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

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 Gr\"uneisen 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.