The hydrogen-bonding networks of water have strong intra- and intermolecular vibrational coupling which influences the energy dissipation and proton transfer in water. Disentangling and quantitative characterization of different coupling effects in water at a single-molecular level still remains a great challenge. Using tip-enhanced inelastic electron tunneling spectroscopy (IETS) based on low-temperature scanning tunneling microscopy, we report the direct quantitative assessment of the intermolecular coupling constants of the OH-stretch vibrational bands of an isolated water tetramer adsorbed on a Au(111)-supported NaCl(001) bilayer film. This is achieved by distinguishing various coupled modes of the H-bonded O–H stretching vibrations through tip-height dependent IET spectra. In contrast, such vibrational coupling is negligible in the half-deuterated water tetramer owing to the large energy mismatch between the OH and OD stretching modes. Not only do these findings advance our understanding on the effects of local environment on the intermolecular vibrational coupling in water, but also open up a new route for vibrational spectroscopic studies of extended H-bonded network at the single-molecular level.

1.
P.
Ball
, “
Water–An enduring mystery
,”
Nature
452
,
291
292
(
2008
).
2.
P.
Gallo
,
K.
Amann-Winkel
,
C. A.
Angell
,
M. A.
Anisimov
,
F.
Caupin
,
C.
Chakravarty
,
E.
Lascaris
,
T.
Loerting
,
A. Z.
Panagiotopoulos
,
J.
Russo
,
J. A.
Sellberg
,
H. E.
Stanley
,
H.
Tanaka
,
C.
Vega
,
L.
Xu
, and
L. G. M.
Pettersson
, “
Water: A tale of two liquids
,”
Chem. Rev.
116
,
7463
7500
(
2016
).
3.
P. A.
Thiel
and
T. E.
Madey
, “
The interaction of water with solid surfaces: Fundamental aspects
,”
Surf. Sci. Rep.
7
,
211
385
(
1987
).
4.
M.
Henderson
, “
The interaction of water with solid surfaces: Fundamental aspects revisited
,”
Surf. Sci. Rep.
46
,
1
308
(
2002
).
5.
A.
Hodgson
and
S.
Haq
, “
Water adsorption and the wetting of metal surfaces
,”
Surf. Sci. Rep.
64
,
381
451
(
2009
).
6.
A.
Verdaguer
,
G. M.
Sacha
,
H.
Bluhm
, and
M.
Salmeron
, “
Molecular structure of water at interfaces: Wetting at the nanometer scale
,”
Chem. Rev.
106
,
1478
1510
(
2006
).
7.
E.
Bjornehohn
,
M. H.
Hansen
,
A.
Hodgson
,
L. M.
Liu
,
D. T.
Limmer
,
A.
Michaelides
,
P.
Pedevilla
,
J.
Rossmeisl
,
H.
Shen
,
G.
Tocci
,
E.
Tyrode
,
M. M.
Walz
,
J.
Werner
, and
H.
Bluhm
, “
Water at interfaces
,”
Chem. Rev.
116
,
7698
7726
(
2016
).
8.
J.
Guo
,
K.
Bian
,
Z.
Lin
, and
Y.
Jiang
, “
Perspective: Structure and dynamics of water at surfaces probed by scanning tunneling microscopy and spectroscopy
,”
J. Chem. Phys.
145
,
160901
(
2016
).
9.
M.
Ceriotti
,
W.
Fang
,
P. G.
Kusalik
,
R. H.
McKenzie
,
A.
Michaelides
,
M. A.
Morales
, and
T. E.
Markland
, “
Nuclear quantum effects in water and aqueous systems: Experiment, theory, and current challenges
,”
Chem. Rev.
116
,
7529
7550
(
2016
).
10.
C. J.
Fecko
,
J. D.
Eaves
,
J. J.
Loparo
,
A.
