Tools

Coming soon

Three browser-based tools are in preparation alongside a manuscript in progress:

• sphtensor — the symmetry-allowed components of an arbitrary property tensor (SHG χ⁽²⁾, EQ-SHG, and beyond) for any of the 122 magnetic point groups, in both Cartesian and spherical-tensor bases, with or without an applied field.
• Magnetic point groups — reference tables for all 122 groups: character tables of the unitary kernel, real-harmonic irrep assignments with antiunitary ± grading, irrep multiplication, generators and subgroup relations.
• Cubic-harmonic coupling — the exact Clebsch–Gordan decomposition of two cubic harmonics written back in the same basis, l₁, l₂ = 0…6, both parities.

They are not public yet. If you would like to try them before release, email me and I will send you a link at the discretion of myself and my collaborators.