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NAME

       oeprop - One-Electron Property Program

DESCRIPTION

       The  program  oeprop  computes expectation values of one-electron property operators using a one-particle
       density matrix computed from an eigenvector in PSIF_CHKPT or read  in  from  an  external  file.   It  is
       currently  capable  of  performing  Mulliken  population  analysis,  computing electric multipole moments
       through octopole, electrostatic properties at atomic centers (electrostatic  potential,  electric  field,
       electric  field  gradient,  electron  and spin density, dipolar anisotropic contribution to the hyperfine
       coupling constants), electron and spin density, electron and spin density gradient, Laplacian of electron
       and spin densities, electrostatic potential over an arbitrary two-dimensional (planar) rectangular  grid,
       and  molecular  orbitals  values  over  an  arbitrary  three-dimensional rectangular grid.  Miscellaneous
       capabilities include computation of the relativistic first-order one-electron corrections to  the  energy
       (mass-velocity  and  Darwin  terms), construction of natural molecular orbitals from one-particle density
       read from an external file (NOs can be written to  PSIF_CHKPT)  and  computation  of  spatial  extents  -
       expectation  values of X^2, Y^2, Z^2, and R^2 operators - of total electron density and of individual MOs
       (if READ_OPDM = false) or natural (if READ_OPDM = true) orbitals (MPMAX must be set to  a  value  greater
       than 1 for computing these entities). Spatial extents should be used cautiously, since they depend on the
       reference point.

REFERENCES

       Mulliken population analysis

       1.     Electronic  Population  Analysis  on  LCAO-MO  Molecular Wave Functions.  R. S. Mulliken, J. Chem.
              Phys. 23, 1833 (1955), ibid. 23, 1841 (1955), ibid.  36, 3428 (1962).

       Recurrence relations for one-electron integrals over Cartesian Gaussian functions.

       1.     Efficient recursive computation of molecular integrals over Cartesian Gaussian functions. S. Obara
              and A. Saika, J. Phys. Chem. 84, 3963 (1986).

       Fundamental physical constants and conversion factors.

       1.     CRC Handbook of chemistry and physics. Edited by D. R. Lide. 73rd edition (1992-1993).

FILES REQUIRED

           input.dat        - Input file
           PSIF_CHKPT       - Checkpoint file

FILES UPDATED

           output.dat
           dipmom.dat       -   Dipole moments
           esp.dat          -   Electrostatic potential on a 2D grid
           edens.dat        -   Electron density on a 2D grid
           edgrad.dat       -   Electron density gradient on a 2D grid
           edlapl.dat       -   Laplacian of the electron density on a 2D grid
           sdens.dat        -   Spin density on a 2D grid
           sdgrad.dat       -   Spin density gradient on a 2D grid
           sdlapl.dat       -   Laplacian of the spin density on a 2D grid
           mo.dat           -   Molecular orbital/Density values on a 3D grid
           mo.pov           -   MegaPov input file for rendering an image of mo.dat
           mo.cube          -   Molecular orbital(s) on a 3D grid in Gaussian94 Cube format
           dens.cube        -   Electron/spin density(s) on a 3D grid in Gaussian94 Cube format

INPUT FORMAT

       Most of the keywords are not necessary for routine tasks. The following keywords are valid:

       WFN = boolean
              Type of the wavefunction. This keyword is a "macro" that allows user to set most of the  necessary
              keywords. The following values are recognized :

              WFN = SCF - equivalent to READ_OPDM = false;

              WFN  =  DETCI   -  equivalent  to READ_OPDM = true, OPDM_FILE = 40, OPDM_BASIS = AO, OPDM_FORMAT =
              TRIANG;

              WFN = CCSD - equivalent to EAD_OPDM = true, OPDM_FILE = 79, OPDM_BASIS = AO, OPDM_FORMAT = TRIANG;

              WFN = QVCCD - equivalent to READ_OPDM = true, OPDM_FILE =  76,  OPDM_BASIS  =  SO,  OPDM_FORMAT  =
              TRIANG;

       READ_OPDM = boolean
              This flag specifies if the one-particle density matrix to be read from disk.  Default is false.

       OPDM_FILE = integer
              Specifies  one-particle  density  matrix  file  number.  Default  is 40 (master file).  To provide
              backward compatibility with the earlier PSI property packages  (proper,  ciprop,  ccprop)  special
              format  of the density file is assumed when OPDM_FILE = 40 (computing properties from CI density -
              ciprop compatibility mode) and OPDM_FILE = 79 (computing  properties  from  CC  density  -  ccprop
              compatibility  mode).   As of now, in generic case onepdm must be written in the very beginning of
              the file. In the future PSI will have a standard onepdm file.

