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THE EGS5 CODE SYSTEM

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Math FORTRAN Program<br />

Table 2.1 (cont.)<br />

Definition<br />

26. Σ P macroscopic cross section<br />

(probability of interaction/cm)<br />

= N a ρσ/M<br />

27. ˘Σ P macroscopic cross section<br />

(in X0 −1 units) = X 0 Σ<br />

28. ρ RHO PE material density (g/cm 3 )<br />

29. N e NE PE number of elements in<br />

the material<br />

30. Z i Z(I) P atomic number of the ith element<br />

of the material<br />

31. A i WA(I) P atomic weight of the ith element<br />

of the material (g/mole)<br />

32. p i PZ(I) P proportion by number of the ith<br />

element in the material ∝ ρ i /A i<br />

33. ρ i RHOZ(I) P proportion by weight of the ith<br />

element in the material ∝ p i A i<br />

34. M WM P molecular weight (g/mole)<br />

= ∑ N e<br />

i=1 p iA i<br />

35. C M ZC P molecular charge (electrons/<br />

molecule) = ∑ N e<br />

i=1 p iZ i<br />

36. n EDEN P electron density (electrons/cm 3 )<br />

= N a ρC M /M<br />

37. X 0 RLC PE radiation length<br />

= (N a ρ4αr0 2(Z AB − Z F )/M) −1<br />

∑<br />

38. Z T ZT P Ne<br />

i=1 p iZ i (Z i + ξ i )<br />

∑<br />

39. Z B ZB P<br />

Ne<br />

i=1 p iZ i (Z i + ξ i )ln Z −1/3<br />

∑ i<br />

40. Z F ZF P Ne<br />

i=1 p iZ i (Z i + ξ i )f c (Z i )<br />

∑<br />

41. Z S ZS P Ne<br />

i=1 p iZ i (Z i + ξ MS )<br />

∑<br />

42. Z E ZE P Ne<br />

i=1 p iZ i (Z i + ξ MS )ln Z −2/3<br />

i<br />

43. Z X ZX P<br />

∑ Ne<br />

i=1 p iZ i (Z i + ξ MS )<br />

×ln (1 + 3.34(αZ i ) 2 )<br />

44. Z A ZA P Z T ln 183<br />

45. Z G ZG P Z B /Z T<br />

46. Z P ZP P Z B /Z A<br />

47. Z V ZV P (Z B − Z F )/Z T<br />

48. Z U ZU P (Z B − Z F )/Z A<br />

Note: The next four are used in EGS directly and computed in MIX<br />

49. b c BLCC PE ‘6680’ ρZ S exp(Z E /Z S ) X 0<br />

50. χ cc XCC PE<br />

/(M exp(Z X /Z S ))<br />

(‘22.9’/RADDEG) √ Z S ρX 0 /M<br />

51. t eff0 TEFFO PE<br />

52. χ r0 XRO PE<br />

(exp(B min )/B min )/b<br />

√ c<br />

χ cc teff0 B min<br />

53. ξ MS FUDGEMS P constant used to account for<br />

multiple scattering of atomic<br />

electrons<br />

35

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