Abstract
The nonlinear optical (NLO) properties of N-ethyl dicyanocarbazole (1), N-ethyl cyanoethylacetatecarbazole (2), and N-ethyl dimethylacetatecarbazole (3) are studied with traditional hybrid and long-range corrected (LC) density functional theory (DFT) methods. The carbazoles are predicted to have planar structures with a high degree of π-conjugation and charge transfer, resulting in measurable NLO responses. The DFT data here calculated allow us to refine and correct previously reported experimental hyperpolarizabilities for these compounds. Experimental UV–vis absorption bands (related to hyperpolarizabilities estimated via solvatochromism) are also accurately reproduced by LC-DFT when using gap fitting schemes. The effects of different functionals on the HOMO–LUMO energy gaps and eventually on the total hyperpolarizabilities are discussed.
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Weinberger P (2008) Philos Mag Lett 88:897
Hirshberg Y (1956) J Am Chem Soc 78:2304
Maiman TH (1960) Nature 187:439
Franken PA, Hill AE, Peters CW, Weinreich G (1961) Phys Rev Lett 7:118
Marder SR, Sohn JE, Stucky GD (1991) Materials for non-linear optics: chemical perspectives, ACS symposium series 45, Washington, DC
Boyd RW (1992) Nonlinear optics. Academic Press, New York
Marder SR (2006) Chem Commun 2:131
Irie M (2000) Chem Rev 100:1685
Kawata S, Kawata Y (2000) Chem Rev 100:1777
Tian H, Yang S (2004) Chem Soc Rev 33:85
Dvornikov AS, Walker EP, Rentzepis PM (2009) J Phys Chem A 113:13633
Sekino H, Bartlett RJ (1993) J Chem Phys 98:3022
Norman P, Ruud K (2006) Microscopic theory of nonlinear optics. In: Papadopoulos MG, Sadlej AJ, Leszczynski J (eds) Nonlinear optical properties of matter: from molecules to condensed phases. Springer, The Netherlands
Cramer CJ (2004) Essentials of computational chemistry, 2nd edn. Wiley, England
Bishop DM, Kirtman B (1991) J Chem Phys 95:2646
Brédas JL, Adant C, Tackx P, Persoons A, Pierce BM (1994) Chem Rev 94:243
Savin A, Flad H (1995) Int J Quantum Chem 56:327
Iikura H, Tsuneda T, Yanai T, Hirao K (2001) J Chem Phys 115:3540
Yanai T, Tew DP, Handy NC (2004) Chem Phys Lett 393:51
Vydrov OA, Heyd J, Krukau AV, Scuseria GE (2006) J Chem Phys 125:074106
Vydrov OA, Scuseria GE (2006) J Chem Phys. 125:234109
Jacquemin D, Perpète EA, Vydrov OA, Scuseria GE, Adamo C (2007) J Chem Phys 127:094102
Champagne B, Perpete EA, van Gisbergen SJA, Baerends EJ, Snijders JG, Soubra-Ghaoui C, Robins KA, Kirtman B (1998) J Chem Phys 109:10489
Champagne B, Perpete EA, Jacquemin D, van Gisbergen SJA, Baerends EJ, Soubra-Ghaoui C, Robins KA, Kirtman B (2000) J Chem Phys 104:4755
Loboda O, Zaleśny R, Avramopoulos A, Luis JM, Kirtman B, Tagmatarchis N, Reis H, Papadopoulos MG (2009) J Phys Chem A 113:1159
van Faassen M, de van BoeijR. Leeuwen PL, Berger JA, Snijders JG (2003) J. Chem. Phys. 118:1044
Kirtman B, Lacivita V, Dovesi R, Reis H (2011) J Chem Phys 135:154101
Tawada Y, Tsuneda T, Yanagisawa S, Yanai T, Hirao K (2004) J Chem Phys 120:8425
Kamiya M, Sekino H, Tsuneda T, Hirao K (2005) J Chem Phys 122:234111
Jacquemin D, Perpète EA, Scuseria GE, Ciofini I, Adamo C (2008) J Chem Theory Comput 4:123
Perpète EA, Jacquemin D, Adamo C, Scuseria GE (2008) Chem Phys Lett 456:101
Jacquemin D, Perpète EA, Scuseria GE, Ciofini I, Adamo C (2008) Chem Phys Lett 465:226
Song J, Watson MA, Sekino H, Hirao K (2008) J Chem Phys 129:024117
Zaleśny R, Bulik IW, Bartkowiak W, Luis JM, Avramopoulos A, Papadopoulos MG, Krawczyk P (2010) J Chem Phys 133:244308
