In the broad water stretching band (2900−3700 cm-1), frequency-dependent vibrational energy relaxation
(VER), and spectral diffusion both occur on the time scale of a few picoseconds. Ultrafast IR−Raman
spectroscopy of water is used to study both processes. VER is also studied in solutions of HDO in D2O
(HDO/D2O). The OH stretch (νOH) lifetime for water and HDO is ∼1 ps. The OD stretch (νOD) lifetime for
D2O is ∼2 ps. Stretch decay generates substantial excitation of the bending modes. The lifetimes of bending
vibrations (δ) in H2O, HDO, and D2O can be estimated to be in the 0.6 ps ≤ T
1 ≤ 1.2 ps range. νOH decay
in water produces δH
2
O with a quantum yield 1.0 ≤ φ ≤ 2.0. In HDO/D2O solutions, νOH(HDO) decay generates
νOD(D2O), δHDO, and δD
2
O. The quantum yield for generating νOD(D2O) is φ ≈ 0.1. The quantum yield for
generating both δHDO and δD
2
O is φ ≥ 0.6. Thus, each νOH(HDO) decay generates at minimum 1.2 quanta of
bending excitation. After narrow-band pumping, the distribution of excitations within the stretch band of
water evolves in time. Pumping on the blue edge instantaneously (within ∼1 ps) generates excitations throughout
the band. Pumping on the red edge does not instantaneously generate excitations at the blue edge. Excitations
migrate uphill to the blue edge on the 0−2 ps time scale. The fast downhill spectral diffusion is attributed to
excitation hopping among water molecules in different structural environments. The slower uphill spectral
diffusion is attributed to evolution of the local liquid structure. Shortly after excitations are generated, an
overall redshift is observed that is attributed to a dynamic vibrational Stokes shift. This dynamic shift slows
down the rate of excitation hopping. Then energy redistribution throughout the band becomes slow enough
that the longer VER lifetimes of stretch excitations on the blue edge can lead to a gradual blue shift of
population over the next few picoseconds.