Design Guide › Ion source
Ion source design rules
154 of the guide’s 1374 rules carry the ion-source tag.
Rules for the internal source: filament and PIG geometry, gas feed and its vacuum load, arc conditions, chimney slits, and the starting conditions an orbit needs from the center.
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=ion-source and add a second chip. Related domains, by how often they share a rule with this one: Vacuum (25), Fabrication (23), Beam dynamics (22), Materials (18), Beam measurement (14).
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.
Section along the field axis
Plan at the median plane
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Before freezing magnet geometry, check the design against every subsystem it must host: RF system, vacuum pumping, ion source/injection, extraction or internal target, and diagnostic probes.
Source, quote & tabletop applicability
Cyclotron magnet design should always consider interaction with subsystems: RF system, vacuum pumping, ion source or injection system, extraction system or internal target, diagnostic probes.
Zaremba, Magnets for Cyclotrons (2005) — p. 3, 45
Tabletop: The most common amateur failure mode is a magnet that works but leaves no port for the probe or pump; run this five-item checklist on every layout iteration for a next machine.
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If using an ion-source chimney, verify the first half-turn clears the chimney body: with a 0.5-in dee gap and Rs = 0.8 ohm, calculated first ions clear at ~200 W RF (50 W is far too low, 500 W comfortable).
First-turn radius from x,y solutions with E = Vpeak/gap; thresholds: 50 W too low, ~200 W first ions clear, 500 W sufficientSource, quote & tabletop applicability
an input RF power level of 50 watts is too low, and 500 watts should be sufficient. The first ions are expected to clear the chimney at approximately 200 watts.
Koeth, Rutgers 12 Inch Cyclotron Ion Source Studies: Part I (2006) — p. 5
Tabletop: A geometry trap for a next machine: any chimney or source structure must be smaller than the first half-turn diameter set by the dee voltage, or beam dies before the first gap crossing.
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If beam peaks with the source displaced off-center, suspect unequal accelerating voltage along the dee faces (transmission-line droop, measured up to 5 percent) driving orbit-center precession; displacements over 2 in have been needed on large machines.
D-face voltage droop up to 5%; compensate by radial source offsetSource, quote & tabletop applicability
there will be a somewhat lower potential at the ends of the D faces nearest the lines ... measured in some cyclotrons to be as great as 5 per cent ... a displacement of the ion source of over 2 in. has been necessary.
Livingston & Blewett, Particle Accelerators (1962) — p. 164
Tabletop: Make the source mount adjustable by a few mm in both directions and tune position for beam, not for geometric center.
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Match the exposed ionization-column length to the dee aperture (5/8 in for a 1.6-in aperture, 1-3/8 in for 4-in dees); too long a column loads the RF circuit with off-focus ions and drags down dee voltage.
optimum column length ~ 0.35-0.4 x internal dee apertureSource, quote & tabletop applicability
At MIT, with an internal D aperture of 1.6 in. the optimum length of ionization column was 5/8 in. For 4-in.-wide D's in the Carnegie Institution 60-in. machine it was 1 3/8-in.
Livingston & Blewett, Particle Accelerators (1962) — p. 178
Tabletop: Hood or collimate the reference machine's source so only ~1/3 of the dee aperture height of plasma column is exposed; more column means RF load, not more beam.
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Set the extraction gap by the empirical vacuum-breakdown limit d[mm] >= 1.41e-2 * U[kV]^1.5 (clean flat surfaces): 10 kV needs >=0.45 mm, 30 kV >=2.3 mm, 50 kV >=5 mm; smaller gaps arc, much larger gaps waste extraction field.
d[mm] >= 1.41e-2 * (U[kV])^(3/2)Source, quote & tabletop applicability
The voltage breakdown limit determines the necessary gap width. The empirically determined limit (valid for clean, flat surfaces) is d[mm] >= 1.41 x 10^-2 * phi[kV]^(3/2).
Wolf (ed.), Handbook of Ion Sources (1995) — p. 379
Tabletop: Direct rule for the reference machine's source-to-puller spacing and any dee-to-ground clearance: a few-kV dee needs sub-mm minimum, but leave margin because sputtered metal films spoil the 'clean surface' assumption fast.
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Prebreakdown current in HV vacuum gaps is field emission from microscopic whiskers (runaway as local field approaches ~1e10 V/m, enhancement beta = lambda^2/ln(lambda)); slow 'conditioning' -- holding voltage while microampere pulses burn off the sharpest points -- permanently raises the threshold, so condition new electrodes gradually and expect to redo it after every air exposure.
Fowler-Nordheim j ~ E_l^2 exp(-6.43e9*phi^1.5/E_l); E_local ~ 1e10 V/m for runaway; beta = lambda^2/ln(lambda) for whisker aspect lambda; conditioning partially lost after 24 h off or air exposureSource, quote & tabletop applicability
A large increase in current occurs only as the local field approaches 10^10 V per meter... After several minutes of current flow at the constant voltage, a remeasurement of the threshold voltage shows that it has increased. This phenomenon is called conditioning.
Miley & Murali, Inertial Electrostatic Confinement (IEC) Fusion: Fundamentals and Applications (2014) — p. 111-113
Tabletop: Bring the reference machine's dee and extraction voltages up over tens of minutes on first pump-down, watching for micro-discharge pulses; a gap that arcs at 15 kV cold will often hold 20+ kV after patient conditioning.
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Coaxial HV feedthrough geometry: peak field sits on the inner conductor at E_max = V/(r_i*ln(r_o/r_i)), minimized when r_i/r_o = 1/e ~ 0.37; also round the edge of any outer/shield conductor to a radius no smaller than the inner conductor's radius.
E_max = V/(r_i*ln(r_o/r_i)); optimum r_i/r_o = 1/e; edge radius of outer electrode >= r_i; concentric spheres optimum R_o/R_i = 2Source, quote & tabletop applicability
The optimum ratio as r_i/r_o = 1/e. This optimum ratio minimizes the stresses within the coaxial electrode arrangement, independent of the material of the dielectric used.
Miley & Murali, Inertial Electrostatic Confinement (IEC) Fusion: Fundamentals and Applications (2014) — p. 117, 122-124
Tabletop: Sizes the reference machine's HV stalk directly: for a grounded 25-mm-bore chamber port, a ~9-mm center conductor minimizes field stress; and never leave a sharp-edged washer or nut on the HV end.
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Sputtered cathode metal plates every line-of-sight insulator and eventually shorts it: shadow-shield the HV stalk from direct ion flow (coaxial shield tubes, conical shadowing insulator facing the cathode) and corrugate insulator surfaces to lengthen the surface-leakage path.
design rules: shadow shields between plasma and insulator; corrugated/conical insulator profile; expect W/Fe/Al sputter films; clean with diamond file or sandblast (sandblasting can ruin polished grids)Source, quote & tabletop applicability
This phenomenon causes the cathode grid material from the IEC device to be deposited on the high-voltage (HV) stalk. That can in time cause premature breakdown at the stalk.
Miley & Murali, Inertial Electrostatic Confinement (IEC) Fusion: Fundamentals and Applications (2014) — p. 87, 105, 109
Tabletop: In the reference machine's small chamber everything sees the source; a simple washer-stack or skirt shielding the feedthrough ceramic from the chimney slit will multiply time-between-cleanings.
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Use an AEI hairpin electron-microscope filament floating at about -90 V and heated with 2 A as the ion source, and short RF pickup on each filament lead to ground through a 0.001 uF capacitor.
filament bias -90 V, heater 2 A, 0.001 uF RF bypass on each leadSource, quote & tabletop applicability
A standard AEI hairpin electron microscope filament floating at approximately -90 V is heated by 2 A of current ... RF pickup on each filament lead is shorted through a 0.001 uF capacitor to ground.
Tabletop: An off-the-shelf, cheap, replaceable filament choice plus the RF-bypass detail that keeps the filament supply alive next to a live Dee.
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Use graphite for arc bodies, cones, and dee feelers near the source - it runs hot with minimal sputtering and evaporation; use feeler extensions on the dee faces opposite the source to raise the extraction field and improve first-turn focusing.
Source, quote & tabletop applicability
Graphite is coming into wide use for cones, arc bodies, and also for D feelers or accelerating electrodes; it operates at high temperatures with a minimum of sputtering or evaporation.
Livingston & Blewett, Particle Accelerators (1962) — p. 166-178
Tabletop: Graphite source parts keep metal sputter off insulators and chamber walls; a feeler (puller) on the dee edge is the single cheapest first-turn-capture upgrade.
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There is no magnetic vertical focusing at the machine center (n=0 by symmetry); the first turns survive because the dee-gap electric field acts as an electrostatic immersion lens - so central-region electrode geometry and RF phase matter most in the first few turns.
n(r) ~ r^2 near center -> no magnetic focusing at r=0; gap E-field provides focusing, modified by transit timeSource, quote & tabletop applicability
There is no vertical magnetic focusing at the center of the magnet. By a fortunate coincidence, electrostatic focusing by the accelerating fields is effective for low-energy ions.
Humphries, Principles of Charged Particle Acceleration (1986) — p. 524, 526
Tabletop: Explains why source-to-dee geometry (chimney position, puller gap, aperture height) dominates beam capture on small machines: the magnet cannot help until several turns out.
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Insulate the filament (1-3 V DC) from the dee, which sits at 1-2 kV RF in this machine class, with a ~0.18 cm machinable ceramic plate; barrel connectors epoxied to the ceramic carry the leads.
dee RF 1-2 kV vs filament 1-3 V; 0.18 cm ceramic insulatorSource, quote & tabletop applicability
the RF voltage on the dee is typically between 1 and 2 kV, far greater than the 1-3 V DC placed across the filament. Thus, the filament and wires must be adequately insulated from the dee
Tabletop: Matches the reference machine's ~1.3 kV operating point today; at their planned 5-13 kV the same geometry needs proportionally more ceramic creepage distance.
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Prefer oil diffusion pumps over mercury for accelerator columns: mercury vapor promotes autoelectronic (field-emission) discharges from high-voltage electrodes, and fast pumping is needed for steady discharge conditions.
Source, quote & tabletop applicability
Fast pumping is required and it is desirable to use oil rather than mercury diffusion pumps as mercury seems to promote autoelectronic discharges from the electrodes.
Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 259-260
Tabletop: Moot for pump choice today, but the underlying rule stands: condensable metal vapors on HV electrodes trigger field emission; keep electrode surfaces free of conductive films.
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A canal-ray (obstructed glow) proton source produces maximum proton output at a discharge voltage of about 20 kV; only a small fraction of discharge current becomes protons, so run 10-100 mA of discharge to get ~1 mA of beam (about 5%).
optimum discharge ~20 kV; I_beam/I_discharge ~ 1 mA / 20 mA = 5%Source, quote & tabletop applicability
the maximum current is produced from a discharge running at about 20,000 volts... the current collected by the Faraday cylinder F into which it can penetrate is of the order of 1 milliampere with 20 milliamperes in the discharge.
Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 260-261
Tabletop: Sets the historical proton-conversion baseline: expect percent-level proton yield from a gas discharge and budget discharge power accordingly.
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Keep the anode-cathode annular gap small (~4 mm) so no discharge can build up in the gap; the discharge then concentrates naturally on the cathode canal hole, and cathode/tube parts may run red-hot and radiate their heat.
anode-cathode radial clearance ~4 mm (below discharge maintenance distance at operating pressure)Source, quote & tabletop applicability
The space between the two steel tubes is too small for a discharge to build up there and it concentrates naturally on the hole in the cathode.
Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 260-261
Tabletop: The 'gap smaller than the dark space' principle is how the builder can force their source discharge to localize at the extraction aperture rather than wander.
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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 steeplySource, 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.
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Degas an accelerating column by running a hydrogen discharge at 20-60 kV at the highest possible current density for about half an hour; after pumping out, the tube holds 200 kV stably, and thereafter ~30 min of morning running restores steady state.
conditioning discharge 20-60 kV, ~30 min -> holds 200 kVSource, quote & tabletop applicability
admitting hydrogen till it was possible to run a discharge at about 20-60 kilovolts... on pumping out the hydrogen it is usually found that the tube is quite hard and stable up to 200,000 volts.
Oliphant & Rutherford, Experiments on the Transmutation of Elements by Protons (1933) — p. 265
Tabletop: A concrete glow-discharge conditioning schedule the builder can scale for dee and extraction electrodes that must hold voltage without sparking.
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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.
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.
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Run the ion source as a low-voltage hot-cathode arc: 2-3 A discharge at 100-150 V, cavity pressure ~1e-2 mm Hg maintained through the exit hole, gas flow ~2 cm3/min (STP); expect ~0.5 mA resonant beam from such a source.
arc 3 A @ 100 V; electron beam ~2 A; gas 2 cm3/min atm; cavity ~1e-2 mm Hg; resonant beam ~0.5 mASource, quote & tabletop applicability
arc current, 3 amp; arc voltage drop, 100 volts; electron beam from exit hole, 2 amp; gas flow, 2 cm3/min at atmospheric pressure. The resonant ion beam pulled from such a source ... might be about 0.5 ma.
Livingston & Blewett, Particle Accelerators (1962) — p. 175-178
Tabletop: These operating points scale down gracefully; the key architecture point - a differentially pumped cavity at ~1e-2 torr feeding a chamber at 1e-5 - applies at any size.
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Heat the source cathode with DC or ~100 kHz AC, never mains-frequency AC, to avoid vibration damage from the magnetic field; keep oxygen out of the gas (it erodes the cathode) and expect 100-200 hr filament life.
cathode: heavy W or Ta rod; heating dc or ~100 kc; life 100-200 hrSource, quote & tabletop applicability
The heating power is either dc or high-frequency ac (~100 kc) to avoid damage from vibration in the magnetic field at low frequencies. Cathode life is ... materially shortened by traces of oxygen.
