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	<title>Sackur–Tetrode equation - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://www.sklogwiki.org/SklogWiki/index.php?action=history&amp;feed=atom&amp;title=Sackur%E2%80%93Tetrode_equation"/>
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	<updated>2026-05-01T02:47:10Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Sackur%E2%80%93Tetrode_equation&amp;diff=7392&amp;oldid=prev</id>
		<title>Carl McBride: Added equation.</title>
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		<updated>2008-11-04T17:39:27Z</updated>

		<summary type="html">&lt;p&gt;Added equation.&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&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 19:39, 4 November 2008&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=&quot;diff-marker&quot;&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;{{stub-general}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;{{stub-general}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;The &#039;&#039;&#039;Sackur–Tetrode equation&#039;&#039;&#039; provides the [[entropy]] (&amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt;) of an [[ideal gas]] (classical). It is given by &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;:&amp;lt;math&amp;gt;S=N k_B \ln \left[ \left( \frac{2 \pi m  k_B T}{h^2} \right)^{3/2} \frac{k_BT}{p}  \exp(5/2)\right]&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;where &amp;lt;math&amp;gt;k_B&amp;lt;/math&amp;gt; is the [[Boltzmann constant]], &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the [[temperature]], &amp;lt;math&amp;gt;p&amp;lt;/math&amp;gt; is the [[pressure]], &amp;lt;math&amp;gt;m&amp;lt;/math&amp;gt; is the mass of the gas particle, &amp;lt;math&amp;gt;N&amp;lt;/math&amp;gt; is the numer of particles and &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; is the [[Planck constant]].&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;#[http://dx.doi.org/10.1002/andp.19133450103 O. Sackur &amp;quot;Die universelle Bedeutung des sog. elementaren Wirkungsquantums&amp;quot;, Annalen der Physik &amp;#039;&amp;#039;&amp;#039;40&amp;#039;&amp;#039;&amp;#039; pp. 67-86 (1913)]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;#[http://dx.doi.org/10.1002/andp.19133450103 O. Sackur &amp;quot;Die universelle Bedeutung des sog. elementaren Wirkungsquantums&amp;quot;, Annalen der Physik &amp;#039;&amp;#039;&amp;#039;40&amp;#039;&amp;#039;&amp;#039; pp. 67-86 (1913)]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Carl McBride</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Sackur%E2%80%93Tetrode_equation&amp;diff=4831&amp;oldid=prev</id>
		<title>Carl McBride: New page: {{stub-general}} ==References== #[http://dx.doi.org/10.1002/andp.19133450103 O. Sackur &quot;Die universelle Bedeutung des sog. elementaren Wirkungsquantums&quot;, Annalen der Physik &#039;&#039;&#039;40&#039;&#039;&#039; pp. 67...</title>
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		<updated>2007-11-07T12:06:07Z</updated>

		<summary type="html">&lt;p&gt;New page: {{stub-general}} ==References== #[http://dx.doi.org/10.1002/andp.19133450103 O. Sackur &amp;quot;Die universelle Bedeutung des sog. elementaren Wirkungsquantums&amp;quot;, Annalen der Physik &amp;#039;&amp;#039;&amp;#039;40&amp;#039;&amp;#039;&amp;#039; pp. 67...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{stub-general}}&lt;br /&gt;
==References==&lt;br /&gt;
#[http://dx.doi.org/10.1002/andp.19133450103 O. Sackur &amp;quot;Die universelle Bedeutung des sog. elementaren Wirkungsquantums&amp;quot;, Annalen der Physik &amp;#039;&amp;#039;&amp;#039;40&amp;#039;&amp;#039;&amp;#039; pp. 67-86 (1913)]&lt;br /&gt;
#[http://dx.doi.org/10.1002/andp.19123430708 H. Tetrode &amp;quot;Die chemische Konstante der Gase und das elementare Wirkungsquantum&amp;quot;, Annalen der Physik &amp;#039;&amp;#039;&amp;#039;38&amp;#039;&amp;#039;&amp;#039;  pp. 434-442 (1912)]&lt;br /&gt;
#[http://dx.doi.org/10.1002/andp.19123441112 H. Tetrode &amp;quot;Berichtigung zu meiner Arbeit: &amp;#039;Die chemische Konstante der Gase und das elementare Wirkungsquantum&amp;#039;&amp;quot;, Annalen der Physik &amp;#039;&amp;#039;&amp;#039;39&amp;#039;&amp;#039;&amp;#039;  pp. 255-256 (1913)]&lt;br /&gt;
[[category: Ideal gas]]&lt;/div&gt;</summary>
		<author><name>Carl McBride</name></author>
	</entry>
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