## Introduction to the Theory of Thermal Neutron ScatteringSince the advent of the nuclear reactor, thermal neutron scattering has proved a valuable tool for studying many properties of solids and liquids, and research workers are active in the field at reactor centres and universities throughout the world. This classic text provides the basic quantum theory of thermal neutron scattering and applies the concepts to scattering by crystals, liquids and magnetic systems. Other topics discussed are the relation of the scattering to correlation functions in the scattering system, the dynamical theory of scattering and polarisation analysis. No previous knowledge of the theory of thermal neutron scattering is assumed, but basic knowledge of quantum mechanics and solid state physics is required. The book is intended for experimenters rather than theoreticians, and the discussion is kept as informal as possible. A number of examples, with worked solutions, are included as an aid to the understanding of the text. |

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This is a great book for any student developing high energy modulations of any type. I look forward to developing electronics with the knowledge that I have gained from this book, it is a great read. I would also like to say that this book provides a great foundation for maintaining proton fields.

### Contents

Nuclear scattering basic theory | 10 |

Nuclear scattering by crystals | 25 |

Scattering by liquids | 86 |

Neutron optics | 110 |

Magnetic scattering basic theory | 129 |

Scattering from magnetically ordered crystals | 146 |

Polarisation analysis | 171 |

EQ11l1iU3UlI1 | 194 |

Solutions to examples | 231 |

Glossary of symbols | 247 |

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### Common terms and phrases

angle antiferromagnet Appendix atoms axis beam Bragg peak Bragg reﬂection Bragg scattering Bravais crystal Brillouin zone calculate coherent elastic coherent one-phonon commute component Consider constant corresponding curve deﬁned deﬁnition density dispersion relation displacement eigenfunctions eigenvalues elastic cross-section elastic scattering energy equation exp(—iwt exp(iK expression ferromagnet ﬁnal ﬁrst ﬁxed ﬂipper Fourier transform frequency Gaussian given gives Hamiltonian incident neutrons incoherent scattering inelastic integrating with respect interaction ions isotope known liquid magnetic ﬁeld magnetic scattering magnetisation matrix element measurements neutrons scattered normal modes normalised nuclear and magnetic nuclear scattering nuclear spin obtained one-phonon scattering orbital particle perfect gas perpendicular phonon plane position potential quantity quantum mechanics quantum number reciprocal lattice satisﬁed scattered neutrons scattering function scattering length scattering system shown in Fig spin wave spin-ﬂip spin-state static approximation temperature term theory thermal average thermal neutrons unit cell velocity wavelength wavevector zero