title: Elastic constants of natural quartz.
abstract: The elastic constants of a natural-quartz sphere using resonance-ultrasound spectroscopy (RUS) are measured. The 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. The present computational model, although based on earlier approaches, is the first application of RUS 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, natural quartz and cultured quartz show the same elastic constants. Natural quartz shows higher internal frictions.
authors.affiliation: Department of Civil Engineering, Colorado State University, Fort Collins, Colorado 80523, USA. prh@engr.colostate.edu
authors.forename: Paul
authors.initials: P
authors.lastname: Heyliger
authors.forename: Hassel
authors.initials: H
authors.lastname: Ledbetter
authors.forename: Sudook
authors.initials: S
authors.lastname: Kim
mesh_terms: D004548:Elasticity; D008962:Models, Theoretical; D011791:Quartz; D013057:Spectrum Analysis; D014465:Ultrasonics; D014732:Vibration
chemical_list: D011791:Quartz