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Crystalline materials (mainly metals and alloys, but also stoichiometric salts and other materials) are made up of solid regions of ordered matter (atoms placed in one of a number of ordered formations called Bravais lattices). These regions are known as crystals. A perfect crystal is a crystal that contains no point, line, or planar defects.[1] There are a wide variety of crystallographic defects.
The hypothetical concept of a perfect crystal is important in the basic formulation of the third law of thermodynamics.
In crystallography, the phrase 'perfect crystal' can be used to mean "no linear or planar imperfections", as it is difficult to measure small quantities of point imperfections in an otherwise defect-free crystal.
Imperfections are created by various thermodynamic processes.
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formations called Bravais lattices). These regions are known as crystals. A perfectcrystal is a crystal that contains no point, line, or planar defects. There...
scattering intensity. F h k ℓ {\displaystyle F_{hk\ell }} is defined for a perfectcrystal, and is used in crystallography, while S ( q ) {\displaystyle S(\mathbf...
of atom is present in a crystal. For example, a perfectcrystal of diamond would only contain carbon atoms, but a real crystal might perhaps contain a...
visualized without the dislocation, that is, the perfectcrystal structure. In this perfectcrystal structure, a rectangle whose lengths and widths are...
pp. 189–190) A perfectcrystal is one in which the internal lattice structure extends uninterrupted in all directions. The perfect order can be represented...
with the atoms of a crystal — for example in Umklapp processes. Quasimomentum, however, is conserved in a perfectcrystal. Time crystals show a broken symmetry...
entropy of a perfectcrystal of a pure substance approaches zero as the temperature approaches zero. The alignment of a perfectcrystal leaves no ambiguity...
In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions, or molecules in a crystalline material. Ordered structures...
molecules are highly organized into a structure known as a crystal. Some ways by which crystals form are precipitating from a solution, freezing, or more...
stress at which neighbouring atomic planes slip over each other in a perfectcrystal suggests that, for a material with shear modulus G {\displaystyle G}...
monoxide crystal is cooled to absolute zero, few of the carbon monoxide molecules have enough time to align themselves into a perfectcrystal (with all...
notation. Vacancy defects are lattice sites which would be occupied in a perfectcrystal, but are vacant. If a neighboring atom moves to occupy the vacant site...
periodic lattice of a one-dimensional crystal. Atomic positions oscillate, so that the perfect order of the 1-D crystal is broken. Peierls' theorem states...
6°. The following formulas show the measurements for the face of a perfectcrystal (which is rarely found in nature). Height = 5 2 ⋅ Long side {\displaystyle...
of thermodynamics. However, this assumes that the material forms a 'perfectcrystal' without any residual entropy. This can be due to crystallographic...
determined by the degeneracy of the ground state. Many systems, such as a perfectcrystal lattice, have a unique ground state and therefore have zero entropy...
Scattering of X-Rays in Crystals. Springer, 1978. B. E. Warren: X-ray diffraction. Addison-Wesley, 1969 (chapter 14: perfectcrystal theory). W. H. Zachariasen:...
Amos. It is working on another Tomb Raider game and co-developing Perfect Dark. Crystal Dynamics was founded by Madeline Canepa, Judy Lange, and Dave Morse...
of crystal plane orientations. A mosaic crystal is an idealized model of an imperfect crystal, imagined to consist of numerous small perfectcrystals (crystallites)...
the electrical properties of crystals. In particular, they predicted that the motion of electrons in a perfectcrystal under the action of a constant...
as metals and ceramics) are microstructured. The manufacture of a perfectcrystal of a material is physically impossible. For example, any crystalline...
structure. By contrast, perfectcrystals (lacking defects) would grow exceedingly slowly. On the other hand, impurities can act as crystal growth inhibitors...
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