Related Experiment Video
Updated: Jun 13, 2026

Ultrafast Time-resolved Near-IR Stimulated Raman Measurements of Functional π-conjugate Systems
Published on: February 10, 2020
Hilbert-space treatment of incoherent, time-resolved spectroscopy. II. Pathway description of optical multiple
1Department of Chemistry and Biochemistry, University of South Carolina, Columbia, South Carolina 29208, USA. berg@chem.sc.edu
Abstract:
This paper applies the general methods developed in the previous paper (Paper I) to the case of one-photon, dipole transitions of a molecular solute. The results generalize transient-grating spectroscopy to an arbitrarily number of dimensions. Transition and detection operators are derived, and their matrix elements are calculated in the complex-valued basis set developed in Paper I. Selection rules make it possible to analyze which incoherent pathways, and thus which correlation functions, contribute to an N-dimensional multiple population-period transient spectroscopy experiment. Irreducible-tensor methods allow the amplitudes of the contributing orientational-correlation functions to be calculated for arbitrary polarization conditions. A second-rank polarization tensor is used to describe the polarization of the pair of beams creating or detecting a grating. Several known results for one-dimensional experiments are rederived in this formalism to provide examples of its use.
Related Concept Videos
IR Spectroscopy: Molecular Vibration Overview
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...
UV–Vis Spectroscopy: Molecular Electronic Transitions
Inductively Coupled Plasma Atomic Emission Spectroscopy: Instrumentation
There are three main types of inductively coupled plasma atomic emission spectroscopy (ICP-AES) instruments: sequential, simultaneous multichannel, and Fourier transform instruments, with the latter being less commonly used.
Infrared (IR) Spectroscopy: Overview
Different compounds display unique properties due to their...
Ultraviolet and Visible (UV–Vis) Spectroscopy: Overview
Tandem Mass Spectrometry
