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## A Theory of Anharmonic Lattice Statics for Analysis of Defective CrystalsPosted by: Computer Science Clay Created at: Saturday 06th of June 2009 11:08:37 PM Last Edited Or Replied at :Saturday 06th of June 2009 11:08:37 PM | Crystals ,
Defective,
Analysis ,
Statics,
lattice electro optics ,
lattice energy of mgf2,
lattice energy of cao ,
lattice energy equation,
lattice energy calculator ,
lattice energy table,
lattice engines ,
lattice energy trends,
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lattice door ,
lattice dough cutter,
lattice deck ,
lattice dystrophy,
lattice division ,
lattice designs,
lattice degeneration ,
lattice crane,
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Lattice,
Anharmonic ,
Theory,
| ||

lattices. This theory differs from the classical treatments of lattice statics in that it does not
rely on knowledge of force constants for a limited number of nearest neighbor interactions. Instead,
the only thing needed as input is an interatomic potential that models the interaction of atoms this
theory takes into account the fact that close to defects force constants are different from those in
the bulk crystal. This formulation of lattice statics reduces the analysis of defective crystals to
solving discrete boundary-value problems which consist of system of difference equations with some..................[:=> Show Contents <=:] | |||

## A Theory of Anharmonic Lattice Statics for Analysis of Defective CrystalsPosted by: Computer Science Clay Created at: Saturday 06th of June 2009 11:08:37 PM Last Edited Or Replied at :Saturday 06th of June 2009 11:08:37 PM | Crystals ,
Defective,
Analysis ,
Statics,
lattice electro optics ,
lattice energy of mgf2,
lattice energy of cao ,
lattice energy equation,
lattice energy calculator ,
lattice energy table,
lattice engines ,
lattice energy trends,
lattice energy ,
lattice deck railing,
lattice door ,
lattice dough cutter,
lattice deck ,
lattice dystrophy,
lattice division ,
lattice designs,
lattice degeneration ,
lattice crane,
lattice capital management ,
lattice cutter,
lattice corneal dystrophy ,
lattice covers,
lattice crust ,
lattice constant,
lattice communications ,
Lattice,
Anharmonic ,
Theory,
| ||

lly, the discrete governing equations are linearized about a reference configuration that resembles
a nominal defect. Fully nonlinear solutions are obtained by modified Newton-Raphson iterations of
the harmonic solutions. In this theory, defective crystals are classified into three groups:
defective crystals with 1-D symmetry reduction, defective crystals with 2-D symmetry reduction, and
defective crystals with no symmetry reduction. Our theory systematically reduces the discrete
governing equations for defective crystals with 1-D and 2-D symmetry reductions to ordinary
difference equations an..................[:=> Show Contents <=:] |

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