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	<id>https://wiki.iac.isu.edu/index.php?action=history&amp;feed=atom&amp;title=Runs_4111%28D2O%29%2F4112%28H2O%29</id>
	<title>Runs 4111(D2O)/4112(H2O) - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.iac.isu.edu/index.php?action=history&amp;feed=atom&amp;title=Runs_4111%28D2O%29%2F4112%28H2O%29"/>
	<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;action=history"/>
	<updated>2026-07-13T16:53:14Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.35.2</generator>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78151&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78151&amp;oldid=prev"/>
		<updated>2012-10-04T15:35:43Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:35, 4 October 2012&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-l58&quot; &gt;Line 58:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 58:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis_nCut.png]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis_nCut.png]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;If we take into account only photon region, we'll get&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;[[File:DetM_Calibr_data_mis_gCut.png]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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 class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Neutron ToF to the surface of the detector can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-ToF_{sint+lg})&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;ToF_{sint+lg}&amp;lt;/math&amp;gt; is the total light ToF inside the detector and it was taken to be a const &amp;lt;math&amp;gt;ToF_{sint+lg} = 100cm \cdot \frac{1}{2.5 cm/ns} \simeq 40 ns&amp;lt;/math&amp;gt;. So, the neutron ToF can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-40)&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Neutron ToF to the surface of the detector can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-ToF_{sint+lg})&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;ToF_{sint+lg}&amp;lt;/math&amp;gt; is the total light ToF inside the detector and it was taken to be a const &amp;lt;math&amp;gt;ToF_{sint+lg} = 100cm \cdot \frac{1}{2.5 cm/ns} \simeq 40 ns&amp;lt;/math&amp;gt;. So, the neutron ToF can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-40)&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78148&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78148&amp;oldid=prev"/>
		<updated>2012-10-04T15:27:19Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:27, 4 October 2012&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-l50&quot; &gt;Line 50:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 50:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to the measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt; (measured w/ Co-60 source). As an example for Det M  we have(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;neutron &lt;/del&gt;and photons together):&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to the measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt; (measured w/ Co-60 source). As an example for Det M  we have (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;neutrons &lt;/ins&gt;and photons &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;combined &lt;/ins&gt;together):&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key iacwikidb-iacwiki_:diff::1.12:old-78147:rev-78148 --&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78147&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78147&amp;oldid=prev"/>
		<updated>2012-10-04T15:26:53Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:26, 4 October 2012&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-l48&quot; &gt;Line 48:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{abs(MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)])} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{abs(MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)])} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to the measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt; (measured w/ Co-60 source). As an example for Det M we have:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to the measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt; (measured w/ Co-60 source). As an example for Det M &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/ins&gt;we have&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;(neutron and photons together)&lt;/ins&gt;:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key iacwikidb-iacwiki_:diff::1.12:old-78145:rev-78147 --&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78145&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78145&amp;oldid=prev"/>
