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I am designing a particle accelerator for a class. I want to know how tight of a turn an accelerator pipe can make; is there a defined maximum? Is there a calculation that needs to be made considering the type of particle/energy of the particle/magnets available?

  • Have you done much reading into how particle accelerators work? –  Oct 08 '18 at 16:22
  • Related: https://www.popularmechanics.com/science/a23151/how-particle-acceleraters-are-designed/ –  Oct 08 '18 at 16:26
  • Related: https://physics.stackexchange.com/questions/62/why-is-the-lhc-circular-and-27km-long – user190081 Oct 08 '18 at 16:41
  • The first cyclotron was 5 inches in diameter. The 11 inch cyclotron exceeded 1MeV (protons). – Jon Custer Oct 08 '18 at 16:50
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    Low-energy accelerators (cyclotrons and synchrocyclotrons) don't even have "pipes," per se. Particles are accelerated on a spiral trajectory in a cylindrical cavity within a pair of D-shaped electrodes ("dees"). – probably_someone Oct 08 '18 at 17:11
  • For high-energy accelerators, my answer here may be a start. – Chris Oct 10 '18 at 21:25

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Here is a hint: consider the Lorentz force and the centrifugal force. Those laws (for classical mechanics) are sufficient, it probably doesn't apply for particles near the speed of light.

Chris
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