Femtosecond visible and infrared analogues of multiple-pulse nuclear magnet
ic resonance techniques provide novel snapshot probes into the structure an
d electronic and vibrational dynamics of complex molecular assemblies such
as photosynthetic antennae, proteins, and hydrogen-bonded liquids. A classi
cal-oscillator description of these spectroscopies in terms of interacting
quasiparticles (rather than transitions among global eigenstates) is develo
ped and sets the stage for designing new pulse sequences and inverting the
multidimensional signals to yield molecular structures. Considerable comput
ational advantages and a clear physical insight into the origin of the resp
onse and the relevant coherence sizes are provided by a real-space analysis
of the underlying coherence-transfer pathways in Liouville space.