In lattice dynamics we want to find the normal modes of vibration of a crystal.
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Cochran went on to study neutron diffraction with Bertram Brockhouse and used lattice dynamics and to explain the phenomenon of ferroelectricity in terms of lattice instabilities.
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One is the " slab method ", which approaches the problem using lattice dynamics for a solid with parallel surfaces, and the other is based on Green s functions.
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There is evidence of significant charge transfer from B 2 pairs to the B 12 icosahedra in this structure; in particular, lattice dynamics suggests the presence of significant long-range electrostatic interactions.
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Venkataraman, a distinguished professor of DRDO, has done advanced research in subjects such as neutron scattering, lattice dynamics, mechanical properties of matter, non-crystalline state, neutral networks and image processing.
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For broad surface phonon phenomena, the conventional lattice dynamics method can be used; for the study of lattice defects, resonances, or phonon state density, the Green s function method yields more useful results.
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Later, Tolpygo generalized his theory to describe homopolar crystals ( Si, Ge, diamond, etc . ), cryocrystals of noble gases, and molecular crystals by introducing long-range Coulomb interactions in their lattice dynamics.
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His work deals with continuum mechanics, including relativistic continuum mechanics, micro magnetism, electrodynamics of continua, thermo mechanics, surface waves and nonlinear waves in continua, lattice dynamics, material equations and biomechanical applications ( tissue growth ).
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The model has been, and is, used by many research scientists for calculating elastic constants, lattice dynamics, band structure, dislocation strains, atomic configurations at surfaces and interfaces, and other purposes for a wide range of solids, including amorphous ( i . e ., non-crystalline ) materials.
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The BOLS model and the core shell structure have been applied to other size dependency of nanostructures such as the mechanical strength, chemical and thermal stability, lattice dynamics ( optical and acoustic phonons ), Photon emission and absorption, electronic colevel shift and work function modulation, magnetism at various temperatures, and dielectrics due to electron polarization etc . Reproduction of experimental observations in the above-mentioned size dependency has been realized.
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