       OPDM_BASIS = string
              This option may not exist in the future. As of February 1st, 1998, a standard for the onepdm  file
              format  has  not  been set. This keyword should be set to either "SO" (read in onepdm matrix in SO
              basis) or "AO" (in AO basis). Default is "SO".

       OPDM_FORMAT =  string
              This option may not exist in the future. This keyword should be set to either  "TRIANG"  (read  in
              onepdm matrix in lower triangular form) of "SQUARE" (in square form). Default is "TRIANG"

       ASYMM_OPDM =  boolean
              This  flag  specifies  whether  one-particle density matrix has to be symmetrized.  Must be set to
              true if generic non-symmetric onepdm to be read (for example,  from  a  coupled-cluster  program).
              This  keyword  is  for  code  development only. Existing PSI CC codes now in use produce symmetric
              onepdm, therefore there is no need to use this keyword.  Default is false.

       ROOT = integer
              This specifies which root to do the excited state analysis  for.   The  appropriate  one  particle
              density matrix will be read from disk.  Currently implemented for DETCI and DETCAS wavefunctions.

       MPMAX = integer
              This integer between 1 and 3 specifies the highest electric multipole moment to be computed.

              MPMAX = 1 - only electric dipole moment will be computed (default);

              MPMAX  = 2 - electric dipole and quadrupole moments will be computed; MPMAX = 3 - electric dipole,
              quadrupole, and octopole moments will be computed.

       MP_REF integer
              This parameter specifies the reference point for the electric multipole moments calculation.

              MP_REF = 0 (default) or 1 - the center of mass;

              MP_REF = 2 - the origin of the space coordinate system;

              MP_REF = 3 - the center of electronic charge;

              MP_REF = 4 - the center of nuclear charge;

              MP_REF = 5 - the center of net charge.

              CAUTION : According to classical electrodynamics, the electric 2^(n+1)-pole moment is  independent
              of  the  reference  point  only  if the electric 2^(n)-pole moment is vanishing. It means that the
              dipole moment will depend on the reference point if the total charge of the system is non-zero. By
              analogy, electric quadrupole moment will depend on the reference point  if  the  system  possesses
              non-zero electric dipole moment, etc.

       MP_REF_XYZ = real_vector
              This  vector  specifies  the coordinates of the reference point. If this keyword is present in the
              input MP_REF keyword will be disregarded.

       NUC_ESP = boolean
              This flag specifies if electrostatic properties will be  computed  at  the  nuclei.  Current  list
              includes  electrostatic  potential,  electric  field,  electric  field gradient, electron and spin
              density, and anisotropic constribution to the hyperfine coupling constants (the latter two require
              setting SPIN_PROP to true). Default is true.

       GRID = integer
              Specifies type of property to be evaluated over a grid.

              GRID = 0 (default) - compute nothing;

              GRID = 1 - electrostatic potential on a two-dimensional grid;

              GRID = 2 - electron density (spin density if SPIN_PROP is set to true) on a two-dimensional grid;

              GRID = 3 - electron density gradient (spin density gradient if SPIN_PROP is set to true) on a two-
              dimensional grid;

              GRID = 4 - Laplacian of the electron density (Laplacian of the spin density if SPIN_PROP is set to
              true) on a two-dimensional grid. According to the convention used in the field, what actually gets
              plotted are the Laplacians taken with negative sign.

              GRID = 5 - values of molecular orbitals on a three-dimensional grid.

              GRID = 6 - values of the electron density (spin density gradient if SPIN_PROP is set to true) on a
              three-dimensional grid.

       GRID_FORMAT = string
              Specifies in which format the grid output will be produced.  Currently, PLOTMTV (default  for  2-d
              grids), MEGAPOVPLUS (available for 3-d grids), and GAUSSCUBE(default for 3-d grids) are supported.

       MO_TO_PLOT = vector
              Specifies  indices  of  the  molecular  orbitals  to  be  computed on the 3-d grid. Indices can be
              specified as:

              unsigned integer - index in Pitzer ordering (ordered accoring to irreps, not eigenvalues).  Ranges
              from 1 to the number of MOs.

              signed integer - index with respect to Fermi level. +1 means LUMO, +2 means second lowest  virtual
              orbital, -1 means HOMO, etc.

              All  indices  have  to  be  either  unsigned  or  signed, you can't mix and match, or you will get
              unpredictable results.  Default is to compute HOMO and LUMO.

       GRID_ORIGIN = real_vector
              Specifies the origin of the grid. A rectangular grid box which envelops the entire  molecule  will
              be computed automatically if GRID_ORIGIN is missing, however, there is no default for 2-d grids.

