-
1
-
-
84906410975
-
-
Kambara, S. Private Remarks on Molecular Design In Molecular Design of Polymers (Koubunshi no Bunshi Sekkei); Kawai, T., Uno, K., Oya, M., Komoto, T., Tsuchida, E., Nakajima, T., Fukada, E., Yamazaki, N., Yamada, N., Eds.; Baifukan: Tokyo, 1972; 3, pp 3-7. (written in Japanese).
-
Kambara, S. Private Remarks on Molecular Design In Molecular Design of Polymers (Koubunshi no Bunshi Sekkei); Kawai, T., Uno, K., Oya, M., Komoto, T., Tsuchida, E., Nakajima, T., Fukada, E., Yamazaki, N., Yamada, N., Eds.; Baifukan: Tokyo, 1972; Vol. 3, pp 3-7. (written in Japanese).
-
-
-
-
2
-
-
84906367707
-
-
For example, we guess the following future. A scientist sits before a computer terminal to specify some structures, physical properties, and/or functions and search for the candidate polymers. The computer shows a list of the fitted polymers on the display. The selection is based on theoretical computations for existent and nonexistent polymers as well as database on existent polymers; therefore, the list includes nonexistent polymers. If the scientist chooses one of them, the computer returns detailed information on the synthetic routes, costs, toxicity, etc. If a synthetic method is indicated, the computer transmits the data to an automatic polymer synthesizer. On the next morning, he or she will find the polymer precipitated in a flask placed inside the synthesizer
-
For example, we guess the following future. A scientist sits before a computer terminal to specify some structures, physical properties, and/or functions and search for the candidate polymers. The computer shows a list of the fitted polymers on the display. The selection is based on theoretical computations for existent and nonexistent polymers as well as database on existent polymers; therefore, the list includes nonexistent polymers. If the scientist chooses one of them, the computer returns detailed information on the synthetic routes, costs, toxicity, etc. If a synthetic method is indicated, the computer transmits the data to an automatic polymer synthesizer. On the next morning, he or she will find the polymer precipitated in a flask placed inside the synthesizer.
-
-
-
-
3
-
-
34248581887
-
-
Sasanuma, Y.; Asai, S.; Kumagai, R. Macromolecules 2007, 40, 3488.
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(2007)
Macromolecules
, vol.40
, pp. 3488
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Sasanuma, Y.1
Asai, S.2
Kumagai, R.3
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5
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0035818678
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-
Sawanobori, M.; Sasanuma, Y.; Kaito, A. Macromolecules 2001, 34, 8321.
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(2001)
Macromolecules
, vol.34
, pp. 8321
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Sawanobori, M.1
Sasanuma, Y.2
Kaito, A.3
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6
-
-
0037161442
-
-
Sasanuma, Y.; Ohta, H.; Tourna, I.; Matoba, H.; Hayashi, Y.; Kaito, A. Macromolecules 2002, 35, 3748.
-
(2002)
Macromolecules
, vol.35
, pp. 3748
-
-
Sasanuma, Y.1
Ohta, H.2
Tourna, I.3
Matoba, H.4
Hayashi, Y.5
Kaito, A.6
-
11
-
-
0035810511
-
-
Sasanuma, Y.; Iwata, T.; Kato, Y.; Kato, H.; Yarita, T.; Kinugasa, S.; Law, R. V. J. Phys. Chem. A 2001, 105, 3277.
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(2001)
J. Phys. Chem. A
, vol.105
, pp. 3277
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-
Sasanuma, Y.1
Iwata, T.2
Kato, Y.3
Kato, H.4
Yarita, T.5
Kinugasa, S.6
Law, R.V.7
-
12
-
-
0037044381
-
-
Sasanuma, Y.; Hayashi, Y.; Matoba, H.; Tourna, I.; Ohta, H.; Sawanobori, M.; Kaito, A. Macromolecules 2002, 35, 8216.
