Oscillator strengths for Rydberg states in ArH calculated in QDT approximation

Alcheev, P.G.; Buenker, Robert J.; Chernov, V. E.; Zon, B. A.

doi:10.1016/s0022-2852(02)00091-7

Cited by 14 publications

(10 citation statements)

References 28 publications

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“…In [3,4], these functions were used for the description of the Rydberg states of polar molecules within the framework of the Born-Oppenheimer rotational approximation. In [14,17], the oscillator strengths of excimer molecules were calculated with their help. In [18], they were used for studying the photodecay of atomic anions in a strong field, and, in [13,19], for studying the single-photon photodecay of dipole-bound molecular anions.…”

Section: Born-oppenheimer Rotational Approximationmentioning

confidence: 99%

“…The passage to the spherically symmetric limiting case of zero dipole moment, ᐉ(ᐉ + 1), (17) uniquely determines the solution of the homogeneous difference problem (15), (17) on finding the eigenvalues η ᐉl . Because, at l ∞, the off-diagonal terms in (15) are much smaller than the diagonal ones, we can immediately state that…”

Section: Born-oppenheimer Rotational Approximationmentioning

confidence: 99%

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10.1007/s11449-008-1005-1

2010

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The rotational Rydberg states of polar molecules, which arise as a result of the interaction of a Rydberg electron with core rotations, are considered. A large number of angular momenta in the core-electron system lead to a considerably greater number of possible coupling schemes of these momenta compared to the number of schemes determined by the classical five Hund's cases for lower excited electron states of molecules. As a result of such detailed Hund's classification, more than 30 different coupling schemes (Hund's subcases) are constructed for rotational Rydberg states of molecules. The conditions of their realization are indicated in terms of the relative quantities of intramolecular interactions, for which analytical estimates are presented. For a large number of subcases, analytical expressions for the molecular matrix elements are found. These expressions can be useful in classification of the experimental spectra of highly excited molecules. As an application, for each of the subcases considered, analytical expressions are given, which describe the linear Zeeman effect and the Paschen-Back effect.

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Section: Born-oppenheimer Rotational Approximationmentioning

confidence: 99%

Section: Born-oppenheimer Rotational Approximationmentioning

confidence: 99%

10.1007/s11449-008-1005-1

2010

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“…In the case of the lowest multipole, i.e. dipole, moment, such combinations were used, for instance, in calculation of oscillator strengths in polar molecules [17]. Calculation of the polarizabilities of polar molecules is expected to be the subject of the sequel paper.…”

Section: λ(ȧ)mentioning

confidence: 99%

“…The rare exceptions are, e.g., excimer molecules of noble gas hydrides whose oscillator strengths are successively calculated in QDT framework [17]. Since the low-excited molecular states are reliably described by ab initio methods, it seems advisable to combine the advantages of both methods.…”

Section: Introductionmentioning

confidence: 99%

Molecular polarizability in quantum defect theory: Non-polar molecules

Akindinova

Chernov

et al. 2009

JCM

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The Green function in the quantum defect theory provides an exact account for the high-excited and continuum electronic states. We modify it by taking into account the ground and low-excited states using their wavefunctions calculated ab initio. As an application we present simple and efficient semi-analytical method for calculation of dynamic polarizabilities of nonpolar molecules. The method is applied to alkali dimers Li2, Na2 and Rb2. The result of benchmark calculation (H2 molecule) are in good agreement with experimental data; the accuracy achieved is comparable with that of ab initio calculations. We also calculate Verdet constants of the above molecules in Becquerel approximation.

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“…The oscillator strengths of excimer Rydberg molecules were calculated with the help of the dipole-spherical functions in Refs. [25,26]. These functions were also used for studying the photodetachment of atomic anions in a strong field [27], and for studying the single-photon photodetachment of dipole-bound molecular anions [28,29].…”

Section: Introductionmentioning

confidence: 99%

Molecular polarizability in quantum defect theory: polar molecules

et al. 2010

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The reduced-added Green's function technique in the quantum defect theory combines the advantages of analytical and ab initio methods in calculating frequency-dependent (dynamic) polarizabilities of atoms and molecules, providing an exact account for the high-excited and continuum electronic states. In the present paper this technique is modified to take into account the long-range dipole potential of a polar molecule core. The method developed is applied to calculation of the dynamic polarizability tensors of alkali-metal hydrides LiH and NaH as well as to some fluorides (CaF and BF) in the frequency range up to the first resonances. The results are in good agreement with ab initio calculations available for some frequencies.

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Oscillator strengths for Rydberg states in ArH calculated in QDT approximation

Cited by 14 publications

References 28 publications

10.1007/s11449-008-1005-1

10.1007/s11449-008-1005-1

Molecular polarizability in quantum defect theory: Non-polar molecules

Molecular polarizability in quantum defect theory: polar molecules

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