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DAMQT

Release License DAMQT logo

A cross platform GUI-enabled package for fast and efficient analysis of molecular electron density, electrostatic potential, molecular orbitals and much more.

Copyright 2013-2022, Jaime Fernández Rico, Rafael López, Ignacio Ema, Guillermo Ramírez, Anmol Kumar, Sachin D. Yeole, Shridhar R. Gadre

DAM320 is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

DAM320 is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with DAM320. If not, see http://www.gnu.org/licenses/.

README updated in Feb 2022.

A Quick Guide to DAM320 Package

Authors: R. López(1), I. Ema(1), G. Ramírez(1), D. Zorrilla(2), A. Kumar(3), S. Yeole(4) and S. Gadre(5)

(1) Departamento de Química Física Aplicada, Facultad de Ciencias, Universidad Autónoma de Madrid, Spain.

(2) Departamento de Química Física, Universidad de Cádiz, Spain.

(3) School of Pharmacy, University of Maryland, USA.

(4) Department of Chemistry, Bhusawal Arts, Science and P. O. Nahata Commerce College, Bhusawal, India

(5) Savitribai Phule Pune University, India.

Contact: rafael.lopez@uam.es

Introduction

The DAM320 package consists of a set of programs designed for the partition and representation of the molecular electron density into atomic fragments as well as for the computation of several one-electron functionals from this representation.

In the Deformed Atoms in Molecules method, the atomic fragments are defined to retain as much as possible their sphericity. In the LCAO framework, this is accomplished by assigning to each atom all the one-center charge distributions centered on it as well as a part of its two-center distributions. The resultant atomic fragments are expanded in spherical harmonics times radial factors, and these radial factors are piecewise fitted to analytical functions.

The package is prepared to work with densities computed with Slater (STO) or Gaussian (GTO) basis sets. Geometry, basis set and the density matrix in that basis set are required. The density matrix may be computed with any standard package for molecular structure calculations within the LCAO framework, at any calculation level (HF, CI, MC, functional density, etc).

Interfaces are included in the package for reading data from GAUSSIAN(TM) *.fchk files and from MOLEKEL *.mkl files.

Details on the method and its implementation can be found in the BIBLIOGRAPHY quoted at the end of this file.

DAM320 package contents

The package contains the source files and a sample deck of input and output files.

The parallel versions have been prepared using MPI and tested with openmpi and mpich2 1.4.1p1

Install Requirements

  • Fortran90 compiler
  • Fortran90 MPI compiler
  • C++ compiler
  • Qt library (5.9 or higher)
  • OpenGL (3.3 or above)

Installation on Linux OS (Ubuntu)

  1. cd /path/to/DAMQTparentDirectory

  2. If your computer does not have C++ compiler or Fortran compiler, then install the build-essential package which is a reference for all the packages needed to compile a Debian package. It generally includes the GCC/g++ compilers and libraries and some other utilities.

sudo apt-get update
sudo apt-get install build-essential
  1. If your computer does not have Qt5, install
sudo apt-get install qt5-default

For Ubuntu 21 and above:

sudo apt-get install qtbase5-dev qtchooser qt5-qmake qtbase5-dev-tools
  1. Check OpenGL version in your computer. OpenGL 3.3 or higher is required and most machines with a dedicated GPU from AMD or NVIDIA support OpenGL 3.3 and above as long as this GPU was released within the last 4-5 years. If the GPU is 5 or more years old, there is a possibility that it does not support OpenGL 3.3. In this case you will need to check the specifications for your GPU model on the manufacturer’s website.
glxinfo | grep "OpenGL version"
  1. If you get an error in above command stating glxinfo not installed, please install mesa-utils
sudo apt-get install pkg-config mesa-utils libglu1-mesa-dev mesa-common-dev 
sudo apt-get install libglew-dev libglfw3-dev libglm-dev
sudo apt-get install libao-dev libmpg123-dev
  1. Check step 3 again to verify the version of OpenGL. If you still don't see OpenGL version >= 3.3 and you are sure that your driver supports OpenGL > 3.3 then
echo 'export MESA_GL_VERSION_OVERRIDE=3.3' >> ~/.bashrc
  1. If you want to use parallel version of package
sudo apt-get install openmpi-bin libopenmpi-dev

You will also need to add the path to bin and lib of openmpi binaries to your system path in .bashrc or .bash_profile file which is located in your home directory.

export PATH="path/to/mpicc/bin":$PATH
export LD_LIBRARY_PATH="path/to/mpicc/lib":$LD_LIBRARY_PATH

If you changed your .bashrc file, the changes will be in effect if you source it.

source ~/.bashrc
  1. For compilation of code you will require cmake or cmake-gui
sudo apt-get install cmake cmake-qt-gui
  1. You may configure the package using cmake as:
mkdir bin
cmake -S src/ -DCMAKE_INSTALL_PREFIX=/usr/local/bin -B bin
  1. If you use cmake-gui, follow the instructions there and make use of native gnu compilers. This should end with successful "configuration done" and "generation done". If configuration or generation was not successful, you need to specify the paths to libraries explicity during cmake and run cmake again till all libraries path are found.

  2. After successful configuration...

cd bin
make -j4
sudo make install
  1. Run the DAMQT GUI using
DAMQT320.exe
  1. Various exectuables available in DAMQT can also be run from commandline by providing appropriate input file. Refer to manual for more details.

Uninstall

To uninstall the package, type

sudo make uninstall

To remove executables, type

sudo make clean

Samples deck

A set of files is included to test the installation. The set includes input samples and the corresponding output for the several programs in the package.

Once you have installed the programs, run the samples and compare the output with that supplied in the package to test that everything works.

USER's GUIDE

In all the programs, the input file consists of two parts: the first one must always contain a NAMELIST named OPTIONS (although with different contents for each program), in which optional variables and parameters can be set. The namelist must appear necessarily in the top of the input file and, optionally, it can be empty (default values will be assigned in this case). The second part must appear after the namelist and contains input data which are mandatory. The first record after the namelist is always the projectname used to identify all the files in the project.

The following paragraphs briefly summarize the usage of each program in the package.

DAMSTO320.F90 (DAMSTO320_mpi.F90)

Program for the DAM partition/expansion of a molecular density expressed in terms of Slater functions.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires information about the geometry, basis set and LCAO density matrix computed with a program for electron structure calculation with STO in the LCAO framework, expressed in the basis set.