Tokmakoff
, and
P. L.
Geissler
, “
Ultrafast hydrogen-bond dynamics in the infrared spectroscopy of water
,”
Science
301
,
1698
1702
(
2003
).
11.
J. L.
Skinner
,
B. M.
Auer
, and
Y. S.
Lin
, “
Vibrational line shapes, spectral diffusion, and hydrogen bonding in liquid water
,”
Adv. Chem. Phys.
142
,
59
103
(
2009
).
12.
H. J.
Bakker
and
J. L.
Skinner
, “
Vibrational spectroscopy as a probe of structure and dynamics in liquid water
,”
Chem. Rev.
110
,
1498
1517
(
2010
).
13.
J.
Guo
,
J.-T.
,
Y.
Feng
,
J.
Chen
,
J.
Peng
,
Z.
Lin
,
X.
Meng
,
Z.
Wang
,
X.-Z.
Li
,
E.-G.
Wang
, and
Y.
Jiang
, “
Nuclear quantum effects of hydrogen bonds probed by tip-enhanced inelastic electron tunneling
,”
Science
352
,
321
325
(
2016
).
14.
S.
Woutersen
and
H. J.
Bakker
, “
Resonant intermolecular transfer of vibrational energy in liquid water
,”
Nature
402
,
507
509
(
1999
).
15.
I. V.
Stiopkin
,
C.
Weeraman
,
P. A.
Pieniazek
,
F. Y.
Shalhout
,
J. L.
Skinner
, and
A. V.
Benderskii
, “
Hydrogen bonding at the water surface revealed by isotopic dilution spectroscopy
,”
Nature
474
,
192
195
(
2011
).
16.
K. M.
Hunter
,
F. A.
Shakib
, and
F.
Paesani
, “
Disentangling coupling effects in the infrared spectra of liquid water
,”
J. Phys. Chem. B
122
,
10754
10761
(
2018
).
17.
J.
Schaefer
,
E. H. G.
Backus
,
Y.
Nagata
, and
M.
Bonn
, “
Both inter- and intramolecular coupling of O–H groups determine the vibrational response of the water/air interface
,”
J. Phys. Chem. Lett.
7
,
4591
4595
(
2016
).
18.
Y.
Zhang
,
Y.
Luo
,
Y.
Zhang
,
Y.-J.
Yu
,
Y.-M.
Kuang
,
L.
Zhang
,
Q.-S.
Meng
,
Y.
Luo
,
J.-L.
Yang
,
Z.-C.
Dong
, and
J. G.
Hou
, “
Visualizing coherent intermolecular dipole–dipole coupling in real space
,”
Nature
531
,
623
(
2016
).
19.
H.
Imada
,
K.
Miwa
,
M.
Imai-Imada
,
S.
Kawahara
,
K.
Kimura
, and
Y.
Kim
, “
Real-space investigation of energy transfer in heterogeneous molecular dimers
,”
Nature
538
,
364
(
2016
).
20.
K.
Ramasesha
,
L.
De Marco
,
A.
Mandal
, and
A.
Tokmakoff
, “
Water vibrations have strongly mixed intra- and intermolecular character
,”
Nat. Chem.
5
,
935
940
(
2013
).
21.
J.
Lindner
,
P.
Vöhringer
,
M. S.
Pshenichnikov
,
D.
Cringus
,
D. A.
Wiersma
, and
M.
Mostovoy
, “
Vibrational relaxation of pure liquid water
,”
Chem. Phys. Lett.
421
,
329
333
(
2006
).
22.
J.
Zischang
and
M. A.
Suhm
, “
The OH stretching spectrum of warm water clusters
,”
J. Chem. Phys.
140
,
064312
(
2014
).
23.
B.
Zhang
,
Y.
Yu
,
Z.
Zhang
,
Y.-Y.
Zhang
,
S.
Jiang
,
Q.
Li
,
S.
Yang
,
H.-S.
Hu
,
W.
Zhang
,
D.
Dai
,
G.
Wu
,
J.
