Answer to Question #167979 in Material Science Engineering for ashish

Question #167979

6) A cubic crystal with a=5.60Å is set initially with the incident beam travelling along the [100] direction. The crystal is then rotated clockwise about [001] through an angle ω until the (460) reflection is first produced with Cu Kα radiation. Calculate the Bragg angle θ for the (460) reflection and determine the angle ω


1
Expert's answer
2021-03-03T01:07:28-0500

2d sin "\\theta" = n "\\lambda" (Braggs Law)

a = d (h2 + k2 + l2)1/2

5.60 A = d (42 + 62 + 02)1/2

d = 0.78 A

2 x 0.78 x 10-10 m x sin "\\theta" = 154.18 x 10-12 m

sin "\\theta" = 0.9883

"\\theta" = 81°


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