Abstract
Nuclear quantum effect and thermal effect on deprotonated hydrogen sulfide dimer anion \({\text{H}}_{3} {\text{S}}_{2}^{-}\), composed of a second row element, are widely explored by ab initio on-the-fly path integral molecular dynamics simulation. At low temperature, the hydrogen-bonded proton tends to be diffusively located at the central position between two sulfur atoms, which is the typical characteristic feature of so-called low-barrier hydrogen bond (LBHB). This is the first case of the LBHB systems composed of the second row elements, although the hydrogen-bonded distance in \({\text{H}}_{3} {\text{S}}_{2}^{-}\) (over 3.4 Å) is much longer than the previously reported LBHB composed of first row elements (<2.5 Å). At high temperature, the distance between two sulfur atoms is longer than that at low temperature, and the hydrogen-bonded proton localizes to each sulfur atom. Similar tendency is obtained in the deuterated \({\text{D}}_{3} {\text{S}}_{2}^{-}\) species at all temperature. Analyzing the relationship between the position of the hydrogen-bonded proton and the quantum fluctuation effect of the proton, we elucidate that the LBHB is induced by the quantum tunneling at low temperature, while such trend becomes weak and the character of LBHB vanishes at room temperature for \({\text{H}}_{3} {\text{S}}_{2}^{-}\).
Similar content being viewed by others
References
Jeffrey GA (1997) An introduction to hydrogen bonding. Topics in physical chemistry. A series of advanced textbooks and monographs. Oxford University Press, New York
Steiner T (2002) Angew Chem Int Ed 41:48
Perrin CL, Nielson JB (1997) Annu Rev Phys Chem 48:511
Kohen A, Limbach H-H (2006) Isotope effects in chemistry and biology. CRC Press, Taylor and Francis group, Boca Raton
Emsley J (1980) Chem Soc Rev 9:91
Gilli G, Gilli P (2000) J Mol Struct 552:1
Gerlt JA, Kreevoy MM, Cleland WW, Frey PA (1997) Chem Biol 4:259
Robertson WH, Johnson MA (2003) Annu Rev Phys Chem 54:173
Robertson WH, Diken EG, Price EA, Shin JW, Johnson MA (2003) Science 299:1367
Day VW, Hossain A, Kang SO, Powell D, Lushington G, Bowman-James K (2007) J Am Chem Soc 129:8692
Yamaguchi S, Kamikubo H, Kurihara K, Kuroki R, Niimura N, Shimizu N, Yamazaki Y, Kataoka M (2009) PNAS 106:440
Schiøtt B, Iversen BB, Madsen GKH, Larsen FK, Bruice TC (1998) PNAS 95:12799
Cleland WW, Kreevoy MM (1994) Science 264:1887
Ogata Y, Daido M, Kawashima Y, Tachikawa M (2013) Rsc Adv 3:25252
Kanematsu Y, Tachikawa M (2014) J Chem Phys 141:185101
Tachikawa M, Shiga M (2005) J Am Chem Soc 127:11908
Ogata Y, Kawashima Y, Takahashi K, Tachikawa M (2014) Theor Chem Acc 134:25252
Ishibashi H, Hayashi A, Shiga M, Tachikawa M (2008) ChemPhysChem 9:383
Samson CCM, Klopper W (2002) J Mol Struct Theochem 586:201
McCoy AB, Huang XC, Carter S, Bowman JM (2005) J Chem Phys 123:064317
Yang Y, Kühn O (2008) Z Phys Chem 222:1375
Asmis KR, Yang YG, Santambrogio G, Brümmer M, Roscioli JR, McCunn LR, Johnson MA, Kühn O (2007) Angew Chem Int Ed 46:8691
Yang Y, Kühn O, Santambrogio G, Goebbert DJ, Asmis KR (2008) J Chem Phys 129:224302
Yang YG, Kühn O (2011) Chem Phys Lett 505:1
Kawashima Y, Tachikawa M (2014) J Chem Theory Comput 10:153
McDaniel DH, Valleé RE (1963) Inorg Chem 2:996
Schroeder LW, Ibers JA (1968) Inorg Chem 7:594
McGaw BL, Ibers JA (1963) J Chem Phys 39:2677
Blinc R (1958) Nature 182:1016
McDaniel DH, Evans WG (1966) Inorg Chem 5:2180
Sabin JR (1971) J Chem Phys 54:4675
Sabin JR (1971) J Chem Phys 55:5423
Scheiner S (1994) Theochem J Mol Struct 113:65
Szczęśniak MM, Scheiner S (1982) J Chem Phys 77:4586