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(2002)
Macromolecules
, vol.35
, pp. 8216
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-
Sasanuma, Y.1
Hayashi, Y.2
Matoba, H.3
Tourna, I.4
Ohta, H.5
Sawanobori, M.6
Kaito, A.7
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13
-
-
33645962306
-
-
Mortillaro, L.; Credali, L.; Russo, M.; De Checchi, C. J. Polym. Sci., Part B: Polym. Lett. 1965, 3, 581.
-
(1965)
J. Polym. Sci., Part B: Polym. Lett
, vol.3
, pp. 581
-
-
Mortillaro, L.1
Credali, L.2
Russo, M.3
De Checchi, C.4
-
14
-
-
84906388882
-
-
Carazzolo, G.; Mortillaro, L.; Credali, L.; Bezzi, S. J. Polym. Sci., Part B: Polym. Lett. 1965, 3, 997.
-
(1965)
J. Polym. Sci., Part B: Polym. Lett
, vol.3
, pp. 997
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-
Carazzolo, G.1
Mortillaro, L.2
Credali, L.3
Bezzi, S.4
-
15
-
-
84906405556
-
-
Carazzolo, G.; Valle, G. J. Polym. Sci., Part A 1965, 3, 4013.
-
(1965)
J. Polym. Sci., Part A
, vol.3
, pp. 4013
-
-
Carazzolo, G.1
Valle, G.2
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16
-
-
84906409459
-
-
Prince, M.; Bremer, B. J. Polym. Sci., Part B: Polym. Lett. 1967, 5, 843.
-
(1967)
J. Polym. Sci., Part B: Polym. Lett
, vol.5
, pp. 843
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-
Prince, M.1
Bremer, B.2
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17
-
-
84949192299
-
-
Russo, M.; Mortillaro, L.; Credali, L.; De Checchi, C. J. Polym. Sci., Part A-1: Polym. Chem. 1966, 4, 248.
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(1966)
J. Polym. Sci., Part A-1: Polym. Chem
, vol.4
, pp. 248
-
-
Russo, M.1
Mortillaro, L.2
Credali, L.3
De Checchi, C.4
-
19
-
-
84949223032
-
-
Carazzolo, G.; Mammi, M. J. Polym. Sci., Part C: Polym. Symp. 1967, 16, 1521.
-
(1967)
J. Polym. Sci., Part C: Polym. Symp
, vol.16
, pp. 1521
-
-
Carazzolo, G.1
Mammi, M.2
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20
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-
84906382187
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-
13
-
13
-
-
-
-
21
-
-
0014883039
-
-
Sandrolini, F.; Manaresi, P.; Pietra, S.; Mortillaro, L.; Russo, M. J. Polym. Sci., Part B: Polym. Lett. 1970, 8, 749.
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(1970)
J. Polym. Sci., Part B: Polym. Lett
, vol.8
, pp. 749
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-
Sandrolini, F.1
Manaresi, P.2
Pietra, S.3
Mortillaro, L.4
Russo, M.5
-
22
-
-
84906382188
-
-
Organoselenium compounds including polyselenoethers have often been prepared in similar manners for the corresponding organic sulfides
-
Organoselenium compounds including polyselenoethers have often been prepared in similar manners for the corresponding organic sulfides.
