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+, is accompanied by a significant low-field shift of the Sn resonance. For the basic theory, see: Ramsey, N. F. Phys. Rev. 1950, 78, 699.
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+, is accompanied by a significant low-field shift of the Sn resonance. For the basic theory, see: Ramsey, N. F. Phys. Rev. 1950, 78, 699.
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All computations were done using: Frisch, M. J.; et al. Gaussian 03, Revision C.02; Gaussian Inc.: Pittsburgh, PA, 2003.
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All computations were done using: Frisch, M. J.; et al. Gaussian 03, Revision C.02; Gaussian Inc.: Pittsburgh, PA, 2003.
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54249110089
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The topological analysis of the charge density was done with the AIM 2000 program: (a) Biegler-König, F.; Schönbohm, J.; Bayles, D. J. Comput. Chem. 2001, 22, 545. For a monograph on the methodology, see:
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The topological analysis of the charge density was done with the AIM 2000 program: (a) Biegler-König, F.; Schönbohm, J.; Bayles, D. J. Comput. Chem. 2001, 22, 545. For a monograph on the methodology, see:
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36
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54249144849
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Chemical bonds between a pair of atoms can be identified by (3,-1) critical points (the so-called bond critical points, bcp) of the charge density. At such bcp's the gradient vector of p(r) vanishes and the Hessian matrix of ρ(r) at bcp has three nonvanishing eigenvalues, two of which are negative. The positive eigenvalue is associated with the bond path itself along which the charge density ρ(r) reaches a minimum at the bcp.
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Chemical bonds between a pair of atoms can be identified by (3,-1) critical points (the so-called bond critical points, bcp) of the charge density. At such bcp's the gradient vector of p(r) vanishes and the Hessian matrix of ρ(r) at bcp has three nonvanishing eigenvalues, two of which are negative. The positive eigenvalue is associated with the bond path itself along which the charge density ρ(r) reaches a minimum at the bcp.
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54249149152
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For further comparison the properties of the bond critical points of the CC bonds in ethane, ethene, benzene, and ethyne are given. Ethane: p, 0.25062 e bohr-3; ∇2ρ, 0.166626 e bohr-5; ε, 0. Benzene: ρ, 0.31534 e bohr-3; ∇2ρ, 0.243182 e bohr-5; e, 0.23491. Ethene: ρ, 0.34518 e bohr-3; ∇2ρ, 0.274364 e bohr-3; ε, 0.41863. Ethyne: ρ, 0.39543 e bohr -3; ∇2ρ, 0.285338 e bohr-5; ε, 0
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38
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54249084188
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b,)- B)}. Using HF/6-311G(d,p)//MP2/6-311G(d,p) wave functions for ethane, ethene, benzene, and ethyne, a least-squares fit to bond orders of 1, 2, 1.5, and 3 yields A = 7.56716 and B = 1.90631 for C-C bonds.
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b,)- B)}. Using HF/6-311G(d,p)//MP2/6-311G(d,p) wave functions for ethane, ethene, benzene, and ethyne, a least-squares fit to bond orders of 1, 2, 1.5, and 3 yields A = 7.56716 and B = 1.90631 for C-C bonds.
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