Exam 1
Ml 503/Ch 515                                                                         Sept. 28, 1998

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.