Li
,
D. H.
Zhang
,
X.
Yang
, and
L.
Jiang
, “
Infrared spectroscopy of neutral water dimer based on a tunable vacuum ultraviolet free electron laser
,”
J. Phys. Chem. Lett.
11
,
851
855
(
2020
).
24.
J. E.
Bertie
and
Z.
Lan
, “
Infrared intensities of liquids XX: The intensity of the OH stretching band of liquid water revisited, and the best current values of the optical constants of H2O(I) at 25 °C between 15 000 and 1 cm−1
,”
Appl. Spectrosc.
50
,
1047
1057
(
1996
).
25.
K. E.
Otto
,
Z.
Xue
,
P.
Zielke
, and
M. A.
Suhm
, “
The Raman spectrum of isolated water clusters
,”
Phys. Chem. Chem. Phys.
16
,
9849
9858
(
2014
).
26.
G. E.
Walrafen
,
M. R.
Fisher
,
M. S.
Hokmabadi
, and
W. H.
Yang
, “
Temperature-dependence of the low-frequency and high-frequency Raman scattering from liquid water
,”
J. Chem. Phys.
85
,
6970
6982
(
1986
).
27.
Y. R.
Shen
and
V.
Ostroverkhov
, “
Sum-frequency vibrational spectroscopy on water interfaces: Polar orientation of water molecules at interfaces
,”
Chem. Rev.
106
,
1140
1154
(
2006
).
28.
B. C.
Stipe
,
M. A.
Rezaei
, and
W.
Ho
, “
Single-molecule vibrational spectroscopy and microscopy
,”
Science
280
,
1732
1735
(
1998
).
29.
Y.
Kim
,
T.
Komeda
, and
M.
Kawai
, “
Single-molecule reaction and characterization by vibrational excitation
,”
Phys. Rev. Lett.
89
,
126104
(
2002
).
30.
C.-l.
Chiang
,
C.
Xu
,
Z.
Han
, and
W.
Ho
, “
Real-space imaging of molecular structure and chemical bonding by single-molecule inelastic tunneling probe
,”
Science
344
,
885
888
(
2014
).
31.
S. W.
Li
,
D. W.
Yuan
,
A.
Yu
,
G.
Czap
,
R. Q.
Wu
, and
W.
Ho
, “
Rotational spectromicroscopy: Imaging the orbital interaction between molecular hydrogen and an adsorbed molecule
,”
Phys. Rev. Lett.
114
,
206101
(
2015
).
32.
Z.
Han
,
G.
Czap
,
C.
Xu
,
C.-l.
Chiang
,
D.
Yuan
,
R.
Wu
, and
W.
Ho
, “
Probing intermolecular coupled vibrations between two molecules
,”
Phys. Rev. Lett.
118
,
036801
(
2017
).
33.
Z.
Han
,
G.
Czap
,
C.-l.
Chiang
,
C.
Xu
,
P. J.
Wagner
,
X.
Wei
,
Y.
Zhang
,
R.
Wu
, and
W.
Ho
, “
Imaging the halogen bond in self-assembled halogenbenzenes on silver
,”
Science
358
,
206
210
(
2017
).
34.
K.
Lauwaet
,
K.
Schouteden
,
E.
Janssens
,
C.
Van Haesendonck
,
P.
Lievens
,
M. I.
Trioni
,
L.
Giordano
, and
G.
Pacchioni
, “
Resolving all atoms of an alkali halide via nanomodulation of the thin NaCl film surface using the Au(111) reconstruction
,”
Phys. Rev. B
85
,
245440
(
2012
).
35.
J.
Guo
,
X.
Meng
,
J.
Chen
,
J.
Peng
,
J.
Sheng
,
X.-Z.
Li
,
L.
Xu
,
J.-R.
Shi
,
E.-G.
Wang
, and
Y.
Jiang
, “
Real-space imaging of interfacial water with submolecular resolution
,”
Nat. Mater.
