Calculators
Interactive design calculators for small cyclotrons. Each one runs entirely in the browser — nothing is sent anywhere — and each page derives the formulas it uses, states its assumptions and limits of validity, and cites the standard references the formulas come from. Sensible defaults are prefilled so every calculator shows a worked example the moment it loads.
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Cyclotron Energy
Beam energy, resonance frequency, magnetic rigidity, and particle speed from field, radius, and particle — with a check on when relativity starts to matter.
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Path Length & Turns
Energy gain per turn, turn count, total spiral path length, and orbit separation from the dee voltage — the numbers behind vacuum and extraction requirements.
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Vacuum & Beam Survival
Mean free path and estimated surviving beam fraction versus pressure, residual gas, and path length; what pressure keeps losses under 10%.
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Magnet Power
Amp-turns required for a gap field, and coil dissipation from either a known winding or a copper mass budget — with honest saturation limits.
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Coil Geometry
Outer diameter, conductor length, hot and cold resistance, and copper mass of a layer-wound magnet coil.
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Lid Deflection
Center deflection, peak stress, and safety factor of a circular vacuum chamber lid under atmosphere, for O-ring and bolted edges.
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Dee Capacitance & RF Matching
Estimated dee-to-liner capacitance, the inductance to resonate it, and an L-network to match the tank to a 50 Ω source.
Coming later: builder tools
A second phase will add end-to-end design tools that chain these calculators together — a cyclotron builder that walks from target energy to a consistent magnet, RF, and vacuum specification, plus dedicated magnet, chamber, and RF-matcher designers. The single-purpose calculators above are the building blocks.