Transcribe
Translate
James Van Allen journal, 1951?-December 1954
Page 57
More information
digital collection
archival collection guide
transcription tips
26 May 1951 Note on range of charged particles: Assumptions: Rest Mass (M sub 0), kinetic energy E, charge Z, velocity v, range R gm/(cm exponent 2), x amount of material displaced (a) Rest Mass (M sub 0) > > (m sub e), mass of electron (b) No other types of energy loss except ionization (c) Z is constant From simple physical (as well as more erudite quantum mechanical) arguments (dE)/(dx) [or: (dE)/(d sub x)?]= ((Z exponent 2) f(v)) (<--------1*) in which f(v) is some unspecified function of velocity. E = (((M sub 0)(c exponent 2)) /(square root of (1-((v/c) exponent 2)))) - ((M sub 0)(c exponent 2)) or v=g(E/(M sub 0)) therefore (<--------1*) becomes ((dE)/(dx)) [or: (dE)/(d sub x)?]= ((Z exponent 2) (h(E/(M sub 0)))) where h is the function of (E/(M sub 0)) obtained by
Saving...
prev
next
26 May 1951 Note on range of charged particles: Assumptions: Rest Mass (M sub 0), kinetic energy E, charge Z, velocity v, range R gm/(cm exponent 2), x amount of material displaced (a) Rest Mass (M sub 0) > > (m sub e), mass of electron (b) No other types of energy loss except ionization (c) Z is constant From simple physical (as well as more erudite quantum mechanical) arguments (dE)/(dx) [or: (dE)/(d sub x)?]= ((Z exponent 2) f(v)) (<--------1*) in which f(v) is some unspecified function of velocity. E = (((M sub 0)(c exponent 2)) /(square root of (1-((v/c) exponent 2)))) - ((M sub 0)(c exponent 2)) or v=g(E/(M sub 0)) therefore (<--------1*) becomes ((dE)/(dx)) [or: (dE)/(d sub x)?]= ((Z exponent 2) (h(E/(M sub 0)))) where h is the function of (E/(M sub 0)) obtained by
Van Allen Papers
sidebar
