Planck Energy | Clipmarks


	Planck Energy

skwirlinator

3-17-2008 6:22 PM

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planck energy, science, theory, planck's constant

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://www.clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/a29b880b-8e9a-47c3-bf99-2289be4207e8/0CC0CB23-4FDC-4AF9-A71E-2E6A8452B657/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://scienceworld.wolfram.com/physics/PlanckEnergy.html" href="http://scienceworld.wolfram.com/physics/PlanckEnergy.html" style="font-size: 11px;">scienceworld.wolfram.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://scienceworld.wolfram.com/physics/PlanckEnergy.html"><B>Planck Energy</B></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://scienceworld.wolfram.com/physics/PlanckEnergy.html"><table background="undefined" bgcolor=""><tr><TD><P>
The Planck energy is the average energy of an oscillator,
</P><DIV align="right">
<TABLE width="100%" align="center"><TBODY><TR valign="middle"><TD nowrap="" align="center"><IMG width="152" height="46" border="0" src="http://scienceworld.wolfram.com/physics/pimg239.gif" /></TD><TD width="10" align="right">(1)</TD></TR></TBODY></TABLE><BR clear="all" /></DIV>
<P>
The <A href="http://scienceworld.wolfram.com/physics/PlanckPostulate.html">Planck postulate</A> states that
</P><DIV align="right">
<TABLE width="100%" align="center"><TBODY><TR valign="middle"><TD nowrap="" align="center"><IMG width="73" height="27" border="0" src="http://scienceworld.wolfram.com/physics/pimg240.gif" /></TD><TD width="10" align="right">(2)</TD></TR></TBODY></TABLE><BR clear="all" /></DIV>
<P>
where <I>n</I> is a nonnegative integer, <I>h</I> is <A href="http://scienceworld.wolfram.com/physics/PlancksConstant.html">Planck's constant</A>, and <IMG width="13" height="13" border="0" align="bottom" src="http://scienceworld.wolfram.com/physics/pimg224.gif" /> is the frequency of radiation.
<A href="http://scienceworld.wolfram.com/physics/Maxwell-BoltzmannStatistics.html">Maxwell-Boltzmann statistics</A> give
</P><DIV align="right">
<TABLE width="100%" align="center"><TBODY><TR valign="middle"><TD nowrap="" align="center"><IMG width="250" height="28" border="0" src="http://scienceworld.wolfram.com/physics/pimg241.gif" /></TD><TD width="10" align="right">(3)</TD></TR></TBODY></TABLE><BR clear="all" /></DIV>
<P>
where <I>C</I> is a constant, <I>k</I> is <A href="http://scienceworld.wolfram.com/physics/BoltzmannsConstant.html">Boltzmann's constant</A>, and <I>T</I> is the <A href="http://scienceworld.wolfram.com/physics/Temperature.html">temperature</A>.  Plugging in,
</P><DIV align="right">
<TABLE width="100%" align="center"><TBODY><TR valign="middle"><TD nowrap="" align="center"><IMG width="125" height="41" border="0" src="http://scienceworld.wolfram.com/physics/pimg242.gif" /></TD><TD width="10" align="right">(4)</TD></TR></TBODY></TABLE><BR clear="all" /></DIV>
<P>
</P><P>
<IMG width="52" height="13" align="left" src="http://scienceworld.wolfram.com/images/entries/see_also.gif" /><A href="http://scienceworld.wolfram.com/physics/PlanckIntensityDensity.html">Planck Intensity Density</A>, <A href="http://scienceworld.wolfram.com/physics/PlanckLaw.html">Planck Law</A>, <A href="http://scienceworld.wolfram.com/physics/SimpleHarmonicOscillatorQuantumMechanical.html">Simple Harmonic Oscillator--Quantum Mechanical</A> 
</P><P>

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<I>© 1996-2007 Eric W. Weisstein</I>
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