THE VIBRATIONAL CONSTANTS OF ACETYLENE

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Abstract
On the basis of the work done by Darling and Dennison on the water vapor molecule, the vibrational constants of acetylene are calculated, taking into account the resonance interaction arising from the near equality of the fundamentals ν1 and ν3. Seventeen band centers are known experimentally. The band centers depend on the 10 constants χi, χik and γ which are functions of the potential constants. The expressions for the vibrational energies of the band centers are set up, those for interacting doublets or triplets being found by perturbation methods. The 10 constants are determined and the positions of eight bands calculated to check the results. The agreement is very satisfactory. The positions of 10 other bands not yet observed are predicted.

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