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    Bravais Lattices

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    Arg Sreekar
    This document describes the 14 Bravais lattices used in crystallography, grouped by their crystal system. It lists the space lattice, Bravais lattice designation, and Pearson symbol for each. It notes that for monoclinic lattices, the choice of labeling the face with a lattice point at its center (a, b, or c) is arbitrary and does not change the actual lattice translations.

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    Bravais Lattices

    Uploaded by

    Arg Sreekar
    99 views1 page
    This document describes the 14 Bravais lattices used in crystallography, grouped by their crystal system. It lists the space lattice, Bravais lattice designation, and Pearson symbol for each. It notes that for monoclinic lattices, the choice of labeling the face with a lattice point at its center (a, b, or c) is arbitrary and does not change the actual lattice translations.

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    This document describes the 14 Bravais lattices used in crystallography, grouped by their crystal system. It lists the space lattice, Bravais lattice designation, and Pearson symbol for each. It notes that for monoclinic lattices, the choice of labeling the face with a lattice point at its center (a, b, or c) is arbitrary and does not change the actual lattice translations.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    99 views1 page

    Bravais Lattices

    Uploaded by

    Arg Sreekar
    This document describes the 14 Bravais lattices used in crystallography, grouped by their crystal system. It lists the space lattice, Bravais lattice designation, and Pearson symbol for each. It notes that for monoclinic lattices, the choice of labeling the face with a lattice point at its center (a, b, or c) is arbitrary and does not change the actual lattice translations.

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    © All Rights Reserved
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    The 14 Space (Bravais) Lattices

    and Their Pearson Symbols


    Crystal system
    Triclinic (anorthic)
    Monoclinic
    Orthorhombic

    Tetragonal
    Hexagonal
    Rhombohedral
    Cubic

    Space lattice
    Primitive
    Primitive
    Base-centered(a)
    Primitive
    Base-centered(a)
    Face-centered
    Body-centered
    Primitive
    Body-centered
    Primitive
    Primitive
    Primitive
    Face-centered
    Body-centered

    Bravais Lattice
    aP
    mP
    mS (formerly mA, mB, mC)
    oP
    oS (formerly oA, oB, oC)
    oF
    oI
    tP
    tI
    hP
    hR
    cP
    cF
    cI

    Pearson symbol
    aP*
    mP*
    mS*
    oP*
    oS*
    oF*
    oI*
    tP*
    tI*
    hP*
    hR*
    cP*
    cF*
    cI*

    * = sum of multiplicities of all atom sites in the structure


    (a) The face that has a lattice point at its center may be chosen as the c face (the xy plane), denoted by the symbol C, or as the a or b
    face, denoted by A or B, because the choice of axes is arbitrary and does not alter the actual translations of the lattice. The letter S has
    been recommended by a subcommission of the International Union of Crystallography, since this notation is independent of the actual
    space group setting. C and S are used interchangeably here, depending on the convention followed by the author and/or editor.

    ASM Alloy Phase Diagrams Center, P. Villars, editor-in-chief; H. Okamoto and K. Cenzual, section editors;
    www.asminternational.org/AsmEnterprise/APD, ASM International, Materials Park, OH, USA, 2007
    ASM International 2007. All Rights Reserved.

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