Abstract
This chapter presents some examples of the application of the ab initio crystal-orbital method described in Chapter 1. Though these applications range from the field of plastics (polyethylene and its fluoro derivatives) through highly conducting polymers [polyacetylenes and polydiacetylenes, (SN) x , TCNQ and TTF stacks] to biopolymers (homopolynucleotides and homopolypeptides), they are only illustrative. No attempt has been made to review the numerous other applications performed by the Namur group and by other researchers, as this would increase unduly the size of this book.
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References
W. L. Mccubbin and R. Hanner, Chem. Phys. Lett.2, 230 (1968).
K. Morokuma, Chem. Phys. Lett.6, 186 (1970).
D. L. Beveridge, I. Jano, and J. Ladik, J. Chem. Phys.56, 4744 (1972).
J.-M. André, in: Electronic Structure of Polymers and Molecular Crystals ( J.-M. André and J. Ladik, eds.), p. 1, Plenum Press, London-New York (1975).
J.-M. André, Comput. Phys. Commun.1, 39 (1970).
S. Suhai, J. Polym. Sci., Polym. Phys. Ed.21, 1341 (1983)
S. Suhai, in: Quantum Chemistry of Polymers; Solid State Aspects ( J. Ladik and J.-M. André, eds.), p. 101, D. Reidel Publ. Co., Dordrecht-Boston, 1984.
W. J. Hehre, R. F. Stewart, and J. A. Pople, J. Chem. Phys.51, 2657 (1969).
R. Ditchfield, J. W. Hehre, and J. A. Pople, J. Chem. Phys.54, 724 (1971).
R. A. Binkley, P. C. Hariharan, R. Seeger, R. A. Whiteside, and J. A. Pople, Gaussian 76, QCPE No. 368, Bloomington, Indiana (1968).
S. Suhai, J. Chem. Phys.73, 3843 (1980).
S. Suhai, P. S. Bagus, and J. Ladik, Chem. Phys. Lett.68, 467 (1982).
K. J. Less and E. G. Wilson, J. Phys. C.6, 3110 (1973).
T. Koopmans’, Physica1, 104 (1933).
W. L. Mccubbin, Chem. Phys. Lett.8, 507 (1971)
J.-M. Andre and J. Delhalle, Chem. Phys. Lett.17, 145 (1972)
J. Delhalle, S. Delhalle, and J.-M. André, Bull. Soc. Chim. Belq.83, 107 (1974)
J. Delhalle, J. Chem. Phys.5, 306 (1974).
K. Morokuma, J. Chem. Phys.54, 962 (1971).
P. Otto, J. Ladik, and W. Forner, Chem. Phys.95, 365 (1985).
J. Delhalle, in: Electronic Structure of Polymers and Molecular Crystals ( J.-M. André and J. Ladik, eds.), p. 53, Penum Press, London—New York (1975).
H. Shirakawa, E. J. Louis, A. G. Macdiarmid, C. K. Heeger, and A. J. Heeger, J. Chem. Soc., Chem. Commun. 578 (1977).
C. K. Chiang, M. A. Drug, S. C. Gau, A. J. Heeger, H. Shirakawa, E. J. Louis, A. G. Macdiarmid, and Y. W. Park, J. Am. Chem. Soc.100, 1013 (1978).
C. K. Chiang, C. R. Fincher, Jr., Y. W. Park, A. J. Heeger, H. Shirakawa, E. J. Louis, S. C. Gau, and A. G. Macdiarmid, Phys. Rev. Lett.39, 1098 (1977).
Y. W. Park, M. A. Drug, C. K. Chiang, A. J. Heeger, A. G. Macdiarmid, H. Shirakawa, and S. Ikeda, J. Polym. Sci., Polym. Chem. Ed.17, 195 (1979).
C. K. Chiang, Y. W. Park, A. J. Heeger, H. Shirakawa, E. J. Louis, and A. G. MacDiarmid, J. Chem. Phys.69, 5098 (1978).
C. K. Chaing, S. C. Gau, C. R. Fincher, Jr., Y. W. Park, A. G. Macdiarmid, and A. J. Heeger, Appl. Phys. Lett.33, 181 (1978).
C. R. Fincher, Jr., D. L. Peebles, A. J. Heeger, M. A. Drug, Y. Matsumara, and A. G. Dacdiarmid, Solid State Commun. 27, 489 (1978).
