1. The special someone in your life recently gave you diamond, however you have
ID: 1025160 • Letter: 1
Question
1. The special someone in your life recently gave you diamond, however you have come to suspect that it is not a real diamond and might actually be cubic zirconia. To confirm its structure, you have performed powder XRD on the diamond using a system equipped with a Cu Ka X-ray source ( 0.1542 nm). The peak assignments from the diffraction pattern are as follows: 20 (deg 43.99 75.41 91.64 119.74 104.95 (hkl) assignment 022 (113 004 133 Calculate the lattice constant of sample. Given that the lattice constant for diamond is 3.56 A and 5.17A for cubic zirconia, is your sample a real diamond or a fake?Explanation / Answer
Answer:
Form Bragg's law wavelength =2dsin
And d=a/(h^2+k^2+l^2)
Lattice constant a=(/2sin)×(h^2+k^2+l^2)
From the given table, take 2=43.99 then =21.995
(hkl)=(111), =0.1542 nm
a=(/2sin)×(h^2+k^2+l^2)=(0.1542 nm/2 x sin(21.9965)) x (1^2+1^2+1^2)
a=0.267 nm/0.749=0.356 nm.
a=3.56A°. (1A°=0.1 nm)
The lattice constant is 3.56 A°, so it is a real dimond.
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