Abstract
Accurate calculations of the dipole moment and the polarizability for the ground and two lowest singlet and triplet excited states of benzonitrile (BN) have been performed by a variety of wave function and density functional theory (DFT) methods. Changes in molecular properties upon the electron excitation strongly depend on the character of an excited state. The vertical dipole moment change and the excess polarizability for the 11B state are smaller than those for the 21A state. In order to estimate adiabatic excited-state properties, corresponding relaxed geometries have been obtained using the PBE0 functional with the aug-cc-pVTZ basis set. The excited-state property values obtained with the long-range exchange corrected DFT methods are in general closer to the coupled cluster (CC) results, although the hybrid DFTs also provide reasonable predictions. Our CCSD adiabatic excess dipole moment value for the 11B state equal to 0.11 D is in excellent agreement with the experimental value. The 21A state appears to be more sensitive to selected method due to an important role of double-excitation effects. Solvent effects on dipole moment and polarizability of BN molecule in its ground and excited states were evaluated using both LR and cLR methods combined with the (TD-)CAMB3LYP/POL approach.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00214-015-1678-7/MediaObjects/214_2015_1678_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00214-015-1678-7/MediaObjects/214_2015_1678_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00214-015-1678-7/MediaObjects/214_2015_1678_Fig3_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00214-015-1678-7/MediaObjects/214_2015_1678_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00214-015-1678-7/MediaObjects/214_2015_1678_Fig5_HTML.gif)
Similar content being viewed by others
References
Prasad PN, Williams DJ (1991) Introduction to nonlinear optical effects in molecules and polymers. Wiley, New York
Kanis DR, Ratner MA, Marks TJ (1994) Chem Rev 94:195–242
She CX, Easwaramoorthi S, Kim P, Hiroto S, Hisaki I, Shinokubo H, Osuka A, Kim D, Hupp JT (2010) J Phys Chem A 114:3384–3390
Urban M, Sadlej AJ (1990) Theor Chim Acta 78:189–201
Klein S, Kochanski E, Strich A, Sadlej AJ (1996) Theor Chim Acta 94:75–91
Palenikova J, Kraus M, Neogrady P, Kello V, Urban M (2008) Mol Phys 106:2333–2344
Pasteka LF, Melichercik M, Neogrady P, Urban M (2012) Mol Phys 110:2219–2237
Bublitz GU, Boxer SG (1997) Annu Rev Phys Chem 48:213–242
Boxer SG (2009) J Phys Chem B 113:2972–2983
Premvardhan LL, Peteanu LA (2002) J Photochem Photobiol A 154:69–79
Casida ME, Huix-Rotllant M (2012) Annu Rev Phys Chem 63:287–323
Pluta T, Kolaski M, Medveď M, Budzak S (2012) Chem Phys Lett 546:24–29
Grozema FC, Telesca R, Jonkman HT, Siebbeles LDA, Snijders JG (2001) J Chem Phys 115:10014–10021
Grozema FC, Telesca R, Snijders JG, Siebbeles LDA (2003) J Chem Phys 118:9441–9446
Borst DR, Korter TM, Pratt DW (2001) Chem Phys Lett 350:485–490
Kawski A, Kuklinski B, Bojarski P (2006) Chem Phys Lett 419:309–312
Demeter A, Zachariasse KA (2008) J Phys Chem A 112:1359–1362
Becke AD (1988) Phys Rev A 38:3098–3100
Lee CT, Yang WT, Parr RG (1988) Phys Rev B 37:785–789
Becke AD (1993) J Chem Phys 98:1372–1377
Stephens PJ, Devlin FJ, Chabalowski CF, Frisch MJ (1994) J Phys Chem-Us 98:11623–11627
Adamo C, Barone V (1999) J Chem Phys 110:6158–6170
Yanai T, Tew DP, Handy NC (2004) Chem Phys Lett 393:51–57
Chai JD, Head-Gordon M (2008) J Chem Phys 128:084106
Tawada Y, Tsuneda T, Yanagisawa S, Yanai T, Hirao K (2004) J Chem Phys 120:8425–8433