C. R. Fincher, Jr., M. Ozaki, A. J. Heeger, and A. C. Macdiarmid, Phys. Rev. B19, 4140 (1979).
Y. W. Park, A. Denenstein, C. K. Chiang, A. J. Heeger, and A. G. Macdiarmid, Solid State Commun. 29, 747 (1979).
L. G. S. Brooker, J. Am. Chem. Soc.73, 1087, 5332 (1951).
H. Kuhn, Helv. Chim. Acta31, 1441 (1948).
R. H. Baughman, S. L. Hsu, G. P. Pez, and A. J. Signorelli, J. Chem. Phys.68, 5405 (1978)
A. J. Heeger, Comments Solid State Phys. 10, 53 (1981)
G. Wegner, Angew. Chem.93, 352 (1981)
C. R. Fincher, Jr., C.-E. Chen, A. J. Heeger, W. G. Macdiarmid, and J. B. Hastings, Phys. Rev. Lett.48, 100 (1982).
T. Ito, H. Shirakawa, and S. Ikeda, J. Polym. Sci., Polym. Chem. Ed.13, 1943 (1975).
J. E. Lennard-Jones, Proc. R. Soc. London, Ser. A158, 280 (1937).
C. A. Coulson, Proc. R. Soc. London, Ser. A164, 383 (1938); 169, 413 (1939).
H. Labhart, J. Chem. Phys.27, 957 (1957).
H. C. Longuet-Higgins and L. Salem, Proc. R. Soc. London, Ser. A251, 172 (1959).
J. A. Pople and S. H. Walmsley, Trans. Faraday Soc.58, 441 (1962).
M. J. S. Dewar and G. J. Gleicher, J. Am. Chem. Soc.87, 692 (1965).
R. Hoffman, Tetrahedron22, 521 (1966).
W. Kutzelnigg, Theor. Chim. Acta (Berlin)4, 417 (1966).
J.-M. André and G. Leroy, Theor. Chem. Acta (Berlin)9, 123 (1967).
S. F. O’shea and D. P. Santry, J. Chem. Phys.54, 2667 (1971).
D. L. Beveridge, I. Jano, and J. Ladik, J. Chem. Phys.56, 4744 (1972).
J.-M. André and G. Leroy, Int. J. Quantum Chem.5, 557 (1971).
M. Kertész, J. Koller, and A. Aéman, J. Chem. Phys.67, 1180 (1977).
M. Kertész, J. Koller, and A. Aman, J. Chem. Soc., Chem. Commun. 575 (1978).
A. Karpfen and J. Petkov, Theor. Chim. Acta (Berlin)53, 65 (1979).
P. Grant and I. P. Batra, Solid State Commun. 29, 225 (1979).
R. A. Harris and L. M. Falicov, J. Chem. Phys.51, 5034 (1969).
A. A. Ovchinnikov, I. I. Ükrainski, and G. V. Kventsel, Usp. Fiz. Nauk108, 81 (1973); Soy. Phys. Usp.15, 575 (1979).
S. Suhai, Phys. Rev. B27, 3506 (1983).
S. Suhai, J. Chem. Phys.73, 3843 (1980).
S. Suhai, Chem. Phys. Lett.96, 619 (1983).
J. Cizek and J. Paldus, J. Chem. Phys.47, 3976 (1967)
J. Padus and J. Cizek, Phys. Rev. A3, 2268 (1970).
W. J. Hehre, R. F. Stewart, and J. A. Pople, J. Chem. Phys.51, 2657 (1969)
R. Ditchfield, W. J. Hehre, and J. A. Pople, J. Chem. Phys.54, 726 (1971).
J. S. Binkley, R. A. Whiteside, P. C. Hariharan, R. Seeger, J. A. Pople, W. J. Hehre, and M. D. Newton, Gaussian 76, QCPE No. 368, Bloomington, Indiana (1968).
R. H. Baughman, S. I. Hsu, L. R. Anderson, G. P. Pez, and A. J. Signoreli, in: Molecular Metals ( W. Hatfield, ed.), p. 189, Plenum Press, New York-London (1979).
