PHY 1850 F
Homework #1

#1 (a): Kittel
1.3 (hcp structure)
(b): Solid Na undergoes a
bcc-to-hcp phase transition at 23K. Assuming constant density and ideal
c/a ratio with a=0.423nm for bcc, determine a for the hcp phase.
#2:
Calculate the atomic packing
fractions for diamond and for graphite.
#3: Kittel 2.5 (structure factor of diamond)*
*hint: the basis of
the diamond structure referred to the fcc lattice has identical
atoms at 000; 1/4 1/4 1/4.
#4: Kittel 2.6 (form factor of atomic hydrogen)
#5 (a): Kittel 3.1 (quantum solid: helium)
(b): Kittel 3.3 (solid
molecular hydrogen)
#6 (a): Kittel
4.3 (basis of two unlike atoms)
(b):
Kittel 4.5 (diatomic chain)
#7 Extra Credit:
Calculate
the Madelung constant for a ionic solid with cubic symmetry.*
*hint: evaluate in terms of
electrically-neutral
lattice units.