Abstract
It is shown that the basic NMR properties of ortho-${\mathrm{H}}_{2}$ molecules with a rotational angular momentum J and a spin angular momentum I under the influence of a completely asymmetric crystalline field in an amorphous matrix can be described by an effective nuclear spin Hamiltonian which contains only the nuclear spin angular momentum operators (${I}_{i}$), but is independent of the molecular rotational angular momentum operators (${J}_{i}$). By directly applying the existing magnetic-resonance theories to this effective nuclear spin Hamiltonian, a simple description is presented for various static and dynamic NMR properties of the ortho-${\mathrm{H}}_{2}$ NMR centers in amorphous hydrogenated silicon (a-Si:H), thereby resolving many difficulties and uncertainties encountered in understanding and explaining the H and ${\mathrm{H}}_{2}$ NMR observations in a-Si:H.
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