-
-
-
-
23
-
-
84906396785
-
-
Frisch, M. J, Trucks, G. W, Schlegel, H. B, Scuseria, G. E, Robb, M. A, Cheeseman, J. R, Montgomery, Jr, J. A, Vreven, T, Kudin, K. N, Burant, J. C, Millam, J. M, Iyengar, S. S, Tomasi, J, Barone, V, Mennucci, B, Cossi, M, Scalmani, G, Rega, N, Petersson, G. A, Nakatsuji, H, Hada, M, Ehara, M, Toyota, K, Fukuda, R, Hasegawa, J, Ishida, M, Nakajima, T, Honda, Y, Kitao, O, Nakai, H, Klene, M, Li, X, Knox, J. E, Hratchian, H. P, Cross, J. B, Bakken, V, Adamo, C, Jaramillo, J, Gomperts, R, Stratmann, R. E, Yazyev, O, Austin, A. J, Cammi, R, Pomelli, C, Ochterski, J. W, Ayala, P. Y, Morokuma, K, Voth, G. A, Salvador, P, Dannenberg, J. J, Zakrzewski, V. G, Dapprich, S, Daniels, A. D, Strain, M. C, Farkas, O, Malick, D. K, Rabuck, A. D, Raghavachari, K, Foresman, J. B, Ortiz, J. V, Cui, Q, Baboul, A. G, Clifford, S, Cioslowski, J, Stefanov, B. B, Liu, G, Liashenko, A, Piskorz, P, Komaromi, I, Martin, R. L, Fox, D. J, Keit
-
Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Montgomery, Jr., J. A.; Vreven, T.; Kudin, K. N.; Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Bakken, V.; Adamo, C.; Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. Gaussian03, revision D.01; Gaussian, Inc.: Wallingford, CT, 2004.
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-
-
-
24
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84906367708
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-
27
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27
-
-
-
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25
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4243943295
-
-
Perdew, J. P.; Burke, K.; Ernzerhof, M. Phys. Rev. Lett. 1996, 77, 3865.
-
(1996)
Phys. Rev. Lett
, vol.77
, pp. 3865
-
-
Perdew, J.P.1
Burke, K.2
Ernzerhof, M.3
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30
-
-
36648999726
-
-
available at
-
O'Boyle, N. M. GaussSum 2.1, 2007; available at http://gausssum.sf.net.
-
(2007)
GaussSum 2.1
-
-
O'Boyle, N.M.1
-
31
-
-
78650830129
-
CRYSTAL06; University of Torino: Torino, Italy
-
available at
-
Dovesi, R.; Saunders, V. R.; Roetti, C.; Orlando, R.; Zicovich-Wilson, C. M.; Pascale, F.; Civalleri, B.; Doll, K.; Harrison, N. M.; Bush, I. J.; D'Arco, Ph.; Llunell, M. CRYSTAL06; University of Torino: Torino, Italy, 2006. For the details, see CRYSTAL06 User's Manual available at http://www.crystal. unito.it.
-
(2006)
For the details, see CRYSTAL06 User's Manual
-
-
Dovesi, R.1
Saunders, V.R.2
Roetti, C.3
Orlando, R.4
Zicovich-Wilson, C.M.5
Pascale, F.6
Civalleri, B.7
Doll, K.8
Harrison, N.M.9
Bush, I.J.10
D'Arco, P.11
Llunell, M.12
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32
-
-
37049111075
-
-
Gulliver, D. J.; Hope, E. G.; Levason, W.; Murray, S. G.; Potter, D. M.; Marshall, G. L. J. Chem. Soc., Perkin Trans. 1984, 2, 429.
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(1984)
J. Chem. Soc., Perkin Trans
, vol.2
, pp. 429
-
-
Gulliver, D.J.1
Hope, E.G.2
Levason, W.3
Murray, S.G.4
Potter, D.M.5
Marshall, G.L.6
-
33
-
-
84906410970
-
-
Budzelaar, P. H. M. gNMR, version 5.0. IvorySoft & Adept Scientific pic: Letchworth, U.K, 2004
-
Budzelaar, P. H. M. gNMR, version 5.0. IvorySoft & Adept Scientific pic: Letchworth, U.K., 2004.
-
-
-
-
34
-
-
84906410971
-
-
seH can not determined only from the simulation, and hence the absolute values are given.
-
seH can not determined only from the simulation, and hence the absolute values are given.
-
-
-
-
37
-
-
84906410972
-
-
An extra instability of ΔGn, 2Eσ ∼ 2 kcal mol-1 may occur in the tt conformation of BMSeM. This may be due to, for example, the interaction between parallel dipole moments. If this interaction, designated provisionally as &tau, is included, the U 3 matrix of BMSeM and PMSe is revised to U3, στ-1 1 1 σ-1 1 0 σ-1 0 1] and the Ua and the Ub matrices are also modified similarly. The revised matrices slightly change the p t value of BMSeM (0.12 → 0.11) and the characteristic ratio of PMSe at 25°C 7.29 → 7.58, Whether the interaction is substantial or not, it has not been taken into account because of the rare occurrence of the tt conformation, the negligible effects, and the consistency with the previous studies;5 the Uj matrices shown in Appendix S1 have been adopted here
-
j matrices shown in Appendix S1 have been adopted here.
