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	<id>http://gisaxs.com/index.php?action=history&amp;feed=atom&amp;title=Multiple_scattering</id>
	<title>Multiple scattering - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://gisaxs.com/index.php?action=history&amp;feed=atom&amp;title=Multiple_scattering"/>
	<link rel="alternate" type="text/html" href="http://gisaxs.com/index.php?title=Multiple_scattering&amp;action=history"/>
	<updated>2026-04-08T19:20:43Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.31.7</generator>
	<entry>
		<id>http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=6015&amp;oldid=prev</id>
		<title>KevinYager: /* See Also */</title>
		<link rel="alternate" type="text/html" href="http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=6015&amp;oldid=prev"/>
		<updated>2020-03-31T14:58:47Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;See Also&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 14:58, 31 March 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l19&quot; &gt;Line 19:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 19:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;#160; A.G.A. Nisbet, G. Beutier, F. Fabrizi, B. Mosera and S. P. Collins [http://journals.iucr.org/a/issues/2015/01/00/td5022/index.html Diffuse multiple scattering]&amp;#160; &amp;#039;&amp;#039;Acta Cryst. A&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 20-25. [http://dx.doi.org/10.1107/S2053273314026515 doi: 10.1107/S2053273314026515]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;#160; A.G.A. Nisbet, G. Beutier, F. Fabrizi, B. Mosera and S. P. Collins [http://journals.iucr.org/a/issues/2015/01/00/td5022/index.html Diffuse multiple scattering]&amp;#160; &amp;#039;&amp;#039;Acta Cryst. A&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 20-25. [http://dx.doi.org/10.1107/S2053273314026515 doi: 10.1107/S2053273314026515]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Y. Ohmasa and A. Chiba [http://scripts.iucr.org/cgi-bin/paper?ks5622 Diffuse + Bragg double scattering and specular reflection observed in the small-angle X-ray scattering from highly oriented pyrolytic graphite] &amp;#039;&amp;#039;J. Appl. Cryst.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2019&amp;#039;&amp;#039;&amp;#039;, 52. [https://doi.org/10.1107/S1600576719005648 doi: 10.1107/S1600576719005648]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Y. Ohmasa and A. Chiba [http://scripts.iucr.org/cgi-bin/paper?ks5622 Diffuse + Bragg double scattering and specular reflection observed in the small-angle X-ray scattering from highly oriented pyrolytic graphite] &amp;#039;&amp;#039;J. Appl. Cryst.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2019&amp;#039;&amp;#039;&amp;#039;, 52. [https://doi.org/10.1107/S1600576719005648 doi: 10.1107/S1600576719005648]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* G. Nolze, T. Tokarski, G. Cios and A. Winkelmann [http://scripts.iucr.org/cgi-bin/paper?nb5262 Manual measurement of angles in backscattered and transmission Kikuchi diffraction patterns] &amp;#039;&amp;#039;J. Appl. Cryst.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2020&amp;#039;&amp;#039;&amp;#039;. [https://doi.org/10.1107/S1600576720000692 doi: 10.1107/S1600576720000692]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>KevinYager</name></author>
		
	</entry>
	<entry>
		<id>http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=5956&amp;oldid=prev</id>
		<title>KevinYager at 16:07, 3 June 2019</title>
		<link rel="alternate" type="text/html" href="http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=5956&amp;oldid=prev"/>
		<updated>2019-06-03T16:07:36Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 16:07, 3 June 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;TBD&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Scattering]] is normally thought of in the single-scattering limit. I.e. one imagines that incident x-rays pass through the material, and can be scattered into exit rays; one ignores the possibility of a scattered ray being scattered again. This is a reasonable approximation in many cases for [[x-ray]] scattering (and [[neutron]] scattering) since the scattering cross section is quite weak. However this is often a poor approximation for [[electron]] scattering since the interaction is so strong.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;In the limit of weak scattering, one can model the effect by assuming that the incident field is not perturbed by the scattering elements. This is known as the [[Born approximation]]. The field throughout the entire sample is assumed to simply be the incident field.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;However in principle any scattered ray can scatter again. I.e. the field in the material becomes progressively more complex as one sums the contributions from all possible scattering entities. In practice, one typically models multiple scattering by assuming the Born approximation and adding additional terms to account for multiple scattering effects. In [[GISAXS]], a popular method is the Distorted Wave Born Approximation ([[DWBA]]).&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;For strongly-scattering samples, &amp;#039;&amp;#039;&amp;#039;multiple scattering&amp;#039;&amp;#039;&amp;#039; must be taken into account. For example, imagine a material that generates a large amount of small-angle diffuse scattering. A thin piece of this material will yield the direct beam surrounded by some [[SAXS]] scattering. For a thicker sample, the diffuse scattered rays will be scattered again, leading to further broadening of the diffuse scattering. For materials (e.g. crystals), the strong scattering of diffraction spots can scatter off the crystal lattice again, giving rise to scattering features that at first glance seem to be impossible (c.f. [[Diffuse_scattering#Structured_Diffuse_Scattering|structured diffuse scattering]]). For instance one can observe diffuse lines interconnecting between diffraction peaks.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Kikuchi patterns==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Kikuchi patterns==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l7&quot; &gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 13:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==See Also==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==See Also==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [[Diffuse scattering]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;** [[Diffuse_scattering#Structured_Diffuse_Scattering|structured diffuse scattering]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* W. G. Morris [http://scitation.aip.org/content/aip/journal/jap/39/3/10.1063/1.1656436 Crystal orientation and lattice parameters from Kossel lines] &amp;#039;&amp;#039;J. Appl. Phys.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;1968&amp;#039;&amp;#039;&amp;#039;, 39, 1813–1823. [http://dx.doi.org/10.1063/1.1656436 doi: 10.1063/1.1656436]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* W. G. Morris [http://scitation.aip.org/content/aip/journal/jap/39/3/10.1063/1.1656436 Crystal orientation and lattice parameters from Kossel lines] &amp;#039;&amp;#039;J. Appl. Phys.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;1968&amp;#039;&amp;#039;&amp;#039;, 39, 1813–1823. [http://dx.doi.org/10.1063/1.1656436 doi: 10.1063/1.1656436]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* G. Nolze, C. Grosse and A. Winkelmann [http://scripts.iucr.org/cgi-bin/paper?vh5033 Kikuchi pattern analysis of noncentrosymmetric crystals] &amp;#039;&amp;#039;J. Appl. Cryst.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 48. [http://dx.doi.org/10.1107/S1600576715014016 doi: 10.1107/S1600576715014016]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* G. Nolze, C. Grosse and A. Winkelmann [http://scripts.iucr.org/cgi-bin/paper?vh5033 Kikuchi pattern analysis of noncentrosymmetric crystals] &amp;#039;&amp;#039;J. Appl. Cryst.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 48. [http://dx.doi.org/10.1107/S1600576715014016 doi: 10.1107/S1600576715014016]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;#160; A.G.A. Nisbet, G. Beutier, F. Fabrizi, B. Mosera and S. P. Collins [http://journals.iucr.org/a/issues/2015/01/00/td5022/index.html Diffuse multiple scattering]&amp;#160; &amp;#039;&amp;#039;Acta Cryst. A&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 20-25. [http://dx.doi.org/10.1107/S2053273314026515 doi: 10.1107/S2053273314026515]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;#160; A.G.A. Nisbet, G. Beutier, F. Fabrizi, B. Mosera and S. P. Collins [http://journals.iucr.org/a/issues/2015/01/00/td5022/index.html Diffuse multiple scattering]&amp;#160; &amp;#039;&amp;#039;Acta Cryst. A&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 20-25. [http://dx.doi.org/10.1107/S2053273314026515 doi: 10.1107/S2053273314026515]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* Y. Ohmasa and A. Chiba [http://scripts.iucr.org/cgi-bin/paper?ks5622 Diffuse + Bragg double scattering and specular reflection observed in the small-angle X-ray scattering from highly oriented pyrolytic graphite] &amp;#039;&amp;#039;J. Appl. Cryst.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2019&amp;#039;&amp;#039;&amp;#039;, 52. [https://doi.org/10.1107/S1600576719005648 doi: 10.1107/S1600576719005648]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>KevinYager</name></author>
		
