$STONE group      (optional)                                                    
                                                                                
    This group defines the expansion points for Stone's                         
distributed multipole analysis (DMA) of the electrostatic                       
potential.                                                                      
                                                                                
    The DMA takes the multipolar expansion of each overlap                      
charge density defined by two Gaussian primitives, and                          
translates it from the center of charge of the overlap                          
density to the nearest expansion point.  Some references                        
for the method are                                                              
                                                                                
    A.J.Stone  Chem.Phys.Lett.  83, 233-239 (1981)                              
    A.J.Stone, M.Alderton  Mol.Phys.  56, 1047-1064(1985)                       
    A.J.Stone  J.Chem.Theory and Comput. 1, 1128-1132(2005)                     
                                                                                
    The existence of $STONE input is what triggers the                          
analysis. The first set of lines must appear as the first                       
line after $STONE (enter a blank line if you make no                            
choice), then enter as many choices as you wish, in any                         
order, from the other sets.                                                     
                                                                                
----------------------------------------------------------                      
                                                                                
BIGEXP    exponents larger than this are treated by                      
                 the original Stone expansion, and those                        
                 smaller by a numerical integration.  The                       
                 default is 0.0, meaning no numerical grid.                     
                 The other parameters are meaningless if                        
                 BIGEXP remains zero.                                           
                                                                                
NRAD       number of radial grid points (default 100)                     
NANG       number of angular grid points, choose one                      
                 of the Lebedev grid values (default 590)                       
SMOOTH   degree of Becke smoothing (default=2)                          
SMRAD    Radii choice, 0=constant, 1=Bragg-Slater,                      
                 which is the default.                                          
                                                                                
----------------------------------------------------------                      
                                                                                
ATOM i name, where                                                              
                                                                                
      ATOM     is a keyword indicating that a particular                        
               atom is selected as an expansion center.                         
      i        is the number of the atom                                        
      name     is an optional name for the atom. If not                         
               entered the name will be set to the name                         
               used in the $DATA input.                                         
                                                                                
----------------------------------------------------------                      
                                                                                
ATOMS          is a keyword selecting all nuclei in the                         
               molecule as expansion points.  No other                          
               input on the line is necessary.                                  
                                                                                
----------------------------------------------------------                      
                                                                                
BONDS          is a keyword selecting all bond midpoints                        
               in the molecule as expansion points.  No                         
               other input on the line is necessary.                            
                                                                                
----------------------------------------------------------                      
                                                                                
BOND i j name, where                                                            
                                                                                
      BOND     is a keyword indicating that a bond mid-                         
               point is selected as an expansion center.                        
      i,j      are the indices of the atoms defining the                        
               bond, corresponding to two atoms in $DATA.                       
      name     an optional name for the bond midpoint.                          
               If omitted, it is set to 'BOND'.                                 
                                                                                
----------------------------------------------------------                      
                                                                                
CMASS          is a keyword selecting the center of mass                        
               as an expansion point.  No other input on                        
               the line is necessary.                                           
                                                                                
----------------------------------------------------------                      
                                                                                
POINT x y z name, where                                                         
                                                                                
      POINT    is a keyword indicating that an arbitrary                        
               point is selected as an expansion point.                         
      x,y,z    are the coordinates of the point, in Bohr.                       
      name     is an optional name for the expansion                            
               point.  If omitted, it is set to 'POINT'.                        
                                                                                
----------------------------------------------------------                      
                                                                                
While making the EFPs for QM/MM run, a single keyword                           
QMMMBUF is necessary.  Adding additional keywords may lead                      
to meaningless results.  The program will automatically                         
select atoms and bond midpoints which are outside the                           
buffer zone as the multipole expansion points.                                  
                                                                                
QMMMBUF  nmo, where                                                             
                                                                                
      QMMMBUF  is a keyword specifying the number of QM/MM                      
               buffer molecular orbitals, which must be the                     
               first NMO orbitals in the MO set.  These                         
               orbitals must be frozen in the buffer zone,                      
               so this is useful only if $MOFRZ is given.                       
      NMO      is the number of buffer MO-s                                     
               (if NMO is omitted, it will be set to the                        
               number of frozen MOs in $MOFRZ)                                  
                                                                                
==========================================================                      
                                                                                
The second and third moments on the printout can be                             
converted to Buckingham's tensors by formula 9 of                               
  A.D.Buckingham, Quart.Rev. 13, 183-214 (1959)                                 
These can in turn be converted to spherical tensors                             
by the formulae in the appendix of                                              
  S.L.Price, et al.  Mol.Phys. 52, 987-1001 (1984)                              
                                                                                
                                                                                
                                                                                
                                                                                
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generated on 7/7/2017