Abstract
The double proton transfer process in the cyclic dimer of propionic acid in the gas phase was studied using a path integral molecular dynamics method. Structures, energies and proton trajectories were determined. Very large amplitude motions of the skeleton of a propionic acid molecule were observed during the simulations, and almost free rotation of the C2H5 group around the Cα-C bond. A double-well symmetric potential with a very small energy barrier was determined from the free energy profile for the proton motions. Infrared spectra for different isotopomers were calculated, and comparative vibrational analysis was performed. The vibrational results from CPMD appear to be in qualitative agreement with the experimental ones.
Similar content being viewed by others
Abbreviations
- CPMD:
-
Car–Parrinello molecular dynamics
- DFT:
-
Density functional theory
- DPT:
-
Double proton transfer
- IR:
-
Infrared spectrum
- ISR:
-
Isotopic ratio
- MP2:
-
Second-order Møller–Plesset perturbation method
- UV:
-
Ultraviolet spectroscopy
- PBE:
-
Perdew–Burke–Ernzerhof generalized gradient functional
- PIMD:
-
Path integral molecular dynamics
- PI8:
-
Eight polymer-bead model
- PI16:
-
Sixteen polymer-bead model
- SPT:
-
Single proton transfer
References
Pérez A, Tuckerman EA, Hjalmarson HP, von Lilienfeld OA (2010) Enol tautomers of Watson–Crick base pair models are metastable because of nuclear quantum effects. J Am Chem Soc 132:11510–11515
Maréchal Y (2007) The hydrogen bond and the water molecule. Elsevier, Amsterdam
Shida N, Barbara PF, Almlöf J (1991) A reaction surface Hamiltonian treatment of the double proton transfer of formic acid dimer. J Chem Phys 94:3633–3643
Miura S, Tuckerman ME, Klein ML (1998) An ab initio path integral molecular dynamics study of double proton transfer in the formic acid dimer. J Chem Phys 109:5290–5299
Loerting T, Liedl KR (1998) Toward elimination of discrepancies between theory and experiment: double proton transfer in dimers of carboxylic acids. J Am Chem Soc 120:12595–12600
Ushiyama H, Takatsuka K (2001) Successive mechanism of double-proton transfer in formic acid dimer: a classical study. J Chem Phys 115:5903–5912
Madeja F, Havenith M (2002) High resolution spectroscopy of carboxylic acid in the gas phase: observation of proton transfer in (DCOOH)2. J Chem Phys 117:7162–7168
Emmeluth C, Suhm MA, Luckhaus D (2003) A monomers-in-dimers model for carboxylic acid dimers. J Chem Phys 118:2242–2255
Nibbering ETJ, Elsaesser T (2004) Ultrafast vibrational dynamics of hydrogen bonds in the condensed phase. Chem Rev 104:1887–1914
Heyne K, Huse N, Dreyer J, Nibbering ETJ, Elsaesser T, Mukamel S (2004) Coherent low-frequency motions of hydrogen bonded acetic acid dimers in the liquid phase. J Chem Phys 121:902–913
Huse N, Bruner BD, Covan ML, Drexer J, Nibbering ETJ, Miller RJD, Elsaesser T (2005) Anharmonic couplings underlying the ultrafast vibrational dynamics of hydrogen bonds in liquids. Phys Rev Lett 95(147402):1–4
Dreyer J (2005) Hydrogen-bonded acetic acid dimers: anharmonic coupling and linear infrared spectra studied with density-functional theory. J Chem Phys 122:184306
Benmalti ME-A, Blaise P, Flakus HT, Henri-Rousseau O (2006) Theoretical interpretation of the infrared lineshape of liquid and gaseous acetic acid. Chem Phys 320:267–274
Elsaesser T (2009) Two-dimensional infrared spectroscopy of intermolecular hydrogen bonds in the condensed phase. Acc Chem Res 42:1220–1228
Sander W, Gantenberg M (2005) Aggregation of acetic and propionic acid in argon matrices—a matrix isolation and computational study. Spectrochim Acta A 62:902–909
Hu YJ, Fu HB, Bernstein ER (2006) IR plus vacuum ultraviolet spectroscopy of neutral and ionic organic acid monomers and clusters: propanoic acid. J Chem Phys 125:184309
Koller FO, Huber M, Schrader TE, Schreier WJ, Zinth W (2007) Ultrafast vibrational excitation transfer and vibrational cooling of propionic acid dimer investigated with IR-pump IR-probe spectroscopy. Chem Phys 341:200–206
Strieter FJ, Templeton DH, Scheuerman RF, Sass RL (1962) The crystal structure of propionic acid. Acta Cryst 15:1233–1239
Durlak P, Morrison CA, Middlemiss DS, Latajka Z (2007) Car–Parrinello and path integral molecular dynamics study of the hydrogen bond in the chloroacetic acid dimer system. J Chem Phys 127:064304–064311
Dopieralski P, Latajka Z, Olovsson I (2009) Proton distribution in KHCO3 from ab initio molecular dynamics simulation. Chem Phys Lett 476:223–226
Dopieralski P, Panek J, Latajka Z (2009) First-principles investigation of isomerization by proton transfer in β-fumaric acid crystal. J Chem Phys 130:164517
Durlak P, Latajka Z (2009) Car-Parrinello and path integral molecular dynamics study of the intramolecular hydrogen bond in the novel class of anionic H-chelates: 6-nitro-2,3-dipyrrol-2-ylquinoxaline anion. Chem Phys Lett 480:173–177
