Force Constants and Average Structures of AsF<SUB>3</SUB> and AsCl<SUB>3</SUB> as Determined by Electron Diffraction and Spectroscopy
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The general quadratic potential constants of AsCl<SUB>3</SUB> have been determined by the use of a combination of the mean amplitudes observed by gas electron diffraction and the vibrational frequencies. Those of AsF<SUB>3</SUB> have been determined from the mean amplitudes, the centrifugal distortion constants given by microwave spectroscopy and the Coriolis coupling constants and the vibrational frequencies given by infrared spectroscopy on the basis of the molecular structure newly-determined by electron diffraction. By using these potential constants, zero-point average structures have been derived from the <I>r<SUB>g</SUB></I> structures obtained by electron diffraction. The results have been found to be consistent with the average rotational constants, <I>B<SUB>z</SUB></I>, derived from the effective rotational constants, <I>B</I><SUB>0</SUB>, observed by microwave spectroscopy according to the theory of vibration-rotation interactions. The final results, obtained by the use of a combination of the electron diffraction and microwave data, are:<BR>& r_z(As-Cl)=2.1621±0.0009 Å, θ_z(ClAsCl)=98°38'±22'<BR>& r_z(As-F)=1.7080±0.0004 Å, and θ_z(FAsF)=95°58'±17'. <BR>Formulas for calculating the sum of perpendicular mean amplitudes for pyramidal XY<SUB>3</SUB>-type molecules have been derived and used to reduce <I>r<SUB>g</SUB></I> to <I>r<SUB>z</SUB></I>.
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