If the calculation has been carried out with SMILES, the geometry and basis set and the density matrix will be read from the "projectname.sgbs" and "projectname.den" generated by SMILES. Otherwise, these data will be supplied in a file "projectname.sgbsden" or in the standard input, after the projectname, according to the following structure:

RECORD 1: ncen (number of centers, integer*4)

RECORDS 2 to ncen+1: rcen(1,j), rcen(2,j), rcen(3,j), zn(j), nshells (cartesian coodinates, real8; nuclear charge, real8; and number of basis shells --i.e. sets of (n, l, exp) functions--, integer*4, for each center)

RECORDS ncen+2 and following: n, l, exp (n and l quantum numbers, integer4; and exponent, real8, of each basis set shell, in order)

remaining RECORDS: density matrix written in lower triangle form: ((dmat(i,j),j=1,i),i=1,nbasis)

Options in namelist and defaults:

longoutput = .false.    If .true. a more detailed output is given (mainly for debugging)

lvalence = .false.      If .true. only valence electrons are considered

lzdo = .false.          If .true. ZDO approximation holds
                    
lmaxexp = 10            Highest value of  l  in the expansion

lm2c = .false.          If .true. read data from a calculation with m2c
                        
lmultmx = 5             highest l of multipoles whose modules are stored

ioptaj = 1              1: fits the total density  (default)
                        2: fits the one-center part of the density
                        3: fits the two-center part of the density
                        
umbral = 1.d-12         Threshold for neglecting radial factors 

umbralres = 1.d-12      Threshold for truncating radial factors expansions

leg35 = .false.         if .true. uses a Legendre quadrature rule with 35 points for the B integrals
                        if .false.  uses a Legendre quadrature rule with 25 points for the B integrals  (default)
                        Currently, this is an obsolete option, because the integrals are computed by an alternative
                        procedure. It is kept only for testing purposes.
                    
ipmax = 20              length of the expansion of the B integrals in subroutine frgsigma

nqleg = 25              Default Legendre quadrature length for numerical integration of B integrals (Obsolescent)

thresoverlap = 1.d-12   Threshold for distributions neglect

u => uleg25             Default pointer initialization for Legendre quadrature abscissae (Obsolescent)

w => wleg25             Default pointer initialization for Legendre quadrature weights (Obsolescent)

wthreshold = 200        Threshold for B integrals (see Avk subroutine)

iswindows = .false.     .true. if running on a MS-windows system

Output files

DAMSTO320 writes to the standard output some information of input, the multipolar moments of the atomic fragments and the molecular multipolar moments.

DAMSTO320 also generates two unformatted files: "projectname.damqt" and "projectname.dmqtv". File "projectname.damqt" contains the data of the density fit to be used by the remaining programs of the package. The content of this file can be read with the ancillary program "readdamqt320" also included in the package (readdamqt320.F90). This file requires as input data the projectname and writes the content of the file "projectname.damqt" as text to the standard output. File "projectname.dmqtv" contains auxiliary integrals for computation of electrostatic potential and forces.

A file "projectname.xyz" with the geometry in angstrom is generated for compatibility with gOpenMol and other programs.

A file "projectname.mltmod" with the modules of the atomic multipolar moments is also created.

DAMGTO320.F90 (DAMGTO320_mpi.F90)

Program for the DAM partition/expansion of a molecular density expressed in terms of Gaussian functions.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires information about the geometry, basis set and LCAO density matrix computed with a program for electron structure calculation with GTO in the LCAO framework, expressed in the basis set. Geometry and basis set are read from the formatted file "projectname.ggbs" according to the following structure:

RECORD 1: ncen (number of centers, integer*4)

RECORD 2 to ncen+1: rcen(1,j), rcen(2,j), rcen(3,j), zn(j) (cartesian coodinates and nuclear charge for each center, real*8)

For each center I:

RECORD(I,1): number of contractions in center I

For each contraction (I,J):
    
    RECORD(I,J,1): number of primitives and L quantum number in the contraction (integer*4)
    
    RECORD(I,J,2): primitive exponents
    
    RECORD(I,J,2): contraction coefficients

Density matrix is read from file "projectname.den" with the number of contracted basis functions followed by the elements of density matrix written in lower triangle form::

RECORDS: nbasis, ((dmat(i,j),j=1,i),i=1,nbasis)

Options in namelist and defaults:

longoutput = .false.    If .true. a more detailed output is given (mainly for debugging)

lvalence = .false.      If .true. only valence electrons are considered

lzdo = .false.          If .true. ZDO approximation holds

lmaxexp = 10            Highest value of  l  in the expansion

lmultmx = 5             Highest l of multipoles whose modules are stored

ioptaj = 1            1: fits the total density  (default)
                      2: fits the one-center part of the density
                      3: fits the two-center part of the density
                      
umbral = 1.d-12         ! Threshold for neglecting radial factors

mbralres = 1.d-12      ! Threshold for truncating radial factors expansions

iswindows = .false.		! .true. if running on a MS-windows system

Output files

DAMGTO320 writes to the standard output some information of input, the multipolar moments of the atomic fragments and the molecular multipolar moments.

DAMGTO320 also generates two unformatted files: "projectname.damqt" and "projectname.dmqtv". File "projectname.damqt" contains the data of the density fit to be used by the remaining programs of the package. The content of this file can be read with the ancillary program "readdamqt320" also included in the package (readdamqt320.F90). This file requires as input data the projectname and writes the content of the file "projectname.damqt" as text to the standard output. File "projectname.dmqtv" contains auxiliary integrals for computation of electrostatic potential and forces.

A file projectname.xyz with the geometry in angstrom is generated for compatibility with gOpenMol and other programs.

A file "projectname.mltmod" with the modules of the atomic multipolar moments is also created.

DAMDEN320.F90 (DAMDEN320_mpi.F90)

Computes electron density from DAM partition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires the file projectname.damqt generated y DAMSTO320 or DAMGTO320.

