question for any dee running near a few hundred volts.

  168. Read where arc electrons land from incandescence: before the mirror the graphite hood top glowed bright orange under electron bombardment during arc operation; after, it stayed black. Hood-glow color is a free, direct diagnostic of electron end-loss (and of mirror effectiveness) visible through any viewport.

    ion-sourcebeam-measurement dg-1285

    Source, quote & tabletop applicability
    the top of the graphite hood glowed a bright orange color when the arc was operating, because of the intense electron bombardment.

    Fulbright, A Hooded Arc Ion Source with a Magnetic Mirror Feature — NYO-9358, University of Rochester (1962) — p. 2

    Tabletop: A diagnostic that costs a glance: if the chimney/hood top of a small source runs orange-hot, the arc power is exiting axially instead of ionizing gas — evidence for adding reflection (mirror or repeller) and a before/after check that it worked.

  169. For absolute field intensity with an induction coil, only full 180-degree flips count: partial throws are acceptable for relative and bucking measurements but not for absolutes, because the flipped flux change is exactly 2*B*A only at 180 degrees. Full-scale magnet magnetization curves were taken exclusively by flip coil for this reason.

    delta-phi(180-deg flip) = 2*B*A_eff

    beam-measurementmagnet dg-1302

    Source, quote & tabletop applicability
    In accurate determinations of the absolute magnetic field intensity, only angular throws of 180 deg are considered satisfactory.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 72

    Tabletop: The flip coil remains the cheapest absolute cross-check on a Hall probe — an NMR-free lab can tie its Hall calibration to a geometry-defined coil area plus an integrator, provided the flip is a true reversal.

  170. Calibrate deflection instruments by bracketing, not by assuming linearity: interleave flux-standard deflections with the unknown and interpolate. Linearity of a ballistic galvanometer holds only to ~1 per cent when the standard deflection is about half the unknown (damping changes with amplitude); bracketing recovers 0.5 per cent field accuracy. Keep circuit resistance identical between calibration and measurement — sensitivity depends on R.

    bracket unknown between standard deflections; hold R_circuit constant

    beam-measurement dg-1303

    Source, quote & tabletop applicability
    Field measurements may be made to 0.5 per cent accuracy by bracketing the deflections to be interpreted with deflections from the flux standard and then interpolating.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 45

    Tabletop: Transfers verbatim to any ADC/integrator field mapper — calibrate at deflections spanning the readings, with the same input impedance, rather than trusting one scale factor.

  171. Build the calibration chain on geometry: a single-layer solenoid coil wound on an accurately machined cylinder has effective area pi*D^2*N/4 good to at least 0.1 per cent when wire diameter << cylinder diameter — a primary area standard any shop can make. Calibrate random-wound working coils against it (rotate-to-null comparison, A = S*sin-theta), or in a long solenoid with a tapped bucking secondary (mutual-inductance formula good to 0.05 per cent).

    A_eff = pi*D^2*N/4 (single layer, mean D center-of-wire to center-of-wire)

    beam-measurementfabrication dg-1304

    Source, quote & tabletop applicability
    As verified by practice, Eq. 68 holds true to at least 0.1 per cent accuracy when the diameter of the wire is small compared to the diameter of the cylinder.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 62

    Tabletop: A machined-spool primary standard plus a fluxgate-free comparison puts sub-0.5% absolute field capability in a home lab; it is the piece that turns a flip coil from a relative into an absolute instrument.

  172. Expect ~0.35 per cent from a well-run secondary flux standard: calibrating against a standard mutual inductance (phi = 10^5*M*i) carries the RSS of the mutual-inductance calibration (~0.25%) and deflection matching (~0.25%) — and the error formula prediction was verified in practice. Treat sub-0.1% claims from simple induction chains with suspicion.

    phi[line-turns] = 1e5 * M[mH] * i[A]; X = sqrt(X1^2 + X2^2) ~ 0.35%

    beam-measurement dg-1305

    Source, quote & tabletop applicability
    The value of X is 0.35 per cent, which is verified in practice.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 70

    Tabletop: Sets the realistic error floor for coil-and-integrator absolute field measurement; a Hall probe certified to 0.1% is genuinely better than the classical chain, but only if its own calibration is traceable.

  173. When the magnet supply is unregulated, make uniformity measurements differential: fix a bucking coil in the field, series-oppose it with the moving search coil, and trim (tilt or shunt) until excitation on/off gives zero net deflection. Supply drift then enters only the measured field DIFFERENCES — a 1 per cent current wobble costs 1 per cent of the (small) nonuniformity, i.e. ~1e-4 of the field for a 1 per cent contour.

    series-bucked pair; error ~ (dI/I) x (delta-H/H), not (dI/I)

    beam-measurementmagnet dg-1306

    Source, quote & tabletop applicability
    A 1 per cent change in the exciting current produces an error of only 1 per cent in the changes in the magnetic field.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 72

    Tabletop: The classical answer to shimming with a wandering surplus supply — map relative structure differentially and pin the absolute scale with occasional flips; a modern two-channel Hall differential measurement inherits the same immunity.