Zhao Y, Truhlar DG (2008) Theor Chem Acc 120:215–241
Roos BO (2007) The complete active space self-consistent field method and its applications in electronic structure calculations. Adv Chem Phys. doi:10.1002/9780470142943
Andersson K, Malmqvist PA, Roos BO, Sadlej AJ, Wolinski K (1990) J Phys Chem 94:5483–5488
Andersson K, Malmqvist PÅ, Roos BO (1992) J Chem Phys 96:1218–1226
Dunning TH (1989) J Chem Phys 90:1007–1023
Guido CA, Jacquemin D, Adamo C, Mennucci B (2010) J Phys Chem A 114:13402–13410
Sadlej AJ (1988) Collect Czechoslov Chem Commun 53:1995–2016
Benkova Z, Cernusak I, Zahradnik P (2006) Mol Phys 104:2011–2026
Jacquemin D, Wathelet V, Perpete EA, Adamo C (2009) J Chem Theory Comput 5:2420–2435
Iikura H, Tsuneda T, Yanai T, Hirao K (2001) J Chem Phys 115:3540–3544
Silva MR, Schreiber M, Sauer SPA, Thiel W (2008) J Chem Phys 129:104103
Jacquemin D, Perpete EA, Ciofini I, Adamo C, Valero R, Zhao Y, Truhlar DG (2010) J Chem Theory Comput 6:2071–2085
Christiansen O, Halkier A, Koch H, Jorgensen P, Helgaker T (1998) J Chem Phys 108:2801–2816
Aidas K, Angeli C, Bak KL, Bakken V, Bast R, Boman L, Christiansen O, Cimiraglia R, Coriani S, Dahle P, Dalskov EK, Ekstrom U, Enevoldsen T, Eriksen JJ, Ettenhuber P, Fernandez B, Ferrighi L, Fliegl H, Frediani L, Hald K, Halkier A, Hattig C, Heiberg H, Helgaker T, Hennum AC, Hettema H, Hjertenaes E, Host S, Hoyvik IM, Iozzi MF, Jansik B, Jensen HJA, Jonsson D, Jorgensen P, Kauczor J, Kirpekar S, Kjrgaard T, Klopper W, Knecht S, Kobayashi R, Koch H, Kongsted J, Krapp A, Kristensen K, Ligabue A, Lutnaes OB, Melo JI, Mikkelsen KV, Myhre RH, Neiss C, Nielsen CB, Norman P, Olsen J, Olsen JMH, Osted A, Packer MJ, Pawlowski F, Pedersen TB, Provasi PF, Reine S, Rinkevicius Z, Ruden TA, Ruud K, Rybkin VV, Salek P, Samson CCM, de Meras AS, Saue T, Sauer SPA, Schimmelpfennig B, Sneskov K, Steindal AH, Sylvester-Hvid KO, Taylor PR, Teale AM, Tellgren EI, Tew DP, Thorvaldsen AJ, Thogersen L, Vahtras O, Watson MA, Wilson DJD, Ziolkowski M, Agren H (2014) Wires Comput Mol Sci 4:269–284
Christiansen O, Koch H, Jorgensen P (1995) Chem Phys Lett 243:409–418
Zilberg S, Haas Y (2002) J Phys Chem A 106:1–11
Sobolewski AL, Domcke W (1996) Chem Phys Lett 250:428–436
Rutishauser H (1963) Matematik 5:48–54
Medved M, Stachova M, Jacquemin D, Andre JM, Perpete EA (2007) J Mol Struct Theochem 847:39–46
Amovilli C, Barone V, Cammi R, Cances E, Cossi M, Mennucci B, Pomelli CS, Tomasi J (1999) Adv Quantum Chem 32:227–261
Tomasi J, Mennucci B, Cammi R (2005) Chem Rev 105:2999–3093
Cammi R, Mennucci B, Tomasi J (2000) J Phys Chem A 104:4690–4698
Illien B, Evain K, Le Guennec M (2003) J Mol Struct Theochem 630:1–9
Benassi E, Egidi F, Barone V (2015) J Phys Chem B 119:3155–3173
Sylvester-Hvid KO, Mikkelsen KV, Norman P, Jonsson D, Ågren H (2004) J Phys Chem A 108:8961–8965
Cammi R, Mennucci B (1999) J Chem Phys 110:9877–9886
Cossi M, Barone V (2001) J Chem Phys 115:4708–4717
Caricato M, Mennucci B, Tomasi J, Ingrosso F, Cammi R, Corni S, Scalmani G (2006) J Chem Phys 124:124520
Schmidt MW, Baldridge KK, Boatz JA, Elbert ST, Gordon MS, Jensen JH, Koseki S, Matsunaga N, Nguyen KA, Su SJ, Windus TL, Dupuis M, Montgomery JA (1993) J Comput Chem 14:1347–1363
Gordon MS, Schmidt MW (2005) Chapter 41: advances in electronic structure theory: GAMESS a decade later. In: Dykstra CE, Frenking G, Kim KS, Scuseria GE (eds) Theory and applications of computational chemistry. Elsevier, Amsterdam, pp 1167–1189. doi:10.1016/B978-044451719-7/50084-6
