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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Langmuir 11 (1995), S. 639-642 
    ISSN: 1520-5827
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 35 (1979), S. 255-259 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: In addition to symmetry rotations (Σ = 1), lattices may admit coincidence-site-lattice (c.s.l.) rotations of various degrees of coincidence, Σ. The conditions for the occurrence of c.s.l, rotations are formulated in general terms by introducing the metric matrix of a lattice. When all lattices are considered, it is found that there are 4Σ possible values for the angle of rotation which give rise to a degree of coincidence Σ. These angles have cosines which are integral multiples of 1/2Σ. A particular lattice admits only some of these c.s.l, rotations. Cubic lattices are discussed in detail and it is shown that the number of permissible rotation angles for each odd value of Σ is approximately 3.414 × √Σ. Conversely, a particular rotation angle originates a c.s.l, of degree of coincidence Σ in those lattices which satisfy particular metric conditions. Finally, the effect of a uniform strain due to temperature or pressure changes is analysed, and it is shown that while symmetry rotations are invariant to this form of strain, only very few c.s.l, rotations are unaffected.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 40 (1984), S. 642-645 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Orientation relationships between two crystal lattices are frequently specified in terms of parallel directions and planes in each lattice. The corresponding matrix, relating the vector bases of the lattices, can be obtained by a general method involving the metric matrices of the two lattices and the crystallographic indices of parallel planes and directions. Equivalent matrices can be defined by changing the lattice bases: different selections of the invariants of such matrices are indicated. Finally, criteria for choosing the 'best' matrix relating the two lattices are discussed in the context of phase transformations and of interfacial structure.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 28 (1972), S. 471-471 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A correction of a typographical error in Fortes [Acta Cryst. (1972), A28, 100] is given.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 29 (1973), S. 68-70 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Tilt and twist components are determined for cubic bicrystals meeting at a planar boundary. It is shown that any boundary is nearly either a twist or tilt boundary, but the distinction between the two types is, in some cases, ambiguous.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 39 (1983), S. 351-357 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A matricial theory of coincidence-site and displacement-shift-complete (DSC) lattices of arbitrary dimension is developed. Vector bases for these lattices can easily be determined from particular factorizations of the matrix defining the relative orientation. Various properties of the two lattices are derived, including the reciprocity relations. The general conditions for coincidence and the problem of coincidence in sublattices of lower dimension are also discussed.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 28 (1972), S. 100-102 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The specification of the boundary between adjacent crystals of the same solid is discussed. It is shown that for planar boundaries the minimum number of parameters required is nine. A convenient choice of the grain boundary parameters is indicated, and their effect on the boundary structure exemplified.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 39 (1983), S. 348-350 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A crystallographic interpretation of the elementary divisor theorem applied to square integral matrices is presented. The concept of a least multiplier of a rational square matrix is introduced and its properties are derived from the theorem. These topics are relevant in the formulation of a general theory of coincidence-site lattices.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 42 (1986), S. 282-286 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A study of the staggered packing of identical hexagonal prisms leading to four-connected periodic structures with polyhedral cells of fourteen faces has been undertaken. Special attention was given to those packings that lead to periodic structures with two polyhedra per lattice point, and such that the two polyhedra are related by a pure rotation and/or enantiomorphism. The general solution for packings of this type was obtained and the topology of the intervening polyhedra was determined. It is shown that polyhedra with eight hexagonal faces and six square faces, topologically isomorphic to the truncated octahedron, can be packed with or without a rotation. The polyhedra which can be packed with the respective enantiomorphs (with or without rotation) have four square faces, four pentagonal faces and six hexagonal faces. Each type of packing is compatible with Bravais lattices of any category and each topological solution is compatible with a range of convex shapes.
    Type of Medium: Electronic Resource
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  • 10
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
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