Yaremko AM, Ratajczak H, Barnes AJ, Baran J, Durak P, Latajka Z (2009) Fermi resonance and strong anharmonic effects in the absorption spectra of the ν-OH (ν-OD) vibration of solid H- and D-benzoic acid. Chem Phys 364:51–63
Dopieralski PD, Latajka Z, Olovsson I (2010) Proton transfer dynamics in crystalline maleic acid from molecular dynamics calculations. J Chem Theory Comput 6:1455–1461
Marx MP (1994) Ab initio path-integral molecular dynamics. Z Phys B 95:143–144
Marx D, Parrinello M (1996) Ab initio path integral molecular dynamics: basic ideas. J Chem Phys 104:4077–4082
Tuckerman M, Marx D, Klein ML, Parrinello M (1996) Efficient and general algorithms for path integral Car–Parrinello molecular dynamics. J Chem Phys 104:5579–5588
Frisch MJ et al (2004) Gaussian 03, revision C.02. Gaussian Inc., Wallingford
Perdew JP, Burke K, Ernzerhof M (1997) Generalized gradient approximation made simple [Phys. Rev. Lett. 77, 3865 (1996)]. Phys Rev Lett 78:1396–1396
Dunning TH Jr (1989) Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen. J Chem Phys 90:1007–1023
Kendall RA, Dunning TH Jr, Harrison RJ (1992) Electron affinities of the first-row atoms revisited. Systematic basis sets and wave functions. J Chem Phys 96:6796–6806
Woon DE, Dunning TH Jr (1993) Gaussian basis sets for use in correlated molecular calculations. III. The atoms aluminum through argon. J Chem Phys 98:1358–1371
Peterson KA, Woon DE, Dunning TH Jr (1994) Benchmark calculations with correlated molecular wave functions. IV. The classical barrier height of the H + H2 → H2 + H reaction. J Chem Phys 100:7410–7415
Krishnan R, Binkley JS, Seeger R, Pople JA (1980) Self-consistent molecular orbital methods. XX. A basis set for correlated wave functions. J Chem Phys 72:650–654
Frisch MJ, Pople JA, Binkley JS (1984) Self-consistent molecular orbital methods 25. Supplementary functions for Gaussian basis sets. J Chem Phys 80:3265–3269
Møller C, Plesset MS (1934) Note on an approximation treatment for many-electron systems. Phys Rev 46:618–622
Barone VJ (2004) Vibrational zero-point energies and thermodynamic functions beyond the harmonic approximation. J Chem Phys 120:3059–3065
Barone VJ (2005) Anharmonic vibrational properties by a fully automated second-order perturbative approach. J Chem Phys 122:014108–014118
CPMD Consortium (2010) CPMD Consortium page. http://www.cpmd.org
Martyna J, Klein ML, Tuckerman M (1992) Nosé–Hoover chains: the canonical ensemble via continuous dynamics. J Chem Phys 97:2635–2643
Perdew JP, Burke S, Ernzerhof M (1996) Generalized gradient approximation made simple. Phys Rev Lett 77:3865–3868
Troullier N, Martins JL (1991) Efficient pseudopotentials for plane-wave calculations. Phys Rev B 43:1993–2006
Humphrey W, Dalke A, Schulten K (1996) VMD: visual molecular dynamics. J Mol Graph 14:33–38
Kohlmeyer A, Forbert H (2004) traj2xyz.pl (v.1.4). A. Kohlmeyer, Ruhr-Universität Bochum, Bochum
Forbert H, Kohlmeyer A (2002-2005) Fourier (v.2). H. Forbert, Ruhr-Universität Bochum, Bochum
Zhao Y, Truhlar DG (2005) Benchmark databases for nonbonded interactions and their use to test density functional theory. J Chem Theor Comput 1:415–432
Derissen JL (1971) An investigation of the structure of propionic acid monomer and dimer by gas electron diffraction. J Mol Struct 7:81–88
Maçôas EMS, Khriachtchev L, Pettersson M, Fausto R, Räsänen M (2005) Internal rotation in propionic acid: near-infrared-induced isomerization in solid argon. J Phys Chem A 109:3617–3625
Maréchal Y (1987) IR spectra of carboxylic acids in the gas phase: a quantitative reinvestigation. J Chem Phys 87:6344–6353
Herman RC, Hofstadter R (1939) Vibration spectra and molecular structure. VII. Further infra-red studies on the vapors of some carboxylic acid. J Chem Phys 7:460–464
Durlak P, Latajka Z (2009) Car–Parrinello molecular dynamics and density functional theory simulations of infrared spectra for acetic acid monomers and cyclic dimers. Chem Phys Lett 77:249–254
Acknowledgments
The authors would like to gratefully acknowledge the Ministry of Science and Higher Education of Poland for supporting this research through grant no. NN 204 0958 33. Thanks also are due to the Academic Computer Centre in Gdansk (CI TASK) for allowing us to use the Galera-ACTION cluster, and the Wroclaw Centre for Networking and Supercomputing (WCSS) for permitting us to use the Nova Cluster. Dr. Matthew Farrow is gratefully acknowledged for editing and proofreading this manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Durlak, P., Latajka, Z. Proton transfer dynamics in the propionic acid dimer from path integral molecular dynamics calculations. J Mol Model 17, 2159–2168 (2011). https://doi.org/10.1007/s00894-010-0939-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00894-010-0939-6