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Note that the exchange conventional gauge is used. Besides, it is also assumed that the inhomogeneity of the Laplacian near a BCP will only have a small impact on the energy densities variations. As, from the best of our knowledge, the role of the higher density derivatives (∇n4 ρ ) are unknown at least for correlation, it is anyway not possible to go behind this order; moreover, Eq. is rigorously valid only in the high density limit, see, PRBMDO 0163-1829, () 10.1103/PhysRevB.33.943;, Phys. Rev. B PRBMDO 0163-1829 76, 125112 (2007) 10.1103/PhysRevB.76.125112; however, we will use it for every density regime, as done for instance by, J. Chem. Phys. JCPSA6 0021-9606 128, 184109 (2008). 10.1063/1.2912068
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Note that the exchange conventional gauge is used. Besides, it is also assumed that the inhomogeneity of the Laplacian near a BCP will only have a small impact on the energy densities variations. As, from the best of our knowledge, the role of the higher density derivatives (∇n4 ρ ) are unknown at least for correlation, it is anyway not possible to go behind this order; moreover, Eq. is rigorously valid only in the high density limit, see C. D. Hu and D. C. Langreth, Phys. Rev. B PRBMDO 0163-1829 33, 943 (1986) 10.1103/PhysRevB.33.943; T. Thonhauser, V. R. Cooper, S. Li, A. Puzder, P. Hyldgaard, and D. C. Langreth, Phys. Rev. B PRBMDO 0163-1829 76, 125112 (2007) 10.1103/PhysRevB.76.125112; however, we will use it for every density regime, as done for instance by Y. Zhao and D. G. Truhlar, J. Chem. Phys. JCPSA6 0021-9606 128, 184109 (2008). 10.1063/1.2912068
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31++G (d,p) Pople basis set and the metals by the Wachters+f one (Ref.). The topological analysis has been carried out with the MORPHY98 software (Refs.).
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++G (d,p) Pople basis set and the metals by the Wachters+f one (Ref.). The topological analysis has been carried out with the MORPHY98 software (Refs.).
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3 is lost, but is not relevant for our purpose. The ellipticity (which only focuses on the plane that is orthogonal to the bond path) would constitute an alternative. For the H bonds in Ref., it lies in the [0.005-1.394] range, whereas the one for the agostic bonds in Ref. is [0.703,1.534], so that overlaexists; thus ellipticity cannot be discriminative.
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3 is lost, but is not relevant for our purpose. The ellipticity (which only focuses on the plane that is orthogonal to the bond path) would constitute an alternative. For the H bonds in Ref., it lies in the [0.005-1.394] range, whereas the one for the agostic bonds in Ref. is [0.703,1.534], so that overlap exists; thus ellipticity cannot be discriminative.
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