By Professor Dr. Sc. Alexandr I. Gusev, Professor Dr. Sc. Andrej A. Rempel, Professor Dr. Andreas J. Magerl (auth.)
This ebook embraces the total variety of difficulties linked to nonstoichiometry, sickness and order in solids. even if dealing essentially with transition steel carbides, nitrides and oxides, the equipment and types offered are appropriate to all structures with substitutional illness they usually allow a unified method of the constitution, section diagrams and different actual and chemical houses of those structures. This booklet might be valuable for physicists addressing the issues of order and ailment in solids, for chemists more and more acutely aware that most of traditional and artificial fabrics are nonstoichiometric, and for crystallographers learning new and strange crystal constructions. fabrics scientists utilizing refractory compounds to create novel superhard and hard fabrics or fabrics for contemporary electronics will locate crucial info at the interaction among structural results and lots of varied homes of transition steel compounds. greater than one thousand references are given during this book.
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Extra info for Disorder and Order in Strongly Nonstoichiometric Compounds: Transition Metal Carbides, Nitrides and Oxides
Example text
In terms ofthe Seitz notation, net translations are designated {Elt} or {hilt}. For symmorphic groups th = 0 and therefore their revolving elements are elements of the type {hkIO}. 2 Reciprocal Lattice and Wave Vectors Reciprocal Space and Reciprocal Lattice. All physical quantities, which characterize properties of the crystal structure, possess the lattice periodicity. Among these quantities is, for example, the probability that an atom is located at some site of the lattice or the charge density formed by electrons.
Crystal Symmetry 21 The choice of the conventional lattice bases should satisfy the following conditions: 1. The lattice basis should correspond to the crystal symmetry and have one ofthe seven point groups of symmetry depending on the system to which the crystal belongs. 2. If the first condition is met, the number of right angles in the cell should be a maximum. 3. If the first and second conditions are met, the cell should have a minimum volume. The Seitz cell is often used in solid-state physics to describe a crystal.
If the first condition is met, the number of right angles in the cell should be a maximum. 3. If the first and second conditions are met, the cell should have a minimum volume. The Seitz cell is often used in solid-state physics to describe a crystal. In this case, some point of the lattice, which is the center of symmetry, is taken as the center of the cell. Connecting vectors are drawn from the chosen center to the nearest equivalent sites and then planes are constructed, which are perpendicular to and bisect these vectors.