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2
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0024527202
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V. Pavone, E. Benedetti, B. D. Blasio, A. Lombardi, C. Pedone, and G. P. Lorenzi: Biopolymers 28 (1989) 215.
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(1989)
Biopolymers
, vol.28
, pp. 215
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Pavone, V.1
Benedetti, E.2
Blasio, B.D.3
Lombardi, A.4
Pedone, C.5
Lorenzi, G.P.6
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4
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0037187147
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S. B. Suh, C. Cui, H. S. Son, J. S. U, Y. Won, and K. S. Kim: J. Phys. Chem. B 106 (2002) 2061.
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(2002)
J. Phys. Chem. B
, vol.106
, pp. 2061
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Suh, S.B.1
Cui, C.2
Son, H.S.3
Won, J.S.U.Y.4
Kim, K.S.5
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6
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0037420311
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H. Okamoto, T. Nakanishi, Y. Nagai, M. Kasahara, and K. Takeda: J. Am. Chem. Soc. 125 (2003) 2756.
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(2003)
J. Am. Chem. Soc
, vol.125
, pp. 2756
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Okamoto, H.1
Nakanishi, T.2
Nagai, Y.3
Kasahara, M.4
Takeda, K.5
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7
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35948931982
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In order to estimate the actual bore size of PNR, we define the internal diameter as follows. We calculated several atomic distances from the molecular center to any of the ring skeleton atoms, and subtracted the van der Waals radius of the corresponding atom from the calculated atomic distance. Then, we defined the internal radius (diameter) by finding the smallest one
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In order to estimate the actual bore size of PNR, we define the internal diameter as follows. We calculated several atomic distances from the molecular center to any of the ring skeleton atoms, and subtracted the van der Waals radius of the corresponding atom from the calculated atomic distance. Then, we defined the internal radius (diameter) by finding the smallest one.
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8
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35948948046
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We calculated the overlap population between the AM cation and 6PNR. The resulting values are 0.139 for Li, 0.116 for Na+ and 0.061 for K, respectively. They are less than that for the H +/6PNR system by 1/5-1/10, because the Is AO of H+ is energetically more stable than the corresponding AOs of AM cations and the orbital mixing between H+ and 6PNR is more remarkable as shown in Fig. 5
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+ and 6PNR is more remarkable as shown in Fig. 5.
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9
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35948961729
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+ is +0.63.
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+ is +0.63.
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10
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35948976357
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We carried out the R(O)HF/6-31G** calculations for the isolated anion and cations and obtained their electronic structures preliminarily. The energy difference between the 2s and 2p AOs of the F- cation is 1.5 times larger than that of the atomistic F, whereas those between 3s and 3p AOs and between 4s and 4p AOs are reduced in C1 and Br atoms
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We carried out the R(O)HF/6-31G** calculations for the isolated anion and cations and obtained their electronic structures preliminarily. The energy difference between the 2s and 2p AOs of the F- cation is 1.5 times larger than that of the atomistic F, whereas those between 3s and 3p AOs and between 4s and 4p AOs are reduced in C1 and Br atoms.
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11
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35948942516
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The present requantumization in MOs means that a periodic boundary condition causes a zone folding in the Brillouin zone under the electronic band scheme. When this periodic boundary condition occurs in a closed ring, eigenstates should be folded into the center of the Brillouin zone so as to be MO states.
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The present "requantumization" in MOs means that a periodic boundary condition causes a "zone folding" in the Brillouin zone under the electronic band scheme. When this periodic boundary condition occurs in a closed ring, eigenstates should be folded into the center of the Brillouin zone so as to be MO states.
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12
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35948939521
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The UHF excited state has been calculated using the basis set of 631G** whereas the UHF excited state has been calculated using that of 6-31G. Accordingly, the direct comparison between the numerical values is not suitable.
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The UHF excited state has been calculated using the basis set of 631G** whereas the UHF excited state has been calculated using that of 6-31G. Accordingly, the direct comparison between the numerical values is not suitable.
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13
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35948954548
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The potential term, increases by 18.325 hartree whereas the decreases in kinetic, interelectron and interneuclear repulsion terms are 0.481, 8.807, and 9.034 hartree, respectively. However, these values should not be compared directly with those of the ground state, because the computation for the ground state was carried out by HF/6-31G** calculation whereas those for the excited states were performed by CIS/6-31G calculation.
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The potential term, increases by 18.325 hartree whereas the decreases in kinetic, interelectron and interneuclear repulsion terms are 0.481, 8.807, and 9.034 hartree, respectively. However, these values should not be compared directly with those of the ground state, because the computation for the ground state was carried out by HF/6-31G** calculation whereas those for the excited states were performed by CIS/6-31G calculation.
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