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Issue 13, 2009
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Analytic ab initio calculations of coherent anti-Stokes Raman scattering (CARS)

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We present a theory for the analytic calculation of frequency-dependent polarizability gradients, and apply the methodology to the calculation of coherent anti-Stokes Raman scattering (CARS). The formalism used is based on an open-ended theory for the calculation of frequency-dependent molecular response properties of arbitrary order, also including contributions from perturbation-dependent basis sets. An important feature of our approach is the close connection between the formalism—which is fully matrix-based in an atomic orbital basis—and the implementation, allowing for the rapid implementation of higher-order molecular properties. Care is taken to allow the formalism to be utilized with linearly-scaling Hartree–Fock and density-functional theory codes. By avoiding the evaluation of responses due to geometry distortions, only 9 response equations need to be solved for the calculation of the CARS intensities, independent of the size of the molecular system. The theory is illustrated by calculations on a set of polyaromatic hydrocarbons using a DFT/B3LYP force field and Hartree–Fock polarizability gradients. Good agreement with the experimental CARS spectra of these compounds is obtained.

Graphical abstract: Analytic ab initio calculations of coherent anti-Stokes Raman scattering (CARS)

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The article was received on 14 Jul 2008, accepted on 09 Dec 2008 and first published on 09 Feb 2009

Article type: Paper
DOI: 10.1039/B812045E
Citation: Phys. Chem. Chem. Phys., 2009,11, 2293-2304
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    Analytic ab initio calculations of coherent anti-Stokes Raman scattering (CARS)

    A. J. Thorvaldsen, L. Ferrighi, K. Ruud, H. Ågren, S. Coriani and P. Jørgensen, Phys. Chem. Chem. Phys., 2009, 11, 2293
    DOI: 10.1039/B812045E

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