1. The metal niobium has a BCC crystal structure. If the angle of diffraction for the (211) set of planes occurs at 75.99 when x-ray having a wavelength of 0.1659nm is used, compute a) The interplanar spacing for this set of planes, and b) The atomic radius for the niobium atom. c) The crystal size if broadening for this peak is 0.5. 2. A portion of an X-ray diffractogram is given below. Using the peak in the diffractogram to calculate the approximate crystal size. (Show all steps for your calculation, =0.015405nm )