A beam of X-rays of first-order wavelength 1.5406 Å is diffracted by a cubic crystal with lattice constant of 4.2 Å. What is the relationship between the glancing angle if he (002), (020), and (200) planes of the crystal diffract the X-ray? Given: (1) For a cubic crystal, the lattice translation vector (a) relates lattice spacing (d) and Miller ndices (h k I) through the relation a² = d²(h² + k² + l²): (2) 1 Å = 10-1º m.

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A beam of X-rays of first-order wavelength 1.5406 Å is diffracted by a cubic crystal
with lattice constant of 4.2 Å. What is the relationship between the glancing angle if
the (002), (020), and (200) planes of the crystal diffract the X-ray? Given: (1) For a
cubic crystal, the lattice translation vector (a) relates lattice spacing (d) and Miller
indices (h k l) through the relation a? = d²(h? + k² + l²); (2) 1 Å = 10-1º m.
Transcribed Image Text:A beam of X-rays of first-order wavelength 1.5406 Å is diffracted by a cubic crystal with lattice constant of 4.2 Å. What is the relationship between the glancing angle if the (002), (020), and (200) planes of the crystal diffract the X-ray? Given: (1) For a cubic crystal, the lattice translation vector (a) relates lattice spacing (d) and Miller indices (h k l) through the relation a? = d²(h? + k² + l²); (2) 1 Å = 10-1º m.
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