-
-
-
-
38
-
-
84906382186
-
-
The dipole potential is given by Edip, k, μk2(4πε0εrl k3) where ε0 is the electric constant, εr is the dielectric constant, and lk is the dipole distance. The dipole moment is assumed to arise from a pair of imaginary point charges, qk and-qk, separated by lk: μk, qklk. The conformer free energy is given as the sum of the dipole potential and the net conformer energy E conf, k, Gk, Edip,k, Econf, k. The dipole distance is approximated as lk, α a0,k where a0,k is the conformer radius of Onsager's model,39 and α is the proportionality factor. In Onsager's model, the conformer is assumed to be spherical. The a value was so adjusted as to minimize the difference between free energie
-
40 However, this study has dealt with only well-defined interactions under the 9 × 9 matrix scheme.
-
-
-
-
40
-
-
17444422859
-
-
Sasanuma, Y.; Teramae, F.; Yamashita, H.; Hamano, I.; Hattori, S. Macromolecules 2005, 38, 3519.
-
(2005)
Macromolecules
, vol.38
, pp. 3519
-
-
Sasanuma, Y.1
Teramae, F.2
Yamashita, H.3
Hamano, I.4
Hattori, S.5
-
41
-
-
0001595261
-
-
Tsuzuki, S.; Uchimaru, T.; Tanabe, K.; Hirano, T. J. Phys. Chem. 1993, 97, 1346.
-
(1993)
J. Phys. Chem
, vol.97
, pp. 1346
-
-
Tsuzuki, S.1
Uchimaru, T.2
Tanabe, K.3
Hirano, T.4
-
42
-
-
0000560093
-
-
Jaffe, R. L.; Smith, G. D.; Yoon, D. Y. J. Phys. Chem. 1993, 97, 12745.
-
(1993)
J. Phys. Chem
, vol.97
, pp. 12745
-
-
Jaffe, R.L.1
Smith, G.D.2
Yoon, D.Y.3
-
46
-
-
0011083499
-
-
Reed, A. E.; Curtiss, L. A.; Weinhold, F. Chem. Rev. 1988, 88, 899.
-
(1988)
Chem. Rev
, vol.88
, pp. 899
-
-
Reed, A.E.1
Curtiss, L.A.2
Weinhold, F.3
-
47
-
-
84906410973
-
-
Glendening, E. D, Reed, A. E, Carpenter, J. E, Weinhold, F. NBO version 3.1; Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin: Madison, WI
-
Glendening, E. D.; Reed, A. E.; Carpenter, J. E.; Weinhold, F. NBO version 3.1; Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin: Madison, WI.
-
-
-
-
48
-
-
84906410974
-
-
5-12 (mentioned in the Introduction) and references cited therein. The crystallographic data are taken from the following papers. PMO, (a) Uchida, T.; Tadokoro, H. J. Polym. Sci., Part A-2 1967, 5, 63. PEO,
-
5-12 (mentioned in the Introduction) and references cited therein. The crystallographic data are taken from the following papers. PMO, (a) Uchida, T.; Tadokoro, H. J. Polym. Sci., Part A-2 1967, 5, 63. PEO,
-
-
-
-
49
-
-
0001601663
-
-
(b) Tadokoro, H.; Chatani, Y.; Yoshihara, T.; Tahara, S.; Murahashi, S. Makromol. Chem. 1964, 73, 109.
-
(1964)
Makromol. Chem
, vol.73
, pp. 109
-
-
Tadokoro, H.1
Chatani, Y.2
Yoshihara, T.3
Tahara, S.4
Murahashi, S.5
-
51
-
-
0001047770
-
-
(d) Takahashi, Y.; Sumita, I.; Tadokoro, H. J. Polym. Sci., Polym. Phys. Ed. 1973, 11, 2113.
