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Cited by 2,167

The DOI matches its Crossref record.

The Structure of Electronic Excitation Levels in Insulating Crystals

Wannier, Gregory H.·1937·Physical Review
DOI 10.1103/physrev.52.191
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Abstract

In this article, a method is devised to study the energy spectrum for an excited electron configuration in an ideal crystal. The configuration studied consists of a single excited electron taken out of a full band of $N$ electrons. The multiplicity of the state is ${N}^{2}$. It is shown that because of the Coulomb attraction between the electron and its hole ${N}^{\frac{8}{5}}$ states are split off from the bottom of the excited Bloch band; for these states the electron cannot escape its hole completely. The analogy of these levels to the spectrum of an atom or molecule is worked out quantitatively. The bottom of the Bloch band appears as "ionization potential" and the Bloch band itself as the continuum above this threshold energy.

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Metadata

Authors
Wannier, G. H.
Venue
Physical Review
Publisher
American Physical Society (APS)
Published
1937-08-01
Volume
52
Issue
3
Pages
191-197
ISSN
0031-899X (ISSN-L)
DOI
10.1103/physrev.52.191
OpenAlex
W1995696119
Cited by
2,167
References
0
FWCI
1.98
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The Structure of Electronic Excitation Levels in Insulating Crystals. https://app.cochat.ai/papers/10.1103/physrev.52.191
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Wannier, G. H. (1937). The Structure of Electronic Excitation Levels in Insulating Crystals. Physical Review. https://doi.org/10.1103/physrev.52.191

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.