Concerted hydrogen-bond breaking by quantum tunneling in the water hexamer prism

Gear-like rotation by a wobbly water duo The molecules in liquid water move about constantly, but on average they cling to each other through hydrogen bonds, like dancers who keep switching partners. Richardson et al. uncovered a fresh twist in this molecular dance (see the Perspective by Clary). Studying clusters of six molecules each—essentially the smallest three-dimensional water droplets—they observed coupled motion of two different molecules in the cluster. The process breaks two different hydrogen bonds concurrently in a pattern akin to rotating gears. Science, this issue p. 1310; see also p. 1267 Rotational spectroscopy and accompanying theory uncover gearlike joint motion of a pair of water molecules in a cluster. [Also see Perspective by Clary] The nature of the intermolecular forces between water molecules is the same in small hydrogen-bonded clusters as in the bulk. The rotational spectra of the clusters therefore give insight into the intermolecular forces present in liquid water and ice. The water hexamer is the smallest water cluster to support low-energy structures with branched three-dimensional hydrogen-bond networks, rather than cyclic two-dimensional topologies. Here we report measurements of splitting patterns in rotational transitions of the water hexamer prism, and we used quantum simulations to show that they result from geared and antigeared rotations of a pair of water molecules. Unlike previously reported tunneling motions in water clusters, the geared motion involves the concerted breaking of two hydrogen bonds. Similar types of motion may be feasible in interfacial and confined water.

[1]  T. Bürgi,et al.  Three-dimensional model calculation of torsional levels of (H2O)3 and (D2O)3 , 1995 .

[2]  Carolyn S. Brauer,et al.  Broadband rotational spectroscopy of acrylonitrile: Vibrational energies from perturbations , 2012 .

[3]  D. Wales,et al.  Rearrangements of the water trimer , 1996 .

[4]  F. Keutsch,et al.  The water trimer. , 2003, Chemical reviews.

[5]  Classical Path Approximation for the Boltzmann Density Matrix , 1971 .

[6]  James O. Jensen,et al.  The conformational structures and dipole moments of ethyl sulfide in the gas phase , 2001 .

[7]  William H. Miller,et al.  Semiclassical transition state theory for nonseparable systems: Application to the collinear H+H2 reaction , 1975 .

[8]  Walter Gordy,et al.  Microwave Molecular Spectra , 1970 .

[9]  Jorge Nocedal,et al.  Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization , 1997, TOMS.

[10]  Volodymyr Babin,et al.  Toward a Universal Water Model: First Principles Simulations from the Dimer to the Liquid Phase. , 2012, The journal of physical chemistry letters.

[11]  Richard J. Saykally,et al.  Water clusters: Untangling the mysteries of the liquid, one molecule at a time , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[12]  Gordon G. Brown,et al.  A broadband Fourier transform microwave spectrometer based on chirped pulse excitation. , 2008, The Review of scientific instruments.

[13]  D. Clary,et al.  Calculation of the intermolecular bound states for water dimer , 1994 .

[14]  B. Braams,et al.  New ab initio potential energy surface and the vibration-rotation-tunneling levels of (H2O)2 and (D2O)2. , 2008, The Journal of chemical physics.

[15]  D. Wales Theoretical Study of Water Trimer , 1993 .

[16]  Brooks H. Pate,et al.  Hydrogen bond cooperativity and the three-dimensional structures of water nonamers and decamers. , 2014, Angewandte Chemie.

[17]  Berhane Temelso,et al.  Benchmark structures and binding energies of small water clusters with anharmonicity corrections. , 2011, The journal of physical chemistry. A.

[18]  T. R. Dyke,et al.  Group theoretical classification of the tunneling–rotational energy levels of water dimer , 1977 .

[19]  P. Jensen,et al.  Fundamentals of Molecular Symmetry , 2004 .

[20]  V. Babin,et al.  The curious case of the water hexamer: Cage vs. Prism , 2013 .

[21]  A. Michaelides,et al.  Water dimer diffusion on Pd[111] assisted by an H-bond donor-acceptor tunneling exchange. , 2004, Physical review letters.

[22]  V. Babin,et al.  Development of a "First Principles" Water Potential with Flexible Monomers. II: Trimer Potential Energy Surface, Third Virial Coefficient, and Small Clusters. , 2014, Journal of chemical theory and computation.

[23]  Gabriele Eisenhauer Theory Of Atomic And Molecular Clusters With A Glimpse At Experiments , 2016 .

[24]  D. Wales,et al.  Pinning Down the Water Hexamer , 2012, Science.

[25]  R. Saykally,et al.  Water Clusters , 1996, Science.

