### Abstract

The Waller-Hartree theory for the incoherent Compton scattering of x-rays is extended to include the effects fo the inherent nonsphericity of atomic charge distributions. The dependence of the scattering on atomic orientation is treated by a general formalism which depends on the use of the matrix elements of a unitary representation of the group of three-dimensional rotations. Application is made to derive the one-electron scattering matrix elements from atoms with s, p, and d electrons. It is shown that by a proper averaging over all orientations of the scattering vector, "mean" scattering formulas result which may be used directly for predicting the scattering from monatomic gases.

Original language | English |
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Pages (from-to) | 169-175 |

Number of pages | 7 |

Journal | Physical Review |

Volume | 113 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1959 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Compton scattering of x-rays from nonspherical charge distributions.** / Freeman, Arthur J.

Research output: Contribution to journal › Article

*Physical Review*, vol. 113, no. 1, pp. 169-175. https://doi.org/10.1103/PhysRev.113.169

}

TY - JOUR

T1 - Compton scattering of x-rays from nonspherical charge distributions

AU - Freeman, Arthur J

PY - 1959

Y1 - 1959

N2 - The Waller-Hartree theory for the incoherent Compton scattering of x-rays is extended to include the effects fo the inherent nonsphericity of atomic charge distributions. The dependence of the scattering on atomic orientation is treated by a general formalism which depends on the use of the matrix elements of a unitary representation of the group of three-dimensional rotations. Application is made to derive the one-electron scattering matrix elements from atoms with s, p, and d electrons. It is shown that by a proper averaging over all orientations of the scattering vector, "mean" scattering formulas result which may be used directly for predicting the scattering from monatomic gases.

AB - The Waller-Hartree theory for the incoherent Compton scattering of x-rays is extended to include the effects fo the inherent nonsphericity of atomic charge distributions. The dependence of the scattering on atomic orientation is treated by a general formalism which depends on the use of the matrix elements of a unitary representation of the group of three-dimensional rotations. Application is made to derive the one-electron scattering matrix elements from atoms with s, p, and d electrons. It is shown that by a proper averaging over all orientations of the scattering vector, "mean" scattering formulas result which may be used directly for predicting the scattering from monatomic gases.

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U2 - 10.1103/PhysRev.113.169

DO - 10.1103/PhysRev.113.169

M3 - Article

VL - 113

SP - 169

EP - 175

JO - Physical Review

JF - Physical Review

SN - 0031-899X

IS - 1

ER -