  174. Match the probe to the field structure: sample the field at a point, not an average — the model-survey coils were 0.20 in. diameter x 0.15 in. high (2000 turns of No. 46, ~350 turn-cm^2) so that 0.5 in. resolution on the full-scale magnet (1/32 in. on the 1/16 model) was preserved, and coil placement errors were held below 1/32 in. Verify by repeat runs that the finite coil size does not degrade the map.

    probe dimension << field-structure scale / model scale factor

    beam-measurementmodeling dg-1307

    Source, quote & tabletop applicability
    It was desirable to know the magnetic field accurately to within 0.5 in. on the full-scale magnet. This corresponded to 1/32 in. on the models.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 73

    Tabletop: The active-area rule for Hall mapping a shim edge: a 1-2 mm sensor is marginal where the gradient scale is a few mm (pole edge, shim step); position repeatability of the mapper jig belongs in the same error budget as the sensor.

  175. In drift-limited flux integration, LOW sensitivity wins: a many-turn search coil driving a low-sensitivity fluxmeter beats a few-turn coil on a sensitive one — same signal, but drift from thermal/contact emf scales with instrument sensitivity, and lead/contact resistance and stray loop area matter less. Drift, not gain, is the enemy; check and re-zero it continuously through a run.

    drift rate (const emf) ~ 1/G ~ sensitivity; signal fixed by n_coil scaling

    beam-measurement dg-1308

    Source, quote & tabletop applicability
    Since drift is the most troublesome feature of a fluxmeter, the advantages of the low-sensitivity fluxmeter far outweigh those of the high-sensitivy fluxmeters for accurate, reliable measurements.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 58

    Tabletop: Maps directly onto modern integrator front-ends — put the gain in the coil (turns), keep the electronics gain low, and treat offset/drift correction as part of every run, not a once-per-day calibration.

  176. Two low-tech field-shape tools worth keeping: (a) iron filings photograph the stray-field direction map, with slightly-magnetic stainless-steel filings filling in near sharp iron corners where iron filings migrate to the pole; print the pattern directly onto sensitized (blueprint) paper laid under the filings for an immediate permanent record, then take magnitudes with a coil at points on the printed pattern. (b) A mercury-arc discharge tube aligned with the field collapses its glow onto the field line, giving line-shape deviation measurable with a cathetometer.

    beam-measurementmagnet dg-1309

    Source, quote & tabletop applicability
    stainless-steel filings (being slightly magnetic) sprinkled in this area will arrange themselves along the lines of force without accumulation.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 81

    Tabletop: Zero-cost qualitative diagnostics for a home lab — a filing map locates stray-field lobes and leakage paths before any probe survey, and the discharge-follows-field trick is a natural cross-check in a machine that already runs a plasma source.

  177. Turn beam-physics tolerances into go/no-go field acceptance tests before measuring: the plant translated "focal pattern within 0.5 mass unit" into (a) an integral criterion — measured integral of h_z dx along the beam arc (30 series-connected coils on the orbit arc) must match theory within 3 cm of galvanometer deflection — and (b) template numbers laid over source-region data sheets (0.2%/in along the arc, 0.1%/in axially). Field quality became a pass/fail reading, not a judgment call.

    acceptance = |integral h_z dx (meas) - (theory)| < deflection criterion; gradient templates 0.2%/in and 0.1%/in

    beam-measurementbeam-dynamics dg-1310

    Source, quote & tabletop applicability
    it was necessary for the values of the quantity integral h_z dx, experimental and theoretical, to differ by less than 3 cm, in terms of galvanometer deflection.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 87

    Tabletop: The discipline transfers whole: derive numeric field-map acceptance bands from orbit tolerance (phase-slip or centering budget) beforehand, so a survey ends in pass/fail per region instead of open-ended interpretation. Orbit-integral quantities beat point values when the beam only feels the integral.

  178. Cheap full-scale field techniques that earned their keep: compass-and-drawing-board flux plots (5/8-in. compass, 1/4-in. cross-section paper) traced field-line shape with error under 1/8 in. and repeat-trace checks under 1/16 in.; switchboard ammeters were calibrated against a potentiometer across the current shunt (magnetization curves were 2%-accurate, limited by the ammeter); and unregulated excitation was tolerated per-tank by correcting all readings to a reference field on the assumption that field SHAPE is invariant for small level changes.

    beam-measurementmagnet dg-1326

    Source, quote & tabletop applicability
    A check of the accuracy of this method was made by determining the same line twice, and this check indicated that the error was not greater than 1/16 in.