Options in namelist and defaults:

longoutput = .false.     If .true. a more detailed output is given (mainly for debugging)

langstrom = .true.       If .false. distances in bohr for .plt files

ldeform = .false.        If .true. density deformations are computed (lminrep = 1)

lexact  = .false.        If .true. "exact" density is tabulated from basis set and density matrix

lminrep = 0              lowest "l" in the expansion of the density. It does not hold if "lexact .eq. true"

lmaxrep = 10             highest "l" in the expansion of the density. It does not hold if "lexact .eq. true"
                         the expansion of the density takes lminrep <= l <= lmaxrep 
                    
lmolec = .true.          If .true. tabulation of the whole molecular density

latomics  = .false.      If .true. tabulation of atomic densities stored in files named:
                         projectname-cxx-d.plt (gOpenMol)
                         where xx refers to the center corresponding to the tabulation

latomsel = .false.       If .true. indices of the centers for atomic tabulations will be user-supplied
                         The indices of the selected atoms must be supplied in vector "iatomsel".
                         Maximum number of centers that can be selected "mxsel" (parameter).
                     
nsel = 0                 Number of centers for atomic tabulations

lgradient = .false.      If .true. gradient components of the density computed
                    
laplacian = .false.      If .true. Laplacian of density computed 

lderiv2 = .false.        If .true. second derivatives of the density computed

iatomsel(1) = 1          To cover the possibility of an input file with "latomsel = .true." 
                         but without assignment of "iatomsel".

ldensacc  = .false.      If .true. computes and tabulates the accumulated density of the selected atoms in file 
                         projectname-frg-d.plt

lboundsx = .false.       If .true. the evaluation of deformation charges is constrained to a range in x

xboundinf = cero         Lower limit of that range

xboundsup = cero         Upper limit of that range

lboundsy = .false.       If .true. the evaluation of deformation charges is constrained to a range in y

yboundinf = cero         Lower limit of that range

yboundsup = cero         Upper limit of that range

lboundsz = .false.       If .true. the evaluation of deformation charges is constrained to a range in z

zboundinf = cero         Lower limit of that range

zboundsup = cero         Upper limit of that range

lgrid = .true.           If .true. computes and tabulates on a grid. The results are stored in an external file *.plt

lgrid2d = .false.        If .true. computes a 2D grid. (x,y,z) are given in terms of (u,v)

lpoints = .false.        If .true. computes in selected points and prints out the results in the standard output. 
                         Points must be given in cartesian coordinates. 
                         If lgrid .eq. .true., these coordinates must be placed after the grid data

numrtab = 0              Number of tabulation points supplied in namelist

rtab = cero              Tabulation points supplied in namelist

umbrlargo = 1.d-8        Threshold for determining the short-range radius

filename = ""            root file name for .plt and .pltd files

iswindows = .false.      .true. if running on a MS-windows system

xinf, xsup, dltx:        lower and upper bounds, and step in x coordinate for 3D grid

yinf, ysup, dlty:        lower and upper bounds, and step in y coordinate for 3D grid

zinf, zsup, dltz:        lower and upper bounds, and step in z coordinate for 3D grid

x_func_uv = 'u'          x = u for 2D grids:  default: plane XY

y_func_uv = 'v'          y = v for 2D grids

z_func_uv = '0'          z = 0 for 2D grids

uinf, usup, dltu:        lower and upper bounds, and step in u coordinate for 2D grid

vinf, vsup, dltv:        lower and upper bounds, and step in v coordinate for 2D grid

planeA = cero            Default: plane for 2D plotting: XY:  A = 0, B = 0, C = 1  (z = 0)

planeB = cero

planeC = uno

planecase = 1

Output files

DAMDEN320 writes to the standard output some information of input and the values of density and its derivatives at individual selected points.

If the 3D grid option is selected, it generates files with extensions ".plt" and ".pltd" containing the values of the several properties in the grid, according to the following naming convention:

projectname-d.plt: density projectname-d-dx.pltd: derivative of the density with respect to x projectname-d-dy.pltd: derivative of the density with respect to y projectname-d-dz.pltd: derivative of the density with respect to z projectname-d-dxx.pltd: second derivative of the density with respect to x twice projectname-d-dyy.pltd: second derivative of the density with respect to y twice projectname-d-dzz.pltd: second derivative of the density with respect to z twice projectname-d-dxy.pltd: second derivative of the density with respect to x and y projectname-d-dxz.pltd: second derivative of the density with respect to x and z projectname-d-dyz.pltd: second derivative of the density with respect to y and z projectname-d-lplc.plt: Laplacian of density projectname-cx-d.plt: density of atomic fragment: c stands for atomic symbol and x for the center index.

These files are compatible with gOpenMol.

If the 2D grid option is selected, it generates a file "projectname_???-d.cnt" with the values of density in the grid points.

If the selected points tabulation and second derivatives options are chosen (lpoints = .true. .and. lderiv2 = .true.) a text file "projectname-d.der2" with the second derivatives (dxx, dxy, dxz, dyy, dyz, dzz) is printed.

DAMPOT320.F90 (DAMPOT320_mpi.F90)

Computes electrostatic potential from DAM partition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires the file "projectname.damqt" generated and DAMSTO320 or DAMGTO320.

Options in namelist and defaults:

longoutput = .false.    If .true. a more detailed output is given (mainly for debugging)

geomthr = 1.d-10        Geometry threshold: two points at a distance lower than geomthr are considered to be the coincident

langstrom = .true.      If .false. distances in bohr in .plt files

largo = .false.         If .true. long-range potential

lexact  = .false.       If .true. "exact" potential is tabulated

lgrid = .true.          If .true. computes and tabulates on a grid. The results are stored in an external file *.plt

lmaxrep = 10            Highest "l" in the expansion of the potential

lgradient = .false.     If .true. gradient components of the electrostatic potential computed

lderiv2 = .false.       If .true. second derivatives of the electrostatic potential computed

lgrid2d = .false.       If .true. computes a 2D grid. (x,y,z) are given in terms of (u,v)

lpoints = .false.       If .true. computes in selected points and prints out the results in the standard output. 
                        Points must be given in cartesian coordinates. 
                        If lgrid .eq. .true., these coordinates must be placed after the grid data
                        
lvalence = .false.      If .true. only valence electrons are considered
                    
umbrlargo = 1.d-8       Threshold for determining the short-range radius
    
numrtab = 0             Number of tabulation points supplied in namelist

rtab = cero             Tabulation points supplied in namelist

iswindows = .false.     .true. if running on a MS-windows system

filename = ""           root file name for .plt and .pltd files

xinf, xsup, dltx:       lower and upper bounds, and step in x coordinate for 3D grid

