Ove Christiansen
Department of Chemistry, University of Aarhus, Langelandsgade 140, DK-8000 Aarhus C, Denmark

Sonia Coriani
Dipartimento di Scienze Chimiche, Universita degli Studi di Trieste, Via L. Giorgieri 1, I-34127 Trieste, Italy

Jürgen Gauss
Institut für Physikalische Chemie, Universität Mainz, D-5509 Mainz, Germany

Christof Hättig
Forschungszentrum Karlsruhe, Institute of Nanotechnology, P.O. Box 3640,D-76021 Karlsruhe, Germany

Poul Jørgensen
Department of Chemistry, University of Aarhus, Langelandsgade 140, DK-8000 Aarhus C, Denmark

Filip Pawlowski
Department of Chemistry, Unversity of Oslo, P. O. Box 1033 Blindern, N-0315 Oslo, Norway

Antonio Rizzo
Istituto per i Processi Chimico-Fisici del Consiglio Nazionale delle Ricerche, Area della Ricerca, via G. Moruzzi 1, loc. S. Cataldo, I-56124 Pisa, Italy

During the last decade it became possible to calculate by quantum chemical ab initio methods not only static but also frequency-dependent properties with high accuracy. Today, the most important tools for such calculations are coupled cluster response methods in combination with systematic hierarchies of correlation consistent basis sets. Coupled cluster response methods combine a computationally efficient treatment of electron correlation with a qualitatively correct pole structure and frequency dispersion of the response functions. Both are improved systematically within a hierarchy of coupled cluster models. The present contribution reviews recent advances in the highly accurate calculation of frequency-dependent properties of atoms and small molecules, electronic structure methods, basis set convergence and extrapolation techniques. Reported applications include first and second hyperpolarizabilities, Faraday, Buckingham and Cotton-Mouton effects as well as Jones and magneto-electric birefringence.

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• Frequency-dependent first hyperpolarizabilities using coupled cluster quadratic response theory
  
  
• Frequency-dependent first hyperpolarizabilities using coupled cluster quadratic response theory
  
  
• Response functions from Fourier component variational perturbation theory applied to a time-averaged quasienergy
  
  
• Coupled Cluster calculations of Verdet Constants
  
  
• Frequency-dependent second hyperpolarizabilities using coupled cluster cubic response theory
  
  
• Estimate of the experimental static hyperpolarizability of Neon based on coupled cluster response calculations
  
  
• Multiphoton transition moments and absorption cross sections in coupled cluster response theory employing variational transition moment functional
  
  
• Coupled cluster response calculations of twophoton transition probability rate constants for helium, neon and argon
  
  
• Dispersion formulas for hyperpolarizability averages
  
  
• Coupled cluster calculations of the frequency-dependent second hyperpolarizabilities of Ne, Ar, N2 and CH4
  
  
• A basis set study of coupled cluster and full configuration interaction calculations of molecular electric properties of BH
  
  
• Dispersion coefficients for first hyperpolarizabilities using coupled cluster quadratic response theory
  
  
• Derivation of coupled cluster excited states response functions and multiphoton transition moments between two excited states as derivatives of variational functionals
  
  
• Static and frequency-dependent polarizabilities of the lowest excited states of s-tetrazine and pyrimidine using coupled cluster response theory
  
  
• Ground and excited state polarizabilities and dipole transition moments of benzene from coupled cluster response theory
  
  
• Dispersion formulas for the second hyperpolarizability components
  
  
• Dispersion coefficients for second hyperpolarizabilities using coupled cluster cubic response theory
  
  
• Coupled cluster investigation of the electric field gradient induced birefringence of H2, N2, CH4 and C2H4
  
  
• Polarizabilities and first hyperpolarizabilities of HF, Ne and BH from full configuration interaction and coupled cluster calculations
  
  
• Dispersion coefficients for polarizabilities, and first and second hyperpolarizabilities using full configuration interaction theory
  
  
• The electric-field-gradient-induced birefringence of Helium, Neon, Argon and SF6
  
  
• Correlated frequency-dependent first hyperpolarizability of small push-pull conjugated chains
  
  
• Ab initio study of the electric-field-gradient-induced birefringence of a polar molecule: CO
  
  

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