Experimental and theoretical study of the polarized infrared spectra of the hydrogen bond in 3‐thiophenic acid crystal

This article presents the results of experimental and theoretical studies of the vOH and vOD band shapes in the polarized infrared spectra of 3‐thiophenic acid crystals measured at room temperature and at 77 K. The line shapes are studied theoretically within the framework of the anharmonic coupling theory, Davydov coupling, Fermi resonance, direct and indirect damping, as well as the selection rule breaking mechanism for forbidden transitions. The adiabatic approximation allowing to separate the high‐frequency motion from the slow one of the H‐bond bridge is performed for each separate H‐bond bridge of the dimer and a strong nonadiabatic correction is introduced via the resonant exchange between the fast‐mode excited states of the two moieties. The spectral density is obtained within the linear response theory by Fourier transform of the damped autocorrelation functions. The approach correctly fits the experimental line shape of the hydrogenated compound and predicts satisfactorily the evolution in the line shapes with temperature and the change in the line shape with isotopic substitution. © 2009 Wiley Periodicals, Inc. J Comput Chem, 2010

[1]  J. Leicknam,et al.  SUBPICOSECOND TRANSIENT INFRARED SPECTROSCOPY OF WATER : A THEORETICAL DESCRIPTION , 1995 .

[2]  H. Flakus The effect of strong coupling between vibrations in hydrogen bonds on the polarized spectra of the mercaptobenzothiazole crystal: an “anomalous” isotopic effect , 1981 .

[3]  A. Witkowski,et al.  Infrared Spectra of H‐Bonded Systems , 1968 .

[4]  N. Rösch,et al.  Model for the effects of a condensed phase on the infrared spectra of hydrogen-bonded systems , 1974 .

[5]  P. Morse Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels , 1929 .

[6]  G. V. Yukhnevich,et al.  Hydrogen bond CH…O in liquid methanol , 1998 .

[7]  D. Hadzi,et al.  Infrared Spectra of Molecules with Hydrogen Bonds , 1957 .

[8]  M. Havenith,et al.  High resolution spectroscopy of carboxylic acid in the gas phase: Observation of proton transfer in (DCOOH)2 , 2002 .

[9]  H. Flakus Vibronic model for H/D isotopic self-organization effects in centrosymmetric dimers of hydrogen bonds , 2003 .

[10]  H. Flakus,et al.  Vibronic model for H/D isotopic “self-organization” effects in hydrogen bond cyclic trimeric systems: 4-Bromopyrazole crystal IR spectra , 2006 .

[11]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[12]  M. Wójcik Theory of the infrared spectra of the hydrogen bond in molecular crystals , 1976 .

[13]  Ranbir Singh,et al.  J. Mol. Struct. (Theochem) , 1996 .

[14]  H. Flakus,et al.  Infrared spectra of the hydrogen bond in pimelic acid crystals: polarization and temperature effects. , 2001, Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy.

[15]  J. F. Nixon,et al.  Topics in current chemistry , 1982 .

[16]  J. Watson Vibrational Spectra and Structure , 1977 .

[17]  J. Leicknam,et al.  Ultrafast infrared pump–probe spectroscopy of water: A theoretical description , 1994 .

[18]  L. Walker,et al.  Density-Operator Theory of Harmonic Oscillator Relaxation , 1965 .

[19]  G. N. Robertson,et al.  A new method of measuring the hydrogen bond stretching frequency νσ of a complex in solution , 1975, Nature.

[20]  P. Blaise,et al.  Theory of weak damped H-bonds: relative influence of relaxation mechanisms on IR spectra , 1999 .

[21]  M. Wójcik Theoretical interpretation of infrared spectra of the ClH stretching vibration in the gaseous (Ch3)2O · · · HCl complex , 1986 .

[22]  P. Blaise,et al.  Infrared Lineshapes of Weak Hydrogen Bonds: Recent Quantum Developments , 2002 .

[23]  J. Déjardin,et al.  Quantum theory of the spectral density of the hydrogen bond in solution Part 1. A closed autocorrelation function , 1994 .

[24]  P. Blaise,et al.  Infrared spectra of hydrogen bonded species in solution , 1988 .