-
(1973)
J. Polym. Sci., Polym. Phys. Ed
, vol.11
, pp. 2113
-
-
Takahashi, Y.1
Sumita, I.2
Tadokoro, H.3
-
53
-
-
0345371044
-
-
Isotactic PPO
-
(f) Tadokoro, H.; Takahashi, Y.; Chatani, Y.; Kakida, H. Makromol. Chem. 1967, 109, 96. Isotactic PPO,
-
(1967)
Makromol. Chem
, vol.109
, pp. 96
-
-
Tadokoro, H.1
Takahashi, Y.2
Chatani, Y.3
Kakida, H.4
-
54
-
-
0000176008
-
-
PMS
-
(g) Cesari, M.; Perego, G.; Marconi, W. Makromol. Chem. 1966, 94, 194. PMS,
-
(1966)
Makromol. Chem
, vol.94
, pp. 194
-
-
Cesari, M.1
Perego, G.2
Marconi, W.3
-
56
-
-
0001630189
-
-
PTMS
-
(i) Takahashi, Y.; Tadokoro, H.; Chatani, Y. J. Macromol. Sci., Phys. 1968, B2, 361. PTMS,
-
(1968)
J. Macromol. Sci., Phys
, vol.B2
, pp. 361
-
-
Takahashi, Y.1
Tadokoro, H.2
Chatani, Y.3
-
57
-
-
33644611138
-
-
407. Isotactic PPS
-
(j) Sakakihara, H.; Takahashi, Y.; Tadokoro, H. Discuss. Meeting Soc. Polym. Sci., Jpn., Tokyo, Prepr. 1969, 407. Isotactic PPS,
-
(1969)
Discuss. Meeting Soc. Polym. Sci., Jpn., Tokyo, Prepr
-
-
Sakakihara, H.1
Takahashi, Y.2
Tadokoro, H.3
-
58
-
-
0010904167
-
-
m values shown in Table 10 were selected partly from the papers here and mainly from the PolyInfo Database (http://polymer.nims.go.jp/) provided by the Materials Information Technology Station of the National Institute for Materials Science, Japan.
-
m values shown in Table 10 were selected partly from the papers here and mainly from the PolyInfo Database (http://polymer.nims.go.jp/) provided by the Materials Information Technology Station of the National Institute for Materials Science, Japan.
-
-
-
-
59
-
-
33947527607
-
-
Takahashi, Y.; Tadokoro, H.; Hirano, T.; Sato, A.; Tsuruta, T. J. Polym. Sci., Polym. Phys. Ed. 1975, 13, 285.
-
(1975)
J. Polym. Sci., Polym. Phys. Ed
, vol.13
, pp. 285
-
-
Takahashi, Y.1
Tadokoro, H.2
Hirano, T.3
Sato, A.4
Tsuruta, T.5
-
60
-
-
0001211264
-
-
Sakakihara, H.; Takahashi, Y.; Tadokoro, H.; Oguni, N.; Tani, H. Macromolecules 1973, 6, 205.
-
(1973)
Macromolecules
, vol.6
, pp. 205
-
-
Sakakihara, H.1
Takahashi, Y.2
Tadokoro, H.3
Oguni, N.4
Tani, H.5
-
61
-
-
84906367705
-
-
In the original papers49,50 on the crystal structures, the (S)-optical forms are used as the models. For consistency with our previous and present papers, the discussion here is based on the (R)-configurations
-
49,50 on the crystal structures, the (S)-optical forms are used as the models. For consistency with our previous and present papers, the discussion here is based on the (R)-configurations.
-
-
-
-
62
-
-
4444228530
-
-
Sasanuma, Y.; Ono, T.; Kuroda, Y.; Miyazaki, E.; Hikino, K.; Arou, J.; Nakata, K.; Inaba, H.; Tozaki, K.; Hayashi, H.; Yamaguchi, K. J. Phys. Chem. B 2004, 108, 13163.
