Menu Close

Pressure Derivativs Of Higher Order Elastic Constants Of Calcium Oxide Single Crystal In High Temperature Range

Jitendra Kumar

ABSTRACT

Rocks are complicated heterogeneous materials with microstructures that scatter acoustic or seismic waves. The anharmonic properties play an important role in the study that how the rock formed. In this work, an attempt has been made to evaluate higher order elastic constants for CaO at an elevated temperature from 50 K to 2600 K. The data of second order elastic constants (SOECs), third order elastic constants (TOECs) and fourth order elastic constants (FOECs) are used to evaluate the first order pressure derivatives (FOPDs) of SOECs and TOECs, second order pressure derivatives (SOPDs) of SOECs and partial contractions. While evaluating these properties it is assumed that the crystal structure does not change during temperature variation. When the values of second and third order elastic constants and density for any material at a particular temperature are known; one may get Grüneisen numbers, ultrasonic velocities for longitudinal and shear waves in different crystallographic directions which give important information about its anharmonic properties. The data of these oxides obtained through different techniques also give important and valuable information about internal structure and inherent properties of materials and can be used in future for different industrial purposes and further investigations of isostructural oxides.

Keywords: SOPDs, CaO, elastic constants, etc.