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Journal of the Optical Society of America

Stark Shift in the 6s6p^3P_1 State of Mercury

R. Kaul, William S. Latshaw

Published May 1, 1972• 11 citations
Publisher

Abstract

We have measured the differential Stark shift in the 6s6p3P1 state of mercury. The technique we used was to measure the shift in the magnetic-field level crossing in 199Hg when an additional electric field was applied. We obtained the value E(mJ = ±1) − E(mJ = 0) = −2.367 ± 0.024 kHz/(kV/cm)2 · ∊2, where ∊ is the electric field.

DOI
10.1364/josa.62.000615

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Physical Review•Nov 15, 1965•16 citations
We have measured the differential Stark shift in the 6s6p3P1 state of mercury. The technique we used was to measure the shift in the magnetic-field level crossing in 199Hg when an additional electric field was applied. We obtained the value E(mJ = ±1) − E(mJ = 0) = −2.367 ± 0.024 kHz/(kV/cm)2 · ∊2, where ∊ is the electric field.
The Stark shift of the (6s) 2 1 S 0 to (6s6p) 3 P 1 transition in ytterbium was measured using a laser to excite an atomic beam first in a uniform electric field and subsequently in a field-free region. The laser frequency was scanned across the transition while fluorescence produced by the radiative decay of the excited state was detected. The frequency scan was calibrated using isotope and hyperfine splittings that have been measured previously. The Stark shift rate was found to be -15.419+or-0.048 kHz kV -2 cm -2 and the tensor polarizability of the (6s6p) 3 P 1 state was determined to be alpha 2 =5.81+or-0.13 kHz kV -2 cm -2 .
The Stark shift of the (6s)2{)}^{2})2 1^{1}1S0{\mathit{S}}_{0}S0​\ensuremath{\rightarrow}(6s6p)1{)}^{1})1P1{\mathit{P}}_{1}P1​ transition in barium was measured using a laser to excite an atomic beam as it traversed a uniform electric field and a field-free region. The laser frequency was scanned across the transition while fluorescence produced by the radiative decay of the excited state was detected. The frequency scan was calibrated using an acousto-optic modulator which frequency shifted the laser by a specified amount. The Stark-shift rate was found to be -28.532\ifmmode\pm\else\textpm\fi{}0.060 kHz/(kV/cm)2{)}^{2})2. The hyperfine splitting of the 135,137Ba^{135,137}\mathrm{Ba}135,137Ba F=1/2 level relative to 138Ba^{138}\mathrm{Ba}138Ba of the (6s6p)1{)}^{1})1P1{\mathit{P}}_{1}P1​ state was determined to be -549.47\ifmmode\pm\else\textpm\fi{}0.12 MHz, where the minus sign indicates that the 138Ba^{138}\mathrm{Ba}138Ba transition is at a lower frequency.
A Stark effect experiment is presented, which involves the recording of transients in radiation resonantly scattered by a vapour, following the sudden application of an electric field pulse. The theory of this effect is developed from the case where a general step-function perturbation is applied. The transients have the form of damped sinusoidal oscillations: the damping is determined by the rate of radiative decay; the modulation frequencies depend directly on the energy-level splittings caused by the applied field. This technique has been to measure the magnitude and sign of the differential Stark shifts in the 6 3 P 1 level of 198 Hg and 199 Hg. These lead to a value for the tensor polarizability which is in good agreement with recent measurements. Results are presented of a calculation of the polarizabilities of the 6 3 P 1 and 6 1 S 0 levels based on experimental oscillator strengths.
Observing the change of the Hanle effect under the influence of a homogeneous electric field E the Stark effect of the (5p1/25d5/2)j=2-state in Sn I was studied. Due to the tensorial part β Jz 2E2 in the Hamiltonian of the second order Stark effect the signal of the zero field crossing (M ∓ 2, M′ = 0 β ≷ 0 ) is shifted to the magnetic field H with gJμBH=2 | β | E2. From these shifts for different electric field strengths the value of the Stark parameter |β| = 0.21(2) MHz/(kV/cm)2 · gJ/1.13 was deduced. A theoretical value of ß using Coulomb wave functions is discussed.
In the spectral range between 480 nm and 630 nm the Stark effect of the transitions n1Q-21S, n1Q-21P and n3Q-23P(n=3÷9, Q=S, P,...) was studied using electric field up to 1500 kV/cm. For such a high field the Stark splitting becomes greater than the simple structure of the atom. Hence, anticrossings of the Stark components of the same magnetic quantum number occur. The experimental results have been compared with the theoretically determined shifts. The results of caluclations show good agreement with observation not only for low field values, but also in high fields and in case of level anticrossings.
The method of level-crossing spectroscopy has been extended to a study of the Stark effect on the 3P3P3P term of lithium. Lithium atoms in a broad atomic beam are subjected to collinear electric and magnetic fields. The field values required to produce a level crossing or degeneracy are determined by observing the change in the angular distribution of the fluorescence resulting from the optical excitation of the 3P3P3P term. The magnetic field required to produce the crossing is found to shift to higher values as the electric field is applied. The shift increases as the square of the electric field and is given by $\ensuremath{\Delta}H=+0.056(11){E}^{2}$, where $\ensuremath{\Delta}H$ is in gauss and EEE is in kilovolts per centimeter. The coefficient is in good agreement with the value 0.048 obtained from second-order perturbation theory and the Bates and Damgaard approximation.