W0218
Determination of the Adiabatic Potential Energy Surfaces of
Copper(II) Jahn-Teller Complexes Using Temperature Dependent Copper-Ligand Bond
Lengths. Charles J. Simmons, Dept. of Chemistry, University of Hawaii at
Hilo, Hilo, Hawaii 96720-8932 U.S.A., and Horst Stratemeier and Michael
Hitchman, School of Chemistry, University of Tasmania, Box 252-75, Hobart,
Tasmania 7001, Australia.
The Tutton salts form a series of isomorphous compounds
crystallizing in the monoclinic space group P21/a (Z=2) having the
general formula
X2[M(H2O)6](YO4)2, where
X represents a monovalent cation (K+, Rb+, Cs+,
NH4+, ND4+), M a divalent metal
cation and Y is either S or Se. These compounds contain discrete octahedral
M(H2O)62+ complexes possessing Ci
site symmetry with three unique M-O bonds. Of the first-row transition metal
elements, only M(H2O)62+ complexes containing
high-spin Cr2+ (5Eg) and Cu2+
(2Eg) ions are Jahn-Teller (JT) active, and,
generally, two of the three observed M-O bond lengths are temperature dependent.
Recently, we have been investigating the structures of the
mixed-crystal series K2[Cu(H2O)6]
(S1-xSexO4)2 at different
temperatures and dopage. The long and intermediate Cu-O bonds in the pure
potassium salt switch with x __0.5. Thus, the adiabatic ground-state surfaces of
the complexes can be modulated by varying the amount of selenate. We are able to
calculate these surfaces using a vibronic coupling model developed by Riley
et al. (Riley, M.J.; Hitchman, M.A.; Mohammed, A.W. J. Chem. Phys.
1987, 87, 3766). To apply this model to
Cu(H2O)62+, approximate values of the
parameters describing the JT coupling (h_, energy of the eg vibration
in the absence of the JT effect; M, effective mass of ligand; A1,
first-order vibronic coupling constant; A2, second-order vibronic
coupling constant, _E, energy between split Eg energy surfaces) and
the influence of strain (S_, tetragonal strain; S_,
orthorhombic strain) are input as parameters. The program then calculates the
energy states, vibronic wave functions and Cu-O bond lengths. The final
potential energy surfaces and vibronic wave functions are determined from the
values of the best-fit parameters A1, A2, S_,
and S_, obtained by comparing the observed with the
calculated Cu-O bond lengths.