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The Effect of the Surface Termination on Force Constants and Dispersion Curves

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Atomic Scale Dynamics at Surfaces

Part of the book series: Springer Series in Surface Sciences ((SSSUR,volume 63))

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Abstract

The Born-von Kármán model introduced in the previous Chapter, is used to illustrate how the invariance properties of the total energy, the equilibrium conditions and the emergence of the surface stress affect the surface force constants in the surface region and the surface phonon dispersion curves. Then the effects of extended surface and interplanar force constant perturbations, which in the case of metals may involve several layers, are discussed.

As regards the Atomicists, it is not only clear what their explanation is;

it is also obvious that it follows with tolerable consistency

from the assumptions they employ.

Aristotle 384–332 BC

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Authors and Affiliations

  1. Università di Milano-Bicocca, Milan, Italy

    Prof. Giorgio Benedek

  2. Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany

    Prof. Dr. Jan Peter Toennies

  3. Donostia International Physics Center, Donostia/San Sebastian, Spain

    Prof. Giorgio Benedek

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  1. Prof. Giorgio Benedek
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  2. Prof. Dr. Jan Peter Toennies
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Correspondence to Giorgio Benedek .

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Benedek, G., Toennies, J.P. (2018). The Effect of the Surface Termination on Force Constants and Dispersion Curves. In: Atomic Scale Dynamics at Surfaces. Springer Series in Surface Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-56443-1_4

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  • DOI: https://doi.org/10.1007/978-3-662-56443-1_4

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