Nuclear Resonance in Dispersed Systems

Cover Nuclear Resonance in Dispersed Systems
Nuclear Resonance in Dispersed Systems
Yang, Koahsiung
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Only first order splitting need be considered in the present case. &-^ M + ^ Q » here >V<«m (II ' 5 ' 1) V - * H o \ The ~}-£ is given in equation (II. 3.1). Since the rotation of the DO Q -12 molecule is fast (about 10 sec), the electric field gradient of the OD bond is averaged around the molecular axis of symmetry, as seen by the deuteron nucleus. For the isotropic water molecule, the asymmetry parameter r\ is zero, but is not for an anisotropic water molecule. The anisotropic DO molecule has n about 0.1 [25]. This small asymmetry parameter can be ignored in high field theory without causing serious error because, r|/2 appearing in the quadrupole interaction Hamiltonian is much smaller than 1. The nuclear quadrupole interaction Hamiltonian of (II. 3.1) is then simplified to the following K Q = A(3i;-I 2 ) (II. 5.2) where A is a constant of known value. We choose xyz as the strong quantization frame (same as laboratory frame) with the Oz axis parallel to the static field H q and XYZ as the principal axis frame of the electric field gradient.

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