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James Van Allen journal, 1951?-December 1954

Page 59

For ((sub 3)(Li exponent 7))

((E sub Li)/(7))=(psi(((3 exponent 2)/7)(R sub Li)))

That is, a ((sub 3)(Li exponent 7)) (stripped would have to have 7 times the energy in order to have 7/9 [crossed out: 9/7] of the range of the proton

   Equations (<--------2*) and (<--------3*) show that the proton range energy curve can be used for any charged particle with an appropriate change of scale factor on the ordinate and abscissa scale

   Note the assumptions, e.g., not good in the energy region of charge loss and gains (non-constant Z).
            due to J. A. Jacobs.

Also see [N? M?]. S. Livingston and H. A. Bethe

Review Mod. Physics 9, page 245 (1937)

particularly pages 262-271

---------------------------------------------
March 1952
E=energy per nucleon
Z=atomic number; i.e., = atomic weight

R(Z, M, E) = (M/(Z exponent 2))  [R(1, 1, E)? R(I, I, E)?]

Kaplan, Peters, Reynolds, Ritson
Phys. Review 85, page 295 (1952)
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kinetic energy E, charge Z, velocity v, range R gm/(cm exponent 2), x amount of material displaced

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For ((sub 3)(Li exponent 7)) ((E sub Li)/(7))=(psi(((3 exponent 2)/7)(R sub Li))) That is, a ((sub 3)(Li exponent 7)) (stripped would have to have 7 times the energy in order to have 7/9 [crossed out: 9/7] of the range of the proton Equations (<--------2*) and (<--------3*) show that the proton range energy curve can be used for any charged particle with an appropriate change of scale factor on the ordinate and abscissa scale Note the assumptions, e.g., not good in the energy region of charge loss and gains (non-constant Z). due to J. A. Jacobs. Also see [N? M?]. S. Livingston and H. A. Bethe Review Mod. Physics 9, page 245 (1937) particularly pages 262-271 --------------------------------------------- March 1952 E=energy per nucleon Z=atomic number; i.e., = atomic weight R(Z, M, E) = (M/(Z exponent 2)) [R(1, 1, E)? R(I, I, E)?] Kaplan, Peters, Reynolds, Ritson Phys. Review 85, page 295 (1952) -------------------------------------------------- kinetic energy E, charge Z, velocity v, range R gm/(cm exponent 2), x amount of material displaced