Related Experiment Video
Updated: Aug 22, 2026

Characterization of Full Set Material Constants and Their Temperature Dependence for Piezoelectric Materials Using Resonant Ultrasound Spectroscopy
Published on: April 27, 2016
Monocrystal elastic constants of the negative-thermal-expansion compound zirconium tungstate (ZrW2O8)
F R Drymiotis1, H Ledbetter, J B Betts
1Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Abstract:
We measured zirconium tungstate's elastic constants C(ij). This compound shows relatively soft, nearly isotropic elastic constants with normal Poisson ratios and no approach to Born instability. ZrW2O8 shows normal ambient-temperature elastic constants C(ij), but remarkable dC(ij)/dT that show dominant low-frequency acoustic-vibration modes. From the bulk modulus, we estimated the total ambient-temperature thermodynamic Grüneisen parameter as gamma = -1.2. The dB/dT slope gives a Grüneisen parameter gamma = -7. The 300-0 K bulk-modulus increase (40%) seems unprecedented and breaks Birch's law of corresponding states.
More Related Videos
Related Concept Videos
Thermal Strain
Thermal expansion and Thermal stress: Problem Solving
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Crystal Density
Lattice Energies of Ionic Crystals
Trends in Lattice Energy: Ion Size and Charge