C. R. Fincher, Jr., C.-E. Chen, A. J. Heeger, A. G. Macdiarmid, and J. B. Hastings, Phys. Rev. Lett.48, 100 (1982).
H. P. Geserich and L. Pintschovius, Adv. Solid State Phys.16, 65 (1976).
H. Kamimura, A. J. Grant, F. Levy, A. D. Yoffe, and G. D. Pitt, Solid State Commun. 17, 49 (1976)
D. E. Parry and J. M. Thomas, J. Phys. C8, L45 (1975)
V. T. Rajan and L. M. Falicov, Phys. Rev. B12, 1240 (1975)
A. Zunger, Chem. Phys.63, 4854 (1975)
C. Merkel and J. Ladik, Phys. Lett.56A, 395 (1976);
S. Suhai and M. Kertész, J. Phys. C9, L347 (1976)
W. E. Rudge and P. M. Grant, Phys. Rev. Leu.35, 1799 (1975).
S. Suhai and J. Ladik, Solid State Commun, 22, 227 (1977).
B. Roos and P. Siegbahn, Theor. Chim. Acta (Berlin)17, 209 (1970).
M. Boudeulle and P. Michelle, Acta Crystallogr., Sect. A28, S199 (1972).
C. M. Mikulski, P. J. Russo, M. S. Saran, A. G. Macdiarmid, A. F. Garito, and A. J. Heeger, J. Am. Chem. Soc.97, 6358 (1975).
W. E. Rudge and P. M. Grant, Phys. Rev. Lett.35, 1799 (1975).
P. M. Grant, R. L. Greene, and G. B. Street, Phys. Rev. Lett.35, 1740 (1975).
R. L. Greene, P. M. Grant, and G. B. Street, Phys. Rev. Lett.34, 89 (1975).
M. Kertész, J. Koller, A. Azman, and S. Suhai, Phys. Lett.55A, 107 (1975).
R. S. Mulliken, J. Chem. Phys.23, 1833, 1841 (1955).
P. Mengel, P. M. Grant, W. E. Rudge, and B. H. Schechtman, Phys. Rev. Lett.35, 1803 (1975).
L. B. Coleman, M. J. Cohen, D. J. Sandman, F. G. Yamagishi, A. G. Garito, and A. J. Heeger, Solid State Commun. 12, 1125 (1973).
See the following review papers: I. F. Schegolev, Phys. Status Solidi 12, 9 (1972)
H. R. Zeller, Adv. Solid State Phys.13, 31 (1973)
Z. G. Soos, Ann. Rev. Phys. Chem.25, 12 (1974)
A. J. Heeger and A. F. Garito, in: Low-dimensional Cooperative Phenomena ( H. J. Keller, ed.), p. 89, Plenum Press, New York-London (1975)
G. A. Thomas, D. E. Schafer, F. Wudl, P. M. Horn, D. Rimai, J. W. Cook, D. A. Glocker, M. J. Skove, C. W. Chu, R. P. Groff, J. L. Gillson, R. C. Wheland, L. R. Melby, M. B. Salamon, R. A. Craven, G. De Pasquali, A. N. Bloch, D. O. Cowan, V. V. Walatka, R. E. Pyle, R. Gemmer, T. O. Poehler, G. R. Johnson, M. G. Miles, J. D. Wilson, J. P. Ferraris, T. F. Finnegan, R. J. Warmack, V. F. Raaen and D. Jerome, Phys. Rev. B11, 5105 (1976)
M. J. Cohen, L. B. Coleman, A. F. Garito, and A. J. Heeger, Phys. Rev. B13, 5111 (1976).
S. Suhai and J. Ladik, Phys. Lett.77A, 25 (1980).
T. J. Kistenmacher, T. E. Phillips, and D. O. Cowan, Acta Crystallogr. 33, 76 (1974).
W. J. Hehre, R. F. Stewart, and J. A. Pople, J. Chem. Phys.18, 932 (1965).
A. Karpfen, J. Ladik, G. Stollhoff, and P. Fulde, Chem. Phys.8, 215 (1975)
J. Ladik, Int. J. Quantum Chem.S9, 1563 (1975)
R. D. Singh and J. Ladik, Phys. Lett.65A, 264 (1975).
F. Cavallone and E. Clementi, J. Chem. Phys.63, 4304 (1975).
J. André, Lecture at the Cecam Symposium on Quantum Theory of Polymers, Namur (1979).
F. Donoyer, R. Comes, A. F. Garito, and A. J. Heeger, Phys. Rev. Lett.35, 445 (1975).
J. Ladik and S. Suhai, Int. J. Quantum Chem., Quantum Biol. Symp.7, 181 (1980).
P. Otto, E. Clementi, and J. Ladik, J. Chem. Phys.78, 454 (1980).
E. Clementi and G. Corongiu, Int. J. Quantum Chem. Quantum Biol. Symp. 9, 213 (1982). See also IBM Research Report POK-09, March 3, 1982.
