--- trunk/src/math/SphericalHarmonic.cpp	2006/09/21 14:45:08	1043
+++ branches/development/src/math/SphericalHarmonic.cpp	2010/07/09 23:08:25	1465
@@ -6,19 +6,10 @@
  * redistribute this software in source and binary code form, provided
  * that the following conditions are met:
  *
- * 1. Acknowledgement of the program authors must be made in any
- *    publication of scientific results based in part on use of the
- *    program.  An acceptable form of acknowledgement is citation of
- *    the article in which the program was described (Matthew
- *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher
- *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented
- *    Parallel Simulation Engine for Molecular Dynamics,"
- *    J. Comput. Chem. 26, pp. 252-271 (2005))
- *
- * 2. Redistributions of source code must retain the above copyright
+ * 1. Redistributions of source code must retain the above copyright
  *    notice, this list of conditions and the following disclaimer.
  *
- * 3. Redistributions in binary form must reproduce the above copyright
+ * 2. Redistributions in binary form must reproduce the above copyright
  *    notice, this list of conditions and the following disclaimer in the
  *    documentation and/or other materials provided with the
  *    distribution.
@@ -37,14 +28,24 @@
  * arising out of the use of or inability to use software, even if the
  * University of Notre Dame has been advised of the possibility of
  * such damages.
+ *
+ * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your
+ * research, please cite the appropriate papers when you publish your
+ * work.  Good starting points are:
+ *                                                                      
+ * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).             
+ * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).          
+ * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).          
+ * [4]  Vardeman & Gezelter, in progress (2009).                        
  */
  
 #include <stdio.h>
+#include <cmath>
 #include <limits>
 #include "math/SphericalHarmonic.hpp"
 #include "utils/simError.h"
 
-using namespace oopse;
+using namespace OpenMD;
 
 SphericalHarmonic::SphericalHarmonic() {
 }
@@ -140,7 +141,7 @@ RealType SphericalHarmonic::Ptilde(int l,int m, RealTy
     result = 0.;
   } else {
     RealType y=(RealType)(2.*l+1.)*Fact(l-m)/Fact(l+m);
-    result = sqrt(y) * Legendre(l,m,x);
+    result = mpow(m) * sqrt(y) * Legendre(l,m,x) / sqrt(4.0*M_PI);
   }
   return result;
 }