Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of state
We have derived formulations for the pressure derivatives of bulk modulus up to the third order and for higher order Grüneisen parameters using the generalized free volume theory, and the generalized Rydberg equation of state. The properties derived in the present study are directly related to the u...
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2009-01-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.12.2.205 |
| _version_ | 1818559727188049920 |
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| author | J. Shanker B.P. Singh K. Jitendra |
| author_facet | J. Shanker B.P. Singh K. Jitendra |
| author_sort | J. Shanker |
| collection | DOAJ |
| description | We have derived formulations for the pressure derivatives of bulk modulus up to the third order and for higher order Grüneisen parameters using the generalized free volume theory, and the generalized Rydberg equation of state. The properties derived in the present study are directly related to the understanding of thermoelastic properties of solids. The third order Grüneisen parameter (lambda λ) in the limit of infinite pressure has been found to approach a positive finite value for lambda infinity (λ<sub>∞</sub>) equal to 1/3. This is a result shown to be independent of the value of K-prime infinity, i. e., the pressure derivative of the bulk modulus at infinite pressure. The results based on other equations of state have also been reported and discussed. We find a relationship between λ<sub>∞</sub> and pressure derivatives of bulk modulus at infinite pressure which is satisfied by different types of equations of state. |
| first_indexed | 2024-12-14T00:29:18Z |
| format | Article |
| id | doaj.art-603f1355b8044dcda7aa6da98b7c4d7f |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-14T00:29:18Z |
| publishDate | 2009-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-603f1355b8044dcda7aa6da98b7c4d7f2022-12-21T23:24:55ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2009-01-01122205213Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of stateJ. ShankerB.P. SinghK. JitendraWe have derived formulations for the pressure derivatives of bulk modulus up to the third order and for higher order Grüneisen parameters using the generalized free volume theory, and the generalized Rydberg equation of state. The properties derived in the present study are directly related to the understanding of thermoelastic properties of solids. The third order Grüneisen parameter (lambda λ) in the limit of infinite pressure has been found to approach a positive finite value for lambda infinity (λ<sub>∞</sub>) equal to 1/3. This is a result shown to be independent of the value of K-prime infinity, i. e., the pressure derivative of the bulk modulus at infinite pressure. The results based on other equations of state have also been reported and discussed. We find a relationship between λ<sub>∞</sub> and pressure derivatives of bulk modulus at infinite pressure which is satisfied by different types of equations of state.http://dx.doi.org/10.5488/CMP.12.2.205pressure derivatives of bulk modulusGr |
| spellingShingle | J. Shanker B.P. Singh K. Jitendra Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of state Condensed Matter Physics pressure derivatives of bulk modulus Gr |
| title | Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of state |
| title_full | Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of state |
| title_fullStr | Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of state |
| title_full_unstemmed | Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of state |
| title_short | Extreme compression behaviour of higher derivative properties of solids based on the generalized Rydberg equation of state |
| title_sort | extreme compression behaviour of higher derivative properties of solids based on the generalized rydberg equation of state |
| topic | pressure derivatives of bulk modulus Gr |
| url | http://dx.doi.org/10.5488/CMP.12.2.205 |
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