Answer all questions on the paper supplied. Do not repeat the question. Just give a brief but complete answer. There are 100 points on this exam.
1.(20) Consider the ground state electronic configurations of
H-like atoms:
A. Which of the following are
allowed (i.e. valid) combinations of quantum numbers.
4s, 2d, 5p, 8g, 1p, 5d
B. Using noble gas cores, write
the configurations of the following.
14Si , 74W , 29Cu,
63Eu
2.(8) What can be said about the trend in sizes of
Ti, Zr, and Hf?
3.(16) Calculate the distance between the two atoms shown below
in a monoclinic crystal with
a=162 pm, b=212 pm, c = 266 pm, alpha = gama = 90 , and beta
= 100
Atom X is at x = 0.800, y = 0.250, z = 0.424
Atom Y is at x = 0.216, y = 0.304, z = 1.000
4.(18) If AlN were to be considered ionic and a Born-Haber
cycle constructed for its lattice
energy, what other energy terms would be required?
Define each one precisely for full credit.
5.(8) An oxide of rhenium (Re) can be described as
a c.c.p. lattice of oxygens with Re's in
one third of the octahedral sites. Derive the chemical
formula of the oxide. Show your method.
6.(16) Manganese, Mn, at room temperature has a simple
cubic lattice. Its atomic weight is
54.938 and its density is 7.44 gm/cm3.
Avogadro's number is 6.023 x1023. 1m = 102 cm =
109 nm. Calculate its radius (in nm)
using the hard sphere assumption.
7.(14) Rutile is TiO2 with Ti in the octahedral
sites of a lattice of oxygens.
A. What must be the coordination
number of the oxygens?
B. If the Ti were Ti4+
with a radius of 68 pm and the oxygens were O2- with a radius
of
140 pm, would the radius
ratio rules allow the octahedral coordination of Ti? Show your method.