Experimental Determination of the Low-Temperature Grüneisen Parameter of Silicon from Pressure Derivatives of Elastic Constants

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Abstract
Pressure derivatives of the elastic constants of Si are obtained in fluid and gaseous He at 4 and 77°K on samples in the resistivity range 150-500 Ω cm. The doping level was found to have no effect on these derivatives, and the 4°K values were essentially indistinguishable from those at 77°K. Thus the disparity between the low-temperature limit of the Grüneisen parameter determined from thermal-expansion measurements from 2 to 15°K by Sparks and Swenson and from the 77°K elastic-constant work of McSkimin and Andreatch is not resolved.