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An Isothermal Equation of State of Solid
Author(s) -
Bose Roy Papiya,
Bose Roy Sushil
Publication year - 2001
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200107)226:1<125::aid-pssb125>3.0.co;2-1
Subject(s) - isothermal process , equation of state , zero (linguistics) , thermodynamics , bulk modulus , mathematics , volume (thermodynamics) , chemistry , mathematical physics , physics , linguistics , philosophy
In this paper, an isothermal three‐parameter equation of state (EOS) of solid is proposed in the form V / V 0 = f ( P ), with pressure P as the independent and relative volume V / V 0 as the dependent variable. The proposed EOS uses three parameters expressible in terms of B 0 , B ′ 0 and B ″ 0 , denoting bulk modulus and its first and second pressure derivatives at zero pressure. The new model is applied to the isotherms of ionic, metallic, quantum and rare‐gas solid, with pressures ranging from zero to variable maximum pressures of up to 1 TPa. The fits are uniformly excellent. Root‐mean‐square deviations between data and fits are computed and compared with the three‐parameter empirical EOS proposed by Kumari and Dass [J. Phys.: Condens. Matter 2 , 3219 (1990)]. It is shown that our new form yields a decisively superior fit. Furthermore, it is shown that our proposed equation of state has an advantage for some close‐packed materials because it allows B ′ ∞ = (δ B s /δ P ) s ( P → ∞) to be fitted, and this is where the usual standard equations fail badly.