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The Cyclotron Self-Study Shelf

A serious cyclotron education can be assembled almost entirely from free materials. The field publishes its school materials and conference proceedings openly, several standard textbooks are free from their authors or publishers, and the classic machine reports hosted here each carry a written public-domain rationale on their own document pages. What the free material lacks is an order. This shelf supplies one: three levels, from a first mental model to design-tool fluency, each ending with a self-test that says whether to move on. It is a reading order over things that already exist — the site's own guides, the hosted classics, the calculators, and free external texts — not a course of its own.

How the shelf works

Each level assumes the one before it; enter wherever the previous level's self-test already feels easy. Every external link points at the publisher's or author's own copy, an open-access edition, or the Internet Archive's lending program, and its access model is stated where it appears. Access modes change; a link that stops working is worth reporting. The annotated descriptions of the external resources live on the external-resources page; this page only puts them in order. Throughout, the Design Guide is the standing reference to keep open while reading, not a rung in the sequence.

Level 1: conceptual

The goal at this level is a correct mental model: what a cyclotron is, what it is for, what its hazards are, and why the classical machine has an energy ceiling. No prerequisites; secondary-school science is enough.

  1. The first four pages of the site's introductory path, in order: How a Cyclotron Works → History → Applications → Safety.
  2. Wilson & Littauer, Accelerators: Machines of Nuclear Physics (1960), the classic popular-level book on the whole accelerator family, borrowable through the Internet Archive's controlled digital lending (a free account and a timed loan).
  3. Cyclotrons!, the nine-part video course built around the Rutgers/Maryland 12-inch machine, watched in episode order — it dissects one real machine subsystem by subsystem (annotated entry, with the episode guide, under video lectures).
  4. Checkpoint: work through the examples on the cyclotron energy calculator.

Self-test. Move on when you can: explain why the classical cyclotron has an energy ceiling (relativistic detuning against a fixed RF frequency), and use the energy calculator to show what a 1 MeV proton machine needs — the energy fixes the product of field and radius, so choose one and solve for the other.

Level 2: working undergraduate

The goal at this level is to be able to follow a real design: read a machine report and check its numbers subsystem by subsystem. It assumes calculus and introductory electricity and magnetism.

  1. The decision pages: So You Want to Build One, Should You Build One?, and Choosing Your Machine.
  2. The subsystem guides, in the order the subsystems depend on each other: magnet design → ion sources → vacuum → RF and dee coupling → beam measurement → shielding. This is a reading sequence rather than a construction or commissioning procedure: on a real machine, shielding, interlocks, and regulatory review are planned before first beam, not after — see safety and the shielding guide itself.
  3. The hosted classics as primary texts: UCRL-476, General Recommendations for Design of Small Cyclotrons first, because it is short and prescriptive; then ORNL-1196, The Oak Ridge 86-Inch Cyclotron as the complete worked machine; and TID-5215, Magnets and Magnetic Measuring Techniques alongside the magnet guide.
  4. External texts. Core: Humphries, Principles of Charged Particle Acceleration (free from the author) — the chapters on particle dynamics, magnets, and cyclotrons. Worked examples: the Cyclotron Kids 2 MeV design report — on this shelf as a worked design document to study, not a project suggestion: a 2 MeV machine is well past the tabletop hazard class in prompt radiation and activation thresholds — and the Houghton College characterization thesis as the measurement-side example. Optional: the one purchase item on this shelf, Livingston & Blewett, Particle Accelerators (1962), the comprehensive machine-era text, has no legitimate free copy: the Internet Archive scans offer print-disabled access only, without general lending. Treat it as a used-bookstore or interlibrary-loan item.
  5. Checkpoints: the path length & turns, vacuum & beam survival, magnet power, and dee capacitance & matching calculators, each against a machine from the reading.

Self-test. Move on when you can: derive the classical (non-relativistic) resonance condition f = qB/2πm, then compute f for a named census machine from its published field — for the machine's stated species and charge, at the fundamental harmonic, using the average field — and compare with the published RF frequency; where they disagree, work out which of those assumptions failed. Label whether each number is a design value, a bench measurement, or an operating value; "not stated" is a valid answer, and noticing that it is not stated is part of the exercise. Check the arithmetic with the energy calculator.

Level 3: pre-professional

The goal at this level is to be able to contribute to a design: carry the beam physics, read the professional literature, and produce field maps and orbit calculations of your own. It assumes comfort with the level-2 material and a computer you can install software on. The core is the beam-physics guides, one spine text, and the tooling rung; the CAS volumes and the literature layer are reference material, marked as such below.

  1. The beam-physics guides: beam dynamics → beam quality → beam extraction.
  2. Core: one spine text, read cover to cover — Wiedemann, Particle Accelerator Physics, 4th ed. (CERN open-access edition, CC BY) for the physics-track reader, or Humphries, Charged Particle Beams (free from the author) for the builder. Both are free; picking one is what keeps the workload honest.
  3. Reference: the CERN Accelerator School proceedings — the Fifth General Accelerator Physics Course, CERN 94-01 (DOI 10.5170/CERN-1994-001, CDS record 235242), then the Small Accelerators school, CERN-2006-012 (DOI 10.5170/CERN-2006-012, CDS record 813710), the CAS school volume aimed at small machines. (cds.cern.ch refuses automated fetchers but loads normally in a browser.) The cyclotron lectures are catalogued individually in the library: Magnets for Cyclotrons, Injection and Extraction for Cyclotrons, Extraction from Cyclotrons, and the CAS 2015 cyclotron magnetic-design lectures on arXiv.
  4. Core: the tooling rung — Free Modeling & Simulation Tools end to end, installing FEMM and Poisson Superfish; the classic companion is the model-magnet and orbit-computation collection. For the magnet itself, Tanabe, Iron Dominated Electromagnets (SLAC-R-754), with the companion USPAS lecture slides (4, 6, 8, 9).
  5. Reference: the literature layer — JACoW for the Cyclotrons conference series (free full-text proceedings back to 1959), and the USPAS course-materials archive for topical courses (uspas.fnal.gov also refuses automated fetchers; open it in a browser) — this is also where the introductory lecture set from MIT's 8.277 course lives (the course has no MIT OpenCourseWare page; USPAS hosts the materials, e.g. Cyclotron Basics). One concrete task anchors the browsing: find the most recent Cyclotrons-conference paper about a machine at the scale of interest, and trace one of its citations. From the hosted classics, ORNL-2648 for AVF/isochronous design and ORNL-3540 for shielding — 1960s design methodology, read alongside the shielding guide, which frames what current practice adds; dose limits, source terms, and review are current-regulation questions.
  6. Checkpoints: the coil geometry and lid deflection calculators.

Self-test. Move on when you can: produce a FEMM field map of a small H-frame magnet, track orbits in it with a tracker the modeling-tools guide documents — a self-written median-plane integrator or OPAL-cycl — and show three outputs: the field map, an orbit plot demonstrating phase slip against a fixed RF frequency, and a sentence on where the phase slip comes from. The 2-D map is a learning exercise; a real design also needs 3-D fringe fields, median-plane symmetry checks, and validation against measurement. The modeling-tools worked examples show the pipeline.