## RACAH

swMATH ID: | 9269 |

Software Authors: | Ross, Hughan J.; McAven, Luke F.; Shinagawa, Kiminari; Butler, Philip H. |

Description: | Calculating spin-orbit matrix elements with RACAH. RACAH is a computer program developed to simplify calculations involving generalized coupling coefficients. As a demonstration of its usefulness in doing this, we apply it to calculating the spin-orbit matrix elements of CrBr 3 . From those matrix elements we can derive the spin-orbit coupling coefficients, vital to discussing Kerr rotation. We base our calculations on a cluster consisting of a Cr 3+ ion, surrounded by six Br - ions in an octahedral configuration. The Racah-Wigner calculus, useful for doing such calculations, is built into RACAH in such a way as to provide a natural approach to choosing between possible group chains. |

Homepage: | http://www.sciencedirect.com/science/article/pii/S0021999196902144 |

Keywords: | spectroscopy; RACAH; computer program; spin-orbit matrix elements; Kerr rotation; Racah-Wigner calculus |

Related Software: | PGSG |

Cited in: | 2 Publications |

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### Cited by 6 Authors

2 | Butler, Philip H. |

2 | McAven, Luke F. |

1 | Chen, Jinquan |

1 | Fan, Peng-Dong |

1 | Ross, Hughan J. |

1 | Shinagawa, Kiminari |

### Cited in 2 Serials

1 | Journal of Computational Physics |

1 | Journal of Mathematical Physics |

### Cited in 3 Fields

2 | Quantum theory (81-XX) |

1 | Group theory and generalizations (20-XX) |

1 | Numerical analysis (65-XX) |