## Rotational Spectra and Molecular Structure: Physical Chemistry: A Series of MonographsPhysical Chemistry, A Series of Monographs: Rotational Spectra and Molecular Structure covers the energy levels and rotational transitions. This book is divided into nine chapters that evaluate the rigid asymmetric top molecules and the nuclear spin statistics for asymmetric tops. Some of the topics covered in the book are the asymmetric rotor functions; rotational transition intensities; classes of molecules; nuclear spin statistics for linear molecules and symmetric tops; and classical appearance of centrifugal and coriolis forces. Other chapters deal with the energy levels and effects of centrifugal distortion, as well as the internuclear distance and moments of inertia. The discussion then shifts to the coriolis coupling effects on rotational constants and the perturbation treatment of vibration-rotational Hamiltonian. The last chapter is devoted to the examination of origin of the quadrupole interaction. The book can provide useful information to chemists, physicists, electrical engineers, students, and researchers. |

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### Contents

1 | |

7 | |

Chapter 3 Centrifugal Distortion Coriolis Coupling and Fermi Resonance | 51 |

Chapter 4 Molecular Structure | 88 |

Chapter 5 Nuclear Quadrupole Coupling | 114 |

Chapter 6 Internal Rotation | 145 |

Chapter 7 Inversion | 203 |

Chapter 8 Stark Effect | 244 |

Derivation of the Inertial Defect | 406 |

Coupling of Angular Momentum Vectors | 409 |

The Van Vleck Transformation | 411 |

Internal Rotation Splittings for the IAM | 414 |

Barriers to Internal Rotation Determined by Microwave Spectroscopy | 416 |

Vanishing of OddOrder Nondegenerate Stark Corrections | 422 |

Mathieus Equation | 423 |

Perturbation Coefficients for the Internal Rotation Problem | 427 |

Chapter 9 Instrumentation | 282 |

References | 318 |

Short Table of Physical Constants Conversion Factors and Waveguide Nomenclature | 392 |

Evaluation of Ek | 393 |

Derivation of the Hamiltonian for Treating the VibrationRotation Interaction Problem | 399 |

Molecular Zeeman Effect | 440 |

Stark Corrections for a Linear Molecule | 447 |

AUTHOR INDEX | 449 |

464 | |

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### Common terms and phrases

ammonia angular momentum asymmetric rotor atoms axis system B. P. Dailey barrier height C. H. Townes calculated centrifugal distortion Chem coefficients coordinates D. R. Lide degeneracy degenerate determined diagonal E. B. Wilson electric field electronic energy levels energy matrix equation first-order fluoride frequency Gordy Hamiltonian harmonic oscillator hyperfine structure infrared Instr internal rotation isotopic substitution klystron l-type doubling linear molecule M. W. P. Strandberg magnetic methyl group methylamine microwave absorption microwave spectroscopy Microwave spectrum millimeter wave modulation molecular structure moments of inertia nuclear quadrupole nuclear spin nuclei off-diagonal out-of-plane perturbation Phys planar polyatomic molecules potential function quantum numbers relative intensities representation resonance rigid rotor rotational constants rotational spectrum rotational transitions second-order selection rules spectra spectrometer spectrum and structure spin functions Stark effect symmetric top symmetric top molecules Table transformation values vanish vector vibration-rotation vibrational wave functions waveguide Zeeman effect