skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Second virial coefficient of one dimensional gas

Abstract

The second virial coefficient of a one dimensional gas is calculated using the expressions for the scattering amplitude. The scattering amplitude is chosen in the form of rational function of wave vector.

Authors:
Publication Date:
Research Org.:
Univ. of Skopje, Yugoslavia
OSTI Identifier:
6424449
Alternate Identifier(s):
OSTI ID: 6424449
Report Number(s):
CONF-820136-
Journal ID: CODEN: HAJOD
Resource Type:
Conference
Resource Relation:
Journal Name: Hadronic J.; (United States); Journal Volume: 5:5; Conference: 1. international conference on non-potential interactions and their Lie-admissible treatment, Orleans, France, 5 Jan 1982
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GASES; VIRIAL EQUATION; ELASTIC SCATTERING; ONE-DIMENSIONAL CALCULATIONS; QUANTUM MECHANICS; SCATTERING AMPLITUDES; AMPLITUDES; EQUATIONS; FLUIDS; MECHANICS; SCATTERING 657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987); 657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics

Citation Formats

Mijatovic, M. Second virial coefficient of one dimensional gas. United States: N. p., 1982. Web.
Mijatovic, M. Second virial coefficient of one dimensional gas. United States.
Mijatovic, M. Sun . "Second virial coefficient of one dimensional gas". United States. doi:.
@article{osti_6424449,
title = {Second virial coefficient of one dimensional gas},
author = {Mijatovic, M.},
abstractNote = {The second virial coefficient of a one dimensional gas is calculated using the expressions for the scattering amplitude. The scattering amplitude is chosen in the form of rational function of wave vector.},
doi = {},
journal = {Hadronic J.; (United States)},
number = ,
volume = 5:5,
place = {United States},
year = {Sun Aug 01 00:00:00 EDT 1982},
month = {Sun Aug 01 00:00:00 EDT 1982}
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:
  • The experimental technique for the direct determination of the second refractivity virial coefficient is described. The absolute measurement of the refractive index n combined with an expansion technique for obtaining the higher-order coefficients of the Lorentz-Lorenz expansion LL=((n/sup 2/-1)/(n/sup 2/+2))p/sup -1/=A /SUB n/ +B /SUB n/ p+C /SUB n/ p/sup 2/+... leads to precise values of density p.A /SUB n/ is the ideal molar refractivity, which is readily determined from the absolute measurements of n in terms of pressure, whereas B /SUB n/ , C /SUB n/ ,... are the higher-order molar refractivity virial coefficients, which are obtained from expansionmore » experiments. The expansion method consists in measuring the sum of optical path lengths of two similar cells: one of them is filled with the gas at density p, and the other is evacuated. After the expansion the density is nearly halved and one measures again the optical path lengths. In order to cancel the small differences in volume and path lengths between the two cells, the process is reversed. Because the linear term in density remains the same before and after the expansion and only the quadratic and higher-order terms change, we can determine the refractivity virial coefficients B /SUB n/ , C /SUB n/ ,... from the change in the optical path lengths. The measurements for the determination of B /SUB n/ and C /SUB n/ for methane, nitrogen, and five mixtures were carried out at 323.15K and pressures up to 450 bar. The mixed-interaction constant for methane and nitrogen derived from the experimental second refractivity virial coefficient is compared with those obtained from the geometric and linear mixing rule as well as Lorentz combination.« less
  • The sound velocity in gaseous pentafluoroethane (HFC-125, CF{sub 3}CHF{sub 2}) has been measured by means of a spherical acoustic resonator. Seventy-two sound-velocity values were measured with an uncertainty of {plus_minus}0.01% at temperatures form 273 to 343 K and pressures form 10 to 250 kPa. The ideal-gas specific heats and the second acoustic-virial coefficients have been determined on the basis of the sound-velocity measurements. The second virial coefficients calculated from the present sound-velocity measurements agree with literature values which were determined from PVT measurements by means of a Burnett method.