P. Otto and E. Clementi (unpublished results).
See, for example, C. Castiglioni, D. Ortolera, and E. Clementi, Comput. Phys. Commun. 19, 337 (1980).
J. Ladkik and S. Suhai, in: Theoretical Chemistry (C. Thomson, ed.), Vol. 4, p. 49, `Specialists’ Report, Royal Society of Chemistry, London (1981).
R. Fieldman, in: Atlas of Macromolecular Structure on Microfiche (AMSOM), Document 13.2.1.1. 1, National Institutes of Health, Bethesda, Washington (1976).
An adapted version of the program REFINE originally written by J. Hermans, D. R. Ferro, J. E. Mcqueen, and S. C. Wang, in: Environmental Effects on Molecular Structure and Properties (B. Pullman, ed.), p. 459, Reidel, Dordrecht (1976), has been used.
E. Cementi, J.-M. André, C. André, C. Klint, and D. Hahn, Acta Phys. Acad. Sci. Hung.27, 493 (1969).
G. Corongiu and E. Clementi, Gazz. Chim. Ital.108, 273 (1978).
E. Clementi, in: Lecture Notes in Chemistry, Vol. 19, Springer-Verlag, New York (1980).
E. Clementi and G. Corongiu, Biopolymers20, 2427 (1981); 21, 763 (1982).
E. Clementi, G. Corongiu, M. Gratarola, P. Habitz, C. Lupo, P. Otto, and D. Vercauteren, Int. J. Quantum Chem., Symp. 16, 409 (1982). See also IBM Research Report POK-03, September 23, 1982.
J. Ladik, Int. J. Quantum Chem.4, 307 (1971).
J. Ladik in: Advances in Quantum Chemistry (P.-O. Löwdin, ed.), Vol. 7, p. 377, Academic Press, New York (1973).
J. Ladik, Int. J. Quantum Chem., Quantum Biol. Symp.1, 651 (1974).
S. Roth and K. Dransfeld (personal communication).
T. A. Hoffman and J. Ladik, Adv. Chem. Phys.7, 184 (1964)
R. Rein and J. Ladik, J. Chem. Phys.40, 2466 (1964).
E. Clementi, J. Mehl, and W. Von Niessen, J. Chem. Phys.54, 508 (1971).
J. Ladik, S. Suhai, P. Otto, and T. C. Collins, Int. J. Quantum Chem., Quantum Biol. Symp.4, 55 (1977)
J. J. Ladik and S. Suhai, in: Molecular Interactions ( H. Ratajczak and W. J. Orville-Thomas, eds.), p. 151, Wiley, New York (1980).
S. Suhai, Int. J. Quantum Chem., Quantum Biol. Symp.11(in press).
P. Otto, A. K. Bakhshi, M. Seel, and J. Ladik (unpublished).
E. Clementi (unpublished results).
L. Pauling and R. B. Corey, Proc. Natl. Acad. Sci. U.S.A.39, 253 (1953).
S. Suhai and J. Ladik, Theor. Chim. Acta (Berl.)28, 67 (1974)
S. Suhai, Theor. Chim. Acta (Berl.)34, 157 (1974)
S. Suhai and J. Ladik, Acta Chim. Hung. Acad. Sci.82, 67 (1974).
A. Szent-Gyorgyi, Int. J. Quantum Chem., Quantum Biol. Symp.3, 45 (1976)
A. Szent-Gyorgyi, Bioenergetics4, 535 (1973)
A. Szent-Gyorgyi, Electronic Biology and Cancer, Marcel Dekker, New York (1976).
P. Otto, S. Suhai and J. Ladik, Int. J. Quantum Chem., Quantum Biol. Symp.4, 451 (1977).
P. Otto, E. Clementi, J. Ladik, and F. Martino, J. Chem. Phys.80, 5294 (1984).
A. Szent-Gyorgyi, Nature148, 157 (1941); Science 93, 609 (1941).
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Ladik, J.J. (1988). Examples of Ab Initio Calculations on Quasi-One-Dimensional Polymers. In: Quantum Theory of Polymers as Solids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5233-4_3
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