What question did this study set out to answer?

Determine a consistent set of electronic polarizabilities for individual crystal ions using experimental refraction data and evaluate the validity of the additivity assumption.

November 15, 1953Physical Review

Electronic Polarizabilities of Ions in Crystals

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Authors

JTJack R. TessmanTufts University AKArnold H. KahnNational Institute of Standards and Technology WSW. ShockleyUniversity of North Carolina at Chapel Hill

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Implication

Computational analysis demonstrates consistent ionic polarizabilities across alkali-halide crystals, indicating optimal refractive modeling with a 4π/3 Lorentz factor.

Key Points

Determine a consistent set of electronic polarizabilities for individual crystal ions using experimental refraction data and evaluate the validity of the additivity assumption.
Applied a least-squares fitting procedure to experimental refraction data across crystals under a simple additivity model.
Tested multiple values of the Lorentz factor to identify optimal fit parameters, establishing 4π/3 as the best factor.
Extrapolated individual electronic polarizability values at the sodium D line for alkali halides and a broad series of additional cations and anions.
Calculated electronic polarizability values for alkali-halide crystals agreed with experimental refraction data within 3 percent, with the exception of fluorides.
Established standard ionic polarizabilities (in Å³) for numerous ions, including Li⁺ (0.03), Na⁺ (0.41), K⁺ (1.33), F⁻ (0.64), Cl⁻ (2.96), and Ba⁺⁺ (2.5).
Observed wide polarizability ranges for several multivalent anions, such as O⁻⁻ (0.5–3.2 Å³) and S⁻⁻ (4.8–5.9 Å³), indicating a failure of simple additivity in these species.

Cite This Study

Tessman et al. (1953) studied this question.

synapsesocial.com/papers/69d6b2dce328128020aa80d7 https://doi.org/10.1103/physrev.92.890

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Implication

Computational analysis demonstrates consistent ionic polarizabilities across alkali-halide crystals, indicating optimal refractive modeling with a 4π/3 Lorentz factor.

Electronic Polarizabilities of Ions in Crystals

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Implication

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Cite This Study

Electronic Polarizabilities of Ions in Crystals

Discussion

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Implication

Key Points

Cite This Study

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