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Elastic Reflection of Atoms from Crystals

Clarence Zener*

  • Palmer Physical Laboratory, Princeton University

  • *National Research Fellow.

Phys. Rev. 40, 178 – Published 15 April, 1932

DOI: https://doi.org/10.1103/PhysRev.40.178

Abstract

The reflection of atoms by a crystal surface is examined by a modification of the Born collision method. The fraction of reflections in which all the normal coordinates of the crystal remain unaltered is found to be approximately U=e3π2(mAmB)(tAΘ)2(tBΘ)(1+4πdλ). mA, mB are the masses of the reflected atom A and of the lattice atoms, respectively. The energy of atom A is ktA. The temperature of the lattice is tB. Θ is the characteristic temperature of the lattice. d is the distance in which the mutual repulsion between atom A and lattice atoms falls to one e'th its value. λ is the de Broglie wave-length of atom A. For reflection of H atoms on LiF at room temperature, U is estimated to be 0.9. When Θ and tA are comparable, those normal coordinates are found to be most readily excited which have the lowest frequency.

References (8)

  1. T. H. Johnson, Phys. Rev. 37, 847 (1931) J. K. Roberts, Proc. Roy. Soc. 129, 155 (1930)
  2. M. Born and T. v. Karman, Phys. Zeits. 13, 297 (1912)
  3. P. Dirac, Principles of Quantum Mechanics, Oxford Press (1930), p. 176
  4. C. Zener, Phys. Rev. 37, 556 (1931)
  5. [4]
  6. [4], Section II
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  8. T. H. Johnson, Phys. Rev. 35, 650 (1930)

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