Renninger effect - Revision history

BrianMcMahon: Tidying of reference

2021-07-14T15:48:15Z

Tidying of reference

MassimoNespolo: reference

2019-02-24T15:56:58Z

reference

MassimoNespolo: Created page with "Effet Renninger (''Fr''). Effetto Renninger (''It''). Efecto Renninger (''Sp'). The multiple dif..."

2019-02-24T10:28:21Z

Created page with "Effet Renninger (''Fr''). Effetto Renninger (''It''). Efecto Renninger (''Sp'). The multiple dif..."

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Effet Renninger (''Fr''). Effetto Renninger (''It''). Efecto Renninger (''Sp').

The multiple diffraction affecting the appearance of a diffraction pattern is known under the name of '''Renninger effect'''. In [[reciprocal space]] it is interpreted as resulting from the simultaneous presence of two [[reciprocal lattice]] nodes on the surface of the [[Ewald sphere]]. If the [[Miller indices]] of the corresponding families of lattice planes are '''H'''1 = (''hkl'')1 and '''H'''2 = (''hkl'')2, the corresponding Laue conditions are:

('''s'''1-'''s'''0)/λ ='''r'''*'''H'''1; ('''s'''2-'''s'''0)/λ ='''r'''*'''H'''2

and, by subtracting the second equation from the first, one obtains:

('''s'''1-'''s'''2)/λ ='''r'''*'''H'''1-'''r'''*'''H'''2 = '''r'''*'''H'''1-'''H'''2

The beam diffracted by the plane '''H'''1 in the direction '''s'''1 overlaps with a double-diffraction beam, first by the plane '''H'''2 in the direction '''s'''2 and then by the plane '''H'''1-'''H'''2 in the direction '''s'''1-'''s'''2.

If the Renninger effect is strong enough, the intensity of the beam with [[Laue indices]] '''H'''1 can be significantly different from its theoretical kinematical value. The Renninger effect may also result in apparent violation of the [[reflection conditions]], when the doubly-diffracted beam strikes a position in the diffraction pattern corresponding to a beam with zero intensity due to [[systematic absences]].

[[Category:X-rays]]

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-<font color="blue">Effet Renninger</font> (''Fr''). <font color="black">Effetto Renninger</font> (''It''). <font color="green">Efecto Renninger</font> (''Sp').
+<font color="blue">Effet Renninger</font> (''Fr''). <font color="black">Effetto Renninger</font> (''It''). <font color="green">Efecto Renninger</font> (''Sp'').
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 ==References==
-Renninger, M. (1937). Umweganregung, eine bisher unbeachtete Wechselwirkungserscheinung bei Raumgitterinterferenzen. ''Z. Phys''. '''106''', 141-176.
+* Renninger, M. (1937). ''Z. Phys''. '''106''', 141-176. ''Umweganregung, eine bisher unbeachtete Wechselwirkungserscheinung bei Raumgitterinterferenzen.''
 [[Category:X-rays]]

← Older revision		Revision as of 15:56, 24 February 2019
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	If the Renninger effect is strong enough, the intensity of the beam with [[Laue indices]] '''H'''1 can be significantly different from its theoretical kinematical value. The Renninger effect may also result in apparent violation of the [[reflection conditions]], when the doubly-diffracted beam strikes a position in the diffraction pattern corresponding to a beam with zero intensity due to [[systematic absences]].		If the Renninger effect is strong enough, the intensity of the beam with [[Laue indices]] '''H'''1 can be significantly different from its theoretical kinematical value. The Renninger effect may also result in apparent violation of the [[reflection conditions]], when the doubly-diffracted beam strikes a position in the diffraction pattern corresponding to a beam with zero intensity due to [[systematic absences]].

		+	==References==
		+	Renninger, M. (1937). Umweganregung, eine bisher unbeachtete Wechselwirkungserscheinung bei Raumgitterinterferenzen. ''Z. Phys''. '''106''', 141-176.
	[[Category:X-rays]]		[[Category:X-rays]]