We measured the elastic constants of a natural-quartz sphere using resonance-ultrasound spectroscopy (RUS). Our measurements of the near-traction-free vibrational frequencies of the sphere are matched with the predicted frequencies from the dynamic theory of elasticity, with optimized estimates for the elastic constants driving the differences between these sets of frequencies to a minimal value. Our computational model, although based on earlier approaches, is, to our knowledge, the first application of FUS to trigonal-symmetry spheres. Quartz shows six independent elastic constants, and our estimates of these constants are close to those computed by other means. Except for C14, after a 1% mass-density correction, antural quartz and cultured quartz show the same elastic constants. Natural quartz shows a higher internal friction.
, Ledbetter, H.
and Kim, S.
Elastic Constants of Natural Quartz, Journal of the Acoustical Society of America, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=851248
(Accessed December 9, 2023)