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In recent years, many chemical reactions have been studied by means of thequasi-classical trajectory (QCT) method within the Gaussian binning (GB)procedure. The latter consists in "quantizing" the final vibrational actions inBohr spirit by putting strong emphasis on the trajectories reaching theproducts with vibrational actions close to integer values. A major drawback ofthis procedure is that if N is the number of product vibrational modes, theamount of trajectories necessary to converge the calculations is ~ 10^N largerthan with the standard QCT method. Applying it to polyatomic processes is thusproblematic. In a recent paper, however, Czako and Bowman propose to quantizethe total vibrational energy instead of the vibrational actions [G. Czako andJ. M. Bowman, J. Chem. Phys., 131, 244302 (2009)], a procedure called 1GB here.The calculations are then only ~ 10 times more time-consuming than with thestandard QCT method, allowing thereby for considerable numerical saving. Inthis paper, we propose some theoretical arguments supporting the 1GB procedureand check its validity on model test cases as well as the prototype four-atomreaction OH+D_2 -> HOD+D.

The method of Gaussian weighted trajectories. V. On the 1GB procedure for polyatomic processes