[cig-commits] [commit] doc_updates: Corrected E_th term (72599eb)

[cig_noreply at geodynamics.org]

Repository : https://github.com/geodynamics/burnman

On branch  : doc_updates
Link       : https://github.com/geodynamics/burnman/compare/a6933cbfa9fe909cc180098ec5fde582d24e090b...72599ebd1903a1ef251b0e889b0de202e10fed51

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commit 72599ebd1903a1ef251b0e889b0de202e10fed51
Author: Bob Myhill <myhill.bob at gmail.com>
Date:   Wed Dec 31 13:59:23 2014 +0000

    Corrected E_th term


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72599ebd1903a1ef251b0e889b0de202e10fed51
 sphinx/background_thermoelastics.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/sphinx/background_thermoelastics.txt b/sphinx/background_thermoelastics.txt
index 93d3f85..1f55f23 100644
--- a/sphinx/background_thermoelastics.txt
+++ b/sphinx/background_thermoelastics.txt
@@ -127,7 +127,7 @@ The thermal pressure can be incorporated into the Modified Tait equation of stat
 .. math::
     P_{\textrm{th}} &= \frac{\alpha_0 K_0 E_{\textrm{th}}}{C_{V0}}, \\
     C_{V0} &= 3 n R \frac{(\frac{\Theta}{T})^2\exp(\frac{\Theta}{T})}{(\exp(\frac{\Theta}{T})-1)^2}, \\
-    E_{\textrm{th}} &= \int_{T0}^T \frac{1}{C_{V0}} dT
+    E_{\textrm{th}} &= 3 n R \Theta \left(0.5 + \frac{1}{ \exp(\frac{\Theta}{T}) - 1 }\right)
 
 :math:`\Theta` is the Einstein temperature of the crystal in Kelvin, approximated for a substance :math:`i` with :math:`n_i` atoms in the unit formula and a molar entropy :math:`S_i` using the empirical formula