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(2004)
J. Phys. Chem. B
, vol.108
, pp. 13163
-
-
Sasanuma, Y.1
Ono, T.2
Kuroda, Y.3
Miyazaki, E.4
Hikino, K.5
Arou, J.6
Nakata, K.7
Inaba, H.8
Tozaki, K.9
Hayashi, H.10
Yamaguchi, K.11
-
64
-
-
10044267794
-
-
Sasanuma, Y.; Hattori, S.; Imazu, S.; Ikeda, S.; Kaizuka, T.; Iijima, T.; Sawanobori, M.; Azam, M. A.; Law, R. V.; Steinke, J. H. G. Macromolecules 2004, 37, 9169.
-
(2004)
Macromolecules
, vol.37
, pp. 9169
-
-
Sasanuma, Y.1
Hattori, S.2
Imazu, S.3
Ikeda, S.4
Kaizuka, T.5
Iijima, T.6
Sawanobori, M.7
Azam, M.A.8
Law, R.V.9
Steinke, J.H.G.10
-
65
-
-
0002230535
-
-
Brant, D. A.; Miller, W. G.; Flory, P. J. J. Mol. Biol. 1967, 23, 47.
-
(1967)
J. Mol. Biol
, vol.23
, pp. 47
-
-
Brant, D.A.1
Miller, W.G.2
Flory, P.J.3
-
69
-
-
84906367706
-
-
j matrices must be scaled so that the crystal conformation has the statistical weight of unity.
-
j matrices must be scaled so that the crystal conformation has the statistical weight of unity.
-
-
-
-
70
-
-
84906410967
-
-
In the previous paper,8 the Uconf values of PMO and PMS were given in the unit of per mole of skeletal bond; here, the thermodynamic parameters have been evaluated in the unit of per mole of monomeric unit
-
conf values of PMO and PMS were given in the unit of per mole of skeletal bond; here, the thermodynamic parameters have been evaluated in the unit of per mole of monomeric unit.
-
-
-
-
71
-
-
84906410968
-
-
conf value here may indirectly represent the motional effects to a certain extent.
-
conf value here may indirectly represent the motional effects to a certain extent.
-
-
-
-
72
-
-
84906410969
-
-
inter terms are closely interdependent.
-
inter terms are closely interdependent.
-
-
-
-
73
-
-
5544308737
-
-
Chatani, Y.; Kobatake, T.; Tadokoro, H.; Tanaka, R. Macromolecules 1982, 15, 170.
-
(1982)
Macromolecules
, vol.15
, pp. 170
-
-
Chatani, Y.1
Kobatake, T.2
Tadokoro, H.3
Tanaka, R.4
-
74
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84906410962
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For PMO, the DOS calculations were attempted with the geometrical parameters as determined by X-ray diffraction and gave a DOS profile nearly identical to that shown in Figure 8.
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For PMO, the DOS calculations were attempted with the geometrical parameters as determined by X-ray diffraction and gave a DOS profile nearly identical to that shown in Figure 8.
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76
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84942401063
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Ugliengo, P.; Viterbo, D.; Chiari, G. Z. Kristallogr. 1993, 207, 9.
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(1993)
Kristallogr
, vol.207
, pp. 9
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Ugliengo, P.1
Viterbo, D.2
Chiari, G.Z.3
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78
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84906410963
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Ordinarily, the band structure is represented with respect to critical points within the first Brillouin zone. This is meaningful especially for highly symmetric cells such as body-and face-centered cubics of metals and inorganic substances. Owing to the anisotropy of the PESe chain in the orthorhombic lattice, the band energies are plotted against paths passing through the conventional reciprocal lattice points
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Ordinarily, the band structure is represented with respect to critical points within the first Brillouin zone. This is meaningful especially for highly symmetric cells such as body-and face-centered cubics of metals and inorganic substances. Owing to the anisotropy of the PESe chain in the orthorhombic lattice, the band energies are plotted against paths passing through the conventional reciprocal lattice points.
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