The metal niobium crystallizes in a body-centered cubic unit cell. When x-rays with a wavelength of 0.8302Å are used, the second-order (n=2) Bragg reflection from a set of parallel planes in a niobium crystal is observed at an angle of ? = 14.57?. If the distance between these planes corresponds to a unit cell length (d = a), calculate the edge length of the niobium unit cell.

The metal niobium crystallizes in a body-centered cubic unit cell. When x-rays with a wavelength of 0.8302Å are used, the second-order (n=2) Bragg reflection from a set of parallel planes in a niobium crystal is observed at an angle of ? = 14.57?. If the distance between these planes corresponds to a unit cell length (d = a), calculate the edge length of the niobium unit cell.





a. 0.209Å
b. 0.915Å
c. 1.65Å
d. 3.30Å
e. 1005Å




Answer: D