spgrep-modulation

spgrep-modulation is a Python package for collective atomic modulation analysis using irreducible space-group representations. It enables systematic study of structural phase transitions, phonon instabilities, and order parameter analysi…

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Overview

spgrep-modulation is a Python package for collective atomic modulation analysis using irreducible space-group representations. It enables systematic study of structural phase transitions, phonon instabilities, and order parameter analysis through group-theoretical methods integrated with phonopy.

Reference Papers

Reference papers are not yet linked for this code.

Full Documentation

Official Resources

  • Homepage: https://phonopy.github.io/spgrep-modulation/
  • GitHub: https://github.com/phonopy/spgrep-modulation
  • Documentation: https://phonopy.github.io/spgrep-modulation/
  • PyPI: https://pypi.org/project/spgrep-modulation/
  • License: BSD 3-Clause License

Overview

spgrep-modulation is a Python package for collective atomic modulation analysis using irreducible space-group representations. It enables systematic study of structural phase transitions, phonon instabilities, and order parameter analysis through group-theoretical methods integrated with phonopy.

Scientific domain: Structural phase transitions, phonon symmetry, order parameter analysis Target user community: Researchers studying phase transitions, ferroelectrics, and structural instabilities

Theoretical Methods

  • Irreducible representation-based modulation analysis
  • Order parameter direction determination
  • Isotropy subgroup computation
  • Phonon mode symmetry classification
  • Landau theory connection

Capabilities (CRITICAL)

  • Irrep-based Analysis: Phonon modes classified by irreps
  • Modulated Structures: Generate distorted structures
  • Isotropy Subgroups: Symmetry breaking analysis
  • Order Parameters: Direction specification
  • Phonopy Integration: Works with phonopy workflows
  • spgrep Backend: Uses spgrep for irreps

Sources: spgrep-modulation documentation, phonopy ecosystem

Key Strengths

Phonopy Ecosystem:

  • Seamless phonopy integration
  • Consistent with phonopy conventions
  • Leverages phonopy infrastructure
  • Combined workflow support

Systematic Analysis:

  • Automatic isotropy subgroup finding
  • Order parameter enumeration
  • Modulated structure generation
  • Group-subgroup relations

Modern Python:

  • Clean API
  • Well-documented
  • NumPy-based
  • Jupyter compatible

Inputs & Outputs

  • Input formats:

    • Phonopy objects
    • Crystal structures
    • Phonon eigenvectors
  • Output data types:

    • Modulated structures
    • Isotropy subgroups
    • Order parameter directions
    • Symmetry analysis

Installation

pip install spgrep-modulation

Usage Examples

from pathlib import Path
import phonopy
from phonopy.structure.symmetry import Symmetry
from spgrep_modulation import Modulation

# Load phonopy calculation
ph = phonopy.load("phonopy_disp.yaml")

# Create modulation analysis
mod = Modulation.with_Sr_number(
    ph.primitive,
    ph.dynamical_matrix,
    qpoint=[0.5, 0.5, 0],
    irrep_index=0
)

# Generate modulated structure
modulated = mod.get_modulated_structure(amplitude=0.1)

Performance Characteristics

  • Speed: Fast symmetry analysis
  • Integration: Efficient phonopy interface
  • Flexibility: Arbitrary q-points supported

Limitations & Known Constraints

  • Phonopy dependency: Requires phonopy installation
  • Harmonic phonons: Based on harmonic approximation
  • Documentation: Evolving documentation

Comparison with Other Tools

  • vs ISOTROPY: spgrep-modulation Python-native
  • vs phonopy: spgrep-modulation adds irrep analysis
  • vs AMPLIMODES: Different approach to mode analysis
  • Unique strength: Python integration with phonopy/spgrep

Application Areas

  • Ferroelectric phase transitions
  • Structural instabilities
  • Soft mode analysis
  • Perovskite distortions
  • Order-disorder transitions

Best Practices

  • Ensure phonopy calculation is converged
  • Use appropriate q-point mesh
  • Verify irrep assignments
  • Check modulation amplitudes physically

Community and Support

  • GitHub issue tracker
  • Part of phonopy ecosystem
  • Active development

Verification & Sources

Primary sources:

  1. GitHub: https://github.com/phonopy/spgrep-modulation
  2. Documentation: https://phonopy.github.io/spgrep-modulation/

Confidence: VERIFIED

Verification status: ✅ VERIFIED

  • Official homepage: ACCESSIBLE
  • Documentation: AVAILABLE
  • Source code: OPEN (GitHub, BSD-3)
  • Developer: phonopy team
  • Active development: Maintained

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