By Anthony A. Kelly, Kevin M. Knowles
The purpose of this re-creation of Crystallography and Crystal Defects is to speak the fashionable thoughts of crystallography in a transparent, succinct, demeanour and to place those options into use within the description of line and planar defects in crystalline fabrics, quasicrystals and crystal interfaces.
Since the 1st version of this publication, realizing of crystal defects similar to dislocations, stacking faults, dual, grain and interphase limitations and their impression at the mechanical and electric houses of fabrics has grown vastly, and this has been observed via a complete switch standard of ways during which either study and instructing are conducted by using the short electronic computing device. This re-creation takes account of this modification and a few new issues are integrated, for instance piezoelectricity, liquid crystals, nanocrystalline ideas, incommensurate fabrics and the constitution of foamed and amorphous fabrics. the subject of quasicrystalline fabrics has been thoroughly rewritten, and the information tables and references were absolutely updated.
Reinforcing its unrivalled place because the middle textual content for instructing crystallography and crystal defects, every one bankruptcy comprises challenge units with short numerical recommendations on the finish of the ebook. special labored suggestions, supplementary lecture fabric and desktop courses for crystallographic calculations are supplied online.
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Extra resources for Crystallography and Crystal Defects (2nd Edition)
By choosing a, b, c appropriately we can always ensure that the cell is primitive. Although this lattice contains no axis of rotational symmetry, the set of lattice points is of course necessarily centrosymmetric. To preserve two-fold symmetry we can proceed in one of two different ways. 20b. 19 Unit cells of the 14 Bravais space lattices. (a) Primitive triclinic. (b) Primitive monoclinic. (c) Side-centred monoclinic – conventionally the two-fold axis is taken parallel to y and the (001) face is centred (C-centred).
To see this, let A, A′ be two lattice points of a net and let the vector t joining them be a lattice translation vector defining one edge of the unit cell. 15b. It cannot be placed arbitrarily anywhere in between A and A′. 15b. Since AA′ determines a row of lattice points, a net can be built up consistent with mirror symmetry by placing a row identical to AA′ parallel with AA′, but displaced from it. 16, with the original lattice vector t indicated and all of the mirror planes consistent with the arrangement of the lattice points marked on the two diagrams.
15b. It cannot be placed arbitrarily anywhere in between A and A′. 15b. Since AA′ determines a row of lattice points, a net can be built up consistent with mirror symmetry by placing a row identical to AA′ parallel with AA′, but displaced from it. 16, with the original lattice vector t indicated and all of the mirror planes consistent with the arrangement of the lattice points marked on the two diagrams. 14d and e. 14a, the left-hand diagram shows the net of points consistent with a two-fold axis of symmetry normal to the net and with no axis of higher symmetry.