Livingston & Blewett, Particle Accelerators (1962) — p. 177-178
Tabletop: A 60 Hz-heated filament in a 0.59 T field literally shakes itself apart; DC heating and clean hydrogen are cheap reliability.
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Design for operating pressure ~2e-5 mm Hg with source gas flowing (base <1e-6); the ion-source gas load, not outgassing, sets the working pressure, so put pumping speed close to the dees.
MIT: 2400 l/s on 2000 l volume; base <1e-6 mm Hg, operating ~2e-5 mm Hg with D2 flowSource, quote & tabletop applicability
With no gas flow, chamber pressures of better than 1 x 10-6 mm Hg are obtained. With the deuterium gas flow from the ion source, the operating pressure is about 2 x 10-5 mm Hg.
Livingston & Blewett, Particle Accelerators (1962) — p. 198
Tabletop: The builder should expect an order-of-magnitude pressure rise when hydrogen flows; low-2e-5 territory while running is normal and workable, not a leak.
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Heat the spiral filament ion source with high-frequency AC rather than DC or mains AC, to avoid the self-generated J x B forces tearing the spiral apart in the main magnetic field.
Source, quote & tabletop applicability
The filament is heated to incandescence by a high-frequency a-c power supply. The high-frequency is used to minimize self-destructive magnetic effects in the spiral filament.
McGuire, The Iowa State University 1.5 MeV Undergraduate Cyclotron (1961) — p. 7
Tabletop: Concrete fix for a failure mode the builder will hit at 0.6-1.7 T with a hairpin/spiral filament: filament life is a chronic tabletop problem.
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Penning-source housekeeping numbers: gas consumption 0.2-0.6 sccm, source pressure 1-10 Pa, ignition needs 3-5 kV even if the running arc is 0.3-1.3 kV, extraction 5-25 kV, anode (chimney) apertures 1x25 to 1.5x45 mm with cathode spacing 6-25 cm in big machines.
gas 0.2-0.6 sccm; p_source = 1-10 Pa; V_ignition = 3-5 kV; V_arc = 0.3-5 kV; V_extraction = 5-35 kVSource, quote & tabletop applicability
Operating Data of Penning Ion Sources: Arc voltage 0.3-1.3 / 1-5 kV; Ignition volt. 3-5 kV; Gas pressure 1-10 Pa; Gas consumption 0.2 sccm.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 101
Tabletop: The reference machine's MFC should be sized and calibrated around the 0.1-1 sccm range, and the arc supply must tolerate a several-kV open-circuit ignition transient before folding back to run voltage.
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Match structural metals to their real vacuum temperature limits: stainless to ~1000 C (alloys with Ta/Mo above 900 C!), Mo to 2000 C (goes brittle, use TZM), Ta to 2600 C, W to 3400 C but nearly unmachinable, W-Re alloys are formable filament stock, graphite to 3500 C but outgasses and holds a memory effect.
service limits: Cu 600 C, Ti 800 C, SS 1000 C, Mo 2000 C, Ta 2600 C, Re 3150 C, W 3400 C, graphite 3500 CSource, quote & tabletop applicability
Stainless steel is an excellent material up to about 1000 C... It forms low-melting alloys with tantalum and molybdenum above 900 C... Tungsten... has the highest melting point of about 3400 C and is best suited for filaments.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 355
Tabletop: Do not clamp Ta filament legs directly in stainless fixtures near the hot zone; use Mo or graphite intermediate parts in the next machine's chimney.
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Pick hot-zone insulators by temperature and outgassing: quartz and Macor to ~1000 C, boron nitride excellent to 1200 C but absorbs water and outgasses badly (bake gently first), alumina to 1400 C is the workhorse; BN releases nitrogen above 1500 C.
quartz 1000 C; Macor ~1000 C; BN 1200 C (1500 C max, decomposes); alumina 1400 C; zirconia 1600 C but conducts above 1000 CSource, quote & tabletop applicability
Boron nitride is an excellent material for most applications for temperatures up to 1200 C... It outgasses badly and tends to absorb water, which can destroy the parts when heated too fast.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 356
Tabletop: BN filament insulators in a home source must be pre-baked and brought up to arc power slowly the first time after air exposure, or they crack and gas up the chamber.
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Space-charge-limited extraction current density follows Child-Langmuir in practical units: j[mA/cm^2] = 1.72*sqrt(q*/u)*U[kV]^1.5/d[cm]^2 -- for protons at 10 kV across a 5-mm (0.5 cm) gap that is ~220 mA/cm^2, far above a hobby cyclotron's needs. [Correction, Aug 2026: the source prints the denominator as d[mm], but the 1.72 coefficient requires d in centimeters; the originally extracted example (~2.2 mA/cm^2) was low by 100x. Verified against the SI form of Child-Langmuir. The verbatim quote below preserves the source's own text.]
j[mA/cm^2] = 1.72*sqrt(q*/u)*(phi[kV])^(3/2)/(d[cm])^2Source, quote & tabletop applicability
In more practical units, this equation can be rewritten: j[mA/cm2] = 1.72 * sqrt(q*/u) * phi[kV]^(3/2) / d[mm]^2.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 376-377
Tabletop: Confirms the reference machine's nA beams are nowhere near space-charge limits; if extraction is weak the problem is geometry/plasma matching, not the Child-Langmuir ceiling.
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Design extraction optics around an aspect ratio (aperture radius : gap) of S ~ 0.5, which gives a per-aperture current limit I[mA] = 0.703*sqrt(q*/u)*U[kV]^1.5 and minimum divergence; the plasma density must then be matched to the field or the beam over/under-focuses.
S = r/d ~ 0.5; I[mA] = 0.703*sqrt(q*/u)*phi[kV]^(3/2); divergence w0 = 0.5*(r/d)*(1 - 1.67*Pi_normalized) for round aperturesSource, quote & tabletop applicability
The assumption of a certain aspect ratio (aperture radius to electrode separation). A good aspect ratio is on the order of S = 0.5.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 379
Tabletop: For the puller gap in a next machine: make the source-slit half-width about half the slit-to-puller distance, then tune arc density (not geometry) until the beam is parallel.
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Size thermionic cathodes with the Richardson formula and treat temperature as the only real knob: a 10% temperature change swings emission roughly 10-fold, so regulate filament heating current tightly.
j_sat = A*b*T^2*exp(-e*phi/kT) A/cm^2, A = 120.4 A/cm^2K^2; W: phi = 4.54 V, A*b = 60; Ta: phi = 4.12 V, A*b = 60; thoriated W (Th on W): phi = 2.63 V, A*b = 3.0Source, quote & tabletop applicability
The increase of the saturation current with temperature is very strong; a 10% change in temperature corresponds to a 10-fold increase of 20% to a 100-fold increase.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 38-39
Tabletop: The reference machine's hydrogen filament source lives or dies on filament temperature stability; a constant-current supply with fine adjustment is worth more than raw power.
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Budget filament heater power from radiation: refractory-metal filaments radiate roughly 20 W/cm^2 of surface at 2000 K, and nearly all input power leaves as radiation rather than end conduction, so the surrounding chimney/anode must take that heat.
P_rad ~ 20 W/cm^2 at 2000 K (W, Ta, Mo similar); filament V ~ sqrt(d)*l, I ~ d^1.5, independent of lengthSource, quote & tabletop applicability
Most of the power put into a filament is radiated and very little is lost through the ends. Most high-temperature metals show similar radiation behavior (~20 W/cm2 at 2000 K).
Wolf (ed.), Handbook of Ion Sources (1995) — p. 39
Tabletop: A few cm^2 of hot filament dumps tens of watts into the reference machine's source body; the hood/chimney around the filament needs a conductive heat path to the pole or water cooling.
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Run refractory filaments at the lowest temperature that gives enough emission -- evaporation lifetime is savage: a 1-mm W wire lasts ~8,300 h at 2500 K but ~46 h at 2900 K; a 1-mm Ta wire ~7,000 h at 2400 K but ~350 h at 2600 K; lifetime scales linearly with wire diameter, and Ta (the easiest refractory to form) embrittles in hydrogen.
W: 2500 K -> 0.30 A/cm^2, 8.3e3 h (1 mm); 2700 K -> 1.6 A/cm^2, 500 h; 2900 K -> 7.3 A/cm^2, 46 h. Ta: 2400 K -> 0.65 A/cm^2, 7.0e3 h; 2600 K -> 2.7 A/cm^2, 350 h. Life proportional to diameterSource, quote & tabletop applicability
The increase of temperature for higher electron output is limited by the increasing evaporation of cathode material, which decreases the cathode lifetime. Tables 1.2 and 1.3 give the respective data for W and Ta.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 41-42
Tabletop: For a next machine, a fatter filament run cooler at ~0.1-1 A/cm^2 buys weeks of run time instead of days; treat used Ta hairpins as brittle after hydrogen exposure.
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Discharge-type sources with good confinement reach >=50% gas efficiency (multicusp: >50% for hydrogen), while poorly confined sources run 10-20%; every neutral that escapes the chimney loads the main vacuum, so gas efficiency is a vacuum-design parameter.
gas efficiency: multicusp/e-bombardment <=50% (H2 >50%); plasmatron family 10-20% to 50%Source, quote & tabletop applicability
Gas efficiency: >50% for hydrogen and higher for other gases.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 57, 69, 110
Tabletop: At 0.2 sccm feed and 50% efficiency only ~0.1 sccm of H2 leaks into the chamber; doubling source gas efficiency is worth as much as doubling pump speed for keeping the beam path at low pressure.
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Expect only 10-100 h filament life in a working arc source; the proven quiet-arc template (Freeman) is 40-70 V at 1-3 A with a massive 2-mm Ta/W cathode rod heated by ~130 A, and since erosion concentrates at the positive filament end, periodically reversing DC heater polarity extends life (AC evens wear but adds energy spread).
filament life 10-100 h; Freeman window: V_arc = 40-70 V, I_arc = 1-3 A, 2-mm-dia rod cathode, I_heat ~ 130 A, B ~ 0.01 T; reverse heater polarity at ~half-lifeSource, quote & tabletop applicability
The arc current is 1 to 3 A and the arc voltage just 40 to 70 V... The lifetime of the source is given by the lifetime of the filament, which is between 10 and 100 h... Changing the polarity of the filament... improves cathode lifetime.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 73
Tabletop: For a next machine: a thick rod cathode instead of thin wire is the cheapest lifetime upgrade, plus a DPDT reversing switch on the heater and an arc-hours log.
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Standard extraction/exit slit for slit-type arc sources is about 2 mm wide by 40 mm long; going longer (up to 90-100 mm) degrades current-density uniformity along the slit because of the voltage drop along the cathode.
slit ~ 2 x 40 mm typical; 100 x 5 mm max realizedSource, quote & tabletop applicability
The extraction slit is usually about 2 mm wide and about 40 mm long. Larger slits are possible, such as 90 mm, but... the current density is not uniform along the long slit.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 74, 76
Tabletop: For a cyclotron chimney only the few-mm of slit facing the dee gap matters; a ~1-2 mm wide slit is the proven starting width before puller optimization.
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PIG/Penning discharges split into two useful regimes: cold-cathode (arc >1 kV at 0.5-5 A) and hot-cathode (arc <1 kV at 1-50 A); the magnetic field barely matters above a minimum of ~0.1 T, and arc voltage rises as gas flow is cut until the arc goes unstable.
cold cathode: V_arc > 1 kV, I = 0.5-5 A; hot cathode: V_arc < 1 kV, I = 1-50 A; B_min ~ 0.1 T; high-pressure regime 0.1-100 PaSource, quote & tabletop applicability
The cold cathode PIG source with arc voltages above 1 kV and currents between 0.5 and 5 A, and the hot cathode PIG source with arc voltages below 1 kV and currents between 1 and 50 A.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 81-82
Tabletop: The reference machine's cyclotron field (>0.1 T at the center) already satisfies the PIG minimum, so a next machine's internal PIG source can trade the fragile filament for a self-heated cathode running a sub-kV, multi-ampere arc.
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Extracted current from a PIG source is proportional to arc current, at roughly 10-100 (mA/cm^2) of extracted current density per ampere of arc for extraction through the anode slit -- so beam scaling is done with the arc supply, not the extraction voltage.
j_extracted ~ (10-100 mA/cm^2) per A of arc current; ion current density at cathodes is 5-10x that at anodeSource, quote & tabletop applicability
The total extracted current of a PIG ion source is proportional to the arc current, and for extraction through the anode, about 10 to 100 (mA/cm2)/A.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 82
Tabletop: With a ~1 mm^2 chimney slit, even a 1-A arc gives ~0.1-1 mA available at the slit, orders of magnitude above the reference machine's nA beams; source output will not be the bottleneck.
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Cold-cathode PIG arcs are limited to about 1 kW per cathode before uncontrolled thermionic emission sets in; a cathode is worn out when its sputter-erosion crater depth reaches about the anode bore radius, after which the discharge goes unstable.
P_arc(cold) < ~1 kW per cathode; end of life: crater depth ~ anode bore radius; Ti best cold-cathode material, Ta if run hotSource, quote & tabletop applicability
The arc power for cold cathode operation is limited to about 1 kW per cathode... The cold and hot cathodes are worn out when the erosion crater's depth reaches around the anode bore radius.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 84-85
Tabletop: Gives a concrete inspection criterion: measure the cathode pit depth against the chimney bore each time the source is pulled, and machine spare cathode buttons in advance.
