Two-body relationship between the pearson-takai-halicioglu-tiller and the biswas-hamann potential functions
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876477705825812480 |
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| author | Teik-Cheng Lim |
| author_facet | Teik-Cheng Lim |
| contents | Two-body relationship between the pearson-takai-halicioglu-tiller and the biswas-hamann potential functions Teik-Cheng Lim Física, Astronomía y Matemáticas An approximate and a good parametric relationship between the Pearson-Takai-Halicioglu-Tiller (PTHT)and the Biswas-Hamann (BH) empirical potential energy functions is developed for the case of 2-body interaction.The approximate relationship between PTHT and BH was obtained by equating the zeroth up to thesecond order of the potential functions derivative with respect to the interatomic distance at the equilibriumbond length, followed by comparison of coefficients at the repulsive and attractive terms. A refined relationshipwas then suggested by including the third order derivative. Plots of non-dimensional 2-body energy versus thenon-dimensional interatomic distance verified the analytical relationships developed herein. Finally, the physicalsignificance of the developed parametric relationships is discussed with reference to conservative designmethodology. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435410 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.35 |
| format | Artículo científico |
| id | redalyc_46435410 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Two-body relationship between the pearson-takai-halicioglu-tiller and the biswas-hamann potential functions Teik-Cheng Lim Física, Astronomía y Matemáticas Two-body relationship between the pearson-takai-halicioglu-tiller and the biswas-hamann potential functions Teik-Cheng Lim Física, Astronomía y Matemáticas An approximate and a good parametric relationship between the Pearson-Takai-Halicioglu-Tiller (PTHT)and the Biswas-Hamann (BH) empirical potential energy functions is developed for the case of 2-body interaction.The approximate relationship between PTHT and BH was obtained by equating the zeroth up to thesecond order of the potential functions derivative with respect to the interatomic distance at the equilibriumbond length, followed by comparison of coefficients at the repulsive and attractive terms. A refined relationshipwas then suggested by including the third order derivative. Plots of non-dimensional 2-body energy versus thenon-dimensional interatomic distance verified the analytical relationships developed herein. Finally, the physicalsignificance of the developed parametric relationships is discussed with reference to conservative designmethodology. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435410 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.35 |
| title | Two-body relationship between the pearson-takai-halicioglu-tiller and the biswas-hamann potential functions |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435410 |