[26]  Stuart C Althorpe,et al.  Ring-polymer instanton method for calculating tunneling splittings. , 2011, The Journal of chemical physics.

[27]  D. Clary,et al.  Calculations of the tunneling splittings in water dimer and trimer using diffusion Monte Carlo , 1995 .

[28]  E. Herbst,et al.  Rotational spectrum of trans–trans diethyl ether in the ground and three excited vibrational states , 2005 .

[29]  Brooks H. Pate,et al.  Broadband Fourier transform rotational spectroscopy for structure determination: The water heptamer , 2013 .

[30]  G. T. Fraser,et al.  Microwave electric‐resonance optothermal spectroscopy of (H2O)2 , 1989 .

[31]  D. Millen,et al.  The nature of the hydrogen bond to water in the gas phase , 1992 .

[32]  Z. Kisiel Least-squares mass-dependence molecular structures for selected weakly bound intermolecular clusters , 2003 .

[33]  D. Clary,et al.  Three‐body effects on molecular properties in the water trimer , 1995 .

[34]  H. C. Longuet-Higgins The symmetry groups of non-rigid molecules , 1963 .

[35]  Jun-qiang Sun,et al.  Quadratic steepest descent on potential energy surfaces. I. Basic formalism and quantitative assessment , 1993 .

[36]  J. Simons,et al.  Walking on potential energy surfaces , 1990 .

[37]  D. Wales,et al.  Theoretical study of the water tetramer , 1997 .

[38]  Conrad C. Huang,et al.  UCSF Chimera—A visualization system for exploratory research and analysis , 2004, J. Comput. Chem..

[39]  P. Wormer,et al.  Tunneling dynamics, symmetry, and far-infrared spectrum of the rotating water trimer. II. Calculations and experiments , 1996 .

[40]  R. Saykally,et al.  Measurement of quantum tunneling between chiral isomers of the cyclic water trimer. , 1992, Science.

[41]  Wojciech Cencek,et al.  Interaction energies of large clusters from many-body expansion. , 2011, The Journal of chemical physics.

[42]  Amanda L. Steber,et al.  AUTOFIT, an automated fitting tool for broadband rotational spectra, and applications to 1-hexanal , 2015 .

[43]  D. Wales,et al.  Theoretical study of the water pentamer , 1996 .

[44]  P. Bunker,et al.  Molecular symmetry and spectroscopy , 1979 .

[45]  Krzysztof Szalewicz,et al.  Predictions of the Properties of Water from First Principles , 2007, Science.

[46]  Herbert M. Pickett,et al.  The fitting and prediction of vibration-rotation spectra with spin interactions , 1991 .

[47]  J. Bowman,et al.  The water hexamer: cage, prism, or both. Full dimensional quantum simulations say both. , 2012, Journal of the American Chemical Society.

[48]  Geoffrey A. Blake,et al.  Molecular Interactions and Hydrogen Bond Tunneling Dynamics: Some New Perspectives , 1993, Science.

[49]  Joel M Bowman,et al.  Full-dimensional, ab initio potential energy and dipole moment surfaces for water. , 2009, The Journal of chemical physics.

[50]  T. Mitsui,et al.  Water Diffusion and Clustering on Pd(111) , 2002, Science.

[51]  Zbigniew Kisiel,et al.  Assignment and Analysis of Complex Rotational Spectra , 2001 .

[52]  Jeremy O. Richardson,et al.  Investigation of terahertz vibration-rotation tunneling spectra for the water octamer. , 2013, The journal of physical chemistry. A.

[53]  Jeremy O. Richardson,et al.  Instanton calculations of tunneling splittings for water dimer and trimer. , 2011, The Journal of chemical physics.

[54]  R. Saykally,et al.  Fully coupled six-dimensional calculations of the water dimer vibration-rotation-tunneling states with a split Wigner pseudo spectral approach , 1997 .

[55]  Joel M. Bowman,et al.  Flexible, ab initio potential, and dipole moment surfaces for water. I. Tests and applications for clusters up to the 22-mer. , 2011, The Journal of chemical physics.

[56]  Brooks H. Pate,et al.  Structures of Cage, Prism, and Book Isomers of Water Hexamer from Broadband Rotational Spectroscopy , 2012, Science.

[57]  R. Saykally,et al.  Fully coupled six-dimensional calculations of the water dimer vibration-rotation-tunneling states with split Wigner pseudospectral approach. II. Improvements and tests of additional potentials , 1999 .

[58]  D. Clary,et al.  Characterization of a cage form of the water hexamer , 1996, Nature.

[59]  Richard J. Saykally,et al.  Terahertz Laser Vibration−Rotation Tunneling Spectroscopy and Dipole Moment of a Cage Form of the Water Hexamer , 1997 .