Two‐Dimensional Correlation Spectroscopy – Applications in Vibrational and Optical Spectroscopy

Abstract

Preface.Acknowledgements.1 Introduction.1.1 Two-dimensional Spectroscopy.1.2 Overview of the Field.1.3 Generalized Two-dimensional Correlation.1.3.1 Types of Spectroscopic Probes.1.3.2 External Perturbations.1.4 Heterospectral Correlation.1.5 Universal Applicability.2 Principle of Two-dimensional Correlation Spectroscopy.2.1 Two-dimensional Correlation Spectroscopy.2.1.1 General Scheme.2.1.2 Type of External Perturbations.2.2 Generalized Two-dimensional Correlation.2.2.1 Dynamic Spectrum.2.2.2 Two-dimensional Correlation Concept.2.2.3 Generalized Two-dimensional Correlation Function.2.2.4 Heterospectral Correlation.2.3 Properties of 2D Correlation Spectra.2.3.1 Synchronous 2D Correlation Spectrum.2.3.2 Asynchronous 2D Correlation Spectrum.2.3.3 Special Cases and Exceptions.2.4 Analytical Expressions for Certain 2D Spectra.2.4.1 Comparison of Linear Functions.2.4.2 2D Spectra Based on Sinusoidal Signals.2.4.3 Exponentially Decaying Intensities.2.4.4 Distributed Lorentzian Peaks.2.4.5 Signals with more Complex Waveforms.2.5 Cross-correlation Analysis and 2D Spectroscopy.2.5.1 Cross-correlation Function and Cross Spectrum.2.5.2 Cross-correlation Function and Synchronous Spectrum.2.5.3 Hilbert Transform.2.5.4 Orthogonal Correlation Function and Asynchronous Spectrum.2.5.5 Disrelation Spectrum.3 Practical Computation of Two-dimensional Correlation Spectra.3.1 Computation of 2D Spectra from Discrete Data.3.1.1 Synchronous Spectrum.3.1.2 Asynchronous Spectrum.3.2 Unevenly Spaced Dat…