Abstract

The structural correlation and the geometric isotope effects in hydrogen-bond crystals are studied by the semiquantal time-dependent Hartree (SQTDH) approach recently developed [K. Ando, J. Chem. Phys. 121, 7136 (2004)]. The theory is demonstrated to provide accurate ground state wave functions for both weak and strong hydrogen bonds via a simple potential minimization procedure in an extended phase space of the variational parameters. It is shown that the asymmetry of the potential energy surface plays a significant role in affecting the correlation between A-H and A\ensuremath{\cdots}B distances in A-H\ensuremath{\cdots}B hydrogen bonds in such a way as to explain the observed variation of experimental data from a variety of compounds. The calculated geometric isotope effect on the A\ensuremath{\cdots}B distance induced by deuteration is $0.02\phantom{\rule{0.3em}{0ex}}\mathrm{\AA{}}$ or less, in agreement with experiments on normal compounds. The origin of the exceptionally large geometric isotope effects observed in some crystals having zero dimensional hydrogen-bond network is discussed on the basis of the present results.

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