yinf, ysup, dlty:       lower and upper bounds, and step in y coordinate for 3D grid

zinf, zsup, dltz:       lower and upper bounds, and step in z coordinate for 3D grid

x_func_uv = 'u'         x = u for 2D grids:  default: plane XY

y_func_uv = 'v'         y = v for 2D grids

z_func_uv = '0'         z = 0 for 2D grids

uinf, usup, dltu:       lower and upper bounds, and step in u coordinate for 2D grid

vinf, vsup, dltv:       lower and upper bounds, and step in v coordinate for 2D grid
    
planeA = cero        ! Default: plane for 2D plotting: XY:  A = 0, B = 0, C = 1  (z = 0)

planeB = cero

planeC = uno

planecase = 1

Output files

DAMPOT320 writes to the standard output some information of input and the values of electrostatic potential and its derivatives at individual selected points.

If the 3D grid option is selected, it generates files with extension ".plt" and ".pltd" containing the values of the several properties in the grid, according to the following naming convention:

projectname-v.plt: electrostatic potential projectname-v-dx.pltd: derivative of the electrostatic potential with respect to x projectname-v-dy.pltd: derivative of the electrostatic potential with respect to y projectname-v-dz.pltd: derivative of the electrostatic potential with respect to z projectname-v-dxx.pltd: second derivative of the electrostatic potential with respect to x twice projectname-v-dyy.pltd: second derivative of the electrostatic potential with respect to y twice projectname-v-dzz.pltd: second derivative of the electrostatic potential with respect to z twice projectname-v-dxy.pltd: second derivative of the electrostatic potential with respect to x and y projectname-v-dxz.pltd: second derivative of the electrostatic potential with respect to x and z projectname-v-dyz.plt: second derivative of the electrostatic potential with respect to y and z

These files are compatible with gOpenMol.

If the 2D grid option is selected, it generates a file "projectname_???-v.cnt" with the values of electrostatic potential in the grid points.

If the selected points tabulation and second derivatives options are chosen (lpoints = .true. .and. lderiv2 = .true.) a text file "projectname-v.der2" with the second derivatives (dxx, dxy, dxz, dyy, dyz, dzz) is printed.

DAMSGHOLE320.F90 (DAMSGHOLE320_mpi.F90)

Computes electrostatic potential on a density isosurface from DAM partition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires the file projectname.damqt generated y DAM320 or G-DAM320.

Options in namelist and defaults:

contourval = 1.d-3       value of density for isosurface

dlthist = 1.d-3          step size for histogram

filename = ""            root file name for output surface files (*.srf, *.sgh)

geomthr = 1.d-5          Geometry threshold: two points at a distance lower than geomthr are considered to be the coincident

gridname = ""            name of file with density grid

langstrom = .true.       If .false. original grid distances in bohr

lbinary = .true.         If true writes a file *.srf with the surface in binary form, otherwise writes a file *.srf_txt text mode

lcolor = .false.         If true generates a file .srf with vertices positions, normals and colors

lexact  = .false.		     If .true. "exact" potential is tabulated

lmaxrep = 5              highest "l" in the expansion of the density and potential

longoutput = .false.     If true a more detailed output is given

lsghole = .true.         If true generates a file *.sgh with the vertices positions and normals and mesp values on a med isosurface 

lvalence = .false.       If .true. only valence electrons are considered

thrslocal = 0.9d0        Threshold for search of local maxima and minima

topcolor = 0.05d0        parameter for color assignment (blue: -topcolor, red: topcolor)

umbrlargo = 1.d-9        Threshold for determining the short-range radius

iswindows = .false.      true if running on a MS-windows system

Output files

DAMSGHOLE320 writes to the standard output some information of input and the number of electrostatic potential extrema on the density isosurface and the values and coordinates.

A file with extension ".sgh" is generated for sigma hole 3D display and another with extension ".hst" with a histogram of MESP vs surface area on the density isosurface that can be visualized with the 2D ploter.

A file "summary.txt" is written with a summary of statistics on MESP (see Appendix C in manual for details)

DAMFIELD320.F90 (DAMFIELD320_mpi.F90)

Computes electric field from DAM patition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires the file "projectname.damqt" generated y DAMSTO320 or DAMGTO320.

Optionally extra field lines can be read from an external file whose records contain the following data:

RECORD I: icnt, x0, y0, z0

where icnt is a center index (or 0) (integer4), x0, y0, z0 are Cartesian coordinates of a point in the line (real8)

If (icnt .eq. 0 .or. icnt .gt. ncen), x0, y0, y0 is the starting point for the line. Otherwise, the line starts at the center icnt and its second point is x0, y0, y0.

Options in namelist and defaults:

basintol = 1.e-6       A point lays on the plane if its distance is lower than this
  
ioplines3D = 1         Set of lines per nucleus for 3D plots based on icosahedron vertices, C2 axes and C3 axes or combinations of them:
                       1: vertices (12 points);   2: C3 axes (20 points);   3: C2 axes (30 points)
                       4: vertices + c3 ;   5: vertices + C2;   6: C2 + C3;   7: vertices + C2 + C3

longoutput = .false.   If .true. a more detailed output is given (mainly for debugging)

iswindows = .false.    .true. if running on a MS-windows system

lmaxrep = 5            highest value of  l  in the expansion of the density for computing the field

umbrlargo = 1.d-5      Threshold for determining the short-range radius

usalto = 1.d-3         Threshold for convergence in stride

numpnt = 2000          Maximum number of points in each field line

lextralines = .false.	 If .true. reads extra lines from a file

largo = .false.        If .true. computes the long-range field

lplot2d = .false.      If .true. 2D plot (lines projection over a 2D surface). Not available in mpi version
    
lvalence = .false.     If .true. only valence electrons are considered

nlinpernuc = 16        Number of lines per nucleus for 2D plots

filename = ""          root file name for .cam files

filelines = ""         File with starting points for field lines

xinf, xsup, dltx:      lower and upper bounds, and step in x coordinate for grid

yinf, ysup, dlty:      lower and upper bounds, and step in y coordinate for grid

zinf, zsup, dltz:      lower and upper bounds, and step in z coordinate for grid

dlt0 = 1.d-2           stride length

planeA = cero          Default: plane for 2D plotting: XY:  A = 0, B = 0, C = 1  (z = 0)

planeB = cero

planeC = uno

uinf = cero

usup = uno

uvratio = uno

vinf = cero

vsup = uno

nlines = 0            Number of starting points for extra lines in namelist

icntlines = 0         Array with indices for starting nuclei of extra lines (0 for lines starting in a point other than nuclei)

rlines = cero         Array with coordinates (in au) of points defining lines

Output files

DAMFIELD320 writes to the standard output some information of input and some statistics.

