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  • Note 5
    C is not the Dynamical Law itself but a per se determination Such determinations are nevertheless direct manifestations of the Dynamical Law implying that the ensuing argument is still correct

    Original URL path: http://www.metafysica.nl/crystals_rev_note5.html (2016-02-01)
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  • Note 6
    to coincide with itself and now we subject this result to a second symmetry operation say a rotation or a reflection resulting in the object again coinciding with itself This means that the combined operation is itself a symmetry operation that should be identical to one of the symmetry operations of the above mentioned set If any combination of symmetry operations of the set results in an operation that is

    Original URL path: http://www.metafysica.nl/crystals_rev_note6.html (2016-02-01)
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  • Note 7
    Note 7 It is because of the smallness of these distances that we can consider the crystal lattice as indefinitely extended in space back to main text

    Original URL path: http://www.metafysica.nl/crystals_rev_note7.html (2016-02-01)
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  • Note 8
    these lattices interpenetrate each other one consisting of Na atoms the other of Cl atoms Crystals of the mineral Fluorite CaF 2 on the other hand are also based on two interpenetrating lattices but in this case one of them is a face centered cubic lattice like in Salt consisting of Ca atoms and the other is a primitive cubic lattice i e without equivalent atoms in the centers of

    Original URL path: http://www.metafysica.nl/crystals_rev_note8.html (2016-02-01)
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  • Note 9
    9 The after the numeral 3 is written as a score above the numeral in the crystallographic literature Its meaning is here a 3 fold roto inversion axis back to

    Original URL path: http://www.metafysica.nl/crystals_rev_note9.html (2016-02-01)
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  • Note 10
    structure to be impossible The only rotations i e rotational symmetries that are compatible with a translative periodic repetitive pattern are 1 fold 360 degrees rotation 2 fold 180 degrees rotation 3 fold 120 degrees rotation 4 fold 90 degrees

    Original URL path: http://www.metafysica.nl/crystals_rev_note10.html (2016-02-01)
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  • Note 11
    points describing the actual periodic structure of a real pattern So we would be persuaded to consider such a point as the smallest repeating unit In itself this is correct but a unit cell means the smallest repeating unit having

    Original URL path: http://www.metafysica.nl/crystals_rev_note11.html (2016-02-01)
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  • Note 12
    Note 12 A symmetry element is for instance an axis of rotation a mirror plane etc back to main text

    Original URL path: http://www.metafysica.nl/crystals_rev_note12.html (2016-02-01)
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