Vibrational spectroscopy is an essential tool in chemical analyses, biological assays, and studies of functional materials. Over the past decade, various coherent nonlinear vibrational spectroscopic techniques have been developed and enabled researchers to study time-correlations of the fluctuating frequencies that are directly related to solute-solvent dynamics, dynamical changes in molecular conformations and local electrostatic environments, chemical and biochemical reactions, protein structural dynamics and functions, characteristic processes of functional materials, and so on. In order to gain incisive and quantitative information on the local electrostatic environment, molecular conformation, protein structure and inter-protein contacts, ligand binding kinetics, and electric and optical properties of functional materials, a variety of vibrational probes have been developed and site-specifically incorporated into molecular, biological, and material systems for time-resolved vibrational spectroscopic investigation. However, still, an allencompassing theory that describes the vibrational solvatochromism, electrochromism, and dynamic fluctuation of vibrational frequencies has not been completely established mainly due to the intrinsic complexity of intermolecular interactions in condensed phases. In particular, the amount of data obtained from the linear and nonlinear vibrational spectroscopic experiments has been rapidly increasing, but the lack of a quantitative method to interpret these measurements has been one major obstacle in broadening the applications of these methods. Among various theoretical models, one of the most successful approaches is a semi-empirical model generally referred to as the vibrational spectroscopic map that is based on a rigorous theory of intermolecular interactions. Recently, genetic algorithm, neural network, and machine learning approaches have been applied to the development of vibrational solvatochromism theory. In this review, we provide comprehensive descriptions of the theoretical foundation and various examples showing its extraordinary successes in the interpretations of experimental observations. In addition, a brief introduction to a newly created repository website (http://frequencymap.org) for vibrational spectroscopic maps is presented. We anticipate that a combination of the vibrational frequency map approach and state-of-theart multidimensional vibrational spectroscopy will be one of the most fruitful ways to study the structure and dynamics of chemical, biological, and functional molecular systems in the future.

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Electronic circular dichroism (CD) spectroscopy is an important tool for the elucidation of biomolecular structure. This review describes the latest progress and developments in experimental and theoretical studies of proteins using CD spectroscopy, including time-resolved measurements, oriented CD, and stateof-the-art experiments using polarized UV light from high-energy synchrotron radiation. Statistical and machine learning methods for the analysis of experimental spectra are surveyed. Computational methods employed to predict CD spectra from structure include ab initio quantum chemistry techniques, time-dependent density functional theory, and exciton theory. We describe recent computations using exciton theory, where we outline the importance of electronic-vibrational coupling and the influence of electrostatics of the protein environment on the electronic transitions in the chromophores responsible for CD signals in the near UV. Improvements in the accuracy of the computational approaches should allow more quantitative studies, applying a combination of experimental data and modeling to a variety of interesting questions. Fundamentals of the Phenomenon of Electronic Circular DichroismCircular dichroism (CD) is the differential absorption of left-and right-handed circularly polarized light. An elliptically polarized light wave results when a linearly polarized light wave passes through an optically active chiral compound. The magnitude of the effect is given by

Abstract:The molecular interactions between the Ce(IV)-substituted Keggin anion [PW11O39Ce(OH2)4] 3-(CeK) and hen egg white lysozyme (HEWL), was investigated by molecular dynamics (MD) simulations. We compared the analysis of CeK with the Ce(IV)-substituted Keggin dimer [(PW11O39)2Ce] 10-(CeK2) and the Zr(IV)-substituted Lindqvist anion [W5O18Zr(OH2)(OH)] 3-(ZrL) in order to understand how POM features such as the shape, the size, the charge or the type of incorporated metal ion influence the POM···protein interactions. Simulations revealed two regions of the protein, in which the CeK anion interacts strongly: the cationic sites formed by Arg21 on one hand and by Arg45 and Arg68 on the other. The two sites can be related with the observed selectivity in the hydrolytic cleavage of HEWL. The POMs chiefly interact with the side chains of the positively charged (arginines and lysines) and the polar uncharged (tyrosines, serines and aspargines) residues via electrostatic attraction and hydrogen bonding with the oxygens of the POM framework. The CeK anion shows higher protein affinity than the CeK2 and ZrL anions, because it is less hydrophilic and it has the right size and shape for stablishing interactions with several residues simultaneously. The larger and more negatively charged CeK2 anion has a high solvent-accessible surface, which is suboptimal for the interaction, while the smaller ZrL anion is highly hydrophilic and it cannot interact simultaneously with several residues so efficiently.

The excited states of formamide in the gas phase have been calculated using multireference configuration interaction methods. The nπ* transition is calculated to be at 5.85 eV, and the ππ* transition is placed at 7.94 eV. The corresponding experimental energies are 5.65 and 7.32 eV, respectively. In addition, a number of states with significant intensity are calculated to occur in the region of the experimental spectrum designated as the V 1 band. The experimental ππ* transition dipole moment, 3.71 D, is estimated by assuming that the intensity of the V 1 band is due solely to the ππ* transition. The calculated ππ* transition dipole moment is 3.70 D, if only one unoccupied a′′ orbital is included in the active space. If the number of unoccupied a′′ orbitals in the active space is increased, the calculated ππ* transition moment drops to 2.40 D, and another transition, the π3p π , appears at 7.40 eV, but with only low to moderate intensity. The calculated orientation of the ππ* transition dipole moment agrees with the experimental data, lying along the axis defined by the N and O atoms.