Generalized pressure–volume equations mimicking the Stacey reciprocal K-primed equation of state

✍ Scribed by H.C. Shrivastava

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 121 KB
• Volume: 404
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/j.physb.2008.10.042

✦ Synopsis

Two generalized polynomial expressions, one based on a logarithmic form and the other on an exponential form have been set up that give pressure-volume (P-V) relationship and higher derivative properties mimicking the Stacey reciprocal K-primed equation of state. The results have been obtained for pressure P, bulk modulus K and its pressure derivative K 0 for six metals viz. Ag, Al, Au, Cu, Mo and W at different values of compression down to V/V 0 ¼ 0.5. The zero-pressure values of input parameters K 0 and K 0 0 have been taken from the literature, whereas K 0 1 and K 0 K 00 0 have been fixed to match the Stacey reciprocal K-primed equation. The polynomial equations thus formulated can be used as a substitute for the Stacey equations of state (EOS) for determining P-V relationship and higher derivative properties such as K and K 0 .