    Wakerling & Guthrie (eds.), Magnets and Magnetic Measuring Techniques — TID-5215, Radiation Laboratory, University of California (1949) — p. 192

    Tabletop: Three habits for a home lab: repeat-trace to certify a mapping method, calibrate the current METER (it is usually the accuracy floor of a B-vs-I curve), and normalize survey data to a monitor reading so supply drift cancels out of shape maps.

  179. Measure relative radial field dependence with two flip coils in opposition on a common rotating shaft — one fixed at the magnet axis, one moved radially by a lead screw — flipped simultaneously through equal angles. Cancelling most of the EMF permits high sensitivity on the DIFFERENCE and "eliminates the importance of many instrumental imperfections ... such as drifting of the exciting current, inaccurate flipping, inconstancy of the fluxmeter, and temperature effects"; it even made close regulation of the magnet current unnecessary (a hand rheostat sufficed). One reduced-sensitivity reading with the fixed coil alone establishes the percentage scale.

    beam-measurementmagnet dg-1335

    Source, quote & tabletop applicability
    drifting of the exciting current, inaccurate flipping, inconstancy of the fluxmeter, and temperature effects

    The University of Washington 60-Inch Cyclotron: Progress and Status Report of Design and Construction — AECU-1951, University of Washington (c. 1950) — p. 26

    Tabletop: DIRECT — the differential trick ports to modern probes; two matched Hall/NMR channels read as a difference kill supply drift and thermal drift, the dominant error sources in a garage field survey. Same scheme reused on the full magnet with 28-turn, 0.607-cm-mean-radius coils (PDF p.30).

  180. The median SURFACE is a separate spec from azimuthal symmetry: "an azimuthally symmetric field may still have a dish-shaped median surface." UW mapped it with a dipping needle — a soft-iron rod 0.10 in dia x 1.50 in long on a tensioned horizontal silk thread carrying a mirror, read by telescope and vertical scale, the whole rig raised by screws until the field lay parallel to a reference direction taken at the (very uniform) gap center. Verdict: max departure 0.5 in from the geometric midplane, accepted without direct correction; the later azimuthal shimming was symmetric about the midplane so it could not disturb the median surface.

    magnetbeam-measurement dg-1344

    Source, quote & tabletop applicability
    an azimuthally symmetric field may still have a dish-shaped median surface.

    The University of Washington 60-Inch Cyclotron: Progress and Status Report of Design and Construction — AECU-1951, University of Washington (c. 1950) — p. 42

    Tabletop: DIRECT physics: a displaced/dished magnetic median plane steers the circulating beam into a dee lid at small gap heights. A tabletop analog of the dip needle (or vertical probe-pair difference) belongs in the survey plan; and keep deliberate shimming mirror-symmetric about the midplane unless correcting the median surface is the goal. Needle details PDF p.44, map Fig. 3.13 p.45.

  181. Instrument HV circuits by magnetic isolation where a direct meter would sit at kilovolts: UW measures grid current (in a lead at high negative voltage) by passing it through the control winding of a SATURABLE REACTOR whose AC winding sits in an inductance bridge at ground — the DC value is read as a bridge unbalance with full galvanic isolation. Dee voltage is read by series-type peak voltmeters fed from small capacity probes facing copper paddles soldered to the dee edge, the diode voltmeter housed in a magnetically shielded box outside the tank.

    rfbeam-measurement dg-1356

    Source, quote & tabletop applicability
    measured by means of a saturable reactor ... The dee voltmeters are of the series type coupled ... by a small capacity between the probe and a copper paddle soldered to the dee edge.

    The University of Washington 60-Inch Cyclotron: Progress and Status Report of Design and Construction — AECU-1951, University of Washington (c. 1950) — p. 86

    Tabletop: The capacitive-paddle dee voltmeter is the same instrument Koeth calibrated on the Rutgers 12-inch and the missing calibration on the reference machine's "~800 V nominal" — a soldered paddle + defined-gap probe + diode peak detector, calibrated once against a real HV probe, converts dee voltage from folklore to data. The saturable- reactor trick survives as the Hall-effect/isolated-shunt principle: never bring an HV node to the meter.

  182. Measure extracted beam power by direct charge collection, not calorimetry, when you have the choice: UW considered deducing beam power from target cooling-water temperature rise but preferred the insulated-probe current measurement — "the direct measurement is preferable since for appreciable water flow the temperature difference is very small" and harder to read accurately.

    beam-measurement dg-1361

    Source, quote & tabletop applicability
    the direct measurement is preferable since for appreciable water flow the temperature difference is very small.

    The University of Washington 60-Inch Cyclotron: Progress and Status Report of Design and Construction — AECU-1951, University of Washington (c. 1950) — p. 118

    Tabletop: At nA-uA tabletop currents calorimetry is hopeless (uW-mW against watts of RF pickup) — the Faraday cup + electrometer choice the reference machine already made is the 1951 conclusion too. Calorimetry earns its place only at tens of watts of beam.