Question

Resources Element 2 (pm) A crystal was analyzed using X-ray diffraction with radiation from a chromium source. The observed angle was 11.27 Determine the distance between layers of the crystal. CO 179 Cr 229 Cu 154 194 Fe Mo 71.1 d pm

Answer 1

wavelength of Chromium source, $\lambda$ = 229 pm = 2.29 X 10^-10 m

Angle $\theta$ = 11.27^o

Using Braggs equation,

nX= 2 d sin e

Taking n=1, i.e. primary interaction

$\lambda = 2\: d\: \sin\theta$

2.29 X 10-10 = 2 d sin(11.27)

$d=\frac{2.29\:X\:10^{-10} }{2\: \sin(11.27)}= 5.8588\:X\:10^{-10} \; m = 585.88\; pm$