A novel approach connecting the intuitive idea of chemical bond with a quantum mechanical description is developed. Starting from a previous analysis based on SCF pair densities, a study of the electron-pair fluctuation is performed. The method requires the knowledge of the correlated pair density, and the minimization of bond fluctuations was done through a Jacobi elementary rotation scheme. A parallelism between pair fluctuation and bond breaking is found when fluctuations over the bond distance are studied. An abrupt change of fluctuation around a critical value of distance is found, precluding the possible association of bond breaking with a sharp rather than a smooth process. The results also confirm the importance of the electron-pairing Lewis model.
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