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April 15, 1941Physical Review

On the Polar Vibrations of Alkali Halides

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Authors

RLR. H. LyddaneUniversity of North Carolina at Chapel HillRSR. G. SachsZygo (United States)ETEdward TellerUniversity of North Carolina at Chapel Hill

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Implication

Theoretical analysis reveals polar lattice vibration dynamics in alkali halides, indicating frequency ratios depend solely on dielectric constants.

Key Points

  • To formulate a general model describing long-wavelength polar lattice vibrations in alkali halide crystals without relying on specific assumptions about interionic interactions.
  • Defined effective ionic charge as the ratio of induced dipole moment per ion pair to relative ion displacement across a crystal slab.
  • Derived mathematical expressions for longitudinal and transverse vibrational frequencies using macroscopic dielectric constants and the effective charge.
  • Obtained the frequency ratio formula relating longitudinal and transverse modes as the square root of the ratio of static to optical dielectric constants.
  • Demonstrated that the ratio of longitudinal to transverse vibrational frequencies is completely independent of the effective ionic charge.

Cite This Study

Lyddane et al. (1941) studied this question.

synapsesocial.com/papers/6a1bd395ea84844e355f09d0https://doi.org/10.1103/physrev.59.673
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Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The mean free path of electrons in polar crystals1939 · 126 citations
  2. 2Lattice Vibrations in Polar Crystals1938 · 97 citations