## Splitting of terms in crystals: Complete English translation |

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### Contents

Inttoduction | 1 |

CubicHolohedral Symmetry e g NaCl Ca in Cap | 8 |

DoubleValued Representations of the Hexagonal and Cubic Symmetry Groups | 19 |

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### Common terms and phrases

accordingly arbitrary azimuthal quantum number calculation characters classes closed shells correspond crystal atom crystal group crystal splitting crystal terms cubic symmetry dimensional Ehlert eigen eigenf unctions eigenfunctions belonging eigenvalue electron density expansion coefficients face diagonals field of definite free atom functions gonal group contains hemihedral symmetry group hexagonal rotation group holohedral symmetry individual electron integrals interaction interchange inversion irreducible components irreducible representations lattice spacing linear combinations multiplication NaCl type negative nucleus obtain octahedral group orbit radius orbital angular momentum order of magnitude orientation perturbation theory plane principal quantum number pure rotations quantum cells reducible regular representation repre representation properties sentation simple group spherical harmonics spherical rotation group spin Splitting pattern Stark-effect splitting strong crystalline field subshell symmetry operations TABLE term splitting term value terms belong tetragonal axis tetragonal symmetry three-fold term tion transform two-fold degenerate unperturbed atom vanish Wigner zeroth approximation zeroth-order eigenfunctions Ztschr