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For long life use an indirectly heated block cathode: an auxiliary filament bombards the cathode's rear with ~1-kV electrons so cathode temperature is set independently of the arc, and the cathode can be burned down completely without instability -- the standard cyclotron internal-source upgrade path.
e-bombardment heating: 0-2 kV / 0-2.5 A onto cathode rear; filament itself 50-150 A at 2-8 VSource, quote & tabletop applicability
Electrons emitted from a filament and accelerated to about 1 kV heat the cathode from the rear side... The lifetime of the heated cathode exceeds that of cold or hot cathodes.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 86, 101
Tabletop: A next machine's source can keep a small filament hidden behind a Ta block cathode, out of the hydrogen plasma, converting filament sputtering into slow self-sputtering of a thick block.
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Expect the open-filament arc to run 0.5-2 A at 100-500 V at ~1e-4 mm Hg; strike it at 0.5-1 A and 100-200 V, and set filament emission to 10-20 mA at 200-300 V bias under high vacuum before admitting gas.
arc: 0.5-2 A @ 100-500 V @ ~1e-4 torr; emission set-point 10-20 mA @ 200-300 VSource, quote & tabletop applicability
at normal operating pressures of 10^-4 mm Hg, between 1/2 to 2 amps at 100 to 500 volts will be required
Wouters, General Recommendations for Design of Small Cyclotrons — UCRL-476 (1949) — p. 6, 10
Tabletop: Directly applicable operating envelope for a simple hot-filament source at the reference machine's scale.
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Admit hydrogen so tank pressure rises by about 1e-4 mm above base while watching arc current; control flow with a long-taper needle valve, a thread-leak, or a heated palladium leak.
delta-P(H2) ~ +1e-4 torr over base pressureSource, quote & tabletop applicability
hydrogen may be admitted to the tank, 'opening' the valve until the tank pressure rises by another 10^-4 mm, meanwhile watching the arc current
Wouters, General Recommendations for Design of Small Cyclotrons — UCRL-476 (1949) — p. 6, 10
Tabletop: Directly applicable gas-flow set-point; the reference machine's parker metering valve fills the needle-valve role.
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Use an ion source filament of ~0.025-inch tungsten (about 25 A at a few volts) instead of fragile automobile-lamp filaments, and float the filament supply across a storage battery to filter ripple that vibrates the filament.
0.025 in W filament ~ 25 A dc at a few voltsSource, quote & tabletop applicability
an automobile headlight filament has been used, but the breakage has been high ... perhaps .025 in. tungsten ... A .025 in. tungsten filament requires about 25 amps d.c.
Wouters, General Recommendations for Design of Small Cyclotrons — UCRL-476 (1949) — p. 6-7
Tabletop: Directly applicable filament sizing; the modern equivalent of the battery filter is a well-filtered DC (not raw rectified) filament supply to stop magnetically driven filament vibration.
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Shield the ion-source filament from the dee's RF field with a small metal 'chimney' tube (1/4 in) and let the dee field extract ions through a small side hole facing the gap.
1/4 in chimney tube over filament, side extraction holeSource, quote & tabletop applicability
A quarter-inch tube called a 'chimney' sits on top of the filament, which shields it from the electric field of the dee. Ionized hydrogen is drawn out of a small hole.
Baumgartner, The Cyclotron Kids' 2 MeV Proton Cyclotron — Cyclotrons 2013, WE1PB05 (2013) — p. 3
Tabletop: A proven upgrade from a bare filament for a next machine: better-defined source position, less RF loading of the plasma.
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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 pASource, 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.
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Make the inner grid diameter about one-fifth of the chamber diameter and keep geometric transparency above 92%; three loops of 0.114 mm tungsten wire on a 4.2 cm sphere give 99.2% transparency.
d_grid ~ D_chamber/5; transparency = 1 - (pi*d_grid*N_loops*d_wire)/(4*pi*r^2) >= 0.92Source, quote & tabletop applicability
fusion efficiency is enhanced by transparency of at least 92 percent (Donovan). The inner grid is 99.18 percent transparent with three loops
Kovalchick, Deuterium Fusion Using Inertial Electrostatic Confinement (2012) — p. 19-20
Tabletop: The transparency bookkeeping (wire cross-section vs aperture area) is the same calculation the builder needs for any grid, mesh, or slit that their beam must pass repeatedly.
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Choose grid/electrode wire for high melting point, low sputter yield, and HIGH work function (to suppress parasitic thermionic electron current); the supply cannot tell an ion arriving from an electron leaving, so every emitted electron steals ion current from the same supply budget.
I_supply = i_ion + i_electron at fixed P_ext = V*I; maximize ion fraction by high-work-function, cool gridSource, quote & tabletop applicability
A power supply cannot differentiate between an ion reaching the cathode grid and an electron leaving it (they both appear as positive current on the ammeter).
Miley & Murali, Inertial Electrostatic Confinement (IEC) Fusion: Fundamentals and Applications (2014) — p. 135, 144
Tabletop: When the builder meters 'beam current' anywhere near a hot cathode, part of it is electrons; a high-work-function collector surface and magnetic electron suppression keep the nA readings honest.
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Thermal limit of a wire electrode: maximum steady current before sagging is I = A*eps*sigma*T^4/V (black-body balance); a 10-cm stainless grid (A~76 cm^2, eps~0.15, sag at ~1500 K) can only handle ~9.5 mA at 200 kV, so stainless caps usable power.
I_max = A*eps*sigma*T_safe^4 / V; SS: melt ~1800 K, sag ~1500 K, eps ~0.15Source, quote & tabletop applicability
Assuming that sagging occurs at ~1,500 K and equating the black body radiation rate to the input power... This gives 9.5 mA of ion current at 200 kV.
Tabletop: Same balance sizes any wire electrode, probe, or beam stop in the reference machine's chamber: compute AeσT^4 at the material's sag temperature and keep beam-power deposition below it.
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W-25%Re is the sweet-spot electrode alloy: melting ~2800 K, low sputter yield, spot-weldable and formable (unlike pure W); a stainless grid lasted under a week at power while the W-25Re grid ran 30-130 kV at 30-180 mA for >1,000 h and survived over 2 years.
W-25%Re: T_melt ~ 2800 K; validated 30-130 kV, 30-180 mA, >1000 h; pure W spot-welding needs Ni foil interlayer (Ni then limits temperature)Source, quote & tabletop applicability
The stainless steel wires previously used by Murali lasted for under a week depending on the power load. In contrast, with the W-25%Re alloy, the grid lasted for over 2 years.
Miley & Murali, Inertial Electrostatic Confinement (IEC) Fusion: Fundamentals and Applications (2014) — p. 145-146
Tabletop: W-Re thermocouple wire is commercially available in small quantities and is the best upgrade for any sputtered electrode in the reference machine's source: W durability with Ta-like workability.
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DC glow discharges are organized by the pressure-distance product pd, not pressure alone; the glow regime runs ~300-1500 V at mA-level currents, and nearly the whole applied voltage drops in the few-mm cathode sheath.
breakdown V = f(p*d) (Paschen); glow: 300-1500 V, mA currents; cathode fall occupies first few mmSource, quote & tabletop applicability
The product of pressure and distance between the electrodes (pd) is a better parameter to characterize the discharge... The voltage is mostly in the range between 300 and 1500 V, but... the current is generally in the mA range.
Tabletop: When the builder scales chamber geometry or pressure for the p-B11 test cell, keep pd constant to preserve the discharge; and remember all sputtering damage happens at the cathode sheath edge.
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Know the V-I ladder of a low-pressure DC discharge -- background/saturation, Townsend dark discharge, corona at sharp points, breakdown, normal glow (V roughly constant over decades of current), abnormal glow, then glow-to-arc when the cathode overheats -- and note the hysteresis: the glow persists below its striking condition once lit.
sequence: dark -> Townsend -> breakdown -> normal glow (V ~ const) -> abnormal glow -> arc; hysteresis on the way back downSource, quote & tabletop applicability
A hysteresis effect occurs; wherein instead of retracing the path... the discharge maintains itself in the normal glow regime... at considerably lower currents... Only then does it make the transition back to the Townsend regime.
Tabletop: Explains why the reference machine's source may need a several-kV kick to strike but then runs at a few hundred volts, and why current-limited (ballasted) supplies are mandatory to stop glow-to-arc runaway.
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In a gridded low-pressure device the ion mean free path sets ignition: at 2 mTorr the ion mfp is ~7 cm and striking voltages reach tens of kV, at 20 mTorr the mfp is ~0.7 cm and striking is easy; typical hydrogen/deuterium operation is 2-15 mTorr with breakdown at 5-50 kV.
lambda_ion ~ 7 cm @ 2 mTorr, ~0.7 cm @ 20 mTorr (H2/D2); V_strike rises as p falls; operating window 2-15 mTorrSource, quote & tabletop applicability
The ion mean free path at 2 mTorr is ~7 cm, while at 20 mTorr it is around 0.7 cm... The striking voltage increases with decreasing pressure.
Miley & Murali, Inertial Electrostatic Confinement (IEC) Fusion: Fundamentals and Applications (2014) — p. 92, 94
Tabletop: For any glow-driven ion supply in the p-B11 experiment, pressure is the ignition control: strike at higher pressure, then throttle the MFC down to the running point.
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A transparent wire cathode breaks down at ~3x lower pd than a solid cathode at the same voltage, because ions recirculate through the grid; below ~0.5 Torr-cm the discharge self-organizes into microchannels ('Star mode') whose effective transparency far exceeds geometric transparency -- so use large grid openings rather than fine mesh.
pd(solid)/pd(grid) ~ 3 at fixed V_strike; Star mode below ~0.5 Torr-cm; rigid grids practical only to ~95% geometric transparencySource, quote & tabletop applicability
For fixed Vs, the value of (pd) is seen to be about three times higher for both the spherical and the planar solid-cathode discharges than for the transparent grid-type cathode discharges.
Tabletop: If the builder builds an IEC-style p-B11 test stand, a few large openings aligned with the beam axis beat a fine mesh: fewer grid hits, higher effective transparency, longer grid life.
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To ionize low-pressure gas (1-10 microns) for a beam-mode device, add a hot filament electron emitter just outside the main electrode structure biased about +200 V with respect to ground.
filament bias ~ +200 V, located outside outer gridSource, quote & tabletop applicability
it might be necessary to include a filament or other source of electrons to ionize the deuterium at low pressures. This filament should be placed just outside of the outer grid system and biased slightly positive (~200 volts)
Hull, The Farnsworth/Hirsch Fusor — The Bell Jar, Vol. 6 No. 3/4 (1997) — p. 7
Tabletop: Matches the reference machine's hydrogen filament source philosophy: a modest positive bias (order 100-200 V) on/near an emitter sustains ionization at pressures where a self-sustained discharge dies.
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Electrically shield (insulate) the support structure of a negatively biased electrode so ions bombard only the intended electrode, not its stalk and feedthrough.
Source, quote & tabletop applicability
Care must be exercised to electrically shield (insulate) the inner grid metallic support structure so that ions will not bombard that portion of the apparatus.
Hull, The Farnsworth/Hirsch Fusor — The Bell Jar, Vol. 6 No. 3/4 (1997) — p. 7
Tabletop: Same rule protects the reference machine's Faraday cup stalk and source supports: unshielded biased metal collects spurious current and sputters.
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Do not expect filament bias voltage (tested around -90 V) to move beam current; on the Houghton machine it had no significant effect.
beam current insensitive to filament bias (tests near -90 V)Source, quote & tabletop applicability
It appears that filament bias has no effect on the beam current.
Tabletop: Saves tuning time: spend effort on dee voltage and pressure, not filament bias, when hunting current.
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With an internal fill-gas ion source there is an optimal chamber pressure band (about 1e-5 to 3e-5 Torr on the Houghton machine): current first falls then rises as pressure is lowered, and the very lowest pressures starve ionization.
operating band ~1-3e-5 Torr; highest raw current seen ~1e-4 Torr but with badly broadened resonancesSource, quote & tabletop applicability
If there is too little gas, less ionization will occur... Too high a pressure and the ionized particles will likely interact with gas inside the dee and fall out of resonance.
Tabletop: Gives the builder a target pressure window and the expected non-monotonic current-vs-pressure curve to map on their own machine.
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Add deliberate clearance between the filament and the chamber lid - Houghton milled a 0.3 cm deep circular depression into the lid specifically to prevent a repeat filament-to-lid discharge.
0.3 cm milled recessSource, quote & tabletop applicability
To make room for a filament and to avoid another electrical discharge from the filament to the lid, a 0.3 cm deep circular depression was milled out of the bottom of the upper lid.
Tabletop: In the reference machine's tight pole-gap geometry, check every HV-to-ground clearance near the median plane; milling relief pockets is cheaper than chasing sparks later.
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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 TorrSource, 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.
Tabletop: Directly sets the gas-handling operating window for the reference machine and explains a common 'no beam' failure at too-good vacuum.
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Support and connect a floating PIG anode with two 0.5 mm stainless wires fed through alumina tubes sealed with ceramic epoxy (Ceramabond) into the cathode body; a third stainless tube serves as gas inlet.
Source, quote & tabletop applicability
the anode floats inside the cathode body, being supported only by the two stainless steel wires that protrude through the alumina tubes and out the back of the cathode body.
Tabletop: An amateur-grade insulated feedthrough scheme (alumina tube + Ceramabond) the builder can reuse for chimney anodes or filament leads inside the next machine.
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A cold-cathode PIG built from an iron cathode body, ~3 kG SmCo permanent magnet, folded 0.13 mm stainless sheet anode, and iron faceplate with a 6.4 mm axial aperture delivers a continuous 1 mA H+ beam at 1 mTorr with 5.4 kV and 32.4 W.
