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A recently suggested computational scheme Buch and Devlin, J. Chem. Phys. 98, 4195 (1993) is extended to describe orientational phenomena in systems containing assemblies of odd-J and even-J hydrogen and deuterium molecules. Nuclear symmetry and rotational effects are incorporated in the path integral Monte Carlo algorithm. The scheme is employed in a study of the (para-D2)3(ortho-D2)10 and (para-D2)13 clusters in the 1–3 K temperature range. In the (para-D2)3(ortho-D2)10 cluster at 1 K, the three J=1 molecules form a ‘‘cluster within cluster,’’ held together by the anisotropic quadrupole–quadrupole interactions. At 3 K the three molecule J=1 cluster is dissolved within the (D2)13 cluster. The orientational structure of the (para-D2)13 cluster at 1 K is composed of two distinct distorted-T pair configurations of neighboring J=1 molecules. Upon heating to 3 K the orientational structure changes, and a clear separation between the two pair geometries is no longer obtained. Moreover at 3 K thermal distortion of the cluster structure from icosahedral relaxes the extent of orientational frustration of the system, and thus contributes to the lowering of the rotational energy.
V. Buch (Sun,) studied this question.