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单词 virial expansion
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virial expansion
b. virial coefficient [translating German virialcoefficient (H. K. Onnes 1901, in Arch. neérlandaises des Sci. exactes & nat. VI. 874)] , each of the (temperature-dependent) coefficients of inverse powers of V in a polynomial series used to approximate the quantity pV/RT in the equation of state of an ideal gas or similar collection of particles; so virial equation, virial expansion.
ΚΠ
1902 Sci. Abstr.: Physics & Electr. Engin. 5 364 The series development pv = A + B/v + C/v2 + D/v4 + E/v6 + F/v8 is applied... The coefficients A, B, &c., are termed virial coefficients, and are functions of the temperature.
1955 H. B. G. Casimir in W. Pauli Niels Bohr & Devel. Physics 121 In the theory of an ideal gas interaction between atoms is neglected, but it is possible to calculate successive approximations, the so called virial coefficients.
1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) v. iv. 49/2 The virial expansion is one of the cleanest-cut developments in the subject of statistical mechanics.
1967 D. Margerison & G. C. East Introd. Polymer Chem. ii. 63 Some idea of the deviations from ideality in these dilute solutions can be obtained by evaluation of the second virial coefficients.
1978 P. W. Atkins Physical Chem. i. 39 Conclusions can be drawn from the virial equation of state only by inserting specific values of the coefficients and taking note of their temperature dependence.
extracted from virialn.
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