3 kG SmCo; 5.1 cm iron cathode body; 6.4 mm faceplate hole; 1 mA H+ at 1 mTorr, 5.4 kV, 32.4 WSource, quote & tabletop applicability
generate a plasma discharge that yields a continuous 1 mA beam of positively charged hydrogen ions at 1 mTorr of pressure. This operating condition requires 5.4 kV and 32.4 W
Tabletop: A directly copyable permanent-magnet source recipe for the next machine's external or test-stand source at exactly hobby machining tolerances.
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Current-limit a PIG discharge with a series resistor (here 100 kOhm, 100 W) and always report/log the actual anode-to-cathode voltage, not the power-supply setpoint, since the resistor drops significant voltage during operation.
V_source = V_supply - I_discharge * R_ballast; R = 100 kOhm, 100 WSource, quote & tabletop applicability
Because the 100 kOhm current-limiting resistor develops a voltage drop during source operation, the ion source voltage (anode-to-cathode voltage) is reported instead of the power supply voltage.
Tabletop: Directly applicable to the reference machine's filament/arc supply metering; logging supply volts instead of electrode volts corrupts any operating-point map.
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In a compact source-in-chamber setup the pressure inside the ion source is only about 2x the chamber pressure, so simply backfilling the chamber can substitute for direct gas injection into the source.
P_internal ~ 2 x P_chamber (small chamber, direct injection)Source, quote & tabletop applicability
the pressure internal to the ion source is only approximately a factor of 2 larger than the chamber pressure... source operation has also been achieved by simply backfilling the chamber.
Tabletop: The reference machine's MFC feed into the source chimney matters most when the main chamber is well-pumped; in a small chamber the distinction between injection and backfill largely disappears.
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A PIG discharge ignites easily at 1 kV or less; usable beam appears from ~600 V (0.3 mA discharge, 21 uA target) and grows monotonically with voltage to the design point.
H2, 1 mTorr: 580 V -> 0.3 mA disch / 20.8 uA target; 5.4 kV -> 6.0 mA / 1.5 mASource, quote & tabletop applicability
the plasma discharge ignites easily at 1 kV or less for all cases and produces a continuous positively charged ion beam.
Tabletop: Tens-of-uA proton output at under 1 kV anode drive is ample for the reference machine's nA-scale accelerated beam; a multi-kV arc supply is not required to start.
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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 kVSource, 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.
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.
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For DC post-acceleration of a PIG beam, place a negatively biased suppressor electrode ~2.5 cm downstream of the source faceplate and the target ~7.6 cm beyond it; this focused a 1 mA H+ beam at only 0.4 mTorr and 10.5 W of source power with up to -30 kV acceleration.
suppressor at 2.5 cm, target at +7.6 cm, both biased negative w.r.t. grounded cathode; 1 mA at 0.4 mTorr, 10.5 WSource, quote & tabletop applicability
at a pressure of 0.4 mTorr and 10.5 W PIG source power, a continuous 1 mA positive hydrogen ion beam has been focused onto the target and accelerator voltages up to -30 kV have been investigated.
Tabletop: Template for a bench extraction test stand to characterize the next machine's source before it goes into the magnet.
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An internal cold-cathode PIG source is a low-maintenance choice: the Rutgers source runs more than 40 hours between servicings.
>40 h service intervalSource, quote & tabletop applicability
The ion source is an internal cold cathode Penning Ion Gauge (PIG) source that operates in excess of 40 hours before requiring service.
Koeth, Undergraduate Education with the Rutgers 12-Inch Cyclotron (2015) — p. 2
Tabletop: Benchmarks source lifetime for a next machine; hot filaments burn out far faster than a cold-cathode PIG at this scale.
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Separate the source's gas-fed discharge region from the main vacuum with a tight-fitting boron nitride insulator; 2.5 sccm of H2 into the chimney holds the main chamber near 4e-5 Torr against a good pump (base 8e-7 Torr).
2.5 sccm H2 -> 4e-5 Torr chamber (base 8e-7 Torr); BN insulator isolates ~1e-5 Torr regionSource, quote & tabletop applicability
With a gas flow rate of 2.5 cc/min of hydrogen, the pressure in the main vacuum chamber is around 4e-5 Torr.
Tabletop: A direct benchmark for the reference machine's MFC-vs-chamber-pressure curve; large deviations from ~1.5e-5 Torr per sccm (at similar pumping speed) indicate leaks or conductance problems.
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A cold-cathode PIG needs only a ~3 kV current-limited supply to strike and run: after striking, the arc voltage drops to whatever sustains the set current; the 1.9-3.8 mm cathode-anode gap is not a critical parameter.
strike supply 3 kV / 1 A current-limited; running arc voltage < 3 kV; gap 0.075-0.150 in non-criticalSource, quote & tabletop applicability
The cathode anode gap was between 0.075 (1.9 mm) and 0.150 (3.8 mm), and is not a critical parameter for the source's operation.
Tabletop: Relaxes the reference machine's machining tolerances on the next machine's source gap and sizes the arc supply: a 3 kV current-limited unit suffices.
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Water-cool the cathode rod and anode base of an internal PIG - copper parts melted when the source was run without cooling - and prepare cathode faces by sanding with 100-grit paper to a uniformly rough surface for reliable arc striking.
Source, quote & tabletop applicability
Water cooling for the cathode rod and the anode base are essential (some copper parts were melted when the ion source was run without proper cooling).
Tabletop: At the reference machine's much lower arc powers passive/conductive cooling may suffice, but the sanded-cathode arc-striking trick transfers directly.
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For reference, hot-filament internal sources run far harder than cold-cathode PIGs: Livingston and Jones heated a U-shaped tantalum filament with ~400 A, ran 2-6 A of arc, and extracted 150 mA of protons through a 129 mm2 slit with a 12 kV puller across a 3.3 mm gap.
Ta filament ~400 A heater; arc 2-6 A; 150 mA extracted at 12 kV, 3.3 mm source-puller gap, 129 mm2 slitSource, quote & tabletop applicability
Their cathode was a U-shaped tantalum filament, heated with about 400 amps... able to extract 150 mA using a puller voltage of 12kV and a source-puller gap of about 0.13 (3.3 mm).
Tabletop: Brackets the design space above the reference machine's filament source: proton output scales with arc current and slit area over 3+ orders of magnitude, so their nA needs are met with sub-ampere arcs.
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Chimney slit width is the dominant knob on an internal PIG's output: doubling the slit from 0.25 mm to 0.51 mm (both 5.0 mm tall, 10 degree chamfer) raised beam current ~4.4x (52 to 230 uA at 50 mA arc) at the cost of ~1.7x radial emittance.
0.010 in slit: 52 uA, 27 mm-mrad radial; 0.020 in slit: 230 uA, 47 mm-mrad (50 mA arc, 3.0 sccm, ~40 kV puller)Source, quote & tabletop applicability
The chimney with the larger slit produces a beam with a larger emittance. However, the beam is also of higher intensity.
Tabletop: Tells the builder exactly what to expect when they widen their next machine's chimney slit: current scales faster than linearly with width, emittance grows more slowly - widen until the machine acceptance is filled.
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A DC extraction test stand characterizes an internal source before installation: a puller with 12.7 mm radius of curvature holds 50 kV across a 5.0 mm minimum source-puller gap (~10 kV/mm design margin); a 2.9 mm gap held about 25 kV.
R_puller = 12.7 mm, gap 5.0 mm -> 50 kV; gap 2.9 mm -> ~25 kV (roughly 10 kV/mm)Source, quote & tabletop applicability
This puller was designed for the ion source test stand to hold 50 kV... The minimum source to puller gap is 0.196 (5.0 mm).
Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 68, 75
Tabletop: Sets the reference machine's dee-tip/puller gap voltage budget: with clean electrodes, plan on order 10 kV per mm of gap and generous edge radii.
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Prefer a slit chimney over a hole chimney for beam quality: the slit gives a flat plasma boundary and converging beam, while a hole (1.19 mm, 60 degree chamfer) gives a concave boundary, a diverging beam, ~50% larger normalized radial emittance, and half the luminosity at equal arc current.
hole chimney: 0.66 mm-mrad normalized radial vs 0.44 for slit; normalized luminosity 129 vs 264 A/(m2-sr) at 50 mA arcSource, quote & tabletop applicability
an approximately flat plasma boundary provides the best match to the experimental beams emerging from the 'slit' style chimneys... while a concave plasma boundary... for the 'hole' style chimney
Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 73-76, 91-107
Tabletop: Decides a next machine's chimney aperture style: cut a tall narrow slit, not a drilled hole, if beam brightness and predictable optics matter.
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Raising PIG arc current raises beam current sub-linearly: for the 0.25 mm slit, 50 to 450 mA arc gave 52 to 227 uA of beam while beam/arc efficiency fell from 1.0e-3 to 0.5e-3 and emittance stayed flat; luminosity still climbed 1.7 to 7.1 A/(cm2-sr).
I_beam/I_arc drops 1.0e-3 -> 0.5e-3 over 50-450 mA arc; luminosity 1.7 -> 7.1 A/cm2-sr; emittance ~constantSource, quote & tabletop applicability
the general trend of increasing arc current producing increased beam current as expected... there was no noticeable change in the emittance of the beam for different currents
Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 77-78, 81
Tabletop: For the builder: cranking arc power buys current with diminishing returns but does not spoil beam quality below ~230 uA - space charge is negligible at their nA-uA scale.
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Keep hydrogen flow at or above ~2 sccm: at normal flows (2-6 sccm, arc 50-350 mA, arc voltage under 3 kV current-limited) the cold-cathode PIG beam contained no detectable H2+, but at 0.5 sccm the arc jumped to voltage-limited mode and molecular ions appeared.
flow >= 2.0 sccm -> pure proton beam; 0.5 sccm -> mode shift (3.5 kV limit, arc drops to 90 mA) + H2+Source, quote & tabletop applicability
hydrogen gas flow rates greater than 2.0 cc/min) no H2+ ions were observed. We were able to observe H2+ ions by lowering the gas supply to 0.5 cc/min.
Tabletop: Directly actionable on the reference machine's MFC: starving the source of gas silently changes beam species; their flow setpoint should stay above the arc-mode transition.
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When simulating orbits from an internal PIG, start ions on the plasma boundary with a plasma temperature of ~35,000 K (central starting energy ~4.5 eV); this reproduces measured emittance for both slit and hole chimneys.
T_plasma ~ 35,000 K; E_start ~ 4.5 eV; flat boundary (slit) / concave boundary (hole)Source, quote & tabletop applicability
the plasma temperature that provides the best match for experimental beams is approximately 35,000 K (resulting in a central starting energy of 4.5 eV).
Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 91-107
Tabletop: Gives the builder the initial-condition recipe for any first-turn orbit simulation of their next machine's central region.
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Use a fine-taper metering valve with a vernier handle for gas admission (Series 20: Cv 0.029, 0.055 in orifice, 3-degree stem taper, 9 +/-1 turns open) so flow settings are repeatable.
Series 20: Cv=0.029, orifice 0.055 in, taper 3 deg, 9+/-1 turns; Series 30: Cv=0.16, orifice 0.125 in, taper 9 deg, 10+/-1 turnsSource, quote & tabletop applicability
Vernier knob for repeatable flow settings ... Flow Coefficient (Cv): 0.029 (Series 20) ... Stem Taper: 3 deg ... Turns to Open: 9 (+/-1)
Parker Hannifin, Series 20 & 30 Metering Valves (datasheet) — p. 1-2
Tabletop: The 3-degree-taper Series 20 spread over 9 turns gives the fine, repeatable hydrogen admission an ion source needs; log turns-open as the process setpoint.
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Never use a metering valve as the shut-off: Parker states these valves are not for positive shut-off (use a separate bubble-tight valve in series), and pressure is limited to 1000 psig upstream, 500 psig downstream.
max 1000 psig operating (downstream limited to 500 psig); elastomer limits: Buna-N -10 to 250 FSource, quote & tabletop applicability
Not recommended for positive shut-off. If bubble-tight shut-off required, the use of a Series HR Metering Valve is suggested.
Parker Hannifin, Series 20 & 30 Metering Valves (datasheet) — p. 2
Tabletop: Put an isolation valve between the gas bottle and the metering valve; forcing the tapered stem closed to seal will ruin the calibrated taper and still leak into the vacuum system.
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Run the hot-cathode source arc chamber in graphite (86-inch: 0.563-in OD graphite tube), feed 2-3 cc/min of hydrogen, and expect arc conditions of 0.5-1.5 A at 100-300 V with a 0.062 x 2.5 inch exit slit.
H2 flow 2-3 cc/min; arc 0.5-1.5 A @ 100-300 V; slit 0.062 in x 2.5 inSource, quote & tabletop applicability
The rate of flow required during operation is from 2 to 3 cc/min ... Electrons are accelerated from the filament into the arc chamber by a 100 to 300 volt potential, the normal arc current being 0.5 to 1.5 amperes.
Livingston & Boch, The Oak Ridge 86-Inch Cyclotron — ORNL-1196, OSTI 4357145 (1952) — p. 62, 64
Tabletop: Arc V-I and few-cc/min gas flow transfer almost unchanged to a small chimney source; graphite chimney/slit parts resist sputtering far better than copper or steel.
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Make the source slit geometry adjustable and treat alignment of filament-to-defining-slot, arc slit, accelerating slit, and magnetic field as the critical tune: the filament must fully cover the defining slot and the slot edge sits tangent to the arc-slit plane.
Source, quote & tabletop applicability
The alignment of the ion source with the magnetic field and with the accelerating slits is critical and is carefully adjusted to obtain best performance.
