Editing Murnaghan equation of state
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The '''Murnaghan equation of state''' was developed by Francis D. Murnaghan of John Hopkins University. He presented an [[Equations of state |equation of state]] suitable for representing solids | The '''Murnaghan equation of state''' was developed by Francis D. Murnaghan of John Hopkins University. He presented an [[Equations of state | equation of state]] suitable for representing solids <ref>[http://www.pnas.org/content/30/9/244.full.pdf+html F. D. Murnaghan. "The Compressibility of Media under Extreme Pressures", Proceedings of the National Academy of Sciences of the United States of America '''30''' pp. 244-247 (1944)]</ref>. Having high energy dependence on volume, the equation of state has found considerable use in condensed phase media. | ||
Three [[Thermodynamic relations |derivative relations]] are utilised to lead to the formulation, namely: | Three [[Thermodynamic relations |derivative relations]] are utilised to lead to the formulation, namely: | ||
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==Regions of Applicability== | ==Regions of Applicability== | ||
Many papers have since been published on the applicability of the Murnaghan equation of state, many of which have presented alternate equation of state forms for solids. In general, it has been shown that the Murnaghan equation of state breaks down for compression ratios greater than ~0.7-0.8 times the original volume, which occurs as a consequence of the linear dependence of the bulk modulus on pressure and constant bulk modulus pressure derivative. Several popular forms presented to address this issue are the [[Birch-Murnaghan equation of state]], the [[ | Many papers have since been published on the applicability of the Murnaghan equation of state, many of which have presented alternate equation of state forms for solids. In general, it has been shown that the Murnaghan equation of state breaks down for compression ratios greater than ~0.7-0.8 times the original volume, which occurs as a consequence of the linear dependence of the bulk modulus on pressure and constant bulk modulus pressure derivative. Several popular forms presented to address this issue are the [[Birch-Murnaghan equation of state]], the [[Vinet (Universal) equation of state]], the [[Holzapfel equation of state]], the [[Kumari-Dass equation of state]], and the [[Baonza equation of state]]. | ||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: equations of state]] | [[category: equations of state]] |