What question did this study set out to answer?

To establish mathematical methods for evaluating crystal potential constants and identify the cubic crystal structure possessing the least potential energy.

April 1, 1925Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical CharacterOpen Access

On the calculation of certain crystal potential constants, and on the cubic crystal of least potential energy

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To establish mathematical methods for evaluating crystal potential constants and identify the cubic crystal structure possessing the least potential energy.
Modeled interatomic forces as a series of inverse powers of the distance between interacting atoms.
Formulated mathematical lattice summations to compute the total potential energy of cubic crystal arrangements.
Derived analytical steps necessary to calculate potential energy functions in cubic crystal lattices without requiring simplified approximations.
Provided a theoretical basis to determine which specific cubic configuration achieves the minimum potential energy under generalized inverse-power force laws.

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Implication

Theoretical modeling demonstrates potential energy calculations for cubic crystals, indicating configurations that yield minimum potential energy.

Cite This Study

Jones et al. (1925) studied this question.

synapsesocial.com/papers/6a0f05f82eca052da64806d5 https://doi.org/10.1098/rspa.1925.0047

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Implication

Theoretical modeling demonstrates potential energy calculations for cubic crystals, indicating configurations that yield minimum potential energy.

On the calculation of certain crystal potential constants, and on the cubic crystal of least potential energy

Key Points

Discussion

Implication

Cite This Study

On the calculation of certain crystal potential constants, and on the cubic crystal of least potential energy

Key Points

Discussion

Implication

Cite This Study

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