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1
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10844236701
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note
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Note that here and for the rest of this paper, n is the number of electrons in the system and N is the size of the atomic orbital basis chosen by the computational chemist.
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3
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10844225586
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note
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As was pointed out to us, credit for the "Boys" Orbitals should actually be attributed both to Edmiston and Ruedenberg, as well as Foster and Boys. Foster and Boys suggested in 1960 (Ref. 3) the criteria of maximizing the (nonlinear) product of the distances between orbital centroids, while Edmiston and Ruedenberg improved on this criteria in 1963 (Ref. 4), proposing to maximize the (linear) sum of the distances between orbital centroids. The latter definition is the criteria used today for "Boys" Orbitals, see Eq. (1). Furthermore, Edmiston and Ruedenberg were the first to suggest a formal technique for computing these Orbitals exactly (rather than approximately, as Foster and Boys had proposed).
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5
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0002999684
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edited by P. O. Lowdin Academic, New York
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S. F. Boys, Quantum Theory of Atoms, Molecules and the Solid State, edited by P. O. Lowdin (Academic, New York, 1966), pp. 253.
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(1966)
Quantum Theory of Atoms, Molecules and the Solid State
, pp. 253
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Boys, S.F.1
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10
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0001587957
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G. Berghold, C. J. Mundy, A. H. Romero, J. Hutter, and M. Parrinello, Phys. Rev. B 61, 10040 (2000).
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Phys. Rev. B
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Berghold, G.1
Mundy, C.J.2
Romero, A.H.3
Hutter, J.4
Parrinello, M.5
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11
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84860073782
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injn i1i2⋯in j1j2⋯jn
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injn i1i2⋯in j1j2⋯jn
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16
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0011961786
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D. A. Kleier, T. A. Halgren, J. H. Hall, Jr., and W. N. Lipscomb, J. Chem. Phys. 61, 3905 (1974).
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Kleier, D.A.1
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Hall Jr., J.H.3
Lipscomb, W.N.4
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18
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84860072185
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See EPAPS Document No. E-JCPSA6-121-306438 ftp.aip.org in the directory //epaps. See the EPAPS homepage for more information
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6). A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory //epaps. See the EPAPS homepage for more information.
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0037166122
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W. Liang, Y. Shao, C. Ochsenfeld, A. T. Bell, and M. Head-Gordon, Chem. Phys. Lett. 358, 43 (2002).
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Liang, W.1
Shao, Y.2
Ochsenfeld, C.3
Bell, A.T.4
Head-Gordon, M.5
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22
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0242600584
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P. M. Esteves, J. W. W. Cameiro, S. P. Cardoso, A. G. H. Barbosa, K. K. Laali, G. Rasul, G. K. S. Prakash, and G. A. Olah, J. Am. Chem. Soc. 125, 4836 (2003).
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J. Am. Chem. Soc.
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Esteves, P.M.1
Cameiro, J.W.W.2
Cardoso, S.P.3
Barbosa, A.G.H.4
Laali, K.K.5
Rasul, G.6
Prakash, G.K.S.7
Olah, G.A.8
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23
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0037454319
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S. R. Gwaltney, S. V. Rosokha, M. Head-Gordon, and J. K. Kochi, J. Am. Chem. Soc. 125, 3273 (2003).
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Gwaltney, S.R.1
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Kochi, J.K.4
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24
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10844225585
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note
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We note that the geometries of both Figs. 2(a) and 3(a) are saddle points of the B3LYP functional, rather than minima.
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25
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10844234269
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The geometry of Fig. 4 corresponds to structure 7 in the paper by Olah et al
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The geometry of Fig. 4 corresponds to structure 7 in the paper by Olah et al.
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27
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0035478776
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M. L. Leininger, C. D. Sherrill, W. D. Allen, and H. F. Schaefer, III. J. Comp. Chem. 22, 1574 (2001).
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Leininger, M.L.1
Sherrill, C.D.2
Allen, W.D.3
Schaefer III, H.F.4
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