Abstract
Hydrogen bonding interaction of hydronium ion with water molecules in its first and second solvation shell is studied using density functional theory with B3LYP functional and aug-cc-pvtz basis set. The nature of interaction and contribution from various interaction energies to the binding energy of a complex is studied using many-body analysis approach. The hydrogen bonds between hydronium and water molecules in its first solvation shell are stronger than those between water molecules in its second solvation shell. Many-body analysis shows that not only two-body but higher many-body energies up to seven-body interactions are also not negligible whereas eight-, nine-, and ten-body interaction energies are negligible for this complex. The terms containing hydronium ion as one of the many-body components have higher contribution to the respective total many-body interaction energy than those from the terms containing only water molecules. Additive as well as non-additive interactions are attractive and contribute about 58.6 and 44.3 % respectively to the binding energy of a complex.
Similar content being viewed by others
References
Desiraju GR, Steiner T (1999) The weak hydrogen bond in structural chemistry and biology. Oxford University Press, Oxford
Jeffrey GA, Saenger W (1991) Hydrogen bonding in biological structures. Springer, Berlin
Jeffrey GA (1997) An introduction to hydrogen bonding. Oxford University Press, Oxford
Headrick JM, Diken EG, Walters RS, Hammer NI, Christie RA, Cui J, Myshakin EM, Duncan MA, Johnson MA, Jordan KD (2005) Science 308:1765–1769
Gadre SR, Babu K, Rendell AP (2000) J Phys Chem A 104:8976–8982
Kim KS, Tarakeshwar P, Lee JY (2000) Chem Rev 100:4145–4185
Cramer CJ, Truhlar DG (1999) Chem Rev 99:2161–2200
Muller-Dethlefs K, Hobza P (2000) Chem Rev 100:143–167
Lee HM, Suh SB, Lee JY, Tarakeshwar P, Kim KS (2000) J Chem Phys 112:9759–9772
Jena NR, Mishra PC (2005) Theor Chem Acc 114:189–199
Ludwig R (2001) Angew Chem Int Ed 40:1808–1827
Dixit S, Poon W, Crain J (2000) J Phys Condens Matter 12:323–328
Nguyen MT, Matus MH, Jackson VE, Ngan VT, Rustad JR, Dixon DA (2008) J Phys Chem A 112:10386–10398
Buck U, Huisken F (2000) Chem Rev 100:3863–3890
Brutschy B (2000) Chem Rev 100:3891–3920
Singh NJ, Park M, Min SK, Suh SB, Kim KS (2006) Angew Chem Int Ed 45:3795–3800
O’Brien JT, Prell JS, Bush MF, Williams ER (2010) J Am Chem Soc 132:8248–8249
Jiang JC, Wang YS, Chang HC, Lin SH, Lee YT, Niedner-Schatteburg G (2000) J Am Chem Soc 122:1398–1410
Lenz A, Ojamae L (2006) J Phys Chem A 110:13388–13393
Bandow B, Hartke B (2006) J Phys Chem A 110:5809–5822
Chang HC, Wu CC, Kuo JL (2005) Int Rev Phys Chem 24:553–578
Wu C-C, Lin C-K, Chang H-C, Jiang J-C, Kuo J-L, Klein ML (2005) J Chem Phys 122:074315–074325
Bush MF, Saykally RJ, Williams ER (2008) J Am Chem Soc 130:15482–15489
Lisy JM (2006) J Chem Phys 125:132302–132321
Jiang JC, Chang JC, Wang BC, Lin SH, Lee YT, Chang HC (1998) Chem Phys Lett 289:373–382
Buch V, Bauerecker S, Devlin JP, Buck U, Kazimirski JK (2004) Int Rev Phys Chem 23:375–433
Kazimirski JK, Buch V (2003) J Phys Chem A 107:9762–9775
Steinbach C, Andersson P, Kazimirski JK, Buck U, Buch V, Beu TA (2004) J Phys Chem A 108:6165–6174
Miyazaki M, Fujii A, Ebata T, Mikami N (2004) Science 304:1134–1137
Shin JW, Hammer NI, Diken EG, Johnson MA, Walters RS, Jaeger TD, Duncan MA, Christie RA, Jordan KD (2004) Science 304:1137–1140
Kuo J-L, Klein ML (2005) J Chem Phys 122:024516
Singh NJ, Park M, Min SK, Suh SB, Kim KS (2006) Angew Chem 118:3879–3884
Mizuse K, Fujii A, Mikami N (2007) J Chem Phys 126:231101–231104
Douberly GE, Ricks AM, Duncan MA (2009) J Phys Chem A 113:8449–8453
Gruenloh CJ, Carney JR, Arrington CA, Zwier TS, Fredericks SY, Jordan KD (1997) Science 276:1678–1681
Mizuse K, Hamashima T, Fujii A (2009) J Phys Chem A 113:12134–12141
Magnera TF, David DE, Michl J (1991) Chem Phys Lett 182:363–370
Yang X, Zhang X, Castleman AW Jr (1991) Int J Mass Spectrom Ion Process 109:339–354
Wei S, Shi Z, Castleman AW Jr (1991) J Chem Phys 94:3268–3270
Xiao X-D, Vogel V, Shen YR (1989) Chem Phys Lett 163:555–559
Radüge C, Pflumio V, Shen YR (1997) Chem Phys Lett 274:140–144
