Anisotropic and anharmonic effects through the t-matrix for Low- Energy Electron Diffraction (TMAT V1.1). P.L. de Andres, D.A. King.

PROGRAM SUMMARY
Title of program: TMAT
Catalogue identifier: ADOT
Ref. in CPC: 138(2001)281
Distribution format: gzip file
Operating system: Digital UNIX V5.0
High speed store required: 32MK words
Number of bits in a word: 64
Number of lines in distributed program, including test data, etc: 2746
Keywords: Solid state physics, LEED, Low-Energy Electron Diffraction, Anisotropic/anharmonic vibrations, Full dynamical theories, Multiple scattering calculations, T-matrix (expansions in cumulants or multipoles).
Programming language used: Fortran
Computer: Alpha ev6-21264(700Mhz) .

Nature of problem:
We describe the FORTRAN-90 program TMAT v1.1 for the computation of non-diagonal t-matrices representing anisotropic and/or anharmonic atomic vibrations. TMAT can be integrated easily in any standard Low-Energy Electron Diffraction program.

Method of solution:
The vibration of atoms in an anisotropic and/or anharmonic potential is described by a probability distribution function. By expanding this probability distribution function either in cumulants or in multipoles we compute a scattering t-matrix that represents the effects of thermal vibrations, static disorder and/or anharmonicity in the scattering of electrons by atoms.

Typical running time:
Using the cumulants method, a single energy takes 2.5 seconds for lmax = 9. Running time scales with lmax^6.

References:

 [1] J.B. Pendry, Low-Energy Electron Diffraction, (Academic, 1974).     
 [2] V. Fritzsche, Phys. Rev. B 50, 1922 (1994).                         
 [3] W. Moritz, J. Landskron, Surf. Sci. 337, 278 (1995).