Abstract.
We systematically examine all the tight-binding parameters pertinent to charge transfer along DNA. The \( \pi\) molecular structure of the four DNA bases (adenine, thymine, cytosine, and guanine) is investigated by using the linear combination of atomic orbitals method with a recently introduced parametrization. The HOMO and LUMO wave functions and energies of DNA bases are discussed and then used for calculating the corresponding wave functions of the two B-DNA base-pairs (adenine-thymine and guanine-cytosine). The obtained HOMO and LUMO energies of the bases are in good agreement with available experimental values. Our results are then used for estimating the complete set of charge transfer parameters between neighboring bases and also between successive base-pairs, considering all possible combinations between them, for both electrons and holes. The calculated microscopic quantities can be used in mesoscopic theoretical models of electron or hole transfer along the DNA double helix, as they provide the necessary parameters for a tight-binding phenomenological description based on the \( \pi\) molecular overlap. We find that usually the hopping parameters for holes are higher in magnitude compared to the ones for electrons. Our findings are also compared with existing calculations from first principles.
Similar content being viewed by others
References
C. Dekker, M. Ratner, Phys. World, August 2001 issue, 29 (2001)
K. Keren, M. Krueger, R. Gilad, G. Ben-Yoseph, U. Sivan, E. Braun, Science 297, 72 (2002)
N.C. Seeman, Nature 421, 427 (2003)
R.G. Endres, D.L. Cox, R.R.P. Singh, Rev. Mod. Phys. 76, 195 (2004)
C.J. Burrows, J.G. Muller, Chem. Rev. 98, 1109 (1998)
J. Cadet, in DNA Adducts: Identification and Significance, edited by K. Hemminki, A. Dipple, D.E.F. Shiker, F.F. Kadlubar, D. Segerback, H. Bartsch (IARC, Lyon, 1994)
P.J. Dandliker, R.E. Holmlin, J.K. Barton, Science 275, 1465 (1997)
S.R. Rajski, B.A. Jackson, J.K. Barton, Mutation Res. 447, 49 (2000)
Y. Zhang, R.H. Austin, J. Kraeft, E.C. Cox, N.P. Ong, Phys. Rev. Lett. 89, 198102 (2002)
A.J. Storm, J. van Noort, S. de Vries, C. Dekker, Appl. Phys. Lett. 79, 3881 (2001)
P.J. de Pablo, F. Moreno-Herrero, J. Colchero, J. Go, Phys. Rev. Lett. 85, 4992 (2000)
K.-H. Yoo, D.H. Ha, J.-O. Lee, J.W. Park, Jinhee Kim, J.J. Kim, H.-Y. Lee, T. Kawai, Han Yong Choi, Phys. Rev. Lett. 87, 198102 (2001)
L. Cai, H. Tabata, T. Kawai, Appl. Phys. Lett. 77, 3105 (2000)
H.W. Fink, C. Schonenberger, Nature 398, 407 (1999)
P. Tran, B. Alavi, G. Gruner, Phys. Rev. Lett. 85, 1564 (2000)
Z. Kutnjak, C. Filipič, R. Podgornik, L. Nordenskiöld, N. Korolev, Phys. Rev. Lett. 90, 098101 (2003)
J.B. MacNaughton, A. Moewes, J.S. Lee, S.D. Wettig, H.-B. Kraatz, L.Z. Ouyang, W.Y. Ching, E.Z. Kurmaev, J. Phys. Chem. B 110, 15742 (2006)
S.S. Mallajosyula, A. Datta, S.K. Pati, Synth. Met. 155, 398 (2005)
P. Maragakis, R.L. Barnett, E. Kaxiras, M. Elstner, T. Frauenheim, Phys. Rev. B 66, 241104 (2002)
A. Rakitin, P. Aich, C. Papadopoulos, Yu. Kobzar, A.S. Vedeneev, J.S. Lee, J.M. Xu, Phys. Rev. Lett. 86, 3670 (2001)
M. Fuentes-Cabrera, B.G. Sumpter, J.C. Wells, J. Phys. Chem. B 109, 21135 (2005)
M. Fuentes-Cabrera, B.G. Sumpter, P. Lipkowski, J.C. Wells, J. Phys. Chem. B 110, 6379 (2006)
M. Fuentes-Cabrera, X. Zhao, P.C. Kent, B.G. Sumpter, J. Phys. Chem. B 111, 9057 (2007)
