TY - JOUR

T1 - Measurement of the electronic transition dipole moment by Autler-Townes splitting

T2 - Comparison of three- and four-level excitation schemes for the Na 2 A 1∑ u + -X 1∑ g + system

AU - Ahmed, E.

AU - Hansson, A.

AU - Qi, P.

AU - Kirova, T.

AU - Lazoudis, A.

AU - Kotochigova, S.

AU - Lyyra, A. M.

AU - Li, L.

AU - Qi, J.

AU - Magnier, S.

N1 - Funding Information:
This work was supported by National Science Foundation Awards PHY 0245311 and PHY 0216187. One of the authors (A.H.) gratefully acknowledges support from Stockholm University during her visit to Temple University. Two of the authors (A.H. and L.L.) were also supported in part by the Lagerqvist Research Fund of Temple University during their visits. One of the authors (L.L.) also acknowledges support from NSFC (20473042) and NKBRSF of China. The authors thank Professor Frank Spano for providing the computer program used for the simulations presented in this work and are grateful for valuable discussions with Professor R. W. Field.

PY - 2006

Y1 - 2006

N2 - We present a fundamentally new approach for measuring the transition dipole moment of molecular transitions, which combines the benefits of quantum interference effects, such as the Autler-Townes splitting, with the familiar R -centroid approximation. This method is superior to other experimental methods for determining the absolute value of the R -dependent electronic transition dipole moment function μe (R), since it requires only an accurate measurement of the coupling laser electric field amplitude and the determination of the Rabi frequency from an Autler-Townes split fluorescence spectral line. We illustrate this method by measuring the transition dipole moment matrix element for the Na2 A Σu+1 (v′ =25, J′ =20e) -X Σg+1 (v″ =38, J″ =21e) rovibronic transition and compare our experimental results with our ab initio calculations. We have compared the three-level (cascade) and four-level (extended Λ) excitation schemes and found that the latter is preferable in this case for two reasons. First, this excitation scheme takes advantage of the fact that the coupling field lower level is outside the thermal population range. As a result vibrational levels with larger wave function amplitudes at the outer turning point of vibration lead to larger transition dipole moment matrix elements and Rabi frequencies than those accessible from the equilibrium internuclear distance of the thermal population distribution. Second, the coupling laser can be "tuned" to different rovibronic transitions in order to determine the internuclear distance dependence of the electronic transition dipole moment function in the region of the R -centroid of each coupling laser transition. Thus the internuclear distance dependence of the transition moment function μe (R) can be determined at several very different values of the R centroid. The measured transition dipole moment matrix element for the Na2 A Σu+1 (v′ =25, J′ =20e) -X Σg+1 (v″ =38, J″ =21e) transition is 5.5±0.2 D compared to our ab initio value of 5.9 D. By using the R -centroid approximation for this transition the corresponding experimental electronic transition dipole moment is 9.72 D at Rc =4.81 Å, in good agreement with our ab initio value of 10.55 D.

AB - We present a fundamentally new approach for measuring the transition dipole moment of molecular transitions, which combines the benefits of quantum interference effects, such as the Autler-Townes splitting, with the familiar R -centroid approximation. This method is superior to other experimental methods for determining the absolute value of the R -dependent electronic transition dipole moment function μe (R), since it requires only an accurate measurement of the coupling laser electric field amplitude and the determination of the Rabi frequency from an Autler-Townes split fluorescence spectral line. We illustrate this method by measuring the transition dipole moment matrix element for the Na2 A Σu+1 (v′ =25, J′ =20e) -X Σg+1 (v″ =38, J″ =21e) rovibronic transition and compare our experimental results with our ab initio calculations. We have compared the three-level (cascade) and four-level (extended Λ) excitation schemes and found that the latter is preferable in this case for two reasons. First, this excitation scheme takes advantage of the fact that the coupling field lower level is outside the thermal population range. As a result vibrational levels with larger wave function amplitudes at the outer turning point of vibration lead to larger transition dipole moment matrix elements and Rabi frequencies than those accessible from the equilibrium internuclear distance of the thermal population distribution. Second, the coupling laser can be "tuned" to different rovibronic transitions in order to determine the internuclear distance dependence of the electronic transition dipole moment function in the region of the R -centroid of each coupling laser transition. Thus the internuclear distance dependence of the transition moment function μe (R) can be determined at several very different values of the R centroid. The measured transition dipole moment matrix element for the Na2 A Σu+1 (v′ =25, J′ =20e) -X Σg+1 (v″ =38, J″ =21e) transition is 5.5±0.2 D compared to our ab initio value of 5.9 D. By using the R -centroid approximation for this transition the corresponding experimental electronic transition dipole moment is 9.72 D at Rc =4.81 Å, in good agreement with our ab initio value of 10.55 D.

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U2 - 10.1063/1.2164454

DO - 10.1063/1.2164454

M3 - Article

AN - SCOPUS:33644607329

VL - 124

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 8

M1 - 084308

ER -