	</entry>
	<entry>
		<id>http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=5954&amp;oldid=prev</id>
		<title>KevinYager at 15:56, 3 June 2019</title>
		<link rel="alternate" type="text/html" href="http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=5954&amp;oldid=prev"/>
		<updated>2019-06-03T15:56:13Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 15:56, 3 June 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;TBD&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;TBD&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Kikuchi patterns==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Sharp intersecting lines are sometimes observed in [[diffraction]] data for single-crystal or poly-crystalline materials, depending on the experimental geometry. In electron microscopy, multiple-scattering events create these &amp;#039;&amp;#039;&amp;#039;Kikuchi patterns&amp;#039;&amp;#039;&amp;#039;, while in x-ray scattering they may be called &amp;#039;&amp;#039;&amp;#039;Kossel lines&amp;#039;&amp;#039;&amp;#039;. These lines arise due to multiple-scattering effect, e.g. when the x-ray source has high divergence.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Using a high-flux [[x-ray]] source ([[synchrotron]]), one can observe a related effect purely from the [[diffuse scattering]] undergoing multiple scattering. &amp;#039;Multiple diffuse scattering&amp;#039; (DMS) can thus give rise to weak lines in a [[scattering]] image for crystalline materials (e.g. if one&amp;#039;s sample is supported on a [[Material:Silicon|silicon]] substrate).&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==See Also==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* W. G. Morris [http://scitation.aip.org/content/aip/journal/jap/39/3/10.1063/1.1656436 Crystal orientation and lattice parameters from Kossel lines] &amp;#039;&amp;#039;J. Appl. Phys.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;1968&amp;#039;&amp;#039;&amp;#039;, 39, 1813–1823. [http://dx.doi.org/10.1063/1.1656436 doi: 10.1063/1.1656436]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* G. Nolze, C. Grosse and A. Winkelmann [http://scripts.iucr.org/cgi-bin/paper?vh5033 Kikuchi pattern analysis of noncentrosymmetric crystals] &amp;#039;&amp;#039;J. Appl. Cryst.&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 48. [http://dx.doi.org/10.1107/S1600576715014016 doi: 10.1107/S1600576715014016]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*&amp;#160; A.G.A. Nisbet, G. Beutier, F. Fabrizi, B. Mosera and S. P. Collins [http://journals.iucr.org/a/issues/2015/01/00/td5022/index.html Diffuse multiple scattering]&amp;#160; &amp;#039;&amp;#039;Acta Cryst. A&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;2015&amp;#039;&amp;#039;&amp;#039;, 20-25. [http://dx.doi.org/10.1107/S2053273314026515 doi: 10.1107/S2053273314026515]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>KevinYager</name></author>
		
	</entry>
	<entry>
		<id>http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=5953&amp;oldid=prev</id>
		<title>KevinYager: Created page with &quot;TBD&quot;</title>
		<link rel="alternate" type="text/html" href="http://gisaxs.com/index.php?title=Multiple_scattering&amp;diff=5953&amp;oldid=prev"/>
		<updated>2019-06-03T15:55:48Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;TBD&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;TBD&lt;/div&gt;</summary>
		<author><name>KevinYager</name></author>
		
	</entry>
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