Tetrahedral hard sphere model: Difference between revisions
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The '''tetrahedral hard sphere model''' consists of four [[hard sphere model | hard spheres]] located on the vertices of a [[Hard tetrahedron model | regular tetrahedron]]. | The '''tetrahedral hard sphere model''' consists of four [[hard sphere model | hard spheres]] located on the vertices of a [[Hard tetrahedron model | regular tetrahedron]]. | ||
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<references/> | <references/> | ||
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[[category: models]] | [[category: models]] | ||
Latest revision as of 15:05, 12 May 2010
The tetrahedral hard sphere model consists of four hard spheres located on the vertices of a regular tetrahedron.
Second virial coefficient[edit]
The second virial coefficient is given by ([1] Eq.5):
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{B_2^*}{4V_m^*} = 1 + \frac{UL^* + VL^{*3}}{4}}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle L^*} is the reduced elongation, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V_m^*} is the corresponding reduced volume, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle U=0.72477} and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V=4.730} .
Equation of state[edit]
The equation of state is given by ([1] Eq. 17):
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{\beta P}{\rho} = \frac{1+(1+UL^* + VL^{*3})y + (1+WL^* + XL^{*4})y^2 - (1+ ZL^{*3})y^3}{(1-y)^3}}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle U=0.72477}
, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V=4.730}
, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle W=1.3926}
, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X=24.78}
and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Z=7.69}
.
References[edit]
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