Transition Monopoles for pp* Transitions in Phe Side Chaina


ATOM
Laxb
Layb
Bbc
Bac
Cg
-0.1698
0.0
-0.5397
0.0
Cd1
-0.3394
0.2906
-1.0794
0.9348
Cd2
-0.3394
-0.2096
-1.0794
-0.9348
Ce1
0.3394
0.2906
1.0794
0.9348
Ce2
0.3394
-0.2906
1.0794
-0.9348
Cz
0.1698
0.0
0.5397
0.0

a Monopole positions are at the atomic centers. The monopole charges given here are in units of 10-10 esu. Transitions between the Ba and Bb states are forbidden.

b The La band of benzene, the model we use for Phe, is electrically forbidden. The observed intensity is due to vibronic borrowing from the fully allowed B band. The monopoles La monopoles given here are proportional to those for the B bands, with a scaling factor that yields the observed La intensity. (N. Sreerama et al., Lectures and Posters, 4th Intl. Conf. CD, Bochum, Germany, 1991, pp. 186-201.) There are no matrix elements connecting the two La vibronic components.

c Derived by symmetry for two degenerate components with a total oscillator strength of 1.03 at 185 nm (benzene data: J. N. Murrell, The Theory of the Electronic Spectra of Organic Molecules, Methuen, London, 1963, p. 127; toluene data: M. B. Robin, Higher Excited States of Polyatomic Molecules, vol. II, Academic Press, New York, 1975, p. 228).



Transition Parameters for pp* Transitions in the Phe Side Chaina


Transition
E (eV)b
Ñx (A-1)b
Ñy (A-1)b
(r x Ñ)z (BM)
Bandwidth (nm)
Lax
5.9041
0.2258
0.0
0.0
8.2
Lay
5.9041
0.0
0.2258
0.0
8.2
Bb
6.7019
0.8242
0.0
0.0
6.8
Ba
6.7019
0.0
0.8242
0.0
6.8

a Because of the plane of symmetry, the z-component of the Ñ matrix element and the x, y components of the (r x Ñ) matrix element are zero. The x-axis axis of the phenyl ring runs from Cg toward Cz. The y-axis is perpendicular to this and in-plane with the positive direction running from Cd2 to Cd1. The origin is at the center of the ring.

b See footnotes b,c for previous Table.