Z1 and Z2 potentials: Difference between revisions

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The '''Z potential''' is given by (Eq. 1 in <ref>[http://dx.doi.org/10.1063/1.1534831  Jonathan P. K. Doye, David J. Wales, Fredrik H. M. Zetterling, and Mikhail Dzugutov " The favored cluster structures of model glass formers", Journal of Chemical Physics '''118''' pp. 2792-2799 (2003)]</ref>)
The '''Z potentials''' ('''Z1''' and '''Z2''') are given by (Eq. 1 in <ref>[http://dx.doi.org/10.1063/1.1534831  Jonathan P. K. Doye, David J. Wales, Fredrik H. M. Zetterling, and Mikhail Dzugutov " The favored cluster structures of model glass formers", Journal of Chemical Physics '''118''' pp. 2792-2799 (2003)]</ref>)


:<math>\Phi_{12}(r) =  a \frac{e^{\alpha r}}{r^3} \cos (2k_Fr) + b \left( \frac{\sigma}{r} \right)^n + V_0 </math>
:<math>\Phi_{12}(r) =  a \frac{e^{\alpha r}}{r^3} \cos (2k_Fr) + b \left( \frac{\sigma}{r} \right)^n + V_0 </math>
==Parameters==
==Parameters==
The following parameters are taken from Table I
{| style="width:65%; height:100px" border="1"
|-
|  || a || <math>\alpha</math> || <math>k_F</math> || b || <math>\sigma</math> || n || <math>r_c</math> || <math>V_0</math>
|- 
| Z1 || 1.58 || –0.22 || 4.120 ||4.2 <math>\times 10^8</math>  || 0.331 || 18.0 || 2.64909  || 0.04682632
|-
| Z2 || 1.04 || 0.33 || 4.139 || 4.2 <math>\times 10^7</math> || 0.348 || 14.5 || 2.64488 || 0.13391543
|}
==See also==
==See also==
*[[Dzugutov potential]]
*[[Dzugutov potential]]
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==References==
==References==
<references/>
<references/>
'''Related reading'''
*[http://dx.doi.org/10.1063/1.3213616 Måns Elenius and Mikhail Dzugutov "Evidence for a liquid-solid critical point in a simple monatomic system", Journal of Chemical Physics 131, 104502 (2009)]
*[http://dx.doi.org/10.1063/1.3493456 Måns Elenius, Tomas Oppelstrup, and Mikhail Dzugutov "Evidence for a simple monatomic ideal glass former: The thermodynamic glass transition from a stable liquid phase", Journal of Chemical Physics '''133''' 174502 (2010)]
[[category: models]]
[[category: models]]
[[category: metals]]
[[category: metals]]
{{numeric}}

Latest revision as of 15:13, 2 November 2010

The Z potentials (Z1 and Z2) are given by (Eq. 1 in [1])

Parameters[edit]

The following parameters are taken from Table I

a b n
Z1 1.58 –0.22 4.120 4.2 0.331 18.0 2.64909 0.04682632
Z2 1.04 0.33 4.139 4.2 0.348 14.5 2.64488 0.13391543

See also[edit]

References[edit]

Related reading

This page contains numerical values and/or equations. If you intend to use ANY of the numbers or equations found in SklogWiki in any way, you MUST take them from the original published article or book, and cite the relevant source accordingly.