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Zeitschrift für Naturforschung A

Ein Level-Crossing-Experiment im angeregten (5p1/2 5d5/2)J=2-Term des Sn I zur Untersuchung der Energieverschiebungen im elektrischen Feld / Level-Crossing Experiment in the Excited (5p1/25d5/2)J=2-State of the Sn I for the Investigation of the Energy Shifts in an Electric Field

P. Zimmermann

Published May 1, 1970• 1 citation
Publisher

Abstract

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.

DOI
10.1515/zna-1970-0506

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Stark-Effekt-Untersuchung der Hyperfeinstruktur des 3 2P3/2-Zustands von Natrium mit der Level-crossing-Methode / Stark-Effect Investigation of the Hyperfine Structure of the 3 2P3/2-State of Sodium by Level-Crossing-Method

D. Zimmermann

Abstract The level-crossing-method has been used for an investigation of the hyperfine structure of the first excited 3 2P3/2-state of sodium applying an additional electric field parallel to the usual mag. netic field. By means of a detailed analysis of the measured change in intensity of the scattered fluorescence light due to the electric field the constant β of the quadratic Stark-effect of the 3 2P3/2-state of sodium was deduced to be β= (10.8± 1.2) kc/s·(kV/cm)2. The experimental result will be discussed with respect to a determination of upper and lower limits for oscillator strengths of transitions between the 3 2P3/2-state and S-states in the sodium spectrum.

Zeitschrift für Naturforschung A•Feb 1, 1970•5 citations

Untersuchung des 5p2P3/2-Terms im Silber I-Spektrum durch Resonanzstreuung von Licht in elektrischen und magnetischen Feldern

Hans Bucka, D. Einfeld, J. Ney +1 more

Abstract Using separated isotopes the hyperfine structure of the 5p 2P3/2-state in Ag I-spectrum was investigated by scattering the resonance line on an atomic beam in parallel magnetic and electric fields. With the theoretical positive sign of the Stark-constant β, the shift of the Heydenburg- and level-crossing-signals with electric fields can be explained by the following parameters: Ag (107) : A = - (32,4 ± 0.5) Mc/sec , Ag (109): A - - (37,3 ± 0.8) Mc/sec , β (2P3/2) = (5.15 ± 0.15) (kc/sec) (kV/cm) -2 , τ (2p3/2) = (6.3 ± 0.6 ) · 10-9 sec.

Zeitschrift für Naturforschung A•Jun 1, 1971•9 citations

The low-field stark effect of hydrogen, n=2

K J Kollath

The nonlinear low-field Stark effect in the level n=2 of hydrogen has been investigated. \nThe experiment employed the level crossing technique, measuring the position of the crossings between the Zeeman states: \n2P3/2, mj=-3/2 and 2P1/2, mj=1/2; and \n2P3/2, mj=-3/2 and 2S1/2, mj=1/2; \nas the electric field was varied from 0 to 500 kV/m. \nA beam of atomic hydrogen, produced by thermal dissociation, was subjected to parallel electric and magnetic fields. Lymman –α (Lyα) resonance radiation was generated in an electrodeless microwave discharge lamp. The profile of the Lyα line emitted by the lamp has been investigated experimentally. \nThe level crossings were detected as changes of the Lyα resonance fluorescence intensity observed in a certain direction. The crossing positions were determined from the observed crossing signals of Lorentzian profile by a least squares computer programme. \nThe experimental results for the crossing positions as afuction of the electric field have been compared with theoretical calculations. The theoretical values were obtained by numerical diagonalization of the matrix of the eigenstates |2ℓjFmF> for perturbation by combined electric and magnetic fields. Radiative corrections were included. \nTheoretical values and experimental results agreo within the experimental uncertainties of 2%.

•Jan 1, 1974•0 citations

Level-Crossing Spectroscopy with an Electric Field: Stark Shift of the 3P2 Term in Lithium

B. Budick, S. Marcus, Robert Novick

The method of level-crossing spectroscopy has been extended to a study of the Stark effect on the $3P$ 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 $3P$ 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 $E$ 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.

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Physica Scripta•Mar 1, 1972•14 citations

Level-crossing-Experiment zur Untersuchung des Einflusses eines elektrischen Feldes auf die Hyperfeinstruktur des 4p 2 P 3/2-Terms im Cu I-Spektrum

Hans Bucka, W. Kr�tschmer, V. Metag +1 more

The European Physical Journal A•Feb 1, 1969•1 citation
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.
Abstract The level-crossing-method has been used for an investigation of the hyperfine structure of the first excited 3 2P3/2-state of sodium applying an additional electric field parallel to the usual mag. netic field. By means of a detailed analysis of the measured change in intensity of the scattered fluorescence light due to the electric field the constant β of the quadratic Stark-effect of the 3 2P3/2-state of sodium was deduced to be β= (10.8± 1.2) kc/s·(kV/cm)2. The experimental result will be discussed with respect to a determination of upper and lower limits for oscillator strengths of transitions between the 3 2P3/2-state and S-states in the sodium spectrum.
Abstract Using separated isotopes the hyperfine structure of the 5p 2P3/2-state in Ag I-spectrum was investigated by scattering the resonance line on an atomic beam in parallel magnetic and electric fields. With the theoretical positive sign of the Stark-constant β, the shift of the Heydenburg- and level-crossing-signals with electric fields can be explained by the following parameters: Ag (107) : A = - (32,4 ± 0.5) Mc/sec , Ag (109): A - - (37,3 ± 0.8) Mc/sec , β (2P3/2) = (5.15 ± 0.15) (kc/sec) (kV/cm) -2 , τ (2p3/2) = (6.3 ± 0.6 ) · 10-9 sec.
The nonlinear low-field Stark effect in the level n=2 of hydrogen has been investigated. \nThe experiment employed the level crossing technique, measuring the position of the crossings between the Zeeman states: \n2P3/2, mj=-3/2 and 2P1/2, mj=1/2; and \n2P3/2, mj=-3/2 and 2S1/2, mj=1/2; \nas the electric field was varied from 0 to 500 kV/m. \nA beam of atomic hydrogen, produced by thermal dissociation, was subjected to parallel electric and magnetic fields. Lymman –α (Lyα) resonance radiation was generated in an electrodeless microwave discharge lamp. The profile of the Lyα line emitted by the lamp has been investigated experimentally. \nThe level crossings were detected as changes of the Lyα resonance fluorescence intensity observed in a certain direction. The crossing positions were determined from the observed crossing signals of Lorentzian profile by a least squares computer programme. \nThe experimental results for the crossing positions as afuction of the electric field have been compared with theoretical calculations. The theoretical values were obtained by numerical diagonalization of the matrix of the eigenstates |2ℓjFmF> for perturbation by combined electric and magnetic fields. Radiative corrections were included. \nTheoretical values and experimental results agreo within the experimental uncertainties of 2%.
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.