[25]  Y. Maréchal,et al.  Infrared Spectra of H‐Bonded Systems : Anharmonicity of the H‐Bond Vibrations in Cyclic Dimers , 1971 .

[26]  H. Flakus,et al.  Infrared spectra of the hydrogen bonded glutaric acid crystals: polarization and temperature effects , 1999 .

[27]  H. Flakus On the vibrational transition selection rules for the centrosymmetric hydrogen-bonded dimeric systems , 1989 .

[28]  H. Flakus,et al.  Infrared spectra of the hydrogen bond in benzoic acid crystals: temperature and polarization effects. , 2002, Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy.

[29]  H. Flakus,et al.  Polarization IR spectra of the hydrogen bond in 1-naphthylacetic and 2-naphthylacetic acid crystals: H/D isotopic effects. Temperature and polarization effects , 2004 .

[30]  A. Hüttermann,et al.  The Hydrogen Bond , 1940, Nature.

[31]  H. Flakus,et al.  Theoretical interpretation of the infrared lineshape of liquid and gaseous acetic acid , 2006 .

[32]  Adina Ceausu-Velcescu,et al.  Some further considerations on deriving matrix elements of non-periodic potentials in the basis of the non-degenerate harmonic oscillator wavefunctions , 2003 .

[33]  R. E. PEIERLS,et al.  Lectures on Theoretical Physics , 1951, Nature.

[34]  P. Blaise,et al.  Infrared spectra of weak hydrogen bonds and indirect damping. On the deep connection between the quantum model and the semi-classical one of Robertson and Yarwood , 2005 .

[35]  Czesława Paluszkiewicz,et al.  Theoretical modeling of infrared spectra of benzoic acid and its deuterated derivative , 2004 .

[36]  R. Kubo Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems , 1957 .

[37]  M. Wójcik,et al.  THEORETICAL MODELING OF INFRARED SPECTRA OF ASPIRIN AND ITS DEUTERATED DERIVATIVE , 2003 .

[38]  P. Blaise,et al.  Theoretical interpretation of the infrared lineshape of gaseous propynoic and acrylic acid dimers , 2006 .

[39]  G. N. Robertson,et al.  Vibrational relaxation of hydrogen-bonded species in solution. I. Theory , 1978 .

[40]  P. Blaise,et al.  Theoretical interpretation of the line shape of crystalline adipic acid. , 2006, The Journal of chemical physics.

[41]  S. Bratos Profiles of hydrogen stretching ir bands of molecules with hydrogen bonds: A stochastic theory. I. Weak and medium strength hydrogen bonds , 1975 .

[42]  S. E. Odinokov,et al.  Torsional γ(OH) vibrations, Fermi resonance [2γ(OH) ⇐ ν(OH)] and isotopic effects in i.r. spectra of H-complexes of carboxylic acids with strong bases , 1972 .

[43]  M. Wójcik,et al.  Infrared spectra of hydrogen bond a general theoretical model , 1973 .

[44]  D. Luckhaus Concerted hydrogen exchange tunneling in formic acid dimer. , 2006, The journal of physical chemistry. A.

[45]  M. Jabłońska,et al.  Study of hydrogen bond polarized IR spectra of cinnamic acid crystals , 2004 .

[46]  A. Novak,et al.  Hydrogen bonding in solids correlation of spectroscopic and crystallographic data , 1974 .

[47]  N. Rekik,et al.  Spectral density of H-bonds. II. Intrinsic anharmonicity of the fast mode within the strong anharmonic coupling theory , 2001 .

[48]  H. Flakus,et al.  Influence of molecular electronic properties on the IR spectra of dimeric hydrogen bond systems: polarized spectra of 2-hydroxybenzothiazole and 2-mercaptobenzothiazole crystals , 2002 .

[49]  O. Henri-Rousseau,et al.  Infrared spectra of weak H-bonds: Fermi resonances and intrinsic anharmonicity of the H-bond bridge , 2003 .

[50]  O. Henri-Rousseau,et al.  IR spectral density of weak H-bonded complexes involving damped Fermi resonances. II. Numerical experiments and physical discussion , 1998 .

[51]  M. Wójcik,et al.  Infrared spectral density of hydrogen bonds within the strong anharmonic coupling theory: Quadratic dependence of the angular frequency and the equilibrium position of the fast mode , 2007 .