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- W2154994308 abstract "The atomic view of a crystal is as a periodic arrangement of local atomic bonding units. Each lattice point defines the location of the center of a unit. The space lattice is macroscopically homogeneous. Embedded in each lattice point is a group of bonded atoms, the smallest structural unit of the crystal. The structure of the unit together with the network of lattice points determines the crystal structure and hence the physical properties of the material. For crystals that have more than one atom in the unit cell, elastic distortions give rise to wave propagation of two types: acoustic and optic. In the acoustic type, all atoms in the unit cell move essentially in the same phase, resulting in deformation of the lattice. In the optical type, atoms move within the unit cell, leave the lattice unchanged, and give rise to internal deformations. In real material response, atomic vibrations usually include simultaneous lattice deformation and internal deformation. The displacement of the -th atom in the k-th unit cell, u(k, ) is in fact a sum of the lattice displacement u(k) and the internal displacement (k," @default.
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- W2154994308 date "2006-08-01" @default.
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- W2154994308 title "Conservation laws at nano/micro scales" @default.
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