Livingston & Boch, The Oak Ridge 86-Inch Cyclotron — ORNL-1196, OSTI 4357145 (1952) — p. 64
Tabletop: Directly applicable: build a next machine's source mount with repeatable rotation/translation adjustment from outside vacuum; source-to-puller alignment is worth more beam than any power knob.
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Regulate arc voltage and arc current as two independent servo loops - hold arc voltage constant via the arc supply and hold arc current constant by trimming filament heating.
loop 1: V_arc = const (arc supply); loop 2: I_arc = const (filament temperature)Source, quote & tabletop applicability
Arc voltage and arc current can each be varied independently ... This regulates the filament temperature and thus the arc current, which is then held constant regardless of arc voltage.
Livingston & Boch, The Oak Ridge 86-Inch Cyclotron — ORNL-1196, OSTI 4357145 (1952) — p. 66
Tabletop: Directly applicable control philosophy, trivially implemented today with two small feedback supplies; a constant-current arc is what makes beam current reproducible shot to shot.
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Optimize the internal-source slit with chamfer angles of 40-60 degrees, and make the slit's axial size several times its radial size; slit shape strongly changes extracted current (calculated spread 90-850 nA between variants).
chamfer angle 40-60 deg; axial/radial slit size ratio ~ severalSource, quote & tabletop applicability
The shape of the source slit, when its axial size is several times larger than the radial one, is most frequently used... They are optimized according to the chamfer angle, which is usually 40-60 degrees.
Smirnov, The Cyclotron and Its Modeling — Phys. Part. Nuclei 52 (2021) — p. 52-53
Tabletop: Cheap, high-leverage geometry rule for the reference machine's PIG-style source: chamfer the slit edges ~45 degrees and keep it tall-and-narrow before touching anything else.
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With external axial injection, choose an injection energy (in eV per charge) below the dee voltage amplitude: the first gap crossings then rapidly enlarge the orbit, minimizing central-structure size and radial losses.
E_inj/q < U_dee (injection energy less than accelerating-voltage amplitude)Source, quote & tabletop applicability
the optimal case from the viewpoint of minimizing the radial beam losses is a mode of operation in which the value of the injection energy is less than the amplitude of the accelerating voltage across the dees
Smirnov, The Cyclotron and Its Modeling — Phys. Part. Nuclei 52 (2021) — p. 55-56
Tabletop: If a next machine ever moves to an external source and axial injection, inject at a few kV below the dee amplitude rather than pushing injection energy up for easier transport.
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With an internal ion source and cosine RF, the central region's phase acceptance is roughly the starting-phase window (-90, +20) degrees; phase slits can then select bunches down to a few RF degrees.
phase acceptance ~ (-90 deg, +20 deg) relative to peak-voltage phase = 0Source, quote & tabletop applicability
the phase acceptance of the center, as a rule, contains the particles, the initial RF phases of which do not go beyond the range of (-90; 20)
Smirnov, The Cyclotron and Its Modeling — Phys. Part. Nuclei 52 (2021) — p. 56
Tabletop: Explains why only ~30% of source output ever accelerates in the reference machine; the builder tool should launch macroparticles over this window rather than a single reference phase.
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PIG discharges split into two families: cold-cathode (secondary-emission) arcs run above ~1 kV at 0.5-5 A, hot-cathode (self-heated thermionic) arcs run below ~1 kV at 1-50 A. The cold mode has positive incremental impedance, the hot mode negative — plan the supply accordingly.
cold cathode U_arc > 1 kV, I = 0.5-5 A; hot cathode U_arc < 1 kV, I = 1-50 ASource, quote & tabletop applicability
the cold cathode PIG source with arc voltages above 1 kV and currents between 0.5 and 5 A, and the hot cathode PIG source with arc voltages below 1 kV and currents between 1 and 50 A
Wolf (ed.), Handbook of Ion Sources (1995) — p. 82
Tabletop: The reference machine's source will sit at the bottom of the cold-cathode range (tens-hundreds of mA); crossing into the self-heated regime (AMIT saw it at ~250 mA) flips the V-I slope negative, so the arc supply must be a stiff current source in both regimes.
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The arc plasma floats a few volts below anode potential and essentially the full arc voltage drops across the thin cathode sheath; each primary electron yields about 8 ions on average.
V_plasma ~ V_anode - (few V); ions per oscillating electron ~ 8Source, quote & tabletop applicability
The arc plasma is a few volts negative in respect to the anode potential and nearly the full arc voltage drops along the narrow cathode sheath ... One electron can produce about eight ions or charges on average.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 82
Tabletop: Means ion energy hitting the cathodes ~ full arc voltage (sputtering scales with it), and the chimney (anode) can be grounded to the chamber with the cathodes run negative — one floating supply only.
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Above a minimum magnetic field of roughly 0.1 T the discharge parameters barely depend on B; ignition is easier at higher field. Ordinary internal PIGs run 0.1-1 T homogeneous.
B_min ~ 0.1 T; typical 0.1-1 T; little d(V,I)/dB above thresholdSource, quote & tabletop applicability
There is little influence of the magnetic field on the discharge parameters as long as it reaches a certain minimum of roughly 0.1 T.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 82
Tabletop: The reference machine's 0.59 T and a higher-field successor's ~0.9 T are both comfortably above threshold — the PIG will ignite and run without any special field tailoring, and cyclotron field tuning won't detune the arc.
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Ion current density at the cathodes is 5-10x that at the anode wall; total extracted current is proportional to arc current, roughly 10-100 (mA/cm^2) per ampere of arc for radial extraction through the anode slit.
j_cathode = (5-10) x j_anode; I_extracted/area ~ 10-100 (mA/cm^2)/A_arcSource, quote & tabletop applicability
the ion current density at the cathodes is five to ten times the density at the anode surface ... The total extracted current of a PIG ion source is proportional to the arc current (Figure 5.6), and for extraction through the anode, about 10 to 100 (mA/cm2)/A
Wolf (ed.), Handbook of Ion Sources (1995) — p. 82-83
Tabletop: Sizing arithmetic for the chimney slit: a 0.5 x 5 mm slit (0.025 cm^2) at 100 mA arc predicts ~25-250 uA available at the slit — consistent with Forringer's measured 230-590 uA at 50-150 mA through a 0.5 mm slit.
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Arc voltage rises as gas flow drops (the arc compensates missing particles), until the discharge goes unstable and extinguishes; the practical gas window for steady operation is set from the high-flow side by pumping and from the low-flow side by arc instability.
dV_arc/d(gas flow) < 0 at constant I_arc; instability at starvation limitSource, quote & tabletop applicability
the arc voltage increases with decreasing gas flow or particle density in the discharge chamber until the discharge becomes unstable
Wolf (ed.), Handbook of Ion Sources (1995) — p. 83
Tabletop: Run current-regulated and watch arc voltage as the health/flow indicator — creeping arc voltage at fixed current means gas starvation (or a worn cathode), long before the arc actually drops out.
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Cold-cathode arc power is limited to about 1 kW per cathode by the onset of thermal emission; for higher power the source must be pulsed or accept transition to the hot regime.
P_arc,max(cold, dc) ~ 1 kW per cathodeSource, quote & tabletop applicability
The arc power for cold cathode operation is limited to about 1 kW per cathode, because of the start of thermal electron emission
Wolf (ed.), Handbook of Ion Sources (1995) — p. 84
Tabletop: The reference machine's 50-150 W arc is 10x below this ceiling — pure secondary-emission operation, cathodes stay "cold" (no filament economics), and dc operation is fine.
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Cathodes are worn out when the sputter-erosion crater depth reaches roughly the anode bore radius; beyond that the discharge destabilizes. Titanium is the best cold-cathode compromise; tantalum if the cathodes run hot. Cold mode wears faster than hot because arc voltage (hence sputter yield) is higher.
end-of-life at crater depth ~ r_anode_bore; Ti (cold) / Ta (hot) cathodesSource, quote & tabletop applicability
The cold and hot cathodes are worn out when the erosion crater's depth reaches around the anode bore radius. The discharge becomes unstable under these conditions ... Titanium has been selected as the best compromise ... If the cathodes are allowed to run hot, tantalum has been shown to be a good choice.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 84-85
Tabletop: Cathode buttons are the only consumable: a 3 mm thick disc with a ~3 mm bore anode lasts until ~3 mm of crater. Make them screw-in Ta (hydrogen, low power, may run warm) and stock spares; lifetime is hours-to-hundreds-of-hours depending on arc power, not the tens of hours a bare filament source gives.
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Wolf Table 5.5 canonical operating data, cold-cathode column: arc 1-5 kV at 1-5 A, ignition 5 kV, duty <=25%, B >= 0.4 T, gas pressure 1-10 Pa in source, gas consumption 0.2 sccm, ion current <=5 mA, anode aperture 1.5 x 25 mm, anode canal 6 mm dia, cathode 9 mm dia, cathode spacing 6.5 cm. Hot-cathode column: 0.3-1.3 kV at 5-10 A dc, ignition 3 kV, B <= 1.2 T, gas 0.2 sccm, <=25 mA, aperture 1 x 25 mm, canal 8 mm, cathode 12 mm, spacing 10 cm.
see rule; gas consumption 0.2-0.6 sccm across all PIG types in the tableSource, quote & tabletop applicability
Gas consumption (sccm) 0.2 [hot cath.] / 0.2 [cold cath.] / 0.2-0.6 [heated cath.] (Table 5.5; verified against page image)
Wolf (ed.), Handbook of Ion Sources (1995) — p. 101
Tabletop: The headline for the reference machine is the gas line — full-size accelerator PIGs run on 0.2-0.6 sccm, a 3-10x reduction from its current 2 sccm open filament feed, because the chimney confines the neutral gas where the ionization is. Dimensions scale down for a 38 mm pole gap (its chimney will be shorter than the 6.5-10 cm cathode spacings listed, which are for big-gap machines).
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Feed the gas into the anode close to the cathode(s) — it eases ignition and minimizes neutral gas flow out through the extraction slit.
gas inlet at cathode end of chimney, not at slit levelSource, quote & tabletop applicability
Gas is fed to the discharge usually through the anode close to the cathode(s) to ease ignition of the arc and to keep the neutral gas flow through the extraction slit in the anode low
Wolf (ed.), Handbook of Ion Sources (1995) — p. 81
Tabletop: Plumb the MFC line into the chimney base near a cathode (AMIT feeds through the cathode cavity itself), not into the chamber — this is where the chamber-pressure win over the bare filament comes from.
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In a heated-cathode PIG the anticathode is kept cold and collects a net electron current; more than -20 V of bias is needed to suppress it. Anticathode is usually strapped to cathode potential, sometimes left floating for space reasons.
V_suppress(anticathode) < -20 V; usual connection anticathode = cathodeSource, quote & tabletop applicability
More than -20 V is necessary to suppress this electron current ... The anticathode is usually connected to the cathode, but sometimes just floating because of space problems in some cyclotrons.
Wolf (ed.), Handbook of Ion Sources (1995) — p. 86
Tabletop: For the symmetric cold-cathode chimney just strap both cathodes together on one HV feed; a floating anticathode also works if the second feedthrough is awkward, at some cost in control.
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PIG beam energy spread is 10-50 eV — an order of magnitude worse than a low-voltage filament arc (0.2-5 eV) but irrelevant next to per-turn energy gain in a cyclotron.
dE(PIG) = 10-50 eV; typical currents 5-500 mA classSource, quote & tabletop applicability
PIG ion source 10-50 [energy spread, V] 5-500 [typical ion current, mA] (Table 2.1)
Wolf (ed.), Handbook of Ion Sources (1995) — p. 51
Tabletop: A 10-50 eV spread against a few-keV first gap is a phase-space nonissue for the reference machine; do not trade source simplicity for energy spread.
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Cold-start ignition recipe (verified across three independent sources): raise arc voltage to ~3 kV open-circuit and simultaneously boost gas flow (up to ~10 sccm); background ionization starts the discharge within seconds; the supply's current regulator (or a ballast resistor) takes over and voltage falls to the 300-2000 V running band; then throttle gas back to the operating point.
V_ignite ~ 3 kV (Wolf table gives 3-5 kV); V_run = 0.3-2 kV; gas boost then reduceSource, quote & tabletop applicability
An arc is struck by raising the arc voltage to about 3 kV and increasing the gas pressure ... is stabilized by the arc supply current regulator or ballast series resistor ... Arc currents are 1-15 amps for dc sources and higher for pulsed sources. Arc voltages are 300-2000 volts.
Clark, Ion Sources for Cyclotrons — Cyclotrons '81, Caen (1981) — p. 3
Tabletop: Corroborated by AMIT (up to -3 kV and 10 sccm, strikes in seconds, sustains <1 kV) and Forringer (3 kV/1 A Glassman in current limit). Spec the arc supply for 3 kV compliance even though running voltage is ~500-1500 V, and automate: gas up -> HV on -> detect V collapse -> gas down.
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Internal-source extraction: the anode/chimney is grounded and the dee's RF does the extraction via a puller/feeler at 30-100 kV of RF in full-size machines (10-30 kV dc for external sources with anode biased positive).
internal PIG anode at ground; extraction field = dee RF via puller; 30-100 kV RF (big machines)Source, quote & tabletop applicability
For internal sources, the anode is usually grounded and 30-100 kV of rf voltage is used for extraction with a feeler or puller extending from the dee.
Clark, Ion Sources for Cyclotrons — Cyclotrons '81, Caen (1981) — p. 3
Tabletop: The reference machine extracts with its few-kV dee — 10x less voltage than any literature machine. Compensate with a small source-puller gap (1.5-2.5 mm, cf. Siemens 2.3 mm, K100 2.9 mm) since extracted current scales ~V^1.5/d^2, and expect proportionally lower beam than published uA figures.
