Geodesic
Determining the Mie potential parameters using Poisson's ratio
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 34-38

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The known value of Poisson's ratio specifying the relation between the strains along the principal directions in the case of uniaxial strain is used to propose an approach to derive an equation relating this ratio to the exponents of the Mie pair potential. An example of determining one of these exponents is discussed when the other exponent is given. 
@article{VMUMM_2017_6_a5,
     author = {G. Z. Sharafutdinov},
     title = {Determining the {Mie} potential parameters  using {Poisson's} ratio},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {34--38},
     publisher = {mathdoc},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a5/}
}
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G. Z. Sharafutdinov. Determining the Mie potential parameters  using Poisson's ratio. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 34-38. http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a5/