If 3D option is selected (lplot2d .eq. .false.), a file "projectname.cam" is generated containing the data of electric field lines. The lines are given as sets of coordinates x, y, z of the points in the line. Different lines are separated by blank lines.

If 2D option is selected (lplot2d .eq. .true.), a file "projectname.cam2D" is generated containing the data of electric field lines. The lines are given as sets of coordinates x, y of the points in the line. Different lines are separated by blank lines.

The "projectname.cam" and "projectname.cam2D" files can be used with gnuplot to plot the electic field lines. An example is included within the samples.

DAMFIELDPNT320.F90

Computes electric field in slected points from DAM patition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project and the Cartesian coordinates where the field will be computed.

The available options are described below.

Besides these data, it also requires the file projectname.damqt generated y DAMSTO320 or DAMGTO320.

Options in namelist and defaults:

longoutput = .false.     If .true. a more detailed output is given (mainly for debugging)

lvalence = .false.      ! If .true. only valence electrons are considered

lmaxrep = 5             highest value of  l  in the expansion of the density for computing the field

umbrlargo = 1.d-5         Threshold for determining the short-range radius

largo = .false.         If .true. computes the long-range field

iswindows = .false.        .true. if running on a MS-windows system

Output files

DAMFIELDPNT320 writes to the standard output some information of input, the values of the electric field components at the tabulation points and some statistics.

DAMDENGRAD320.F90 (DAMDENGRAD320_mpi.F90)

Computes density gradient from DAM partition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires the file "projectname.damqt" generated y DAMSTO320 or DAMGTO320.

Optionally extra field lines can be read from an external file whose records contain the following data:

RECORD I: icnt, x0, y0, z0

where icnt is a center index (or 0) (integer4), x0, y0, z0 are Cartesian coordinates of a point in the line (real8)

If (icnt .eq. 0 .or. icnt .gt. ncen), x0, y0, y0 is the starting point for the line. Otherwise, the line starts at the center icnt and its second point is x0, y0, y0.

Options in namelist and defaults:

basintol = 1.e-6       A point lays on the plane if its distance is lower than this
  
ioplines3D = 1         Set of lines per nucleus for 3D plots based on icosahedron vertices, C2 axes and C3 axes or combinations of them:
                       1: vertices (12 points);   2: C3 axes (20 points);   3: C2 axes (30 points)
                       4: vertices + c3 ;   5: vertices + C2;   6: C2 + C3;   7: vertices + C2 + C3

longoutput = .false.   If .true. a more detailed output is given (mainly for debugging)

iswindows = .false.    .true. if running on a MS-windows system

lmaxrep = 5            highest value of  l  in the expansion of the density for computing the field

umbrlargo = 1.d-5      Threshold for determining the short-range radius

usalto = 1.d-3         Threshold for convergence in stride

numpnt = 2000          Maximum number of points in each field line

lextralines = .false.	 If .true. reads extra lines from a file

lplot2d = .false.      If .true. 2D plot (lines projection over a 2D surface). Not available in mpi version

nlinpernuc = 16        Number of lines per nucleus for 2D plots

filename = ""          root file name for .cam files

filelines = ""         File with starting points for field lines

xinf, xsup, dltx:      lower and upper bounds, and step in x coordinate for grid

yinf, ysup, dlty:      lower and upper bounds, and step in y coordinate for grid

zinf, zsup, dltz:      lower and upper bounds, and step in z coordinate for grid

dlt0 = 1.d-2           stride length

planeA = cero          Default: plane for 2D plotting: XY:  A = 0, B = 0, C = 1  (z = 0)

planeB = cero

planeC = uno

uinf = cero

usup = uno

uvratio = uno

vinf = cero

vsup = uno

nlines = 0            Number of starting points for extra lines in namelist

icntlines = 0         Array with indices for starting nuclei of extra lines (0 for lines starting in a point other than nuclei)

rlines = cero         Array with coordinates (in au) of points defining lines

Output files

DAMDENGRAD320 writes to the standard output some information of input and some statistics.

If 3D option is selected (lplot2d .eq. .false.), a file "projectname.dengr" is generated containing the data of density gradient lines. The lines are given as sets of coordinates x, y, z of the points in the line. Different lines are separated by blank lines.

If 2D option is selected (lplot2d .eq. .true.), a file "projectname.dengr2D" is generated containing the data of density gradient lines. The lines are given as sets of coordinates x, y of the points in the line. Different lines are separated by blank lines.

The "projectname.dengr" and "projectname.dengr2D" files can be used with gnuplot to plot the electic field lines. An example is included within the samples.

DAMFORCES320.F90

Computes Hellmann-Feynman forces on nuclei from DAM patition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires the file projectname.damqt generated y DAM320 or G-DAM320.

Options in namelist and defaults:

longoutput = .false.    If .true. a more detailed output is given (mainly for debugging)

latomsel = .false.      If .true. indices of the centers for atomic tabulations will be user-supplied
                        The indices of the selected atoms must be supplied in vector "iatomsel".
                        
lvalence = .false.      If .true. only valence electrons are considered
                        
lmaxrep = 10            highest "l" for the computation of forces

ncntab = 1              Number of atoms selected for tabulation (dummy, only used by DAMQT GUI)

iatomsel(1) = 1         To cover the possibility of an input file with "latomsel = .true."
iatomsel(2:mxsel) = 0   but without assignment of "iatomsel". 

umbrlargo = 1.d-8       Long-range threshold
                    
iatomsel(1) = 1         If "latomsel = .true." selected atoms for detailed forces decomposition

iswindows = .false.     .true. if running on a MS-windows system

filename = ""           root file name for .fre, .fri, .frt, .fcf, .fnc files

Output files

DAMFRAD320 writes to the standard output some information of input and the tabulation of the selected radial factor and its first and second derivatives.