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PIG cathode maintenance interval in heavy service is a few hours to a day (cathode replacement plus anode cleaning); a hooded filament source in the same machines delivers a few mA of protons.
cathode service interval ~ hours to 1 day (heavy-ion, 1-15 A arcs)Source, quote & tabletop applicability
A disadvantage is the need for cathode replacement and anode cleaning at intervals of a few hours to a day.
Clark, Ion Sources for Cyclotrons — Cyclotrons '81, Caen (1981) — p. 3
Tabletop: That figure is for 1-15 A heavy-ion arcs; sputter erosion scales down with arc power and hydrogen sputters far less than argon/xenon — the Siemens PET machine (0.27 A, H2) gets 120-300 h. At the reference machine's <=150 mA expect hundreds of hours per cathode set.
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Fully-dimensioned bench PIG (Rovey): iron cathode body machined from 5.1 cm rod, SmCo magnet (~0.3 T surface field) in an SS sleeve, folded 0.13 mm SS-sheet anode cup, 3.2 mm thick iron faceplate with 6.4 mm axial exit hole — produces a continuous 1 mA H+ beam at 1 mTorr with 5.4 kV / 32.4 W, or 1 mA at 0.4 mTorr and 10.5 W with downstream focusing optics.
1 mA H+ at 5.4 kV, 6.0 mA discharge, 32.4 W, 1 mTorr; ignition <= 1 kV; 100 kOhm/100 W ballastSource, quote & tabletop applicability
generate a plasma discharge that yields a continuous 1 mA beam of positively charged hydrogen ions at 1 mTorr of pressure. This operating condition requires 5.4 kV and 32.4 W of power.
Tabletop: Existence proof that mA-class hydrogen PIG output needs only tens of watts and home-shop fabrication (spot-welded sheet anode, epoxied alumina tubes). The axial-extraction geometry differs from a cyclotron chimney but the discharge economics transfer directly.
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Rovey ballast/ignition data: discharge ignites at <=1 kV at all flows; a 100 kOhm series resistor on a 6 kV/200 mA supply stabilizes it; target(beam)/discharge current utilization is ~25% for H2 (21% He); H2 flow-to-pressure in Rovey's small system: 1 sccm -> 2e-5, 2 -> 5e-5, 3 -> 1.6e-4, 5 -> 3.5e-4 Torr.
I_beam/I_discharge ~ 0.25 (H2); ballast 100 kOhm at mA scaleSource, quote & tabletop applicability
the plasma discharge ignites easily at 1 kV or less for all cases ... a current utilization efficiency (ratio of target to discharge current) of 25%
Tabletop: The 25% utilization is for axial extraction of the whole column; radial slit extraction runs ~0.1-0.5% (Forringer) because the slit samples a sliver of the plasma. Use the right figure for the right geometry when predicting a next machine's beam.
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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 extractionSource, 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
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.
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Chimney slit machining details that matter: slits chamfered 10 deg, relieved to a 0.010" (0.25 mm) land in a 0.020" (0.5 mm) chimney wall; the K100-style round hole is 0.047" (1.19 mm) dia with a 60 deg chamfer. Slit chimneys emit a beam ~70% of slit height with a flat plasma boundary; hole chimneys emit a diverging beam from a concave boundary and ~50% larger emittance.
slit land 0.25 mm; chamfer 10 deg (slit) / 60 deg (hole); beam height ~ 0.7 x slit heightSource, quote & tabletop applicability
The chamfer in both of the slit chimneys tested was 10 [deg] ... was 0.010" deep (out of a 0.020" thick chimney wall) leaving a 0.010" [land]
Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 77, 84, 95-97
Tabletop: These are the actual machining callouts for a chimney a home shop can cut — thin land so the slit doesn't collimate away the beam, chamfer opening outward toward the puller.
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Cathode-anode gap in the NSCL/ACCEL cold-cathode source was anywhere from 1.9 to 3.8 mm and "is not a critical parameter"; cathode prep is just 100-grit sanding (early screwdriver-scratching proved unnecessary); water cooling of cathode rod and anode base is essential — copper parts melted without it.
cathode-anode gap 1.9-3.8 mm, non-criticalSource, quote & tabletop applicability
The cathode anode gap was between 0.075" (1.9 mm) and 0.150" (3.8 mm), and is not a critical parameter for the source's operation.
Tabletop: Generous mechanical tolerance — the chimney stack-up doesn't need precision fitting. But take the cooling warning seriously even at 100 W-class arc power; provide a conduction path sized for continuous arc wattage or plumb water.
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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/minSource, 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.
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.
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This cold-cathode source family operates from 0.5 T (test-stand low-field checks) to 4.5 T (Harper K100) unchanged; it needs base vacuum in the 1e-6 Torr range (gas off) to start consistently, and 2.5 sccm H2 put the test-stand chamber at 4e-5 Torr with 600-800 L/s of turbo pumping.
B operating range 0.5-4.5 T demonstrated; base vacuum ~1e-6 Torr for reliable startsSource, quote & tabletop applicability
have been used in magnetic fields as high as 4.5 Tesla in the Harper Medical Cyclotron (and as low as 0.5 Tesla during low magnetic field tests in the NSCL ion source test stand)
Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 27, 39
Tabletop: The reference machine's 0.59 T sits just inside the demonstrated envelope, and its existing turbo + 1e-6-ish base pressure meet the start requirement as-is.
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Puller geometry from the same source family: test-stand puller radius 12.7 mm with 5.0 mm minimum chimney-puller gap at 50 kV design voltage; the K100 medical cyclotron puller runs a 2.9 mm minimum gap (at ~20-40 kV RF), with the puller center deliberately offset 0.5 mm from the chimney center.
gap 5.0 mm at 50 kV; 2.9 mm (K100); offset 0.021" between chimney and puller centerlinesSource, quote & tabletop applicability
The minimum gap between the chimney and the puller is 2.9 mm [K100 geometry]
Forringer, Phase Space Characterization of an Internal Ion Source for Cyclotrons — MSU dissertation (2004) — p. 78, 85
Tabletop: Gap scales with voltage to hold gradient — at a few kV dee the builder can close the chimney-puller gap to ~1.5-2 mm to recover extraction field, still an easy gradient (<2 kV/mm) against vacuum breakdown limits.
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For orbit-code initial conditions, model ions leaving a slit chimney from a flat plasma boundary at ~35,000 K plasma temperature (4.5 eV central starting energy); hole chimneys need a concave boundary. This recipe reproduced measured emittance well enough "that construction of actual cyclotrons can proceed".
T_plasma ~ 35,000 K -> E_start ~ 4.5 eV; flat boundary (slit), concave (hole)Source, quote & tabletop applicability
the plasma temperature that provides the best match for experimental beams is approximately 35,000 K (resulting in a central starting energy of 4.5 eV)
Tabletop: Drop-in starting condition for the reference machine's central-region orbit models — start protons at 4.5 eV from a flat sheet across the slit, not from rest at a point.
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Siemens Eclipse RDS111 cold-cathode PIG complete working point at 120 uA on target: arc 0.27 A at 550 V (150 W), ignition up to -3 kV on cathodes, 5.5 sccm H2, 0.7 T field, anode slit 0.7 x 5.2 mm, puller slot 1.1 x 5.3 mm at 2.3 mm anode-puller distance, plasma column 4.0 mm dia set by collimators in a 5.0 mm anode bore, Ta cathodes 4.3 mm dia; 800 uA H- extracted (beam-on-post); rebuild interval 120 h, target 300 h.
150 W arc -> 800 uA extracted H- in 0.7 T; slit 0.7 x 5.2 mm; gap 2.3 mmSource, quote & tabletop applicability
Arc Current 0.27 A / Arc Voltage 550 V / Arc Power 150 W / H2 Gas Flow 5.5 sccm / Beam-on-Post (Extraction Current) 800 uA (Table 1)
Potkins et al., Improvements to Siemens Eclipse PET Cyclotron Penning Ion Source (2017) — p. 2-3
Tabletop: The single most relevant commercial datapoint — 0.7 T (nearly the reference machine's field), 150 W arc, sub-amp arc current, hundreds of uA extracted, 120+ hour consumable life. Note it makes H-; a positive-ion version at the same point yields substantially more H+ since H- is the minority species.
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Leave a "cool ring" between the plasma column and the anode wall: widening it from 0.5 to 0.7 mm (collimator 4.0 -> 3.8 mm) gained +6% beam; grooved molybdenum anodes gave +20% beam at -7% arc power; a cesium getter pill in the cathode gave +26% beam at -25% arc power; thoriated-tungsten cathodes were a net loss.
plasma-to-wall gap 0.5-0.7 mm (H- volume production); Mo grooved anode +20%; Cs pill +26%Source, quote & tabletop applicability
anodes made from molybdenum with circumferential groove features lowered the arc power by 7% and increased the target beam current by 20%
Potkins et al., Improvements to Siemens Eclipse PET Cyclotron Penning Ion Source (2017) — p. 3-6
Tabletop: The cool-ring and Cs tricks are H--specific (volume/surface production of the minority ion); for the reference machine's positive-ion source the transferable lessons are the material one (Mo anode fine, fancy cathode materials not worth it) and that geometry near the slit dominates output.
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Round apertures vs slits are a transmission-vs-current trade — converting the Eclipse anode/puller slits to equal-area round holes raised cyclotron transmission from 19% to 30% but cut target current from 120 to 40 uA.
round aperture = +57% transmission, -67% net current (equal area)Source, quote & tabletop applicability
Post-to-foil transmission increased dramatically (from 19% to 30%) but the total target current decreased from 120 uA to 40 uA
Potkins et al., Improvements to Siemens Eclipse PET Cyclotron Penning Ion Source (2017) — p. 3-4
Tabletop: For a machine starved of axial acceptance a hole source wastes less injected beam, but total current favors the tall slit. The weak-focusing reference machine with a 1.5" gap has generous axial acceptance — use the slit.
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Cold-cathode PIG V-I regimes (measured, AMIT): below ~250 mA arc the cathodes supply electrons by secondary emission and the impedance is high/positive; above, ion back-bombardment self-heats them into thermionic emission, the V-I slope turns negative and voltage saturates at high current. Arc power vs gas flow passes through a minimum near 4 sccm.
transition secondary->thermionic ~ 250 mA (this geometry); dP/dflow = 0 at ~4 sccmSource, quote & tabletop applicability
For arc currents below 250 mA the electrons are mainly furnished by secondary emission and the impedance is high. When the current increases, the cathodes heat up and begin to supply electrons by thermionic emission
Tabletop: If the builder keeps the arc <=150-200 mA it stays in the well-behaved positive-impedance regime where a simple current-regulated supply plus modest ballast is unconditionally stable.
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PIG thermal budget (IRANCYC-10, ~500 W total at 1.1 A discharge): cathode heads reach 1992 K from ion bombardment, anode peaks at 472 K adjacent to the exit slit, cathode thermal distortion 0.2 mm; 0.007-0.04 kg/s of 18 C water holds everything. Thermionic contribution at 1992 K is only 0.6% of the discharge current.
hot spots = cathode heads and slit region; ~0.5 kW needs ~0.01-0.04 kg/s waterSource, quote & tabletop applicability
the maximum temperature of the cathodes are 1992 K, which is far away from the cathode melting point ... an electron current of 0.00706 A at 500 V which is negligible in comparison to the discharge current of 1.10352 A
Zakerhosseini et al., Heat Transfer Study of PIG Ion Source for 10 MeV Cyclotron — IPAC 2016 (2016) — p. 1-3
Tabletop: Scale to the reference machine's ~100 W arc — cathode heads still run incandescent (they are meant to), so mount them on refractory stems; the chimney body dissipates tens of watts, manageable by a copper stalk conduction path to a water-cooled or finned feedthrough flange.
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Anode (chimney) bore optimum is 7-8 mm for a hydrogen PIG: 7 mm ID maximized electron/plasma density in simulation, 8 mm gave the highest beam current in the real KIRAMS-13; above ~9 mm secondary- electron production efficiency falls. Cathodes: Ta discs 7 mm dia x 2 mm thick; anode length 20 mm in a ~2 T field.
anode ID 7-8 mm; cathode disc ~7 mm dia x 2 mm TaSource, quote & tabletop applicability
the anode with 7 mm in inner diameter is demonstrated to be capable of producing the highest density of electrons while the 8 mm inner diameter anode gives the highest beam current density in KIRAMS-13
Mu et al., Simulation of Electron Behavior in PIG Ion Source for 9 MeV Cyclotron (2015) — p. 3, 5
Tabletop: Direct chimney-bore callout for a next machine — 7-8 mm ID copper or Mo tube, matching Ta cathode discs. At 0.59 T the electron column is fatter than at 2 T, so err toward 8 mm.
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Alignment sensitivities: an off-center cathode (relative to anode bore and B axis) produces dramatically fewer secondary electrons with shorter confinement lifetimes; extraction is optimized over a mere -0.2 to -1.5 deg of anode (slit) rotation relative to the puller (>50% extraction inside that window), with the puller 2.2 mm from the anode aperture.
cathode-anode-B coaxiality critical; slit-to-puller rotational alignment ~1 deg classSource, quote & tabletop applicability
the properly aligned configuration produces significantly more secondary emission electrons ... with the anode rotation angles from -0.2 to -1.5 degree, more than 50% H- beam can be extracted through pullers
Mu et al., Simulation of Electron Behavior in PIG Ion Source for 9 MeV Cyclotron (2015) — p. 4-6
Tabletop: Two different tolerance classes: build the chimney concentric (pin the cathode discs to the bore, machine in one setup), and provide an external rotational adjustment of the source stalk of ~ +/-2 deg with sub-degree feel for slit-to-puller aiming — set-and-lock, in-vacuum.
