Magnetic moments and hyperfine-structure anomalies of Cs133, Cs134, Cs135, and Cs137

H. H. Stroke, V. Jaccarino, D. S. Edmonds, R. Weiss

    Research output: Contribution to journalArticle

    Abstract

    The atomic-beam magnetic-resonance method was used to measure the nuclear gyromagnetic ratios and hyperfine-structure separations of the radioactive isotopes Cs134, Cs135, and Cs137. A surface ionization detector was used. The hyperfine-structure separations were obtained by direct ΔF=±1 transitions near zero field. The values of Δν found for the three isotopes are: Δν(Cs134)=10 473.626±0.015ÂMc/sec, Δν(Cs135)=9 724.023±0.015ÂMc/sec, Δν(Cs137)=10 115.527±0.015ÂMc/sec. Pairs of transition belonging to the two different F-states, but involving the same mF values, constitute frequency doublets separated by 2gIμ0H. From measurements of the difference frequencies of these doublets for pairs of isotopes in fields in the vicinity of 9000 gauss, the following g-value ratios were obtained: gI(Cs135)gI(Cs133)=1.05820±0.00008, gI(Cs137)gI(Cs135)=1.04005±0.00008, gI(Cs134)gI(Cs133)=1.01447±0.00029. The hfs anomalies arising from the variation of the electron wave function over the finite distribution of nuclear magnetization were calculated from these measurements. The values found for these anomalies, defined by ε2-ε1=[g1Δν2(2I1+1)][g2Δν1×(2I2+1)]-1, are: ε(Cs133)-ε(Cs135)=+0.037±0.009%, ε(Cs135)-ε(Cs137)=-0.020±0.009%, ε(Cs133)-ε(Cs134)=+0.169±0.030%. The theory of Bohr and Weisskopf on the hfs anomalies was applied to these nuclei; the calculations are based primarily on a single-particle model with varying distributions of spin and orbital contribution to the nuclear moment. An apparent magic number effect in the anomalies was observed.

    Original languageEnglish (US)
    Pages (from-to)590-603
    Number of pages14
    JournalPhysical Review
    Volume105
    Issue number2
    DOIs
    StatePublished - 1957

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    hyperfine structure
    magnetic moments
    anomalies
    isotopes
    surface ionization
    atomic beams
    radioactive isotopes
    magnetic resonance
    wave functions
    moments
    orbitals
    magnetization
    nuclei
    detectors
    electrons

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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    Magnetic moments and hyperfine-structure anomalies of Cs133, Cs134, Cs135, and Cs137. / Stroke, H. H.; Jaccarino, V.; Edmonds, D. S.; Weiss, R.

    In: Physical Review, Vol. 105, No. 2, 1957, p. 590-603.

    Research output: Contribution to journalArticle

    Stroke, H. H. ; Jaccarino, V. ; Edmonds, D. S. ; Weiss, R. / Magnetic moments and hyperfine-structure anomalies of Cs133, Cs134, Cs135, and Cs137. In: Physical Review. 1957 ; Vol. 105, No. 2. pp. 590-603.
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    abstract = "The atomic-beam magnetic-resonance method was used to measure the nuclear gyromagnetic ratios and hyperfine-structure separations of the radioactive isotopes Cs134, Cs135, and Cs137. A surface ionization detector was used. The hyperfine-structure separations were obtained by direct ΔF=±1 transitions near zero field. The values of Δν found for the three isotopes are: Δν(Cs134)=10 473.626±0.015{\^A}Mc/sec, Δν(Cs135)=9 724.023±0.015{\^A}Mc/sec, Δν(Cs137)=10 115.527±0.015{\^A}Mc/sec. Pairs of transition belonging to the two different F-states, but involving the same mF values, constitute frequency doublets separated by 2gIμ0H. From measurements of the difference frequencies of these doublets for pairs of isotopes in fields in the vicinity of 9000 gauss, the following g-value ratios were obtained: gI(Cs135)gI(Cs133)=1.05820±0.00008, gI(Cs137)gI(Cs135)=1.04005±0.00008, gI(Cs134)gI(Cs133)=1.01447±0.00029. The hfs anomalies arising from the variation of the electron wave function over the finite distribution of nuclear magnetization were calculated from these measurements. The values found for these anomalies, defined by ε2-ε1=[g1Δν2(2I1+1)][g2Δν1×(2I2+1)]-1, are: ε(Cs133)-ε(Cs135)=+0.037±0.009{\%}, ε(Cs135)-ε(Cs137)=-0.020±0.009{\%}, ε(Cs133)-ε(Cs134)=+0.169±0.030{\%}. The theory of Bohr and Weisskopf on the hfs anomalies was applied to these nuclei; the calculations are based primarily on a single-particle model with varying distributions of spin and orbital contribution to the nuclear moment. An apparent magic number effect in the anomalies was observed.",
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    T1 - Magnetic moments and hyperfine-structure anomalies of Cs133, Cs134, Cs135, and Cs137

