The Journal of Chemical Physics · 1967 · 139 citations · 29 references
Natural SciencesChemistryPhysicsSpectroscopic AnalysisSpectroscopyTheoretical ChemistryCarbonyl ChemistryInfrared SpectroscopyMetal-ligand BondingMolecular VibrationVibrational SpectroscopyVibrational StructureBonding In Metal CarbonylsCarbonyl Stretching FrequenciesInfrared Absorption SpectraInfrared SpectraMolecular Force ConstantsNormal Coordinate AnalysisStructure Of Metal Carbonyl ComplexesVibrational Frequencies
A simplified normal coordinate treatment of the CO stretching vibrations is applied to metal carbonyls of various complexity. Infrared data to compute force constants directly are available for the following three groups of compounds: cyclopentadienyl manganese tricarbonyl and its derivatives [CpMn(CO)3−xLx, x=0→2], the substituted nickel carbonyls [Ni(CO)4−xLx, x=1→3], and some molybdenum carbonyl derivatives [sym-Mo(CO)3L3 and cis-Mo(CO)2L4]. When there are more force constants than observable frequencies in a molecule, the assumption is made that the effects of ligands on force constants are additive. In this way, many additional frequencies are obtained while only a few new force constants are introduced. This method has been used on two additional groups of compounds: Fe(CO)5−x(PF3)x and Mn2(CO)10—x(PF3)x. Excellent agreement between calculated and experimentally observed frequencies is found in all five groups of compounds. In some cases the effective force constants obtained may be interpreted as arising from dipole—dipole interaction. The force constants are then used to calculate frequencies for 13C isotopically substituted species and good agreement with experiment is found.
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A. S. Davydov, Harvey Kaplan · American Journal of Physics · 1963 · 1.8K citations
<i>Mathematical Methods for Digital Computers</i>
Anthony Ralston, Herbert S. Wilf, Peter L. Balise · Physics Today · 1961 · 951 citations
F. Albert Cotton, Charles S. Kraihanzel · Journal of the American Chemical Society · 1962 · 908 citations