Huang XC, Braams BJ, Carter S, Bowman JM (2004) J Am Chem Soc 126:5042
Tuckerman ME, Marx D, Klein ML, Parrinello M (1997) Science 275:817
Ceriotti M, Cuny J, Parrinello M, Manolopoulos DE (2013) PNAS 110:15591
Abu-Dari K, Raymond KN, Freyberg DP (1979) J Am Chem Soc 101:3688
Feynman RP, Hibbs AR (1965) Quantum mechanics and path integrals. McGraw-Hill Inc, New York
Gillan MJ (1990) In: Catlow CRA, Parker SC, Allen MP (eds) The path-integral simulation of quantum systems in computer modeling of fluids polymers and solids. Kluwer Academic Publishers, Bath, p 155
Altland A, Simons B (2006) Condensed matter field theory. Cambridge University Press, New York
Coleman S (1985) Aspects of symmetry. Cambridge University Press, New York
Nakamura H, Mil’nikov G (2014) Quantum mechanical tunneling in chemical physics. CRC Press, Boca Raton
Herman MF, Bruskin EJ, Berne BJ (1982) J Chem Phys 76:5150
Schmidt JR, Tully JC (2007) J Chem Phys 127:094103
Suzuki K, Tachikawa M, Shiga M (2010) J Chem Phys 132:144108
Tuckerman ME, Berne BJ, Martyna GJ, Klein ML (1993) J Chem Phys 99:2796
Martyna GJ, Hughes A, Tuckerman ME (1999) J Chem Phys 110:3275
Marx D, Parrinello M (1996) J Chem Phys 104:4077
Cao J, Berne BJ (1993) J Chem Phys 99:2902
Cao J, Martyna GJ (1996) J Chem Phys 104:2028
Shiga M, Tachikawa M, Miura S (2001) J Chem Phys 115:9149
Makri N, Sim EJ, Makarov DE, Topaler M (1996) PNAS 93:3926
Benoit M, Marx D, Parrinello M (1998) Nature 392:258
Suzuki K, Shiga M, Tachikawa M (2008) J Chem Phys 129:144310
Martyna GJ, Klein ML, Tuckerman M (1992) J Chem Phys 97:2635
Kawashima Y, Suzuki K, Tachikawa M (2013) J Phys Chem A 117:5205
Becke AD (1988) Phys Rev A 38:3098
Becke AD (1993) J Chem Phys 98:5648
Lee CH, Yang W, Parr RG (1988) Phys Rev B 37:785
Vahtras O, Almlöf J, Feyereisen MW (1993) Chem Phys Lett 213:514
Feyereisen M, Fitzgerald G, Komornicki A (1993) Chem Phys Lett 208:359
Weigend F, Häser M, Patzelt H, Ahlrichs R (1998) Chem Phys Lett 294:143
Ahlrichs R, Bär H, Häser H, Horn H, Kölmel C (1989) Chem Phys Lett 208:359
Weigend F, Köhn A, Hättig C (2002) J Chem Phys 116:3175
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 JA Jr, Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam JM, 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, revision C. 1. Gaussian Inc, Wallingford
McQuarrie DA, Simon JD (1997) Physical chemistry: a molecular approach. University Science Books, Sausalito
Wilson EB Jr, Decius JC, Cross PC (1980) Molecular vibrations: the theory of infrared and Raman vibrational spectra. Dover Publications Inc, New York
Acknowledgments
This work is partly supported by Grants-in-Aid for Scientific Research (KAKENHI) of the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Grant Numbers 26620013, 26102539, and 15KT0067 for MT, and the Strategic Programs for Innovative Research (SPIRE), MEXT, and the Computational Materials Science Initiative (CMSI), Japan. Theoretical calculations were partly performed at the Research Center for Computational Science, Institute for Molecular Science, Japan and Center of Computational Materials Science, Institute for Solid State Physics, The University of Tokyo, Japan.
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Ogata, Y., Kawatsu, T. & Tachikawa, M. Can low-barrier hydrogen bond exist in systems with second row elements? An ab initio path integral molecular dynamics study for deprotonated hydrogen sulfide dimer. Theor Chem Acc 135, 200 (2016). https://doi.org/10.1007/s00214-016-1958-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00214-016-1958-x