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Isotope effects on the spin-density distribution in the H$$_6^{+}$$ clusters; Direct ${it ab initio}$ molecular dynamics study

Kurosaki, Yuzuru; Shimizu, Yuta*; Kumagai, Jun*

Direct ab initio molecular dynamics calculations have been carried out for the H$$_6^{+}$$ cluster and its isotopic analogues: [H$$_{2}$$(H$$_{2}$$)H$$_{2}$$]$$^{+}$$, [H$$_{2}$$(H$$_{2}$$)D$$_{2}$$]$$^{+}$$, and [H$$_{2}$$(HD)H$$_{2}$$]$$^{+}$$. The calculations predict that the average geometry over the trajectories becomes asymmetric in both the deuterated clusters [H$$_{2}$$(H$$_{2}$$)D$$_{2}$$]$$^{+}$$ and [H$$_{2}$$(HD)H$$_{2}$$]$$^{+}$$, causing disproportion in the spin density that determines hyperfine coupling constants (HFCCs). This prediction agrees well with a recent ESR study that observed the isotope effects on the HFCCs for the central H$$_{2}$$ in these clusters generated in $$gamma$$-irradiated solid $$p$$-H$$_{2}$$. Thus the present result strongly supports the H$$_6^{+}$$ cluster formation in the solid $$p$$-H$$_{2}$$.

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