Okumura M, Yeh LI, Myers JD, Lee YT (1990) J Phys Chem 94:3416–3427
Meot-Ner Mautner M, Scheiner S, Yu WO (1998) J Am Chem Soc 120:6980–6990
Lee S-W, Cox H, Goddard WA, Beauchamp JL (2000) J Am Chem Soc 122:9201–9205
Achatz U, Fox BS, Beyer MK, Bondybey VE (2001) J Am Chem Soc 123:6151–6156
Wei D, Salahub DR (1997) J Chem Phys 106:6086–6094
Kryachko ES (1999) Chem Phys Lett 314:353
Sadhukhan S, Munoz D, Adamo C, Scuseria GE (1999) Chem Phys Lett 306:83–87
Pomes R, Roux B (1996) J Phys Chem 100:2519–2527
Decornez H, Drukker K, Hammes-Schiffer S (1999) J Phys Chem A 103:2891–2898
Brewer ML, Schmitt UW, Voth GA (2001) Biophys J 80:1691–1702
Tsai CJ, Jordan KD (1993) Chem Phys Lett 213:181–188
Xantheas SS (1994) J Chem Phys 100:7523–7534
Xantheas SS (1995) J Chem Phys 102:4505–4517
Xie Y, Remington RB, Schaefer HF III (1994) J Chem Phys 101:4878–4884
Ojamae L, Shavitt I, Singer SJ (1995) Int J Quantum Chem, Quantum Chem Symp 29:657
Lynden-Bell RM, Rasaiah JC (1996) J Chem Phys 105:9266–9280
Lobaugh J, Voth GA (1996) J Chem Phys 104:2056–2069
Pomes R, Roux B (1996) Biophys J 71:19–39
Ojamae L, Shavitt I, Singer SJ (1998) J Chem Phys 109:5547–5564
Singer SJ, McDonald S, Ojamae L (2000) J Chem Phys 112:710
Chaudahri A, Lee S-L (2010) J Theor Comput Chem 9:177–187
Ajay C, Gul Afroz M, Shyi-Long L (2010) J Mol Mod 16:1559–1566
Meraj G, Naganathappa M, Chaudhari A (2012) Int J Quantum Chem 112:1439–1448
Meraj G, Chaudhari A (2014) J Mol Liq 190:1–5
Cristian CV, Ojamae L, Shavitt I, Singer SJ (2000) J Chem Phys 113:5321–5330
Cheng H-P (1998) J Phys Chem A 102:6201–6204
Sadeghi RR, Cheng H-P (1999) J Chem Phys 111:2086–2094
Cheng H-P, Krause JL (1997) J Chem Phys 107:8461–8467
Tuckerman ME, Laasonen K, Sprik M, Parrinello M (1995) J Phys Chem 99:5749–5752
Marx D, Tuckerman ME, Hutter J, Parrinello M (1999) Nat Lond 397:601–604
Banerjee A, Shepard R, Simons J (1980) J Chem Phys 73:1814–1826
Banerjee A, Quigley A, Frey RF, Johnson D, Simons J, Acoust J (1987) Soc Am 109:1038–1043
Kornyshev AA, Kuznetsov AM, Spohr E, Ulstrup J (2003) J Phys Chem B 107:3351–3366
Duff KD, Ashley RH (1992) Virology 190:485–489
Xantheas SS (2000) Chem Phys 258:225–231
Hermansson K (1988) J Chem Phys 89:2149–2159
Milet A, Moszynski R, Wormer Paul ES, van der Avoird A (1999) J Phys Chem A 103:6811–6819
Xantheas SS, Dunning TH Jr (1993) J Chem Phys 99:8774–8792
Kulkarni A, Ganesh V, Gadre SR (2004) J Chem Phys 121:5043–5050
Woo DW (2001) Bull Kor Chem Soc 22:693–698
Hankins D, Moskowitz JW, Stillinger FH (1970) J Chem Phys 53:4544–4554
Mhin BJ, Kim J, Lee S, Lee JY, Kim KS (1994) J Chem Phys 100:4484–4486
Kim J, Lee S, Cho SJ, Mhin BJ, Kim KS (1995) J Chem Phys 102:839–849
Chaudhari A, Sahu PK, Lee SL (2004) J Chem Phys 120:170–174
Chaudhari A, Lee SL (2004) J Chem Phys 120:7464–7469
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Montgomery JA Jr, Vreven T, Kudin KN, Burant JC, Millam JM, Iyengar SS, Tomasi J, Barone V, Mennucci B, Cossi M, Scalmani G, Rega N, Petersson GA, Nakatsuji H, Hada M, Ehara M, Toyota K, Fakuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Klene M Li X, Knox JE, Hratchian HP, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Ayala PY, Morokuma K, Voth GA, Salvador P, Dannenberg JJ, Zakrzewski VG, Dapprich S, Daniels AD, Strain MC, Farkas O, Malick DK, Rabuck AD, Raghavachari K, Foresman JB, Ortiz JV, Cui Q, Baboul AG, Clifford S, Cioslowski J, Strfanov BB, Liu G, Liashenko A, Piskorz P, Komaromi I, Martin RL, Fox DJ, Keith T, Al-Laham MA, Peng CY, Nanayakkara A, Challacombe M, Gill PMW, Johnson B, Chen W, Wong MW, Gonzalez C, Pople JA (2004) Gaussian 03. Gaussian Inc, Wallingford, CT
Acknowledgments
The financial support from University Grants Commission (UGC), New Delhi (India) through Maulana Azad National Fellowship for Minority student (F40-143 (B/M) 2009 (SA-III/MANF) is thankfully Acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Meraj, G.A., Chaudhari, A. Theoretical investigation of hydrogen bonding interaction in H3O+(H2O)9 complex. J Mol Model 20, 2480 (2014). https://doi.org/10.1007/s00894-014-2480-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00894-014-2480-5