## Calculation of the vibrational frequencies of ethyleneRonald Wayne Goin, National Reactor Testing Station, Idaho (U.S.), Phillips Petroleum Company. Atomic Energy Division, U.S. Atomic Energy Commission U.S. Atomic Energy Commission, Idaho Operations Office, 1962 - Cross section fluctuations (Nuclear physics) - 31 pages |

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### Contents

DISCUSSION OF THE PROBLEM | 3 |

KINETIC ENERGY | 14 |

CALCULATIONAL PROCEDURE | 20 |

Copyright | |

1 other sections not shown

### Common terms and phrases

angle defining APPENDIX atomic mass units AXES FOR ETHYLENE b2 a2 o o basis vectors bond distances bond length bond stretching CDg group center of mass changes in bond choosing the coordinate coordinate axes COORDINATE DISPLACEMENT PATTERNS coordinate system coupling between intragroup cross product differential cross section equations of motion Error B Error FORCE CONSTANT MATRIX frequencies calculated FREQUENCIES OF ETHYLENE H angle H bond H distance hydrocarbons interbond angles intragroup and skeletal intragroup coordinates INTRAGROUP SYMMETRY COORDINATE intragroup vibrations inversion irreducible representation isolated CHg kHI2 kHI4 kHI3 kinetic energy Large Molecules MATRIX FOR ETHYLENE matrix form McMurry molecule NORMAL COORDINATES NORMAL FREQUENCIES obtained potential energy quencies R. W. Goin r°AX reflection rotational and translational secular equation skeletal frequencies SKELETAL MODES BELONGING skeletal motions SKELETAL SYMMETRY COORDINATE SYMMETRY COORDINATE DISPLACEMENT symmetry point group TABLE VI NORMAL tions trans Vibrational Frequencies X-Y plane Y-Z plane Z-X plane