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James Van Allen journal, 1951?-December 1954
Page 23
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ion [chamber? ch?] [sketch/picture] plan drawing including: 24 inches overall, 61.0 cm, about 22.5 inches estimated effective, 57 cm, 3 inches OD, 7.61 cm, OK, 1/32 inch Weight of ion ch. : 1876 grams (without gauge, solenoid, plastic plate, [amphenol?] fitting) average thickness = ((((integral sub 0) exponent (pi/2))(weight/A)(A2pi)(sine theta d theta))/(((integral sub 0) exponent (pi/2))(A2pi)(sin theta d theta))) [crossed out below here:] = (((weight)((integral sub 0) exponent (pi/2))((2pi sin theta d theta)/(((pi)((a exponent 2)/4) cos theta) + (A(l) sin theta))))/(((integral sub 0) exponent (pi/2)) 2(pi) sin theta d theta)) = (5.68 {Ostrander} gm/(cm exponent 2)). [crossed out above here] Half thickness (entering only) [crossed out : 2.84 ] gm/(cm exponent 2). ((1/2)(pi exponent 2)(a)(l)(1 + (a/2(l)))) = 2440 (cm exponent 2). [steradian?]. j = 0.07 , 2440j = 170 particles/second *** Bursts > (1/4) alpha , (820)/(238) = 3.45/second (([alpha? d?])(N))/(N) = 3.45 / 170 = 0.0203 = μdx = ((2.84)/(L sub exp.)) (L sub exp.) = ((2.84)/(0.0203)) = 140. *** (L sub geo.) = 108
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ion [chamber? ch?] [sketch/picture] plan drawing including: 24 inches overall, 61.0 cm, about 22.5 inches estimated effective, 57 cm, 3 inches OD, 7.61 cm, OK, 1/32 inch Weight of ion ch. : 1876 grams (without gauge, solenoid, plastic plate, [amphenol?] fitting) average thickness = ((((integral sub 0) exponent (pi/2))(weight/A)(A2pi)(sine theta d theta))/(((integral sub 0) exponent (pi/2))(A2pi)(sin theta d theta))) [crossed out below here:] = (((weight)((integral sub 0) exponent (pi/2))((2pi sin theta d theta)/(((pi)((a exponent 2)/4) cos theta) + (A(l) sin theta))))/(((integral sub 0) exponent (pi/2)) 2(pi) sin theta d theta)) = (5.68 {Ostrander} gm/(cm exponent 2)). [crossed out above here] Half thickness (entering only) [crossed out : 2.84 ] gm/(cm exponent 2). ((1/2)(pi exponent 2)(a)(l)(1 + (a/2(l)))) = 2440 (cm exponent 2). [steradian?]. j = 0.07 , 2440j = 170 particles/second *** Bursts > (1/4) alpha , (820)/(238) = 3.45/second (([alpha? d?])(N))/(N) = 3.45 / 170 = 0.0203 = μdx = ((2.84)/(L sub exp.)) (L sub exp.) = ((2.84)/(0.0203)) = 140. *** (L sub geo.) = 108
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