		<updated>2012-10-04T15:25:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:25, 4 October 2012&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-l52&quot; &gt;Line 52:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 52:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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 colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;If we take into account only neutron region, we'll get&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;[[File:DetM_Calibr_data_mis_nCut.png]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Neutron ToF to the surface of the detector can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-ToF_{sint+lg})&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;ToF_{sint+lg}&amp;lt;/math&amp;gt; is the total light ToF inside the detector and it was taken to be a const &amp;lt;math&amp;gt;ToF_{sint+lg} = 100cm \cdot \frac{1}{2.5 cm/ns} \simeq 40 ns&amp;lt;/math&amp;gt;. So, the neutron ToF can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-40)&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Neutron ToF to the surface of the detector can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-ToF_{sint+lg})&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;ToF_{sint+lg}&amp;lt;/math&amp;gt; is the total light ToF inside the detector and it was taken to be a const &amp;lt;math&amp;gt;ToF_{sint+lg} = 100cm \cdot \frac{1}{2.5 cm/ns} \simeq 40 ns&amp;lt;/math&amp;gt;. So, the neutron ToF can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-40)&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78137&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78137&amp;oldid=prev"/>
		<updated>2012-10-03T23:54:03Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:54, 3 October 2012&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-l48&quot; &gt;Line 48:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{abs(MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)])} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{abs(MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)])} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt;. As an example for Det M we have:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;the &lt;/ins&gt;measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;(measured w/ Co-60 source)&lt;/ins&gt;. As an example for Det M we have:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78136&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78136&amp;oldid=prev"/>
		<updated>2012-10-03T23:52:45Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:52, 3 October 2012&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-l46&quot; &gt;Line 46:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 46:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Where uncertainty in the neutron flight pass due to the finite width of the detector &amp;lt;math&amp;gt;U(l_n)&amp;lt;/math&amp;gt; was simulated using GEANT4 and uncertainty in zero time definition in neutron TOF spectrum &amp;lt;math&amp;gt;U(t_n)&amp;lt;/math&amp;gt; was defined from the experimental data as sigma of the zero time photon peak.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Where uncertainty in the neutron flight pass due to the finite width of the detector &amp;lt;math&amp;gt;U(l_n)&amp;lt;/math&amp;gt; was simulated using GEANT4 and uncertainty in zero time definition in neutron TOF spectrum &amp;lt;math&amp;gt;U(t_n)&amp;lt;/math&amp;gt; was defined from the experimental data as sigma of the zero time photon peak.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;abs(&lt;/ins&gt;MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;)&lt;/ins&gt;} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt;. As an example for Det M we have:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_{calibr}&amp;lt;/math&amp;gt; does not correspond to measured one &amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt;. As an example for Det M we have:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78135&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78135&amp;oldid=prev"/>
		<updated>2012-10-03T23:50:54Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:50, 3 October 2012&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-l48&quot; &gt;Line 48:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R_calibr&lt;/del&gt;&amp;lt;/math&amp;gt; does not correspond to measured one. As an example for Det M we have:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R_{calibr}&lt;/ins&gt;&amp;lt;/math&amp;gt; does not correspond to measured one &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;math&amp;gt;R_{data}&amp;lt;/math&amp;gt;&lt;/ins&gt;. As an example for Det M we have:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78133&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78133&amp;oldid=prev"/>
		<updated>2012-10-03T23:49:47Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:49, 3 October 2012&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-l48&quot; &gt;Line 48:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{MAX[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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 colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;However, there is a question on how to define the uncertainty on the coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt;. Calibration &amp;lt;math&amp;gt;R_calibr&amp;lt;/math&amp;gt; does not correspond to measured one. As an example for Det M we have:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;[[File:DetM_Calibr_data_mis.png]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;!-- diff cache key iacwikidb-iacwiki_:diff::1.12:old-78132:rev-78133 --&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78132&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78132&amp;oldid=prev"/>