It also generates a file "projectname.forces" which contains the components of the Hellmann-Feynman forces over nuclei in the following order:

internal forces on nuclei (forces due by the electron cloud of the atom to which the nucleus belongs) external forces on nuclei (forces due to the electron cloud of the remaining atoms) total forces (sum of the two previous ones) conformational forces non-conformational forces (spurious forces)

DAMFRAD320.F90

Tabulates radial factors of DAM patition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project. The available options are described below.

Besides these data, it also requires the file projectname.damqt generated y DAM320 or G-DAM320.

Options in namelist and defaults:

longoutput = .false.    If .true. a more detailed output is given (mainly for debugging)

lderiv = .false.        If .true. tabulates the first derivative of the radial factors

lderiv2 = .false.       If .true. tabulates the second derivative of the radial factors

rini = cero             Lower bound of interval for tabulation

rfin = dos              Upper bound of interval for tabulation

dltr = ri(10)           Step for tabulation

ncntab = 1              Number of atoms selected for tabulation

iatomsel(1) = 1         Atoms selected for tabulation

iatomsel(2:mxsel) = 0    

ltab = 0                l  value for tabulation

mtab = 0                m  value for tabulation

lrlist = .false.        If true, list of r values for tabulation supplied in rlist

nlist = 0               Number of elements in rlist

iswindows = .false.     .true. if running on a MS-windows system

filename = ""           root file name

Output files

DAMFRAD320 writes to the standard output some information of input and the tabulation of the selected radial factor and its first and second derivatives. It also writes a file ".frad" with the tabulation data.

DAMMULTROT320.F90

Computes oriented multipolar moments of atomic fragments from DAM patition/expansion.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project, and the indices of the three centers whose multipolar moments will be rotated. The available options are described below.

Besides these data, it also requires the file projectname.damqt generated y DAM320 or G-DAM320.

Options in namelist and defaults:

iswindows = .false.   .true. if running on a MS-windows system

i1 = 1                index of first center defining the axes orientation

i2 = 2                index of second center defining the axes orientation

i3 = 3                index of third center defining the axes orientation

lmin = 0              lowest order of multipolar moments to be rotated

lmin = 0              highest order of multipolar moments to be rotated

ncntab =              number of centers for tabulations (apart from the centers used to define the frame)

icntab(:) = 0         indices of centers to be tabulated

rip = 0               vector defining the X' axis of the rotated frame (should be in the plane defined by the
                      three centers, otherwise its projection in that plane is taken)
                      
filename = ""		      root file name

Output files

DAMMULTROT320 writes to the standard output some information of input and the tabulation of the selected multiplar moments of the three selected centers referred to normalized spherical harmonics in the frame with: Z' axis perpendicular to the centers Y' axis bisector of the angle formed by the three centers (second center in the angle vertex) X' axis orthogonal to Z' and Y' (right-handed system)

DAMZernike-Jacobi_STO.F90 (DAMZernike-Jacobi_STO_mpi.F90)

Computes Zernike 3D and Jacobi moments of a STO molecular density.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project, and the indices of the three centers whose multipolar moments will be rotated. The available options are described below.

Besides these data, it also requires the file projectname.damqt file.

Options in namelist and defaults:

kexpansion = 10            Highest k in expansion functions

kmax0 = 200                length of expansion of radial functions for STO translation

jmax = 100                 length of the series used for comuting  the starting BesselI functions

lechelon = .false.         if true number of functions per l equal to max(lexpansion+1,kexpansion)-l

lexpansion = 20            Highest l in expansion functions

ljacobi = .false.          if .true. uses Jacobi P(0,2+2l) polynomials as radial functions instead of Zernike 3D

lmthfile = .false.         if .true. generates a projectname.mth file with data about the moments computation

longoutput = .false.       If .true. a more detailed output is given

lrstarrel = .false.        If .true. ball radius equal to distance of farthest atom plus rstar

lvalence = .false.         If .true. only valence electrons are considered

lzdo = .false.             If .true. ZDO approximation holds

nquadpoints = 128          Number of quadrature points

rstar = 10.d0              Ball radius for expansion

thresmult = 1.d-10         Threshold for printing multipole moments

thresoverlap = 1.d-12      Threshold for distributions neglect

iswindows = .false.        .true. if running on a MS-windows system

Output files

DAMZernike-Jacobi_GTO(STO) writes to the standard output some information of input and the one-center expansion of GTO(STO) density into Canterkis-Zernike or Jacobi-Zernike functions. In particular, rotationally invariant fingerprints are quoted.

It also writes a file ".zernike" (".jacobi") with the expansion of the density in Zernike (Jacobi) functions.

DAMZernike-Jacobi_GTO.F90 (DAMZernike-Jacobi_GTO_mpi.F90)

Computes Zernike 3D and Jacobi moments of a GTO molecular density.

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project, and the indices of the three centers whose multipolar moments will be rotated. The available options are described below.

Besides these data, it also requires the file projectname.damqt file.

Options in namelist and defaults:

kexpansion = 10            Highest k in expansion functions

lechelon = .false.         if true number of functions per l equal to max(lexpansion+1,kexpansion)-l

lexpansion = 20            Highest l in expansion functions

ljacobi = .false.          if .true. uses Jacobi P(0,2+2l) polynomials as radial functions instead of Canterakis-Zernike

lmthfile = .false.         if .true. generates a projectname.mth file with data about the moments computation

longoutput = .false.       If .true. a more detailed output is given

lrstarrel = .false.        If .true. ball radius equal to distance of farthest atom plus rstar

lvalence = .false.         If .true. only valence electrons are considered

lzdo = .false.             If .true. ZDO approximation holds

nquadpoints = 128          Number of quadrature points

rstar = 10.d0              Ball radius for expansion

thresmult = 1.d-10         Threshold for printing multipole moments

thresoverlap = 1.d-12      Threshold for distributions neglect

iswindows = .false.        .true. if running on a MS-windows system

Output files

DAMZernike-Jacobi_GTO(STO) writes to the standard output some information of input and the one-center expansion of GTO(STO) density into Canterkis-Zernike or Jacobi-Zernike functions. In particular, rotationally invariant fingerprints are quoted.