de Wergifosse M, Champagne B (2011) J Chem Phys 134:074113
Jacquemin D, Perpète EA, Medved M, Scalmani G, Frisch MJ, Kobayashi R, Adamo C (2007) J Chem Phys 126:191108
Nguyen KA, Rogers JE, Slagle JE, Day PN, Kannan R, Tan L, Fleitz PA, Pachter R (2006) J Phys Chem A 110:13172
Garza AJ, Scuseria GE, Khan SB, Asiri AM (2013) Chem Phys Lett 575:122
Oudar JL, Chemla DS (1977) J Chem Phys 66:2664
Hurst M, Munn RW (1989) Theory of molecular opto-electronics. VI. Comparison between nitroanilines. In: Hann RA, Bloor D (eds) Organic materials for nonlinear optics. The Royal Society of Chemistry, London
Kanis DR, Ratner MA, Marks TJ (1994) Chem Rev 94:195
Ramakrishna G, Goodson T III (2007) J Phys Chem A 111:993
Chakrabarti S, Ruud K (2009) Phys Chem Chem Phys 11:2592
Asiri AM, Khan SA, Al-Amoudi MS, Alamry KA (2012) Bull Korean Chem Soc 33(6):1900
Paley MS, Harris JM (1989) J Org Chem 54:3774
Deguan L, Ratner MA (1988) J Am Chem Soc 110:1707
Song H, Chem Y, Zheng X, Ying B (2001) Spectrochim Acta Part A 57:1717
Reis H (2006) J Chem Phys 125:014506
Willets A, Rice JE, Burland DM, Shelton D (1992) J Chem Phys 97:7590
Stäehlin M, Moylan CR, Burland DM, Willets A, Rice JE, Shelton DP, Donley EA (1993) J Chem Phys 98:5595
Le Bahers T, Adamo C, Ciofini I (2011) J Chem Theory Comput 7:2498
Frisch MJ, Trucks GW, Schlegel HB et al (2009) Gaussian 09, revision A.02. Gaussian Inc., Wallingford
Suponitsky KY, Tafur S, Masunov AE (2008) J Chem Phys 129:044109
Dennington R, Keith T, Millam J (2009) GaussView, version 5. Semichem Inc., Shawnee Mission KS
Tomasi J, Mennucci B, Cammi R (2005) Chem Rev 105:2999
Kaatz P, Donley EA, Shelton DP (1997) J Chem Phys 108:849
Sim F, Chin S, Dupuis M, Rice JE (1993) J Phys Chem 97:1158
Thanthiriwatte KS, Nalinde Silva KM (2002) Theochem 617:169
Perdew JP, Parr RG, Levy M, Balduz JL (1982) Phys Rev Lett 49:1691
Kleinman L (1997) Phys Rev B 56:12042
Perdew JP, Levy M (1997) Phys Rev B 56:16021
Kleinman L (1997) Phys Rev B 56:16029
Garza AJ, Osman OI, Scuseria GE, Wazzan NA, Khan SB, Asiri AM (2013) Theor Chem Acc 132:1384
Garza AJ, Osman OI, Scuseria GE, Wazzan NA, Khan SB, Asiri AM (2013) Comp Theor Chem 1022:82
Terranova U, Bowler DR (2013) J Chem Theory Comput 9:3181
Lippert E (1955) Z Naturforsch 10:541
Siddlingeshwar B, Hanagodimath SM (2009) Spectrochim Acta Part A Mol Biomol Spectrosc 72:490
Bakhshiev NG (1964) Opt Spektrosk 16:821
Kawski A, Bilot L (1964) Acta Phys Pol 26:41
Kawski A (1966) Acta Phys Pol 29:507
Chamma A, Viallet P (1970) CR Acad Sci Paris Ser C 270:1901
Raikar US, Renuka CG, Nadaf YF, Mulimani BG, Karguppikar AM, Soudagar MK (2006) Spectrochim Acta Part A Mol Biomol Spectrosc 65:673
Stein T, Kronik L, Baer R (2009) J Am Chem Soc 131:2818
Stein T, Kronik L, Baer R (2009) J Chem Phys 131:244119
Karolewski A, Stein T, Kümmel S (2011) J Chem Phys 134:151101
Pandey L, Doiron C, Sears JS, Brédas J (2012) Phys Chem Chem Phys 14:14243
Acknowledgments
This work was funded by King Abdulaziz University, under Grant No. (21-3-1432/HiCi). The authors, therefore, acknowledge technical and financial support of KAU.
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Garza, A.J., Osman, O.I., Wazzan, N.A. et al. A computational study of the nonlinear optical properties of carbazole derivatives: theory refines experiment. Theor Chem Acc 133, 1458 (2014). https://doi.org/10.1007/s00214-014-1458-9
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DOI: https://doi.org/10.1007/s00214-014-1458-9