       GRID_UNIT_X = real_vector
              This vector specifies the direction of the first (x) side of the grid.  It doesn't have have to be
              of unit length.  There is no default for 2-d grids.

       GRID_UNIT_Y = real_vector
              The  same  for  the  second  (y)  side. It doesn't have to be of unit length or even orthogonal to
              GRID_UNIT_X.  There is no default for 2-d grids.

       GRID_XY0 = real_2d_vector
              Specifies the coordinates of the lower left corner of the grid  rectangle  in  the  2D  coordinate
              system defined by GRID_ORIGIN, GRID_UNIT_X, and GRID_UNIT_Y.  There is no default.

       GRID_XY1 = real_2d_vector
              Specifies  the  coordinates  of  the upper right corner of the grid rectangle in the 2D coordinate
              system defined by GRID_ORIGIN, GRID_UNIT_X, and GRID_UNIT_Y.  There is no default.

       GRID_XYZ0 = real_3d_vector
              Specifies the coordinates of the far lower left corner of the grid box in the 3D coordinate system
              defined by GRID_ORIGIN, GRID_UNIT_X, GRID_UNIT_Y, and the cross-product of the latter  two.  There
              is no default.

       GRID_XYZ1 = real_3d_vector
              Specifies  the  coordinates  of  the  near upper right corner of the grid box in the 3D coordinate
              system defined by GRID_ORIGIN, GRID_UNIT_X, GRID_UNIT_Y, and the cross-product of the latter  two.
              There is no default.

       NIX = integer
              The  number  of  grid point along x direction. This parameter has to be greater than 1. Default is
              20.

       NIY = integer
              The same as NIX for y direction. Default is 20.

       NIZ = integer
              The same as NIX for z direction. Default is 20.

       GRID_ZMIN = double
              Lower limit on displayed z-values for contour plots of electron density and its Laplacian. Default
              is 0.0

       GRID_ZMAX = double
              Upper limit on displayed z-values for contour plots of electron density and its Laplacian. Default
              is 3.0

       EDGRAD_LOGSCALE = integer
              Controls logarithmic scaling of the produced electron density gradient plot. Turns the scaling off
              if set to zero, otherwise the higher value - the stronger  the  gradient  field  will  be  scaled.
              Recommended value (default) is 5.

       SPIN_PROP = boolean
              Flag for computing spin properties (Mulliken population analysis of alpha and beta densities, spin
              densities  and  anisotropic  contributions to the hyperfine coupling constants at atomic centers).
              Default is false.

       PRINT = integer
              This is the most important keyword - it determines amount of information  printed.  The  following
              values are currently used :

              PRINT  =  0  -  quiet  mode  -  print  out  essential results only - "compact" results of Mulliken
              population analysis, electric multipole moments, and electrostatic properties;

              PRINT = 1 (default) - all of the above plus list of tasks to be performed and list  of  caculation
              parameters;

              PRINT  =  2  -  all  of  the  above  plus Mulliken AO population matrix and electronic and nuclear
              components of electric dipole moment;

              PRINT = 3 - all of the above plus density matrix in AO basis and dipole  moment  integrals  in  AO
              (and SO) basis;

              PRINT  =  4  -  all of the above plus basis set information, natural orbitals in terms of symmetry
              orbitals, overlap matrix;

              PRINT >= 5 - all of the above plus coupling coefficient  vectors,  an  occupation  vector,  and  a
              modified Z-vector in MO basis.

       PRINT_NOS = boolean
              If  WRTNOS  =  TRUE  and  this option is also TRUE, the natural orbitals will be printed to output
              before they are written to the checkpoint file.

       WRTNOS = boolean
              If TRUE, the natural orbitals will be written to the checkpoint file.

GRID OUTPUT AND PLOTTING

       Currently, oeprop produces output of two-dimensional grids ready for  plotting  with  a  program  PLOTMTV
       version  1.3.2.  The  program is written by Kenny Toh (ktoh@td2cad.intel.com), software developer for the
       Technology CAD Department, Intel Corp, Santa Clara.  It is a freeware package, and can be downloaded  off
       the Internet.

       Three-dimensional  grids  are  output in format suitable for plotting with a program MegaPov version 0.5.
       This freeware program is a patched version of POV-Ray. It is developed by a number of people, and can  be
       downloaded  off  the Internet (go to http://nathan.kopp.com/patched.htm to find out more info). To render
       an MO or density image, edit (if  necessary)  command  file  mo.pov  created  by  oeprop  ,  and  execute
       megapovplus +Imo.pov For more options run megapovplus -h

                                                  March 30, 2001                                       oeprop(1)