13
,
184
189
(
2014
).
36.
X.
Meng
,
J.
Guo
,
J.
Peng
,
J.
Chen
,
Z.
Wang
,
J.-R.
Shi
,
X.-Z.
Li
,
E.-G.
Wang
, and
Y.
Jiang
, “
Direct visualization of concerted proton tunnelling in a water nanocluster
,”
Nat. Phys.
11
,
235
239
(
2015
).
37.
Y.
Feng
,
Z.
Wang
,
J.
Guo
,
J.
Chen
,
E.-G.
Wang
,
Y.
Jiang
, and
X.-Z.
Li
, “
The collective and quantum nature of proton transfer in the cyclic water tetramer on NaCl(001)
,”
J. Chem. Phys.
148
,
102329
(
2018
).
38.
G.
Kresse
and
J.
Hafner
, “
Ab initio molecular dynamics for liquid metals
,”
Phys. Rev. B
47
,
558
561
(
1993
).
39.
G.
Kresse
and
J.
Furthmüller
, “
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
,”
Phys. Rev. B
54
,
11169
11186
(
1996
).
40.
G.
Kresse
and
D.
Joubert
, “
From ultrasoft pseudopotentials to the projector augmented-wave method
,”
Phys. Rev. B
59
,
1758
1775
(
1999
).
41.
J.
Klimes
,
D. R.
Bowler
, and
A.
Michaelides
, “
Chemical accuracy for the van der Waals density functional
,”
J. Phys.: Condens. Matter
22
,
022201
(
2010
).
42.
J.
Klimes
,
D. R.
Bowler
, and
A.
Michaelides
, “
Van der Waals density functionals applied to solids
,”
Phys. Rev. B
83
,
195131
(
2011
).
43.
X.
Xu
and
W. A.
Goddard
, “
Bonding properties of the water dimer: A comparative study of density functional theories
,”
J. Phys. Chem. A
108
,
2305
2313
(
2004
).
44.
C.
Zhang
,
J.
Wu
,
G.
Galli
, and
F.
Gygi
, “
Structural and vibrational properties of liquid water from van der Waals density functionals
,”
J. Chem. Theory Comput.
7
,
3054
3061
(
2011
).
45.
R. W.
Larsen
,
P.
Zielke
, and
M. A.
Suhm
, “
Hydrogen-bonded OH stretching modes of methanol clusters: A combined IR and Raman isotopomer study
,”
J. Chem. Phys.
126
,
194307
(
2007
).
46.
N. R.
Samala
and
N.
Agmon
, “
Temperature dependence of intramolecular vibrational bands in small water clusters
,”
J. Phys. Chem. B
123
,
9428
9442
(
2019
).
47.
A.
Michaelides
, “
Simulating ice nucleation, one molecule at a time, with the “DFT microseope”
,”
Faraday Discuss.
136
,
287
297
(
2007
).
48.
M.
Grechko
,
T.
Hasegawa
,
F.
D’Angelo
,
H.
Ito
,
D.
Turchinovich
,
Y.
Nagata
, and
M.
Bonn
, “
Coupling between intra- and intermolecular motions in liquid water revealed by two-dimensional terahertz-infrared-visible spectroscopy
,”
Nat. Commun.
9
,
885
(
2018
).
49.
P.
Hamm
and
G.
Stock
, “
Vibrational conical intersections in the water dimer
,”
Mol. Phys.
111
,
2046
2056
(
2013
).
50.
S. M.
Craig
,
F. S.
Menges
,
C. H.
Duong
,
J. K.
Denton
,
L. R.
Madison
,
A. B.
Mccoy
, and
M. A.
Johnson
, “
Hidden role of intermolecular proton transfer in the anomalously diffuse vibrational spectrum of a trapped hydronium ion
,”
Proc. Natl. Acad. Sci. U. S. A.
114
,
E4706
E4713
(
2017
).

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