FIRST-ORDER REDUCTION FACTORS FOR THE T-1U-CIRCLE-TIMES-H(G) JAHN-TELLER SYSTEM

It is now well-known that the electron-phonon interaction, and hence t he Jahn-Teller (JT) effect, is important in understanding the properti es of C-60 and related molecules. The T(1u)Xh(g) JT system is of parti cular importance as this will be the JT effect displayed by C-60 molec ules doped with an electron. In this paper, first-order JT reduction f actors are derived for the T(1u)Xh(g) Jahn-Teller system using symmetr y-adapated vibronic ground and inversion states pertaining to either p entagonal (D-5d) or trigonal (D-3d) wells in the potential energy surf ace. Analytical expressions are obtained for all possible first-order reduction factors for T-1g and H-g operators both between and within t he pentagonal and trigonal wells. The results are formulated in terms of reduced matrix elements, so that the Clebsch-Gordan coefficients fu r I-h symmetry can be used throughout the calculations.