Abstract
A general expression for the high-temperature ultrasonic attenuation in a quadrupolar solid is derived. The four-point correlation function occurring in this expression is then factored into products of two-point functions so that the attenuation is proportional to the convolution of two of the usual two-point angular momentum correlation functions. Using first-principles results for these functions, which were previously obtained for solid ${\mathrm{H}}_{2}$, the field-dependent or resonant part of the ultrasonic attenuation is then calculated as a function of ortho-${\mathrm{H}}_{2}$ concentration $c$. The result of this calculation indicates that the resonant attenuation for solid ${\mathrm{H}}_{2}$ has a magnitude such that it could be observable by current techniques. A new kind of ultrasonic magnetic resonance is thus predicted.
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