		<updated>2012-10-03T23:32:14Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:32, 3 October 2012&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-l46&quot; &gt;Line 46:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 46:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Where uncertainty in the neutron flight pass due to the finite width of the detector &amp;lt;math&amp;gt;U(l_n)&amp;lt;/math&amp;gt; was simulated using GEANT4 and uncertainty in zero time definition in neutron TOF spectrum &amp;lt;math&amp;gt;U(t_n)&amp;lt;/math&amp;gt; was defined from the experimental data as sigma of the zero time photon peak.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Where uncertainty in the neutron flight pass due to the finite width of the detector &amp;lt;math&amp;gt;U(l_n)&amp;lt;/math&amp;gt; was simulated using GEANT4 and uncertainty in zero time definition in neutron TOF spectrum &amp;lt;math&amp;gt;U(t_n)&amp;lt;/math&amp;gt; was defined from the experimental data as sigma of the zero time photon peak.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;MAX[&lt;/ins&gt;(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]-MIN[(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)]&lt;/ins&gt;} &amp;lt;/math&amp;gt; or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;

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&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78131&amp;oldid=prev</id>
		<title>Kosiolek: /* Neutron energy analysis */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Runs_4111(D2O)/4112(H2O)&amp;diff=78131&amp;oldid=prev"/>
		<updated>2012-10-03T23:31:03Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Neutron energy analysis&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:31, 3 October 2012&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-l46&quot; &gt;Line 46:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 46:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Where uncertainty in the neutron flight pass due to the finite width of the detector &amp;lt;math&amp;gt;U(l_n)&amp;lt;/math&amp;gt; was simulated using GEANT4 and uncertainty in zero time definition in neutron TOF spectrum &amp;lt;math&amp;gt;U(t_n)&amp;lt;/math&amp;gt; was defined from the experimental data as sigma of the zero time photon peak.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Where uncertainty in the neutron flight pass due to the finite width of the detector &amp;lt;math&amp;gt;U(l_n)&amp;lt;/math&amp;gt; was simulated using GEANT4 and uncertainty in zero time definition in neutron TOF spectrum &amp;lt;math&amp;gt;U(t_n)&amp;lt;/math&amp;gt; was defined from the experimental data as sigma of the zero time photon peak.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)} &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;The neutron flight path length was calculated using the following expression: &amp;lt;math&amp;gt;l_n = \sqrt{l_c^2 + (X_c-X_i)^2}&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;X_c=75/2=37.5cm&amp;lt;/math&amp;gt; is the coordinate of the middle of the neutron detector active area and &amp;lt;math&amp;gt;X_i&amp;lt;/math&amp;gt; is the current x-coordinate extracted from time difference spectrum. &amp;lt;math&amp;gt;l_c&amp;lt;/math&amp;gt; is the distance from the middle of the target to the middle of the neutron detector surface. The current coordinate can be defined as &amp;lt;math&amp;gt;X_i = (((TDC_{left}-TDC_{right}) \cdot 0.223 ns/ch) \pm S) \cdot R&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is a shift factor due to the difference in delays for the two channels and should be taken to be the lowest value in &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum. The coefficient &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; is equal to active area dimension divided by the total width of &amp;lt;math&amp;gt;(TDC_{left}-TDC_{right}) \cdot 0.223&amp;lt;/math&amp;gt; spectrum measured at base,i.e. &amp;lt;math&amp;gt;R = \frac{ 75(cm)}{(TDC_{left}-TDC_{right})(ch) \cdot 0.223(ns/ch)} &amp;lt;/math&amp;gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;or it can be measured by moving a radioactive source along the neutron detector surface.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Neutron ToF to the surface of the detector can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-ToF_{sint+lg})&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;ToF_{sint+lg}&amp;lt;/math&amp;gt; is the total light ToF inside the detector and it was taken to be a const &amp;lt;math&amp;gt;ToF_{sint+lg} = 100cm \cdot \frac{1}{2.5 cm/ns} \simeq 40 ns&amp;lt;/math&amp;gt;. So, the neutron ToF can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-40)&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; 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;Neutron ToF to the surface of the detector can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-ToF_{sint+lg})&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;ToF_{sint+lg}&amp;lt;/math&amp;gt; is the total light ToF inside the detector and it was taken to be a const &amp;lt;math&amp;gt;ToF_{sint+lg} = 100cm \cdot \frac{1}{2.5 cm/ns} \simeq 40 ns&amp;lt;/math&amp;gt;. So, the neutron ToF can be calculated as &amp;lt;math&amp;gt;t_n = 0.5 \cdot ((TDC_{left}+TDC_{right})-40)&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key iacwikidb-iacwiki_:diff::1.12:old-78130:rev-78131 --&gt;
&lt;/table&gt;</summary>
		<author><name>Kosiolek</name></author>
	</entry>
</feed>