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Journal ArticleDOI

Surface states in crystals

B.A Lippmann
- 01 Jul 1957 - 
- Vol. 2, Iss: 1, pp 16-27
TLDR
In this paper, it was shown that if the potential is real and (for convenience) symmetric, then if E is not V everywhere in the unit cell, there are no band crossings, and hence no Shockley levels.
About
This article is published in Annals of Physics.The article was published on 1957-07-01. It has received 37 citations till now. The article focuses on the topics: Surface states.

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Citations
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Ionic, Covalent, and Metallic Surface States of a One-Dimensional Mathieu Potential with Arbitrary Termination

TL;DR: In this paper, a model of surface states on a one-dimensional crystal with sinusoidal potential has been simply solved for arbitrary values of the sinusoid amplitude $q, lattice termination ${z}_{0}, surface step height $\ensuremath{\xi}$, and band-gap index $m$.
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Auto-ionization in β-decay: A model calculation

TL;DR: In this paper, a theoretical treatment of auto-ionization in β-decay is presented; a one-step model is assumed and explicit account is taken of the indistinguishability of the two continuum negatons.
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Contribution to the theory of the Shockley surface states—I: General formulation and the case of zero deformation of the potential on the goodwin-artmann model

TL;DR: In this article, general equations have been set up for the calculation of orbital energies and wave functions of the electron in a crystal model in which an interaction between atomic s orbitals and p orbitals is assumed.
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Untersuchung der inneren bremsstrahlung von 32P und 90Y: (Winkelkorrelation und spektrum)

TL;DR: In this article, the internal bremsstrahlung of 32 P and 90 Y was studied with various methods of measurement, including the measurement of the energy spectrum and the integral angular correlation of 32P and 90Y at angles Θ = 22.5°, 30°, 45° and 90°.
References
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Journal ArticleDOI

On the Surface States Associated with a Periodic Potential

TL;DR: In this article, the wave functions and energy levels associated with a finite one-dimensional periodic potential field are investigated and the surface levels appear only at lattice constants so small that the boundary curves for the allowed energy bands have crossed.
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The Theory of Metals

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Band Structures of One-Dimensional Crystals with Square-Well Potentials

TL;DR: In this article, the energy band structure for a one-dimensional periodic square-well potential is obtained in terms of the well depth for the whole range of possible ratios of well width to hill width.