It also writes a file ".zernike" (".jacobi") with the expansion of the density in Zernike (Jacobi) functions.

DAMDENZJ320.F90

Tabulates density from expansion in Canterakis-Zernike or Jacobi functions

Input files

In the standard input, a namelist (OPTIONS) containing optional parameters will be read first, followed by the projectname wich will be used to identify all the files corresponding to the project, and the indices of the three centers whose multipolar moments will be rotated. The available options are described below.

Besides these data, it also requires the file projectname.damqt file.

Options in namelist and defaults:

langstrom = .true.         If .false. distances in bohr

lechelon = .false.         if true number of functions per l equal to max(lexpansion+1,nexpansion)-l

lindividk = .false.        If true projection functions with given values of k index and all l and m compatible indices are used

lindividl = .false.        If true projection functions with given values of l index and all k and m compatible indices are used

lindividlk = .false.       If true projection functions with given values of k, l indices and all m compatible indices are used

lindividlkm = .false.      If true only projection functions with given values of k, l, m indices are used

ljacobi = .false.          If .true. expansion in Jacobi functions

lgrid = .true.             If .true. computes and tabulates on a grid. The results are stored in an external file *.plt

lgradient = .false.        If .true. gradient components of the density computed and, if lgrid = .true., tabulated in files
                              projectname-d-dx.pltd, projectname-d-dy.pltd, projectname-d-dz.pltd
                          
lgrid2d = .false.          If .true. computes a 2D grid. (x,y,z) are given in terms of (u,v)

lpoints = .false.          If .true. computes in selected points and prints out the results in the standard output.
                           Points must be given in cartesian coordinates.
                           If lgrid .eq. .true., these coordinates must be placed after the grid data
                          
kmaxrep = 10               Highest k in expansion

lminrep = 0                Lowest l in expansion

lmaxrep = 10               Highest l in expansion

numrtab = 0                Number of tabulation points supplied in namelist

filename = ""              root file name for .plt and .pltd files

fileZJname = ""            .zernike or .jacobi files

iswindows = .false.        .true. if running on a MS-windows system

xinf, xsup, dltx:          lower and upper bounds, and step in x coordinate for grid

yinf, ysup, dlty:          lower and upper bounds, and step in y coordinate for grid

zinf, zsup, dltz:          lower and upper bounds, and step in z coordinate for grid

x_func_uv = 'u'         x = u for 2D grids:  default: plane XY

y_func_uv = 'v'         y = v for 2D grids

z_func_uv = '0'         z = 0 for 2D grids

uinf, usup, dltu:       lower and upper bounds, and step in u coordinate for 2D grid

vinf, vsup, dltv:       lower and upper bounds, and step in v coordinate for 2D grid

Output files

DAMDENZJ320 writes to the standard output some information of input and the tabulation of one-center expansion of GTO(STO) density into Canterkis-Zernike or Jacobi functions.

If the grid option is selected, generates files with extensions ".plt" and ".pltd" containing the values of the several properties in the grid, according to the following naming convention:

projectname-type-d.plt: density projectname-type-d-dx.pltd: derivative of the density with respect to x projectname-type-d-dy.pltd: derivative of the density with respect to y projectname-type-d-dz.pltd: derivative of the density with respect to z

where type can be "zernike" or "jacobi"

readdamqt320.F90

Reads the content of an unformatted file "projectname.damqt" and dumps it as text to the standard output.

To run it, just type

readdamqt320.exe

and you will be prompted for the name of the ".damqt" file to be read. Type it (with or without the ".damqt" extension) and press enter.

To get the output into a file, use the > character. For instance:

readdamqt320.exe > projectname.damqt_txt

readcnt.F90

Reads the content of a binary file with 2D grids "fname.cnt" and dumps it as text to a file "fname.cnt_txt", where fname stands for the corresponding file name. I creates also a "fname.cnt_gnu_txt" that can be loaded with gnuplot.

To run it, just type

readcnt.exe

readplt320.F90

Reads the content of a binary grid file "fname.plt" ("fname.pltd") and prints it to a text file named "fname.plt_txt" ("fname.pltd_txt")

To run it, just type

readplt320.exe

and you will be prompted for the name of the ".plt" file to be read. Type it (with or without the .plt extension) and press enter.

Output goes to a file with the same name as the original ".plt" file appended with "txt"

subtractplt320.F90

Subtracts the content of two ".plt" files and generates another ".plt" file with the result. It also gives some statistics of the comparison of the input files.

To run, just type compareplt320.exe

Then, supply the names of the ".plt" files to be compared.

Grids of two files must be equal. Otherwise, it will issue an error message.

Output goes to standard output.

compareplt320.F90

Compares the content of two ".plt" files. Gives some statistics of the comparison. Intended for accuracy tests.

To run, just type

compareplt320.exe

Then, supply the names of the ".plt" files to be compared.

Grids of two files must be equal. Otherwise, it will issue an error message.

Output goes to standard output.

dmat_GAUSSIAN_to_DAM.F90

Transforms the density matrix from GAUSSIAN order of the angular functions to DAM order.

input: nshells: integer with the number of shells in the basis set (each shell corresponds to a set of basis functions differing only in the "m" quantum number (i.e., l = 1 implies three P functions; l = 2, five D functions; and so forth lshell: array of dimension nshells with the l quantum number of each shell (in the same order as occurring in the basis set) dmatGAUSS: lower triangle of the density matrix as given by GAUSSIAN output: dmatDAM: lower triangle of density matrix in DAM order (canonical order of spherical hemonics)

INTERFACES

GAUSS_interface.cpp

Interface for generating DAM input files with geometry and basis set (.ggbs) and density matrix (.den) from from Gaussian(C) .fchk file.

IMPORTANT: Calculations must be carried out with spherical basis sets (Not Cartesian). This is achieved by including in the Gaussian input file the option 5D,7F.

When called without arguments (by just typing GAUSS_interface) the program asks for the name of the ".fchk" file to be processed (without the expansion .fchk) and the SCF density matrix will be read.

When called with one argument, the argument must be the name of the .fchk file to be processed. The SCF density matrix will be read.

When called with two arguments, the first one must be the name of the ".fchk" file to be processed, and the second will be used to select the density matrix to be used, accrding to the following choices:

0 : checks for the density matrices available in the .fchk file. Prints the list of existing density files to outputfile (named GAUSS-'filename'.out, where 'filename' stands for the name of the .fchk file.

