Z1 and Z2 potentials: Difference between revisions
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The '''Z | 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]] | ||
Line 9: | Line 18: | ||
==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 14:13, 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
- Måns Elenius and Mikhail Dzugutov "Evidence for a liquid-solid critical point in a simple monatomic system", Journal of Chemical Physics 131, 104502 (2009)
- 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)