1998
DOI: 10.1002/(sici)1097-461x(1998)70:1<219::aid-qua19>3.0.co;2-9
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Some recent developments of high-order response theory

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Cited by 34 publications
(20 citation statements)
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“…, is in a good agreement with ab initio result of the quadratic response (QR) calculation with large active space at the multiconfiguration self‐consistent field (MC SCF) level (4.6 × 10 −4 μ B ). The semiempirical value is also in a reasonable accord with the vertical transition moment |μ a − X ,1 | = 0.0025 μ B , calculated by QR method . The |μ a − X ,1 l | term is larger than the |μ b − X ,1 l | magnetic orbital contribution by 6.3 times.…”
Section: Analysis Of Intensity Of the Dioxygen Weak Bands In Gas Phasesupporting
confidence: 85%
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“…, is in a good agreement with ab initio result of the quadratic response (QR) calculation with large active space at the multiconfiguration self‐consistent field (MC SCF) level (4.6 × 10 −4 μ B ). The semiempirical value is also in a reasonable accord with the vertical transition moment |μ a − X ,1 | = 0.0025 μ B , calculated by QR method . The |μ a − X ,1 l | term is larger than the |μ b − X ,1 l | magnetic orbital contribution by 6.3 times.…”
Section: Analysis Of Intensity Of the Dioxygen Weak Bands In Gas Phasesupporting
confidence: 85%
“…But still the a − X ,1 transition is very weak; the radiative rate constant for spontaneous emission (or Einstein A coefficient) calculated with the magnetic dipole transition moment, Eq. , provides k a → X = 8.3 × 10 −5 s −1 , being close to results of QR methods . The ab initio calculations of Klotz et al give |μ a − X ,1 | = 0.00376 μ B and k a − X = 1.897 × 10 −4 s −1 , which is in a reasonable agreement with the most recent experimental value of Newman et al (2.19 × 10 −4 s −1 ) …”
Section: Analysis Of Intensity Of the Dioxygen Weak Bands In Gas Phasesupporting
confidence: 85%
“…A key element of response theory is that the usual sum-over-excited-state algorithm is replaced by a set of linear equations that can be performed without prior knowledge of the excited states. 130 This renders the method useful for treating large molecular systems described by approximate wave functions, and molecular properties can calculated analytically. 108,[131][132][133] We note that several other strategies are also available for the computation of phosphorescence phenomenon, such as the variational perturbation theory 134 and spin-orbit coupling configuration interaction (SOC-CI) 135,136 approaches.…”
Section: Response Theory Approachmentioning
confidence: 99%
“…Theoretical studies of phosphorescence requires an analysis of the excited state electronic structure with account of internal magnetic interactions and vibronic perturbations, the spontaneous emission, and nonradiative quenching channels. The common nonrelativistic Born–Oppenheimer approximation and perturbation theory, and in particular the quadratic response (QR) formalism, can be used as a starting approach where the phosphorescence acquires dipole activity via spin–orbit coupling (SOC). On that basis, it is readily possible to calculate radiative rate constants and phosphorescence radiative lifetimes as well as to estimate the role of nonradiative processes under the degradation of the first excited triplet state .…”
Section: Introductionmentioning
confidence: 99%