1 : takes the SCF density matrix 2 : takes the SCF spin-density matrix 3 : takes the CI density matrix 4 : takes the CI spin density matrix 5 : takes the MP2 electron density 6 : takes the MP2 spin density

MOLPRO_interface.cpp

Interface for generating DAM input files with geometry and basis set (.ggbs) and density matrix (.den) from MOLPRO output *.out files.

The interface must be run without arguments. It will ask for the name of the .out file. DAM files .ggbs and .den will be built with the same name as that of the .out file.

In order to generate a suitable input for DAM, basis set and density matrix must be written in MOLPRO's output file. The following code in MOLPRO's input file does the job:

... gprint,basis ... {matrop load,d,den print,d} ...

WARNING! Beware that the bug 4126 has been fixed in your MOLPRO code. Otherwise, patch MOLPRO's file src/argos/arinp.F file with the file "arinp.F.diff" included in the package. This bug may yield wrong results when DAM320 is run with MOLPRO symmetry adapted functions.

MOLEKEL_interface.cpp

Interface for generating DAM input files with geometry and basis set (.ggbs) and density matrix (.den) from from MOLEKEL .mkl file.

The interface must be run without arguments. It will ask for the name of the .mkl file. DAM files .ggbs and .den will be built with the same name as that of the .mkl file.

TURBOMOLE_interface.cpp

Interface for generating DAM input files with geometry and basis set (.ggbs) and density matrix (.den) from from TURBOMOLE basis, coords and mos (or alpha and beta) files.

Molecular orbitals in file mos must be expressed in the original basis set, not in symmetry-adapted functions.

Mopac_aux_interface.cpp

Interface for generating DAM input files with geometry and basis set (".ggbs") and density matrix (".den") from MOPAC ".aux" file.

NWChem_interface.cpp

To make the interface accesible by just clicking on the outputfile, it is necessary to set the output file extension as ".nwcout".

For the interface to work, the mov2asc executable must be available in directory $NWCHEM TOP/contrib/ where $NWCHEM TOP stands for the NWCHEM home directory.

BIBLIOGRAPHY

(1) Analysis of the molecular density Fernández Rico, J.; López, R.; Ramírez, G. J Chem Phys 1999, 110, 4213-4220.

(2) Density and Binding Forces in Diatomics Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. J Chem Phys 2002, 116, 1788-1799.

(3) Analysis of the molecular density: STO densities Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. J Chem Phys 2002, 117, 533-540.

(4) Density and binding forces: Rotational barrier of ethane Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. J Chem Phys 2003, 119, 12251-12256.

(5) Analytical method for the representation of atoms-in-molecules densities Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G.; Ludeña, E. V. J Comput Chem 2004, 25, 1355-1363.

(6) Electrostatic potentials and fields from density expansions of deformed atoms in molecules Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. J Comput Chem 2004, 25, 1347-1354.

(7) Chemical notions from the Electron density Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. J Chem Theory Comput 2005, 1, 1083-1095

(8) Deformed atoms in molecules: analytical representation of atomic densities for Gaussian type orbitals Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. J Mol Struct (Theochem) 2005, 727, 115-121

(9) Chemical forces in terms of the electron density Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. Theor Chem Account 2007, 118, 709-721

(10) DAMQT: A package for the analysis of electron density in molecules López, R.; Fernández Rico, J.; Ramírez, G.; Ema, I., Zorrilla, D. Comput. Phys. Commun. 2009, 180, 1654–1660

(11) Translation of real solid spherical harmonics Fernández Rico, J.; López, R.; Ema, I.; Ramírez, G. International J Quantum Chem, 2013, 113, 1544–1548

(12) Improved partition-expansion of two-center distributions involving Slater functions López, R.; Ramírez, G.; Ema, I.; Fernández Rico, J. J Comput Chem, 2013, 34, 1800–1809

(13) Multipole moments from the partition-expansion method López, R.; Ramírez, G.; Fernández Rico, J.; Ema, I. Theoret. Chem. Acc., 2013, 132, 1406

(14) DAMQT 2.0: A new version of the DAMQT package for the analysis of electron density in molecules López, R.; Fernández Rico, J.; Ramírez, G.; Ema, I., Zorrilla, D. Comput. Phys. Commun. 2015, 192, 289-294

(15) DAMQT 2.1.0: A New Version of the DAMQT Package Enabled with the Topographical Analysis of Electron Density and Electrostatic Potential in Molecules Kumar, A.; Yeole, S.; Gadre, S.; López, R.; Fernández Rico, J.; Ramírez, G.; Ema, I., Zorrilla, D. J Comput Chem, 2015, 36, 2350-2359

(16) Topology of molecular electron density and electrostatic potential with DAMQT López, R.; Fernández Rico, J.; Ramírez, G.; Ema, I., Zorrilla, D.; Kumar, A.; Yeole, S.; Gadre, S. Comput. Phys. Commun. 2017, 214, 2207-215

(17) Efficient Algorithm for Expanding Theoretical Electron Densities in Canterakis- Zernike Functions Urquiza-Carvalho, G.; Rocha, G.; López, R J Comput Chem, 2018, DOI 10.1002/jcc.25376

(18) Efficient Evaluation of Molecular Electrostatic Potential in Large Systems R. López, F. Martínez, I. Ema, J.M. García de la Vega, G. Ramírez Computation, 7, 64, 2019, doi: 10.3390/computation7040064

(19) Molecular fingerprints based on Jacobi expansions of electron densities Rafael López, Frank Martínez, José Manuel García de la Vega Theoretical Chemistry Accounts (2021) 140:18, doi: 10.1007/s00214-020-02708-7

CREDITS

gOpenMol: Copyright 1997-2005 Leif Laaksonen (gopenmol@csc.fi) http://www.csc.fi/gopenmol/index.phtml

gnuplot: Copyright(C) 1986 - 1993, 1998 - 2002 Thomas Williams, Colin Kelley and many others

Qt: is property of The Qt Company (Espoo, Finland) www.qt.io

Dr. George Benthien, Fortran character string utilities and math evaluation module (https://gbenthien.net/strings/index.html)

Raghavendra Chandrashekara, implementation of marching cubes algorithm based on source code provided by Paul Bourke and Cory Gene Bloyd.

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