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James Van Allen journal, 1951?-December 1954
Page 16
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Geometrical cross-sections etc. -------------------------------------------- Rossi (Rev. Mod Physics 20, page 562 (1948) (sigma) = (pi)((1.4 x (10 exponent -13)) exponent 2)(A exponent (2/3)) {Element} { A } { Z } {(A/N) x (10 exponent 23)} {(sigma) x (10 exponent 25)} {L (gm/([cm exponent 2?]))} {A exponent (2/3)} ----------------------------------------------------------------------- { C } { 12.0 } { 6 } { 1.99 } { 3.24 } { 62 } { 5.24 } { N } { 14.0 } { 7 } { 2.32 } { 3.59 } { 65 } { 5.81 } { O } { 16.0 } { 8 } { 2.66 } { 3.91 } { 68 } { 6.35 } { Al } { 26.97} { 13 ["not 18"] } { 4.48 } { 5.54 } { 81 } { 9.00 } { Fe } { 55.85} { 26 } { 9.27 } { 9.00 } { 103 } { 14.6 } { Cu } { 63.57} { 29 } {10.57} { 9.87 } { 107 } { 16.0 } { Zn } { 65.38} { 30 } {10.84} { 10.0 } { 108 } { 16.2 } { Pb } { 207.2} { 82 } { 34.4 } { 21.6 } { 160 } { 35.0 } [sketch/picture] drawing of rectangular object with thickness of ((d)(x)) probability of a collision = (sigma {((cm exponent 2)/(atom))}) . ((# of atoms)/(cm exponent 3)) ((d)(x) {cm}) = fraction of area covered by atoms [ascending node symbol?] = (sigma? {(cm exponent 2)/(atom)}) ((# of atoms)/(gm)) ((d)(x) {gm/(cm exponent 2)}) = ((sigma) (N {Avogadro's #})/(A {atomic weight}) ((d)(x)))
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Geometrical cross-sections etc. -------------------------------------------- Rossi (Rev. Mod Physics 20, page 562 (1948) (sigma) = (pi)((1.4 x (10 exponent -13)) exponent 2)(A exponent (2/3)) {Element} { A } { Z } {(A/N) x (10 exponent 23)} {(sigma) x (10 exponent 25)} {L (gm/([cm exponent 2?]))} {A exponent (2/3)} ----------------------------------------------------------------------- { C } { 12.0 } { 6 } { 1.99 } { 3.24 } { 62 } { 5.24 } { N } { 14.0 } { 7 } { 2.32 } { 3.59 } { 65 } { 5.81 } { O } { 16.0 } { 8 } { 2.66 } { 3.91 } { 68 } { 6.35 } { Al } { 26.97} { 13 ["not 18"] } { 4.48 } { 5.54 } { 81 } { 9.00 } { Fe } { 55.85} { 26 } { 9.27 } { 9.00 } { 103 } { 14.6 } { Cu } { 63.57} { 29 } {10.57} { 9.87 } { 107 } { 16.0 } { Zn } { 65.38} { 30 } {10.84} { 10.0 } { 108 } { 16.2 } { Pb } { 207.2} { 82 } { 34.4 } { 21.6 } { 160 } { 35.0 } [sketch/picture] drawing of rectangular object with thickness of ((d)(x)) probability of a collision = (sigma {((cm exponent 2)/(atom))}) . ((# of atoms)/(cm exponent 3)) ((d)(x) {cm}) = fraction of area covered by atoms [ascending node symbol?] = (sigma? {(cm exponent 2)/(atom)}) ((# of atoms)/(gm)) ((d)(x) {gm/(cm exponent 2)}) = ((sigma) (N {Avogadro's #})/(A {atomic weight}) ((d)(x)))
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