Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal Calcite
The second- and third-order elastic constants of trigonal calcite have been obtained using the deformation theory. The strain energy density derived using the deformation theory is compared with the strain dependent lattice energy obtained from the elastic continuum model approximation to get the ex...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | E-Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2005/913794 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560257271857152 |
|---|---|
| author | Thresiamma Phlip C. S. Menon K. Indulekha |
| author_facet | Thresiamma Phlip C. S. Menon K. Indulekha |
| author_sort | Thresiamma Phlip |
| collection | DOAJ |
| description | The second- and third-order elastic constants of trigonal calcite have been obtained using the deformation theory. The strain energy density derived using the deformation theory is compared with the strain dependent lattice energy obtained from the elastic continuum model approximation to get the expressions for the second- and third-order elastic constants. Higher order elastic constants are a measure of the anharmonicity of a crystal lattice. The seven second-order elastic constants and the fourteen non-vanishing third-order elastic constants of trigonal calcite are obtained. The second-order elastic constants C11, which corresponds to the elastic stiffness along the basal plane of the crystal is greater than C33, which corresponds to the elastic stiffness tensor component along the c-axis of the crystal. First order pressure derivatives of the second-order elastic constants of calcite are evaluated. The higher order elastic constants are used to find the generalized Gruneisen parameters of the elastic waves propagating in different directions in calcite. The Brugger gammas are evaluated and the low temperature limit of the Gruneisen gamma is obtained. The results are compared with available reported values. |
| format | Article |
| id | doaj-art-8de0267b7d474922992142d852417317 |
| institution | Kabale University |
| issn | 0973-4945 2090-9810 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | E-Journal of Chemistry |
| spelling | doaj-art-8de0267b7d474922992142d8524173172025-02-03T01:28:01ZengWileyE-Journal of Chemistry0973-49452090-98102005-01-012420721710.1155/2005/913794Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal CalciteThresiamma Phlip0C. S. Menon1K. Indulekha2School of Pure and Applied Physics, Mahatma Gandhi University, Kottayam, Kerala, 686560, IndiaSchool of Pure and Applied Physics, Mahatma Gandhi University, Kottayam, Kerala, 686560, IndiaSchool of Pure and Applied Physics, Mahatma Gandhi University, Kottayam, Kerala, 686560, IndiaThe second- and third-order elastic constants of trigonal calcite have been obtained using the deformation theory. The strain energy density derived using the deformation theory is compared with the strain dependent lattice energy obtained from the elastic continuum model approximation to get the expressions for the second- and third-order elastic constants. Higher order elastic constants are a measure of the anharmonicity of a crystal lattice. The seven second-order elastic constants and the fourteen non-vanishing third-order elastic constants of trigonal calcite are obtained. The second-order elastic constants C11, which corresponds to the elastic stiffness along the basal plane of the crystal is greater than C33, which corresponds to the elastic stiffness tensor component along the c-axis of the crystal. First order pressure derivatives of the second-order elastic constants of calcite are evaluated. The higher order elastic constants are used to find the generalized Gruneisen parameters of the elastic waves propagating in different directions in calcite. The Brugger gammas are evaluated and the low temperature limit of the Gruneisen gamma is obtained. The results are compared with available reported values.http://dx.doi.org/10.1155/2005/913794 |
| spellingShingle | Thresiamma Phlip C. S. Menon K. Indulekha Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal Calcite E-Journal of Chemistry |
| title | Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal Calcite |
| title_full | Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal Calcite |
| title_fullStr | Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal Calcite |
| title_full_unstemmed | Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal Calcite |
| title_short | Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Trigonal Calcite |
| title_sort | higher order elastic constants gruneisen parameters and lattice thermal expansion of trigonal calcite |
| url | http://dx.doi.org/10.1155/2005/913794 |
| work_keys_str_mv | AT thresiammaphlip higherorderelasticconstantsgruneisenparametersandlatticethermalexpansionoftrigonalcalcite AT csmenon higherorderelasticconstantsgruneisenparametersandlatticethermalexpansionoftrigonalcalcite AT kindulekha higherorderelasticconstantsgruneisenparametersandlatticethermalexpansionoftrigonalcalcite |