Special Problem #2

This problem continues the study of the the crystal structure you produced in Special Problem 1, or a new structure if you prefer.

Assign some specific chemical species to the atoms so that you can calculate the x-ray diffraction intensities. Make a plot of reciprocal space showing the diffraction intensities at all reciprocal space points (h,k) where |h| and |k| are less than or equal to 2. Indicate the diffraction intensities by circles whose radii are proportional to the intensities. Label the peaks whose indices match those of the lattice planes labeled in your original crystal structure. Check if the reciprocal lattice vectors are perpendicular to the lattice planes.

Be sure to hand in also a copy of the real-space structure on which your diffraction pattern is based, because I need this information and do not have a record of it.