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A commercial 10 MeV PET-cyclotron power budget allocates 1.5 kW to the internal PIG ion source against 26 kW magnet coil and 14 kW RF; beam after the third accelerating gap is ~197 uA at 190 keV from a 40 kV dee.
P_ion_source ~ 1.5 kW (commercial); ~4% of machine wall powerSource, quote & tabletop applicability
Ion Source Power [kW] 1.5 (Table 1)
Tabletop: Sets the ceiling-class datum; the reference machine's design point (~0.1-0.2 kW) is a deliberate 10x derating of commercial practice, consistent with uA-class rather than 100-uA-class internal beam.
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A chimney over a filament converts an open e-bombardment source into a column source: thermionic electrons travel the full chimney to the median plane, ions form in the whole column, and a small aperture (1/16", 1.6 mm) facing the dee releases them into the gap with field lines naturally matched to the first orbit.
chimney aperture 1/16" (1.6 mm) toward dee (Rutgers 12-inch)Source, quote & tabletop applicability
The inclusion of a chimney placed on top of the existing design will permit the thermionic electrons to travel to the median plane, thereby generating ions in the entire column. A small aperture, 1/16 of an inch in diameter, opening towards the DEE permits ions to be drawn into the accelerating field.
Koeth, Rutgers 12 Inch Cyclotron Ion Source Studies: Part I (2006) — p. 2-3
Tabletop: The half-step option — chimney-over-filament keeps the reference machine's existing filament supply and adds gas confinement + defined emission aperture. Worth knowing it exists, but a PIG chimney gets the same geometry benefits and deletes the filament.
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A few-hundred-volt positive dee/line bias doubled the 37-inch beam current for reasons then unexplained - worth one experiment, but only where no magnetic-field region can sustain a Penning discharge (the 184-inch later required negative bias).
Source, quote & tabletop applicability
For reasons which are not clearly understood this bias usually increases the size of the beam by a factor of two or more.
MacKenzie & Waithman, R.F. System for Frequency Modulated Cyclotron — MDDC-1045 (1946) — p. 12
Tabletop: Conditionally applicable - a bipolar, current-limited bias supply on the next machine's dee lets the builder try both polarities safely and keep whichever helps beam.
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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%).
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.
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Hooded low-voltage arc ion sources with hot filaments were universal on census small machines (ANU: hooded arc, tungsten filament; BNL: hot cathode in copper arc house; Stanford: hooded arc; ISSP: hooded low-voltage) - no small machine ran a cold-cathode source.
Source, quote & tabletop applicability
Ion source, type hooded arc, tungsten filament
Howard, Cyclotrons and High-Energy Accelerators, 1958 — ORNL-2644 (1958) — p. 26
Tabletop: Strong population-level evidence for upgrading a next machine from cold-cathode PIG to a hooded filament arc; that single change is what separated 100 uA-class machines from starved ones.
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Move the ion source off-center and inject azimuthally into a dee: replacing a central open arc (3.2 mA protons at 8 in, severe dee-tip heating) with a hooded-arc source at ~1-3/4-in radius with a 1/8 x 3/4-in exit slot roughly doubled the beam to 6-7 mA and eliminated the dee-tip heating.
source radius ~1.75 in on a 20-in machine (~0.2 of pole radius); slot 1/8 x 3/4 inSource, quote & tabletop applicability
A major improvement was effected when an off-center source was installed which injected azimuthally into one of the dees.
Heusinkveld et al., Studies with a Three-Dee Three-Phase Proton Cyclotron — UCRL-3187 (1955) — p. 12
Tabletop: The geometry lesson is scale-free even though these are milliamperes of internal beam - a doubled capture fraction and cooler dee tips from source position/orientation alone; for the reference machine's filament source, radial position and slot azimuth are cheap, high-leverage experiment variables (directly relevant to a planned source-species test).
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Ion-source axial (z) position is a first-order energy and beam-quality knob: raising the 86-inch source 1.5 in (to one inch below magnetic center, accelerating slit raised the same amount) took protons from ~19 to ~24 MeV at the same radius, because the beam had been scraping the dee from an off-center start.
Source, quote & tabletop applicability
The increase in proton energy resulted from relocation of the ion source 1 1/2" upward; the source is now effectively only one inch below the magnetic center.
Tabletop: A 26% energy gain from moving the source — on the reference machine, treat filament/chimney height relative to the median plane as a tuned parameter worth systematic scans, not a set-and- forget dimension. Symmetric placement about the magnetic (not mechanical) midplane is the target.
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Give the ion source a positive mechanical registration: a bracket on the liner fixes the 86-inch source at its correct height, guarantees the same position run to run, grounds the stem, and reduces RF pickup heating of the support tube.
Source, quote & tabletop applicability
a bracket has been attached to the west side of the liner which places the ion source one inch below the center of the magnetic field. This arrangement insures that the position will be the same from run to run.
Tabletop: Cheap and directly imitable — once the optimum source position is found by scanning, capture it in a hard registration feature so it survives every source rebuild; grounding the support also kills a stray RF-heating path.
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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 radiusSource, 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.
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.)
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Match arc-slit length to dee geometry: shortening the 22-inch ion-source arc slit from 2.5 in to 0.5 in increased the ratio of accelerated beam power to ion-loading power, as predicted — a long emission slit feeds ions the dees cannot accept and just loads the RF.
Source, quote & tabletop applicability
the ion source arc slit was shortened from 2 1/2" to 1/2". Thereafter the ratio of accelerated beam power to ion loading power was increased, as predicted.
Tabletop: On a tabletop machine where every watt of RF matters, an oversized source aperture wastes drive as ion loading; try a shorter emission slit on the reference machine's source and watch accepted beam per unit dee loading, not raw source output.
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Negative dee bias can substitute weakly for an accelerating slit: on the 22-inch, increased dee bias raised full-radius beam by up to 30% — but only with no accelerating slit mounted; with a slit the effect vanishes, and the slit outperforms the optimum bias.
Source, quote & tabletop applicability
an increase in bias potential on the dees increases the beam accelerated to maximum radius by a factor of as much as 30% when the cyclotron is operated without an accelerating slit (rf) mounted on the dee.
Tabletop: Worth a cheap experiment on the reference machine (a DC bias supply on the dee), but the ORNL conclusion is that geometric phase selection (a slit) beats electrostatic tricks — put the effort into the puller/slit geometry first.
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Make ion-source position adjustable from outside while the machine runs: the 86-inch added a Selsyn-driven rotator to optimize source orientation during operation, and 63-inch experience found source-to-field alignment "extremely critical", forcing external adjustments — manual set-and-pump-down positioning loses the optimum.
Source, quote & tabletop applicability
The alignment of the source with the magnetic field is extremely critical, as was expected, and makes it necessary to provide for external adjustments of the ion source.
Tabletop: Strong design input for a next machine: budget at least one live source degree of freedom (rotation or z) through the vacuum wall — both ORNL machines retrofitted it after finding the optimum could not be reached blind. On the reference machine, even a graduated feedthrough beats vent-adjust-pump iteration.
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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.
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+++.
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.
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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 lossSource, 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.
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.
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Central-region orbit centering couples source radial position to dee voltage: with the Davis axial source confined to r < 2.5 in, the machine is forced to comparatively low dee voltages (20-30 kV) so the first-turn radius matches the available source position and the orbits stay centered — dee voltage is set by geometry, not by available RF power.
first-gap geometry fixes V_dee; r_1 ~ sqrt(q*V_dee*m)/(q*B) must fit source/puller radiusSource, quote & tabletop applicability
the ion source position is limited to a maximum radius of 2.5 inches. This forces operation at comparatively low dee voltages (20-30 kv) in order to center the orbits.
Tabletop: The design logic transfers directly to a next machine's central-region layout: pick dee voltage and source-puller radius TOGETHER from the first-orbit geometry. It also cuts the other way for the reference machine's 5-13 kV upgrade: raising dee voltage moves the optimum source position outward — re-scan source position after the RF upgrade.
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Anchor the vacuum design to the ion-source gas load: their 200 ml/hr (NTP) maximum injection = 0.042 liter-mm/sec (~0.04 torr-l/s), which against the effective pumping speed set the achievable operating pressure of ~4e-6 mm Hg.
200 ml/hr NTP = 0.042 liter-mm/sec; P_operating = Q_source/S_effective + P_pumpSource, quote & tabletop applicability
If 200 ml/hr is considered as a maximum rate of gas injection, this results in ... 0.042 liter-mm/sec.
Foss et al., Cyclotron Component Design Technical Reports — TID-454 (1952) — p. 136
Tabletop: The same arithmetic the builder runs with the MFC - P = Q/S plus pump ultimate. A 0.1-1 sccm hydrogen feed is 1.3e-3 to 1.3e-2 torr-l/s; divide by the honest effective speed at the chamber to predict running pressure before touching hardware.
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Control the ion-source ground connection deliberately — an ungrounded source floats toward the accelerating-slit (dee) potential, substantially changing the first-gap optics and widening the measured turn spacing toward no-slit theory; a floating source is a different machine configuration, not a small perturbation.
Source, quote & tabletop applicability
leaving the ion source ungrounded has a very substantial effect, since it then floats nearer the potential of the accelerating slit which is attached to the dees.
Cohen, Spatial Distribution of Current on an Internal Cyclotron Target — ORNL-1348 (1952) — p. 9
Tabletop: Direct lesson for the reference machine's central-region debugging — the source body's DC potential is a real optics knob (or a real gremlin). Verify the filament/chimney ground path is defined and logged; an intermittent source ground would masquerade as day-to-day beam irreproducibility of exactly the kind ORNL-1347 warns about.
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Investing in a well-collimated, well-defined injected beam pays off downstream: resonances that attenuated the poorly defined beam were traversed cleanly once injection quality improved.
Source, quote & tabletop applicability
It is now possible to accelerate the beam through the difference-coupling resonance vr - vz = 1 without attenuation, even without the horizontal magnetic field compensated.
Oak Ridge National Laboratory, A Proposal for the Mc² Isochronous Cyclotron — ORNL-3540 (1963) — p. 285
Tabletop: Scale-free: central-region collimation and source definition (a planned source-species test on the reference machine) buy margin against every downstream loss mechanism; fix beam quality at birth, not at radius.
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Keep any dc injection potential below the dee voltage: with dees limited to 10 kV, injection potentials over 10 kV decelerated ions in the gap between the accelerating electrode and the dee; the fix was to raise the dee-side capability (redesign for at least 20 kV dee-to-ground) before raising injection further (22-inch dc-injection test unit).
V_inject < V_dee, else the electrode-to-dee gap deceleratesSource, quote & tabletop applicability
Since the dee voltage in the experimental unit was limited to 10 kv, application of injection potentials of over 10 kv resulted in deceleration of ions between the accelerating electrode and the dee.
Tabletop: Any reference-machine or next-machine source-bias or puller experiment must respect the same ordering - source extraction potential is bounded by the rf accelerating potential actually available at the first gap, or the first gap runs backward.
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In a high-potential arc source for multiply charged ions, electrode alignment with the magnetic field is critical, and feeding gas collapses the mean electron energy by flooding the arc with low-energy secondaries — high arc voltage alone does not buy energetic electrons (ORNL fundamentals test source, 1-20 kV).
Source, quote & tabletop applicability
The alignment of the electrodes with the magnetic field is critical. High energy electrons are obtained when no gas is fed to the chamber, but when gas is introduced the average electron energy is greatly reduced
Tabletop: For the reference machine's filament source (and a planned source-species test) the lesson is that arc electron energy is gas-pressure-coupled - lowering flow raises mean electron energy, which shifts the H+/H2+ balance; align source slits to B before blaming the arc supply.
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Ion-source output scales roughly linearly with effective slit length: two arc apertures of identical 3/32-in. width but 1/2-in. vs 2-5/8-in. length gave 35 vs 170 mA at identical arc (150 V, 2 A) and 10 kV extraction — to first order, lengthen the slit to buy current (22-inch cyclotron).
I_source ~ proportional to slit length at constant width, arc, and extractionSource, quote & tabletop applicability
The output of the ion source was found to be approximately proportional to the effective length
Tabletop: The reference machine's chimney-slit geometry is a free knob - but ornl-1339 (same machine, five quarters earlier) showed arc-slit LENGTH also feeds z-wise beam loss, so pair any slit lengthening with the z-distribution probe check.
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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 dependentSource, 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
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.
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DC accelerating-electrode geometry for a cyclotron source is an empirical search: geometries cannot be calculated (plasma boundary plus rf field), and of several dc electrode geometries tested on the 44-inch, NONE beat the standard rf accelerating electrode to full radius — budget for iteration and keep the plain rf gap as the benchmark.
Source, quote & tabletop applicability
Direct-current accelerating electrodes of several geometries have been tested, but none were found to accelerate the proton beam to maximum radius as well as the standard type of r-f accelerating electrode.
Tabletop: A caution for any puller-electrode or biased-extraction scheme on the reference machine - after four quarters of trials (ornl-1269 through -1531) ORNL's dc injection still lost to the ordinary rf gap; keep an unmodified configuration as the control in every source A/B test.
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D(d,n)He3 and T(d,n)He4 are EXOENERGETIC — they run at very low bombarding energy (Cockcroft- Walton scale), so any deuterium in the source gas or beam-loaded surfaces makes neutrons with no threshold protection; every other common neutron-producing reaction is endoenergetic.
D(d,n)He3 Q=+3.27 MeV, T(d,n)He4 Q=+17.6 MeV -> no energy threshold; all common (p,n)/(gamma,n) are threshold-gatedSource, quote & tabletop applicability
Two of these reactions, the D(d,n)He3 reaction and the T(d,n)He4 reaction are exoenergetic and can be initiated at very low energies. Thus these two reactions can be produced in small Cockcroft-Walton accelerators.