M.R. Arkin, E.D.A. Stemp, R.E. Holmlin, J.K. Barton, A. Hörmann, E.J.C. Olson, P.F. Barbara, Science 273, 475 (1996)
D.B. Hall, R.E. Holmlin, J.K. Barton, Nature 382, 731 (1996)
D. Porath, A. Bezryadin, S. de Vries, C. Dekker, Nature 403, 635 (2000)
Ch. Adesi, S. Walch, M.P. Anantram, Phys. Rev. B 67, 081405(R) (2003)
Ch. Adesi, M.P. Anantram, Appl. Phys. Lett. 82, 2353 (2003)
S.V. Rakhmanova, E.M. Conwell, J. Phys. Chem. B 105, 2056 (2001)
W. Zhang, A.O. Govorov, S.E. Ulloa, Phys. Rev. B 66, 060303 (2002)
S. Komineas, G. Kalosakas, A.R. Bishop, Phys. Rev. E 65, 061905 (2002)
P. Maniadis, G. Kalosakas, K., Phys. Rev. B 68, 174304 (2003)
M.R. Singh, J. Biomater. Sci. Polym. Edn. 15, 1533 (2004)
G.P. Triberis, C. Simserides, V.C. Karavolas, J. Phys.: Condens. Matter 17, 2681 (2005)
G.P. Triberis, M. Dimakogianni, J. Phys.: Condens. Matter 21, 035114 (2009)
Y.-J. Ye, R.-S. Chen, A. Martinez, P. Otto, J. Ladik, Solid State Commun. 112, 139 (1999)
P.T. Henderson, D. Jones, G. Hampikian, Y. Kan, G.B. Schuster, Proc. Natl. Acad. Sci. U.S.A. 96, 8353 (1999)
R. Bruinsma, G. Grüner, M.R. D'Orsogna, J. Rudnick, Phys. Rev. Lett. 85, 4393 (2000)
G. Kalosakas, K. Rasmussen, A.R. Bishop, J. Chem. Phys. 118, 3731 (2003)
G. Kalosakas, K. Rasmussen, A.R. Bishop, Synth. Met. 141, 93 (2004)
F.C. Grozema, S. Tonzani, Y.A. Berlin, G.C. Schatz, L.D.A. Siebbeles, M.A. Ratner, J. Am. Chem. Soc. 130, 5157 (2008)
P.B. Woiczikowski, T. Kubar, R. Gutierrez, R.A. Caetano, G. Cuniberti, M. Elstner, J. Chem. Phys. 130, 215104 (2009)
E. Meggers, M.E. Michel-Beyerle, B. Giese, J. Am. Chem. Soc. 120, 12950 (1998)
B. Giese, Acc. Chem. Res. 33, 631 (2000)
Y.A. Berlin, A.L. Burin, M.A. Ratner, J. Phys. Chem. A 104, 443 (2000)
Y.A. Berlin, A.L. Burin, M.A. Ratner, J. Am. Chem. Soc. 123, 260 (2001)
Z.G. Yu, X. Song, Phys. Rev. Lett. 86, 6018 (2001)
D. Hennig, Eur. Phys. J. B 30, 211 (2002)
D. Hennig, E.B. Starikov, J.F.R. Archilla, F. Palmero, J. Biol. Phys. 30, 227 (2004)
G. Kalosakas, K.L. Ngai, S. Flach, Phys. Rev. E 71, 061901 (2005)
P. Maniadis, G. Kalosakas, K. Rasmussen, A.R. Bishop, Phys. Rev. E 72, 021912 (2005)
E. Diaz, R.P.A. Lima, F. Dominguez-Adame, Phys. Rev. B 78, 134303 (2008)
L.G.D. Hawke, G. Kalosakas, C. Simserides, Mol. Phys. 107, 1755 (2009)
L.G.D. Hawke, C. Simserides, G. Kalosakas, Mater. Sci. Eng. B 165, 266 (2009)
W.A. Harrison, Electronic Structure and the Properties of Solids, 2nd edition (Dover, New York, 1989)
J.C. Slater, G.F. Koster, Phys. Rev. 94, 1498 (1954)
M. Menon, R.E. Allen, Phys. Rev. B 38, 6196 (1988)
N. Lathiotakis, A.N. Andriotis, Solid State Commun. 87, 871 (1993)
M. Menon, J. Connolly, N. Lathiotakis, A. Andriotis, Phys. Rev. B 50, 8903 (1994)
N. Rosch, A.A. Voityuk, Top. Curr. Chem. 237, 37 (2004)
N.S. Hush, A.S. Cheung, Chem. Phys. Lett. 34, 11 (1975)
G. Lauer, W. Schafer, A. Schweig, Tetrahedron Lett. 45, 3939 (1975)
D. Dougherty, K. Wittel, J. Meeks, S.P. McGlynn, J. Am. Chem. Soc. 98, 3815 (1976)
J. Lin, C. Yu, S. Peng, I. Akiyama, K. Li, L.K. Lee, P.R. LeBreton, J. Am. Chem. Soc. 102, 4627 (1980)
J. Lin, C. Yu, S. Peng, I. Akiyama, K. Li, L.K. Lee, P.R. LeBreton, J. Phys. Chem. 84, 1006 (1980)
S. Urano, X. Yang, P. R. LeBreton, J. Mol. Sruct. 214, 315 (1989)
D. Voet, W.B. Gratzer, R.A. Cox, P. Doty, Biopolymers 1, 193 (1963)