    AU - Stroke, H. H.

    AU - Jaccarino, V.

    AU - Edmonds, D. S.

    AU - Weiss, R.

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    N2 - The atomic-beam magnetic-resonance method was used to measure the nuclear gyromagnetic ratios and hyperfine-structure separations of the radioactive isotopes Cs134, Cs135, and Cs137. A surface ionization detector was used. The hyperfine-structure separations were obtained by direct ΔF=±1 transitions near zero field. The values of Δν found for the three isotopes are: Δν(Cs134)=10 473.626±0.015ÂMc/sec, Δν(Cs135)=9 724.023±0.015ÂMc/sec, Δν(Cs137)=10 115.527±0.015ÂMc/sec. Pairs of transition belonging to the two different F-states, but involving the same mF values, constitute frequency doublets separated by 2gIμ0H. From measurements of the difference frequencies of these doublets for pairs of isotopes in fields in the vicinity of 9000 gauss, the following g-value ratios were obtained: gI(Cs135)gI(Cs133)=1.05820±0.00008, gI(Cs137)gI(Cs135)=1.04005±0.00008, gI(Cs134)gI(Cs133)=1.01447±0.00029. The hfs anomalies arising from the variation of the electron wave function over the finite distribution of nuclear magnetization were calculated from these measurements. The values found for these anomalies, defined by ε2-ε1=[g1Δν2(2I1+1)][g2Δν1×(2I2+1)]-1, are: ε(Cs133)-ε(Cs135)=+0.037±0.009%, ε(Cs135)-ε(Cs137)=-0.020±0.009%, ε(Cs133)-ε(Cs134)=+0.169±0.030%. The theory of Bohr and Weisskopf on the hfs anomalies was applied to these nuclei; the calculations are based primarily on a single-particle model with varying distributions of spin and orbital contribution to the nuclear moment. An apparent magic number effect in the anomalies was observed.

    AB - The atomic-beam magnetic-resonance method was used to measure the nuclear gyromagnetic ratios and hyperfine-structure separations of the radioactive isotopes Cs134, Cs135, and Cs137. A surface ionization detector was used. The hyperfine-structure separations were obtained by direct ΔF=±1 transitions near zero field. The values of Δν found for the three isotopes are: Δν(Cs134)=10 473.626±0.015ÂMc/sec, Δν(Cs135)=9 724.023±0.015ÂMc/sec, Δν(Cs137)=10 115.527±0.015ÂMc/sec. Pairs of transition belonging to the two different F-states, but involving the same mF values, constitute frequency doublets separated by 2gIμ0H. From measurements of the difference frequencies of these doublets for pairs of isotopes in fields in the vicinity of 9000 gauss, the following g-value ratios were obtained: gI(Cs135)gI(Cs133)=1.05820±0.00008, gI(Cs137)gI(Cs135)=1.04005±0.00008, gI(Cs134)gI(Cs133)=1.01447±0.00029. The hfs anomalies arising from the variation of the electron wave function over the finite distribution of nuclear magnetization were calculated from these measurements. The values found for these anomalies, defined by ε2-ε1=[g1Δν2(2I1+1)][g2Δν1×(2I2+1)]-1, are: ε(Cs133)-ε(Cs135)=+0.037±0.009%, ε(Cs135)-ε(Cs137)=-0.020±0.009%, ε(Cs133)-ε(Cs134)=+0.169±0.030%. The theory of Bohr and Weisskopf on the hfs anomalies was applied to these nuclei; the calculations are based primarily on a single-particle model with varying distributions of spin and orbital contribution to the nuclear moment. An apparent magic number effect in the anomalies was observed.

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