Background
This calculator takes as inputs maximum particle energy
![Rendered by QuickLaTeX.com E](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-764e1c770271f92700e1a4fbce46c668_l3.png)
, Dee voltage
![Rendered by QuickLaTeX.com V](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-63ada879859a9e41fd935f035b7313bc_l3.png)
, magnetic field
![Rendered by QuickLaTeX.com B](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png)
, and particle with mass
![Rendered by QuickLaTeX.com m](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png)
and charge
![Rendered by QuickLaTeX.com e](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-3fc193f43cc29c1eef788f64ba43c1bd_l3.png)
, and returns the number of turns
![Rendered by QuickLaTeX.com N](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-5793832f979c2268e3694c246d53b1bb_l3.png)
, total path length
![Rendered by QuickLaTeX.com L](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-66a9f474fc3c52efdfb0ba6a70199ee8_l3.png)
, and initial and final turn spacings
![Rendered by QuickLaTeX.com S_1](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-94366be0a490b276dfa891caf550bb9b_l3.png)
and
![Rendered by QuickLaTeX.com S_N](https://cyclotroninfo.com/wp-content/ql-cache/quicklatex.com-73da5738ae40361b0baa62d0abd15ec5_l3.png)
. This is an idealized calculation – complexities like particle phase advance, sinusoidal RF Dee voltage, etc. are not accounted for.
The Dee voltage should be Dee to Dee peak if using two Dees, or Dee to ground peak if using a dummy Dee.
Path Length Calculator