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)
