Ea. Perpete et al., LINEAR AND NONLINEAR POLARIZABILITIES OF POLYDIACETYLENE AND POLYBUTATRIENE CHAINS - AN AB-INITIO COUPLED HARTREE-FOCK INVESTIGATION, The Journal of chemical physics, 107(7), 1997, pp. 2463-2480
Ab initio Hartree-Fock 6-31G longitudinal polarizabilities and second
hyperpolarizabilities of polydiacetylene and polybutatriene oligomers
are computed and, then, extrapolated to the infinite polymer limit. Bo
th the electronic and vibrational components are obtained with the lat
ter evaluated in the double harmonic approximation. For static fields
the electronic hyperpolarizability of the butatrienic form is almost 5
0 times larger than the acetylenic form; the ratio of the vibrational
to the electronic component is 0.86 for the latter and 3.3 for the for
mer. Thus, the two components are sensitive to the difference in bond
length alternation (BLA) in different ways. Depending upon the particu
lar nonlinear process it is shown that the vibrational hyperpolarizabi
lity may remain large even at optical frequencies. Three intense Raman
-active k=0 modes dominate the vibrational component. At the level of
theory used here these modes occur in the frequency range 1000-2500 cm
(-1) and they consist of changes in the BLA as well as hydrogen waggin
g motions. For polydiacetylene, there is a 1:1 relation with the corre
sponding vibrations that make the most important hyperpolarizability c
ontributions in polyacetylene and polyyne. (C) 1997 American Institute
of Physics.