Physical Review A

Doppler-free three-photon spectroscopy of 3 snf Rydberg states of Mg

R. Beigang, D. Schmidt, Andre Timmermann

Published May 1, 1984• 10 citations

Abstract

High-resolution two-photon resonant three-photon spectroscopy was applied to investigate the 3 $\mathrm{snf}$ Rydberg series of Mg. Hyperfine-induced level shifts were detected for the $^{1,3}F$ states of the odd isotope $^{25}\mathrm{Mg}$. From these measurements the hyperfine coupling constant ${a}_{3s}$ of the $^{25}\mathrm{Mg}^{+}$-ion ground state was derived.

DOI: 10.1103/physreva.29.2581

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Physical Review A

Doppler-free three-photon spectroscopy of 3 snf Rydberg states of Mg

R. Beigang, D. Schmidt, Andre Timmermann

Published May 1, 1984• 10 citations

Publisher

Abstract

High-resolution two-photon resonant three-photon spectroscopy was applied to investigate the 3

\mathrm{snf}

Rydberg series of Mg. Hyperfine-induced level shifts were detected for the

^{1,3}F

states of the odd isotope

^{25}\mathrm{Mg}

. From these measurements the hyperfine coupling constant

{a}_{3s}

of the

^{25}\mathrm{Mg}^{+}

-ion ground state was derived.

DOI: 10.1103/physreva.29.2581

Related papers

High-Resolution Three-Photon Spectroscopy of 6s15pP11,3 Rydberg States of Yb

U. Majewski, Jörg Neukammer, Herbert H. Rinneberg

High-resolution three-photon laser spectroscopy has been performed for the first time to gain new spectroscopic information. Starting from the $6{s}^{2}^{1}S_{0}$ ground state of Yb, $6s15p^{1,3}P_{1}$ Rydberg states were populated by two-photon-resonant, three-photon absorption via the $6s7s^{1}S_{0}$ intermediate level. As a result of two-photon line narrowing Doppler-free spectra, showing well resolved isotope shifts and hyperfine structures, were obtained. From the hyperfine coupling constants $^{171,173}A(^{1}P_{1})$ the singlet-triplet mixing was derived.High-resolution three-photon laser spectroscopy has been performed for the first time to gain new spectroscopic information. Starting from the $6{s}^{2}^{1}S_{0}$ ground state of Yb, $6s15p^{1,3}P_{1}$ Rydberg states were populated by two-photon-resonant, three-photon absorption via the $6s7s^{1}S_{0}$ intermediate level. As a result of two-photon line narrowing Doppler-free spectra, showing well resolved isotope shifts and hyperfine structures, were obtained. From the hyperfine coupling constants $^{171,173}A(^{1}P_{1})$ the singlet-triplet mixing was derived.

Physical Review LettersOct 10, 198316 citations

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Spectroscopy of Sr 87 triplet Rydberg states

Roger Ding, J. D. Whalen, S. K. Kanungo +4 more

A combined experimental and theoretical spectroscopic study of high-$n, 30\ensuremath{\lesssim}n\ensuremath{\lesssim}100$, triplet $S$ and $D$ Rydberg states in $^{87}\mathrm{Sr}$ is presented. $^{87}\mathrm{Sr}$ has a large nuclear spin $I=9/2$ , and at high- $n$ the hyperfine interaction becomes comparable to, or even larger than, the fine structure and singlet-triplet splittings, which poses a considerable challenge both for precision spectroscopy and for theory. For high- $n S$ states, the hyperfine shifts are evaluated nonperturbatively, taking advantage of earlier spectroscopic data for the $I=0$ isotope $^{88}\mathrm{Sr}$ , which results in good agreement with the present measurements. For the $D$ states, this procedure is reversed by first extracting from the present $^{87}\mathrm{Sr}$ measurements the energies of the ${}^{3}{D}_{1,2,3}$ states to be expected for isotopes without hyperfine structure ( $^{88}\mathrm{Sr}$ ), which allows the determination of corrected quantum defects in the high- $n$ limit.A combined experimental and theoretical spectroscopic study of high-$n, 30\ensuremath{\lesssim}n\ensuremath{\lesssim}100$, triplet $S$ and $D$ Rydberg states in $^{87}\mathrm{Sr}$ is presented. $^{87}\mathrm{Sr}$ has a large nuclear spin $I=9/2$, and at high-$n$ the hyperfine interaction becomes comparable to, or even larger than, the fine structure and singlet-triplet splittings, which poses a considerable challenge both for precision spectroscopy and for theory. For high-$n S$ states, the hyperfine shifts are evaluated nonperturbatively, taking advantage of earlier spectroscopic data for the $I=0$ isotope $^{88}\mathrm{Sr}$, which results in good agreement with the present measurements. For the $D$ states, this procedure is reversed by first extracting from the present $^{87}\mathrm{Sr}$ measurements the energies of the ${}^{3}{D}_{1,2,3}$ states to be expected for isotopes without hyperfine structure ($^{88}\mathrm{Sr}$), which allows the determination of corrected quantum defects in the high-$n$ limit.

arXiv:1808.05987Physical Review AOct 12, 201823 citations

High-resolution two-photon resonant three-photon spectroscopy was applied to investigate the 3

\mathrm{snf}

Rydberg series of Mg. Hyperfine-induced level shifts were detected for the

^{1,3}F

states of the odd isotope

^{25}\mathrm{Mg}

. From these measurements the hyperfine coupling constant

{a}_{3s}

of the

^{25}\mathrm{Mg}^{+}

-ion ground state was derived.

High-resolution three-photon laser spectroscopy has been performed for the first time to gain new spectroscopic information. Starting from the $6{s}^{2}^{1}S_{0}$ ground state of Yb,

6s15p^{1,3}P_{1}

Rydberg states were populated by two-photon-resonant, three-photon absorption via the

6s7s^{1}S_{0}

intermediate level. As a result of two-photon line narrowing Doppler-free spectra, showing well resolved isotope shifts and hyperfine structures, were obtained. From the hyperfine coupling constants

^{171,173}A(^{1}P_{1})

the singlet-triplet mixing was derived.

Doppler-free two-photon spectroscopy was applied to excite hyperfine-induced transitions from the $5{s}^{2}^{1}S_{0}$ ground state to the

F=I

component of the hyperfine multiplet of the

5sns^{3}S_{1}

Rydberg series of

^{87}\mathrm{Sr}

(

n=50,\dots{},85

). The experimental data confirm the interpretation of hyperfine-induced singlet-triplet mixing which is related to the singlet-triplet energy separation.

A combined experimental and theoretical spectroscopic study of high-$n, 30\ensuremath{\lesssim}n\ensuremath{\lesssim}100$, triplet

S

and

D

Rydberg states in

^{87}\mathrm{Sr}

is presented.

^{87}\mathrm{Sr}

has a large nuclear spin

I=9/2

, and at high-

n

the hyperfine interaction becomes comparable to, or even larger than, the fine structure and singlet-triplet splittings, which poses a considerable challenge both for precision spectroscopy and for theory. For high-

n S

states, the hyperfine shifts are evaluated nonperturbatively, taking advantage of earlier spectroscopic data for the

I=0

isotope

^{88}\mathrm{Sr}

, which results in good agreement with the present measurements. For the

D

states, this procedure is reversed by first extracting from the present

^{87}\mathrm{Sr}

measurements the energies of the

{}^{3}{D}_{1,2,3}

states to be expected for isotopes without hyperfine structure (

^{88}\mathrm{Sr}

), which allows the determination of corrected quantum defects in the high-

n

limit.