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Q: Prove the interatomic distance in lennard Jones 6-12 potential?
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When did John Lennard-Jones die?

John Lennard-Jones died in 1954.


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John Lennard-Jones was born in 1894.


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That is an extremely odd way of phrasing it.The energy between two bonded atoms is the bond energy, but it's not the amount of energy required to "keep them held together", it's the energy required to pull them APART.If the atoms aren't bonded, then the force required to keep them together is a function of the distance between them (and the types of atoms they are). The usual approximation is the Lennard-Jones potential, which at the "holding them together" distance is usually described by a twelfth-degree polynomial, but I should stress again that this is an approximation.


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The kinetic diameter of a molecule is typically estimated based on its van der Waals radius, which can be found in reference tables. Another approach is to use the Lennard-Jones potential parameters for the molecule to calculate its interaction potential with a surface, and then derive an effective size from this interaction potential. These methods can provide an approximation of the molecule's size for practical purposes.


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The viscosity of a gaseous mixture can be calculated using the Chapman-Enskog equation, which takes into account the molecular weights, sizes, and collision cross-sections of the gas molecules in the mixture. The viscosity is typically expressed in terms of the collision diameter and the Lennard-Jones potential parameters of the gas molecules. Various empirical correlations and models may also be used to estimate the viscosity of gaseous mixtures under different conditions.


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