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Scalmani G, Barone V, Mennucci B, Petersson GA, Nakatsuji H, Caricato M, Li X, Hratchian HP, Izmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery Jr. JA, Peralta JE, Ogliaro F, Bearpark MJ, Heyd J, Brothers EN, Kudin KN, Staroverov VN, Kobayashi R, Normand J, Raghavachari K, Rendell AP, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam NJ, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S, Daniels AD, Farkas Ö, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ (2009) Gaussian 09 A.1. Gaussian, Inc., Wallingford, CT
Aquilante F, De Vico L, Ferré N, Ghigo G, Malmqvist PÅ, Neogrády P, Pedersen TB, Pitoňák M, Reiher M, Roos BO, Serrano-Andrés L, Urban M, Veryazov V, Lindh R (2010) J Comput Chem 31:224–247
Lide DR (1954) J Chem Phys 22:1577–1578
Wohlfart K, Schnell M, Grabow JU, Kupper J (2008) J Mol Spectrosc 247:119–121
Lide DR (ed) (1993) Handbook of chemistry and physics, 73rd edn. CRC Press, Boca Raton
Le Fevre CG, Le Fevre RJW (1954) J Chem Soc 1954:1577–1588
Le Fevre RJW, Orr BJ, Ritchie GLD (1965) J Chem Soc 1965:2499–2505
Alvarado YJ, Labarca PH, Cubillan N, Osorio E, Karam A (2003) Z Naturforsch A 58:68–74
Peach MJG, Benfield P, Helgaker T, Tozer DJ (2008) J Chem Phys 128:044118
Reed AE, Weinstock RB, Weinhold F (1985) J Chem Phys 83:735–746
Borst DR, Pratt DW, Schaeffer M (2007) Phys Chem Chem Phys 9:4563–4571
Winter NOC, Graf NK, Leutwyler S, Hattig C (2013) Phys Chem Chem Phys 15:6623–6630
Huang KT, Lombardi JR (1971) J Chem Phys 55:4072–4076
Muirhead AR, Hartford A, Huang KT, Lombardi JR (1972) J Chem Phys 56:4385–4393
Alvarado YJ, Cubillan N, Labarca PH, Karam A, Arrieta F, Castellano O, Soscún H (2002) J Phys Org Chem 15:154–164
Alvarado YJ, Soscún H, Velazco W, Labarca PH, Cubillan N, Hernández J (2002) J Phys Org Chem 15:835–843
Mennucci B, Tomasi J, Cammi R, Cheeseman JR, Frisch MJ, Devlin FJ, Gabriel S, Stephens PJ (2002) J Phys Chem A 106:6102–6113
Chibani S, Budzak S, Medved M, Mennucci B, Jacquemin D (2014) Phys Chem Chem Phys 16:26024–26029
Chibani S, Laurent AD, Blondel A, Mennucci B, Jacquemin D (2014) J Chem Theory Comput 10:1848–1851
Jacquemin D, Chibani S, Le Guennic B, Mennucci B (2014) J Phys Chem A 118:5343–5348
Improta R, Barone V (2009) J Mol Struct Theochem 914:87–93
Budzak S, Medveď M, Mennucci B, Jacquemin D (2014) J Phys Chem A 118:5652–5656
Acknowledgments
This work has been supported by the project “Mobilities - enhancing research, science and education at the Matej Bel University,” ITMS code: 26110230082, under the Operational Program Education financed by the European Social Fund. Part of the computations was performed in the HPC Centers of the Matej Bel University in Banská Bystrica and the Slovak Academy of Sciences in Žilina using the HPC infrastructure acquired in project ITMS 26230120002 and 26210120002 (Slovak infrastructure for high-performance computing) supported by the Research & Development Operational Programme funded by the ERDF. T.P. acknowledges the computational grants from the Supercomputer and Networking Center ACK CYFRONET AGH in Krakow, Poland (MNiSW/Zeus_lokalnie/UŚląski/011/2014), and from the Wroclaw Centre for Networking and Supercomputing, in Wrocław, Poland.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Medveď, M., Budzák, Š. & Pluta, T. Electric properties of the low-lying excited states of benzonitrile: geometry relaxation and solvent effects. Theor Chem Acc 134, 78 (2015). https://doi.org/10.1007/s00214-015-1678-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00214-015-1678-7