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Difference between revisions of "Mallard's law"

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<font color="blue">Loi de Mallard</font>(''Fr'').  <Font color="black">Legge di Mallard </Font>(''It'')
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<font color="blue">Loi de Mallard</font> (''Fr'').  <font color="red">Mallard-Gesetz</font> (''Ge''). <font color="black">Legge di Mallard</font> (''It''). <font color="purple">マラード法則</font> (''Ja''). <font color="green">Ley de Mallard</font> (''Sp'').
  
The '''law of Mallard''' was introduced by Georges Friedel (''Leçons de Cristallographie'' 1926, page 436) to explain, for reticular bases, [[twinning by pseudomerohedry]].
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The '''law of Mallard''' was introduced by Georges Friedel [''Leçons de Cristallographie'' (1926), p. 436] to explain, on a reticular basis, [[twinning by pseudomerohedry]].
  
The law of Mallard states that twin elements are always rational (i.e. [[direct lattice]] elements): therefore, a [[twin element|twin plane]] is a lattice plane, and a [[twin element|twin axis]] is a lattice row. These twin elements are pseudosymmetry elements for the lattice of the individual. The twin operations produce now slightly different orientations of the lattice of the individual, which are only quasi-equivalent, and no longer equivalent, as in the case of [[twinning by merohedry]].
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The law of Mallard states that [[twin element]]s are always rational (''i.e.'' [[direct lattice]] elements); therefore, a [[twin element|twin plane]] is a lattice plane, and a [[twin element|twin axis]] is a lattice row. These twin elements are pseudo-[[symmetry element]]s for the lattice of the individual. The twin operations produce now slightly different orientations of the lattice of the individual, which are only quasi-equivalent, and no longer equivalent, as in the case of [[twinning by merohedry]].
  
[[Category:Fundamental crystallography]]
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[[Category:Twinning]]

Latest revision as of 16:44, 20 December 2017

Loi de Mallard (Fr). Mallard-Gesetz (Ge). Legge di Mallard (It). マラード法則 (Ja). Ley de Mallard (Sp).

The law of Mallard was introduced by Georges Friedel [Leçons de Cristallographie (1926), p. 436] to explain, on a reticular basis, twinning by pseudomerohedry.

The law of Mallard states that twin elements are always rational (i.e. direct lattice elements); therefore, a twin plane is a lattice plane, and a twin axis is a lattice row. These twin elements are pseudo-symmetry elements for the lattice of the individual. The twin operations produce now slightly different orientations of the lattice of the individual, which are only quasi-equivalent, and no longer equivalent, as in the case of twinning by merohedry.