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extract_ao

01-09-2023

A Python program for extracting atomic orbitals (AOs) of a Gaussian basis set from PySCF program package (https://github.com/pyscf/pyscf). Extracted AOs are decomposed into Cartesian components and stored in internal format as polynomial times Gaussian functions in Cartesian coordinates.

The input of the program is a molecular geometry and any basis set in NWChem format. The output is a numpy array of nbas rows and 9 columns containing parameters l,m,n,a,c,iatm,A of GTO functions centered on the molecular geometry, of the following Cartesian form:

c (x-A_x)^l (y-A_y)^m (z-A_z)^n exp(-a|r-A|^2)

The unit used in the internal format is Bohr (for compatibility with PySCF internal format).

Requirements

numpy, scipy, pyscf, pymp-pypi

How to use

  • Install requirements:

    make install
    
  • Test suite:

    make test
    
  • Get help:

    make help
    
  • Run main functionality:

    make extract_ao
    
  • Run applications:

    make condition
    make get_mo_coeff
    

Features

  • Provides coefficients for transforming Cartesian primitive functions back to the original PySCF basis functions (possibly spherical and/or contracted). This can be useful for expressing the molecular orbital (MO) coefficients computed on the PySCF basis to the internal basis, as in get_mo_coeff.py.
  • Uses the internal basis format for computing custom analytical molecular integrals. As a simple example, the two-center one-electron overlap integral is implemented for the basis set in internal format. The overlap matrix may be used to compute the condition number of the basis in condition.py. A (slow) implementation of the four-center overlap integral is used in ovlp_4c.py.
  • Add new molecules in "system" directory. Required data format: XYZ
  • Add new user-defined atomic orbital basis sets in "basis" directory. Required data format: NWChem Required file extension: .dat

Contact

Ioanna-Maria Lygatsika <[email protected]>