PyDFT

PyDFT is a pure-Python package for performing localized-orbital DFT calculations using Gaussian Type Orbitals (GTOs). Designed primarily for educational purposes, it provides insights into the inner workings of DFT calculations while rem…

1. GROUND-STATE DFT 1.3 Localized Basis Sets VERIFIED
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Overview

PyDFT is a pure-Python package for performing localized-orbital DFT calculations using Gaussian Type Orbitals (GTOs). Designed primarily for educational purposes, it provides insights into the inner workings of DFT calculations while remaining a fully functional DFT code for small molecular systems.

Reference Papers

Reference papers are not yet linked for this code.

Full Documentation

Official Resources

  • Homepage: https://pydft.ivofilot.nl/
  • Documentation: https://pydft.readthedocs.io/
  • Source Repository: https://github.com/ifilot/pydft
  • PyPI: https://pypi.org/project/pydft/
  • License: MIT License

Overview

PyDFT is a pure-Python package for performing localized-orbital DFT calculations using Gaussian Type Orbitals (GTOs). Designed primarily for educational purposes, it provides insights into the inner workings of DFT calculations while remaining a fully functional DFT code for small molecular systems.

Scientific domain: Molecules, educational quantum chemistry
Target user community: Students, educators, and researchers seeking to understand DFT implementation details

Theoretical Methods

  • Density Functional Theory (DFT)
  • Gaussian Type Orbitals (GTOs)
  • Local Density Approximation (LDA)
  • Generalized Gradient Approximation (PBE)
  • Becke numerical integration grids
  • Self-consistent field (SCF)
  • Kohn-Sham formulation

Capabilities (CRITICAL)

  • Ground-state molecular DFT
  • LDA and PBE functionals
  • Total energy calculations
  • Orbital energies
  • Electron density evaluation
  • Molecular orbital visualization
  • Becke grid integration
  • Matrix element exposure
  • Educational transparency

Sources: GitHub repository, PyPI, Documentation

Key Strengths

Educational Design:

  • Pure Python implementation
  • Transparent algorithms
  • Exposed internal matrices
  • Step-by-step understanding
  • Teaching-oriented documentation

Visualization Support:

  • Matplotlib integration
  • Molecular orbital plotting
  • Density field visualization
  • Jupyter notebook compatible

Accessibility:

  • pip/conda installable
  • Minimal dependencies
  • Cross-platform
  • Python 3 compatible

PyQInt Integration:

  • Hartree-Fock companion package
  • Shared integral library
  • Orbital localization features

Inputs & Outputs

  • Input formats:

    • Python API
    • Molecular geometry specification
    • Basis set selection
  • Output data types:

    • Total energies
    • Orbital energies
    • Density matrices
    • Overlap matrices
    • Hamiltonian matrices

Interfaces & Ecosystem

  • Python ecosystem:

    • NumPy/SciPy based
    • Matplotlib for visualization
    • Jupyter notebook support
  • Related packages:

    • PyQInt (integral evaluation)
    • pyPES (potential energy surfaces)

Advanced Features

Matrix Exposure:

  • Access to overlap matrix (S)
  • Access to Hamiltonian matrix (H)
  • Density matrix available
  • Fock matrix construction visible

Integration Grids:

  • Becke partitioning
  • Atom-centered grids
  • Adjustable grid quality
  • Numerical accuracy control

Functional Implementation:

  • LDA Slater exchange
  • VWN correlation
  • PBE exchange-correlation
  • Extensible functional framework

Performance Characteristics

  • Speed: Educational, not optimized
  • Accuracy: Standard DFT for small molecules
  • System size: Small molecules (< 10-20 atoms)
  • Memory: Python/NumPy requirements
  • Parallelization: Single-threaded

Computational Cost

  • Focus: Understanding, not speed
  • Typical: Seconds to minutes for small molecules
  • Purpose: Teaching and prototyping

Limitations & Known Constraints

  • System size: Small molecules only
  • Speed: Not production-optimized
  • Periodicity: Molecular only
  • Functionals: Limited selection
  • Gradients: Limited geometry optimization
  • Production use: Not intended

Comparison with Other Codes

  • vs PySCF: PyDFT educational, PySCF production
  • vs Psi4: PyDFT simpler, more transparent
  • vs Gaussian: PyDFT open, teaching-focused
  • Unique strength: Educational transparency, pure Python

Application Areas

Education:

  • Undergraduate quantum chemistry courses
  • Graduate DFT courses
  • Self-study of DFT
  • Algorithm understanding

Research Prototyping:

  • Testing new ideas
  • Algorithm development
  • Method validation
  • Quick calculations

Visualization:

  • Orbital demonstrations
  • Density illustrations
  • Teaching materials
  • Presentation graphics

Best Practices

Educational Use:

  • Step through code with debugger
  • Examine intermediate matrices
  • Compare with analytical derivations
  • Use small test systems

Jupyter Integration:

  • Interactive exploration
  • Visualization inline
  • Documented calculations
  • Shareable notebooks

Community and Support

  • Open source MIT license
  • GitHub repository
  • Documentation website
  • PyPI distribution
  • Active maintenance

Verification & Sources

Primary sources:

  1. GitHub: https://github.com/ifilot/pydft
  2. PyPI: https://pypi.org/project/pydft/
  3. Documentation: https://pydft.readthedocs.io/
  4. I. Filot (TU Eindhoven)

Confidence: VERIFIED - Active package on PyPI

Verification status: ✅ VERIFIED

  • Source code: OPEN (GitHub, MIT)
  • Package distribution: PyPI
  • Documentation: ReadTheDocs
  • Active development: Recent updates
  • Specialty: Educational DFT, pure Python, transparent implementation

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