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Difference between revisions of "Interplanar spacing"

From Online Dictionary of Crystallography

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<Font color="blue">Distance interplanaire</font> (''Fr''); <Font color="black">Distanza interplanare</font> (''It''); <Font color="purple">面間距離</font> (''Ja'').
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<font color="blue">Distance interplanaire</font> (''Fr''). <font color="red">Netzebenenabstand</font> (''Ge''). <font color="black">Distanza interplanare</font> (''It''). <font color="purple">面間距離</font> (''Ja''). <font color="green">Distancia interplanar</font> (''Sp'').
  
  
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<center>''d''<sub>''hkl''</sub> = 1/||r*<sub>''hkl''</sub>|| = 1/(''hkl'')'''G'''*(''hkl'')<sup>T</sup></center>
 
<center>''d''<sub>''hkl''</sub> = 1/||r*<sub>''hkl''</sub>|| = 1/(''hkl'')'''G'''*(''hkl'')<sup>T</sup></center>
  
where '''G'''* is the [[metric tensor]] in the reciprocal space and <sup>T</sup> stands for transposed vector.
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where '''G'''* is the [[metric tensor]] in reciprocal space and <sup>T</sup> stands for transposed vector.
  
 
[[Category: Fundamental crystallography]]
 
[[Category: Fundamental crystallography]]
 
[[Category: X-rays]]
 
[[Category: X-rays]]

Latest revision as of 17:23, 14 November 2017

Distance interplanaire (Fr). Netzebenenabstand (Ge). Distanza interplanare (It). 面間距離 (Ja). Distancia interplanar (Sp).


The interplanar spacing or interplanar distance is the perpendicular distance between two successive planes on a family (hkl). It is commonly indicated as dhkl and corresponds to the reciprocal of the length of the corresponding vector in reciprocal space:

dhkl = 1/||r*hkl|| = 1/(hkl)G*(hkl)T

where G* is the metric tensor in reciprocal space and T stands for transposed vector.