Tabletop: THE loophole in the "sub-MeV machines make no neutrons" argument: natural hydrogen is ~150 ppm deuterium, and D accumulates in beam-loaded surfaces, so a D-on-D source term exists in principle on any hydrogen machine. It keeps a neutron survey requirement honest even though the expected yield at tabletop beam densities is tiny.
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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/secSource, quote & tabletop applicability
stopping the beam at r < 10 in. radius in graphite targets. This avoids neutron production and induced cyclotron radioactivity
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.
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Motion feedthroughs are a seal failure class of their own: chevron-stack elastomer seals on the source's radial and azimuthal drives were unreliable and short-lived; the durable replacement was two simple 1/4-inch cross-section O-rings, each in a polished, close-tolerance machined adapter ring properly fitted to the housing.
Source, quote & tabletop applicability
The Buna N, chevron shaped vacuum seals between the cyclotron accelerator tank and the radial and azimuthal drive mechanisms ... were unreliable and displayed a short life expectancy.
Tabletop: For sliding/rotating shafts into the chamber, dual O-rings in polished glands (surface finish and land tolerance doing the real work) outlast fancier stack packings; seal geometry matters less than the finish it rides on.
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Optically re-align the ion source to the median plane after every removal: NRL treated reinstallation as a survey operation, aligning the discharge aperture (0.09 x 0.50 inch slit) to the magnetic median plane and the dee electric field before pumping down.
Source, quote & tabletop applicability
the ion discharge aperture (0.09" x 0.50") was optically aligned with respect to the median plane of the cyclotron magnetic field and the electric field of the dee.
Tabletop: Source aperture height and tilt relative to the median plane set first-turn survival; make re-alignment after source maintenance a fixtured, measured step (scribe lines, a sighting jig, or a depth gauge) instead of trusting bolted repeatability.
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Sputter-yield systematics (Scaife, Hanley & Purser): threshold 10-40 eV; yield rises exponentially from ~100 to ~1000 eV; nearly linear above 1 keV; maximum near 25 keV for conductors (50-60 keV dielectrics), plateau beyond. At the 20-keV working point, yields run 2-10 atoms/Ar ion (silver ~9.5, refractory metals ~2) — and yields rarely differ between materials by more than ~10x, unlike evaporation rates.
yield max ~25 keV (conductors) / 50-60 keV (dielectrics); 2-10 atoms per 20-keV Ar+; Kr ~2x, Xe ~3x the Ar yield on conductorsSource, quote & tabletop applicability
At focused ion beam energies, sputter yields between 2 and 10 atoms per argon ion are typical.
Tabletop: The keV-yield plateau means any small ion gun in the 5-25 keV range is a usable deposition tool; choose Ar for economy, Kr/Xe when a 2-3x rate matters more than gas cost.
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Working numbers for a focused-ion-beam sputter rig (Scaife et al.): 2 mA of 20-25 keV Ar+ from a von Ardenne-type duoplasmatron through an einzel lens (beam kept under ~30% of lens diameter to dodge spherical aberration) erodes ~50 ug/sec total and deposits ~20 ug/cm2/min of Ti at 2.5 cm; usable targets from ~10 mg of source material; ~10% thickness uniformity over a 30-degree included angle statically, better with source/substrate rotation; deposition falls as 1/d^2 and the sputtered-atom lobe is slightly narrower than cosine, peaked near the source normal.
2 mA @ 20 keV Ar+ -> ~50 ug/s erosion, ~20 ug/cm2/min Ti at 2.5 cm; beam diameter <= 0.3 x einzel lens diameterSource, quote & tabletop applicability
A typical deposition rate for substrates located 2.5 cm from the sputtering source is 20 ug/cm2/min. of titanium.
Tabletop: Calibration point for sizing any home sputter-deposition scheme — mA and tens of keV, i.e. small-accelerator ion-source technology, not exotic hardware; a boron deposition run for a 100 ug/cm2 target is minutes, not days.
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For long uninterrupted deposition runs and reactive process gases, a cold-cathode Penning source beats a duoplasmatron: no filament to burn out, 165 h of stable output (0.2% stability at 0.58 mA) demonstrated, chemically resistant to O2/N2 operation, and total source power under 30 W — no cooling circuit needed.
PIG end-extraction source, 120 mm dia x 70 mm; up to 2 mA Ar; energy spread 40-80 eV; gas consumption 1-5 std-cm3/min; <30 W totalSource, quote & tabletop applicability
the source ran with a stable ion beam intensity for 165 hours without any trouble (Baumann & Wirth, "A Heavy Ion Sputtering System with a Penning-Ion-Source")
Tabletop: A documented small PIG design point (geometry, discharge mode, gas flow, stability) from outside the cyclotron literature — the filament-free argument is the same one that favors PIG sources inside a cyclotron.
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Load titanium with hydrogen (or deuterium/tritium) by heating to ~650 C in sub-atmospheric purified gas: outgas at 800 C in vacuum first, pass the gas through a deoxygenating cartridge AND a liquid-nitrogen trap (without the trap absorption simply fails), and meter the uptake as a pressure drop in a known volume; ~2 h absorb-and-cool per batch, reversible by pumping at 800 C.
absorb at ~650 C sub-atmospheric; outgas 800 C; uptake = dP * V_system at STP (example - 0.817 of available gas absorbed, 130 cm3 per cone)Source, quote & tabletop applicability
The trap is essential; the gas is not absorbed otherwise (Gursky & Sherwood, "Hydriding of Titanium Cones for a Sputter-Ion Source")
Tabletop: The bench recipe for making Ti-H/Ti-D loaded pieces — hydride targets or gas reservoirs — with nothing but an RF or furnace heater, a differential gauge, and scrupulous gas drying.
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The saddle-field ion source is the cold path to sputtered targets: its beam carries a high fraction of energetic neutrals (sputters insulators as well as conductors), focuses to ~2 mm (small isotope quantities), and heats the evaporant only ~10 C — no damage to substrate or release agent, so substrates can sit very close for high collection efficiency; no magnetic field, electrostatic only (G. Thomas, ANL).
Source, quote & tabletop applicability
a cold filament which produces a temperature rise of the evaporant of only ~ 10 C
Tabletop: The commercial gun class (Ion Tech FAB11NS type) is bench-scale and vacuum-modest — the natural route to boron and refractory films for targetry without an e-gun; neutral-beam operation also suits insulating targets that would charge under ion-only sputtering.
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A passive magnetic mirror made from a 1/8"-diameter steel bearing ball inserted at the top of the arc hood reflects electrons streaming up the arc channel (mirror cone sin^2(theta_c) = B0/Bmax): a one-part, zero-power upgrade that converts a hooded-arc filament source to reflex (electron-oscillating) operation inside the cyclotron's own field.
sin^2(theta_c) = B0/Bmax (electrons outside the cone reflect; Spitzer 1956)Source, quote & tabletop applicability
a magnetic mirror built into the upper end of the arc hood by the simple insertion of a steel bearing ball 1/8" in diameter.
Tabletop: DIRECT and nearly free for any filament hooded source running in the main field: a bearing ball is stock hardware and the hood already exists. This is the halfway house between a plain filament arc and a cold-cathode PIG — same electron-reuse physics, no second cathode, no separate supply.
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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.
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.
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.
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Reflex electron economy: with electrons oscillating between the magnetic mirror above and electrostatic repulsion from the filament structure below, the arc current required for a given hydrogen ion yield fell severalfold. Each trapped electron ionizes on many passes instead of one transit.
Source, quote & tabletop applicability
The arc current required to produce a satisfactory current of hydrogen ions has been reduced severalfold, presumably because the electrons oscillate, being reflected by the magnetic mirror at the top and by electrical repulsion from the filament structure below.
Tabletop: The physics argument for reflex geometry at any scale — the same multiple-pass ionization a PIG buys with two cathodes, obtained here with one filament, its own space charge, and a ball. Severalfold less arc current means severalfold less filament drive, heat, and gas decomposition in a source the size of a thumb.
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Filament life scales strongly with required emission: cutting the needed arc current severalfold (via reflex operation) let the filament run cooler, stretching typical 60-mil tungsten hairpin lifetimes of 15-30 hours to an intact-though-thin filament at 109 hours. Fixing electron economy is a filament-lifetime fix, not just a power fix.
lifetime 15-30 h at full emission -> >109 h severalfold-reduced emission (same 60 mil W hairpin)Source, quote & tabletop applicability
Typical lifetimes of filaments had ranged from 15 to 30 hours. The first filament installed in the new source was intact, though thin, when removed after 109 hours of operation.
Tabletop: Directly answers the standing filament-source maintenance complaint: a 3-7x life extension from a passive part is worth more per run-hour than any filament-material change. Tungsten evaporation is brutally steep in temperature, so every ampere of arc current not needed pays back in hours.
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Mirror-assisted source behavior is geometry-sensitive and was not understood even by its inventor: the identical steel-ball mirror transplanted into a second hooded source failed outright, the only obvious difference being the hairpin filament's plane parallel to the cyclotron field instead of perpendicular. Test the trick on your geometry; do not assume transfer.
Source, quote & tabletop applicability
is mounted with its plane vertical, parallel to the magnetic field of the cyclotron, rather than perpendicular as in the first source.
Tabletop: An honest negative result from 1961 that still stands: the electron injection angle into the mirror (set by filament orientation relative to B) decides whether electrons are inside or outside the loss cone. Plan the mirror experiment as an A/B test with the glow diagnostic, and try filament orientation as a variable if the first try fails.
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Shrink the hood extraction opening to cut source gas flow into the tank — 1/32" x 3/16" sufficed for protons/deuterons here and measurably lowered tank pressure — but expect the slit to erode: within days it had enlarged in the direction of ion rotation. Slit wear is a consumable-maintenance item; inspect and re-measure it.
hood opening ~1/32" x 3/16" (0.8 x 4.8 mm) for H/D; helium source used ~1/8" x 3/8"Source, quote & tabletop applicability
after a few days of operation, it was found to have become somewhat enlarged in the direction of ion rotation.
Tabletop: Two rules in one: (a) the chimney slit is the gas throttle — sizing it small is the cheapest pumping upgrade a small machine can get; (b) the asymmetric erosion (beam-side, along rotation) is both a wear mechanism and an inadvertent beam diagnostic showing where first-turn ions strike the hood.
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Hooded-arc operating envelope on a 27" machine, 7-14 kG: arc currents to 2 A and arc voltages to 250 V were used, but deuterium ran on about 0.75 A at about 100 V — and pushing arc current from 1.0 to 2.0 A bought only a relatively small beam increase. Run at the knee of the yield curve, not at maximum arc.
deuterium: ~0.75 A / ~100 V sufficient; beam saturates between 1 and 2 A arc; B = 7,000-14,000 gauss (NOTE: "deuterium" is a handwritten correction over typed "hydrogen" on the page)Source, quote & tabletop applicability
Arc currents up to 2 amperes and arc voltages up to 250 have been used. For deuterium operation a current of about 0.75 amperes and a voltage of about 100 are usually sufficient.
Tabletop: Concrete supply-sizing anchors: ~100 W of arc fed a 27" machine's proton beam. The saturation observation is the operating doctrine — beyond the knee, extra arc current buys filament wear and gas load, not beam. Find the knee on your own source and park below it.
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Optimize the source per species rather than forcing one design: the H/D mirror source gave only ~1/10 the alpha beam of the dedicated helium source (also hooded — a tantalum button on a quartz spacer atop a tantalum-tubing hood, with a larger ~1/8" x 3/8" opening). Ionization economy, hood material, and slit size that win for one gas can lose for another.
Source, quote & tabletop applicability
Cyclotron beam currents were found to be of the order of 1/10 those obtained with our standard helium ion source, which is also of the hooded type
Tabletop: Mostly a scoping warning for any future gas change: a source tuned for hydrogen is not a universal source. The tantalum-button-on-quartz construction detail is also this collection's only sketch of a helium-specific hooded source, useful if alphas are ever on the menu.
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Central spikes: a cone-topped cylinder at the magnet center (UW: 1.5-in radius, 1/4-in cylinder + 1/4-in cone height, essentially filling the available axial space) produces "a sharp increase in the induction at the center of gap without producing a minimum anywhere in the radial dependence" — adopted after University of California reported a remarkable beam-current increase on the 184-inch from such spikes. Even undersized spikes (largest possible was still below optimum) were judged worth installing.
Source, quote & tabletop applicability
The function of the spikes is to produce a sharp increase in the induction at the center of gap without producing a minimum anywhere in the radial dependence.
Tabletop: A central field bump gives axial focusing in the first turns, where small machines lose most of their beam. A machined center button is one of the cheapest beam-current experiments available to the reference machine or a next machine — the no-minimum constraint is the part that takes care.
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Design vacuum locks so consumables and the whole source can be changed without venting: the UW ion source has a filament lock (replace the filament without breaking tank vacuum) AND a source lock — a heliarc-welded aluminum box with a swinging toggle- clamped gate — through which the entire source assembly withdraws upward on a guide track; three adjusting screws on a sylphon position the source in both planes from outside; the lock's 4-in glass viewing window carries a hinged brass shutter so metal vapor from the arc cannot coat it.
Source, quote & tabletop applicability
the filament may be replaced without breaking the vacuum of the tank proper.
Tabletop: The reference machine's filament-change downtime is this exact problem, solved in 1951: a small gate-valved source lock plus an external sylphon/bellows positioner turns a half-day vent cycle into a minutes-long swap and adds live source alignment — high payoff on any filament-eating small machine. (The shuttered viewport is a free detail worth stealing.)