MSE
+HW#3+2018+keys.pdf

Appendix 8 values of l iii edge becomes smaller than

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Appendix 8, values of L-III edge becomes smaller than 1.542 are seen for elements at Z>67 (Ho). Indeed, you will see a large break in the mass absorption coefficient at Z=67 (Ho). Now you explained this 2 nd break. There are, however, up and down around Z~60-66; this is due to the involvement of L-I edge and L-II edge in very complicated way. OK, now is your turn. Do the same analysis for Co-Ka line. 6. Suppose that a nickel filter is required to produce an intensity ratio of Cu K α to Cu K β b of 100/1 in the filtered beam. Calculate the thickness of the filter and transmission factor for the Cu K α line. (10 pts) Mass absorption coefficients are found in Appendix 8. μ K α ρ = 48.83 cm 2 gram and μ K β ρ = 282.8 cm 2 gram ρ = 8.91 gram cm 3 Original ratio for I α 0 /I β 0 =7.5 from Table 1.1. I α I β = I α o e μ α ρ ρ x I β o e μ β ρ ρ x e μ β ρ μ α ρ ρ x = 100/7.5 e 2084.6727 cm 1 * x = 13.33 x = ln13.33 2084.6727 cm 1 = 1.24 × 10 3 cm = 12.4 μ m % 3 . 58 / 3 10 24 . 1 0753 . 435 = = = × × e e I I x o μ for CuK α 7. Assume that the sensitivity of x-ray film is proportional to the mass absorption coefficient of the silver bromide in the emulsion for the particular wavelength involved. What is the ratio of film sensitivity to Cu K α and Mo K α radiations? (10 pts) CuK α /(cm 2 /g) MoK α /(cm 2 /g) Ag 218.1 26.38 Br 90.29 74.68 Ag%=107.8682/ (107.8682+79.904) =57.45% Br%=1-Ag%=42.55% g cm CuK / 7 . 163 29 . 90 % 55 . 42 1 . 218 % 45 . 57 ) ( 2 = × + × = α ρ μ
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MSE-331(Fall 2018) page- 7 g cm MoK / 93 . 46 68 . 74 % 55 . 42 38 . 26 % 45 . 57 ) ( 2 = × + × = α ρ μ Sensitivity ratio of CuK α to MoK α is 163.7/46.93=3.5
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