The metal niobium crystallizes in a body centered cubic unit cell. ?
The metal niobium crystallizes in a body centered cubic unit cell. When X-rays with λ = 0.8302 Å are used, the second-order Bragg reflection from a set of parallel planes in a(n) niobium crystal is observed at an angle θ = 14.57°. If the spacing between these planes corresponds to the unit cell length (d = a), calculate the edge length of the niobium unit cell.
- micatkieLv 76 months ago
Bragg's law: 2 d sinθ = n λ
For second-order, n = 2:
2 d sinθ = 2 λ
d = λ / sinθ = 0.8302 / sin14.57° Å = 3.300 Å
The edge length of the niobium unit cell, a = d = 3.300 Å
- Dr WLv 76 months ago
did you try looking up bragg reflection?
note the relationship between dsinθ and wavelength and "d" the spacing between the lines (this is your unit cell edge length)