L.B. Clark, G.G. Peschel, I. Tinoco Jr., J. Phys. Chem. 69, 3615 (1965)
D.W. Miles, R.K. Robins, H. Eyring, Proc. Natl. Acad. Sci. U.S.A. 57, 1139 (1967)
T. Yamada, H. Fukutome, Biopolymers 6, 43 (1968)
W. Voelter, R. Records, E. Bunnenberg, C. Djerassi, J. Am. Chem. Soc. 90, 6163 (1968)
A.F. Fucaloro, L.S. Forster, J. Am. Chem. Soc. 93, 6443 (1971)
W.C. Brunner, M.F. Maestre, Biopolymers 14, 555 (1975)
C.A. Sprecher, W.C. Johnson, Biopolymers 16, 2243 (1977)
K. Raksanyi, I. Foldvary, J. Fidy, L. Kittler, Biopolymers 17, 887 (1978)
Y. Matsuoka, B. Norden, J. Phys. Chem. 86, 1378 (1982)
F. Zaloudek, J.S. Novros, L.B. Clark, J. Am. Chem. Soc. 107, 7344 (1985)
L.B. Clark, J. Phys. Chem. 94, 2873 (1990)
A. Holmen, A. Broo, B. Albinsson, B. Norden, J. Am. Chem. Soc. 119, 12240 (1997)
A.O. Colson, B. Besler, D.M. Close, M.D. Sevilla, J. Phys. Chem. 96, 661 (1992)
H. Sugiyama, I. Saito, J. Am. Chem. Soc. 118, 7063 (1996)
M. Hutter, T. Clark, J. Am. Chem. Soc. 118, 7574 (1996)
M.P. Fülscher, B.O. Roos, J. Am. Chem. Soc. 117, 2089 (1995)
J. Lorentzon, M.P. Fülscher, B.O. Roos, J. Am. Chem. Soc. 117, 9265 (1995)
M.P. Fülscher, L. Serrano-Andres, B.O. Roos, J. Am. Chem. Soc. 119, 6168 (1997)
M.K. Shukla, P.C. Mishra, Chem. Phys. 240, 319 (1999)
B. Mennucci, A. Toniolo, J. Tomasi, J. Phys. Chem. A. 105, 4749 (2001)
X. Li, Z. Cai, M.D. Sevilla, J. Phys. Chem. B 105, 10115 (2001)
X. Li, Z. Cai, M.D. Sevilla, J. Phys. Chem. A 106, 9345 (2002)
A.L. Sobolewski, W. Domcke, Eur. Phys. J. D 20, 369 (2002)
N. Ismail, L. Blancafort, M. Olivucci, B. Kohler, M.A. Robb, J. Am. Chem. Soc. 124, 6818 (2002)
M.K. Shukla, J. Leszczynski, J. Phys. Chem. A. 106, 11338 (2002)
M.K. Shukla, J. Leszczynski, J. Comput. Chem. 25, 768 (2004)
D. Varsano, R. Di Felice, M.A.L. Marques, A. Rubio, J. Phys. Chem. B 110, 7129 (2006)
T. Fleig, S. Knecht, C. Hättig, J. Phys. Chem. A 111, 5482 (2007)
H. Zhang, X.Q. Li, P. Ham, X.Y. Yu, Y.J. Yan, J. Chem. Phys. 117, 4578 (2002)
M.K. Shukla, J. Leszczynski, J. Phys. Chem. A 106, 4709 (2002)
T. Cramer, S. Krapf, T. Koslowski, J. Phys. Chem. B 108, 11812 (2004)
R. Di Felice, A. Calzolari, E. Molinari, Phys. Rev. B 65, 045104 (2001)
A.A. Voityuk, J. Jortner, M. Bixon, N. Rösch, J. Chem. Phys. 114, 5614 (2001)
R.G. Endres, D.L. Cox, R.R.P. Singh, arXiv:cond-mat/0201404v2 (2002)
L. Blancafort, A.A. Voityuk, J. Phys. Chem. A 110, 6426 (2006)
A. Migliore, S. Corni, D. Varsano, M.L. Klein, R. Di Felice, J. Phys. Chem. B 113, 9402 (2009)
H. Mehrez, M.P. Anantram, Phys. Rev. B 71, 115405 (2005)
A.A. Voityuk, N. Rösch, M. Bixon, J. Jortner, J. Phys. Chem. B 104, 9740 (2000)
K. Senthilkumar, F.C. Grozema, C.F. Guerra, F.M. Bickelhaupt, F.D. Lewis, Y.A. Berlin, M.A. Ratner, L.D.A. Siebbeles, J. Am. Chem. Soc. 127, 14894 (2005)
T. Kubar, P.B. Woiczikowski, G. Cuniberti, M. Elstner, J. Phys. Chem. B 112, 7937 (2008)
Author information
Authors and Affiliations
Corresponding author
Additional information
An erratum to this article can be found at http://dx.doi.org/10.1140/epje/i2011-11118-4
Rights and permissions
About this article
Cite this article
Hawke, L.G.D., Kalosakas, G. & Simserides, C. Electronic parameters for charge transfer along DNA. Eur. Phys. J. E 32, 291–305 (2010). https://doi.org/10.1140/epje/i2010-10650-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epje/i2010-10650-y