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Integral reflection conditions

  • Page ID
    17709
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    The integral reflections are the general reflection conditions due to the centering of cells. They are given in the table below:

    Integral reflection conditions for centered lattices.

    Reflection
    condition
    Centering type of cell Centering symbol
    None Primitive P
    R (rhombohedral axes)
    h + k = 2n C-face centered C
    k + l = 2n A-face centered A
    l + h = 2n B-face centered B
    h + k + l = 2n body centered I

    h + k, h + l and

    k + l = 2n or:
    h, k, l all odd or all

    even (‘unmixed’)

    all-face centered F
    h + k + l = 3n

    rhombohedrally

    centered, reverse

    setting

    R (hexagonal axes)
    hk + l = 3n

    rhombohedrally

    centered, obverse

    setting (standard)

    hk = 3n hexagonally centered H

    Integral reflection conditions is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Online Dictionary of Crystallography.

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