1984
DOI: 10.1364/josab.1.000052
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Two-photon electric-dipole selection rules

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Cited by 159 publications
(128 citation statements)
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“…The states accessed via two-photon transitions are dark states for the 1PA process (see Table I), what is due to its molecular symmetry (centrosymmetry) and the distinct selection rules of the one-and two-photon absorption processes. 54 The theoretical results indicate four 2PA allowed states for b-apo-8 0 -carotenal, located at 472, 329, 317, and 273 nm. In this case, the 2PA allowed states are slightly allowed via 1PA, while the strongly 1PA allowed state S 1 is only slightly allowed via 2PA, as expected due to the relaxation of the electric-dipole selection rules for noncentrosymmetric molecules, 54 such as b-apo-8 0 -carotenal.…”
Section: -mentioning
confidence: 92%
“…The states accessed via two-photon transitions are dark states for the 1PA process (see Table I), what is due to its molecular symmetry (centrosymmetry) and the distinct selection rules of the one-and two-photon absorption processes. 54 The theoretical results indicate four 2PA allowed states for b-apo-8 0 -carotenal, located at 472, 329, 317, and 273 nm. In this case, the 2PA allowed states are slightly allowed via 1PA, while the strongly 1PA allowed state S 1 is only slightly allowed via 2PA, as expected due to the relaxation of the electric-dipole selection rules for noncentrosymmetric molecules, 54 such as b-apo-8 0 -carotenal.…”
Section: -mentioning
confidence: 92%
“…Additionally, the 3PA spectra for compounds II, III and IV present a band around 1180 nm that correspond to an one-photon allowed state located between 380 -400 nm. Such transitions are allowed because the electric-dipole selection rules [18] are the same to both types of process (1PA and 3PA). To confirm the actual three-photon absorption nature of the observed results (Fig.…”
Section: Resultsmentioning
confidence: 99%
“…In addition, we observed the presence of a 3PA band around 1180 nm for the compounds II, III and IV, which correspond to one-photon allowed state located in the UV-blue region. These transitions are 3PA allowed since the electric-dipole selection rules [18] are the same for both types of process (1PA and 3PA). Employing the sum-overessential-states approach, we were able to associate the 3PA cross-section exhibited by the platinum acetylide complexes to basically two dominant contributions: one relate to a change in the permanent dipole moment and other one corresponding to a three-photon transition intermediate by a two-photon allowed state.…”
Section: Resultsmentioning
confidence: 99%
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“…As a consequence of the fact that photons obey Bose-Einstein statistics, atomic 2E1, J ¼ 1 ! J 0 ¼ 0 amplitudes are forbidden for photons of the same energy [17,27]. As a result, the continuum distribution of the twophoton decay of the 3 S 1 level is suppressed at the midpoint where the two photons would share the transition energy equally.…”
Section: Introductionmentioning
confidence: 99%