The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index; none of the 9 sources its claims cite is checked for support yet.
Determination of the g-Factor of Single Hydrogen-Like Ions by Mode Coupling in a Penning Trap
Open accessAbstract
A method has been developed and applied for the determination of the electronic g -factor of single hydrogen-like ions stored in a Penning trap. The method is based on mode coupling of the ion trapping motions and is conceptionally advantageous as compared to previously used methods. It has been applied to hydrogen-like oxygen 16 O 7+ and yields a value for the g J -factor which is in agreement with previously determined values. Experimental requirements and possibilities of the new method are discussed.
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Claims the paper makes
0 of 9 cited sources checked · 0 supported · 0 flagged
- Findingnone given
The new method is based on coupling the cyclotron mode to the axial mode by an electric rf field of quadrupolar geometry.
“It is based on coupling the cyclotron mode to the axial mode by an electric rf field of quadrupolar geometry.”
Quote in the paperSubstantial claim - Findingreasoning
For 16O7+, the g-factor determined by the new method is 2.0000470208(24)(44).
“By use of Eq. ( 4) and of the electron mass m e ¼ 0:000 548 579 911 0ð12Þu from the present CODATA compilation of fundamental constants [19], the resulting value for 16 O 7þ has been determined to g ¼ 2:000 047 020 8 ð24Þð44Þ.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [19] 19. Mohr, P. J. and Taylor, B. N., Rev. Mod. Phys. 72, 351 (2000).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- The authors state this as an assumption: The motional energies of the ion are distributed according to Boltzmann factors at an effective temperature.
- Findingnone given
The method is based on mode coupling of the ion trapping motions.
“The method is based on mode coupling of the ion trapping motions and is conceptionally advantageous as compared to previously used methods.”
Quote in the paperSubstantial claim - Findingnone given
With the new method employed in the present experimental setup, the measuring time necessary to obtain a g-factor result with the same precision is roughly 5 times less than in the previous method.
“With the new method employed to the present experimental setup the measuring time necessary to obtain a result on the g-factor with the same precision is roughly 5 times less than in the previous method.”
Quote in the paperSubstantial claim - Findingown data
A method for determining the electronic g-factor of single hydrogen-like ions stored in a Penning trap has been developed and applied.
“A method has been developed and applied for the determination of the electronic g-factor of single hydrogen-like ions stored in a Penning trap.”
Quote in the paperSubstantial claim
- Premisecitation
The determination of the electronic g-factor of a single hydrogen-like ion stored in a Penning trap as performed before relies on the continuous Stern-Gerlach effect.
“The determination of the electronic g-factor of a single hydrogen-like ion stored in a Penning trap [5] as it has been performed before [6][7][8] relies on the ''continuous Stern-Gerlach-effect'' [6,9].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [6] 6. Hermanspahn, N. et al., Phys. Rev. Lett. 84, 427 (2000).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [9] 9. Werth, G., Ha¨ffner, H. and Quint, W., Adv. At. Mol. Opt. Phys. 48, 191 (2002).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premiseown data
For zero detuning, when the coupling frequency is identical to the sideband frequency, the frequency splitting is minimal.
“For zero detuning, i.e. when the coupling frequency is identical to the sideband frequency, the frequency splitting is minimal.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The present measurement at an axial energy of about 6 meV is a significant improvement compared to previously used values, which are more than one order of magnitude larger and therefore significantly more subjected to effects due to spatial magnetic field inhomogeneities.
“The present measurement at an axial energy of about 6 meV is already a significant improvement as compared to the previously used values which are more than one order of magnitude larger and therefore significantly more subjected to effects due to spatial magnetic field inhomogeneities.”
Quote in the paperSubstantial claim - Premisereasoning
The previous method requires a significant excitation of the cyclotron motion to detect the ion by Fourier transform of the induced voltage in the trap electrodes.
“A problem connected with this method arises from the fact that the measurement of the frequency ratio !MW =! C requires a significant excitation of the cyclotron motion in order to be able to detect the ion by a Fourier transform of the induced voltage in the trap electrodes.”
Quote in the paperSubstantial claim - Premisecitation
When two independent trapping modes are coupled by irradiation of a suited electric rf field, the corresponding motions are amplitude modulated by the interaction with the external field.
“When two of the independent trapping modes are coupled by irradiation of a suited electric rf field, the corresponding motions are amplitude modulated by the interaction with the external field [13].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [13] 13. Cornell, E. A., Weisskoff, R. M., Boyce, K. R. and Pritchard, D. E., Phys. Rev. A 41, 312 (1990).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
The triple-dip variation of the method allows further reduction of systematic uncertainties.
“there is a variation of this method which allows one to further reduce systematic uncertainties.”
Quote in the paperSubstantial claim- Rests on an assumption: Magnetic field drifts on the time scale of a single spin-flip measurement of several minutes are likely to occur.
- Study design and conductcitation
The line shape is determined from a calculation based on the Rabi formula when taking the magnetic field inhomogeneity and the energy-dependence of the ion motions into account.
“The line shape is determined from a calculation based on the Rabi formula [8] when taking the magnetic field inhomogeneity and the energy-dependence of the ion motions into account.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [8] 8. Ha¨ffner, H. et al., Eur. Phys. J. D 22, 163 (2003).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
The mentioned drawbacks of the previous method can be avoided to a large extent by the new method.
“Thus, the mentioned drawbacks can be avoided to a large extent.”
Quote in the paperSubstantial claim - Premisenone given
In any case, the lines cross at zero detuning.
“In any case, the lines cross at zero detuning ¼ 0; in the present example at a symmetric resonance width of around 0.5 Hz.”
Quote in the paperNot a substantial claim - Interpretationreasoning
By use of the triple-dip variation, it is possible to rule out the influences of long-term drifts of the magnetic field.
“By use of this variation, it is possible to rule out the influences of long-term drifts of the magnetic field which otherwise may lead to an undetected shift in the coupled resonances and thus obscure the result.”
Quote in the paperSubstantial claim- Rests on an assumption: Magnetic field drifts on the time scale of a single spin-flip measurement of several minutes are likely to occur.
- Interpretationreasoning
A non-zero energy of the stored ion results in an asymmetric shape of the spin-flip resonance.
“A non-zero energy of the stored ion results in an asymmetric shape of the spin-flip resonance, since the Boltzmann distributions in Eq. ( 14) influence the line shape significantly.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The motional energies of the ion are distributed according to Boltzmann factors at an effective temperature.
- Premisenone given
The Rabi frequency depends linearly on the strength of the coupling force as represented by the amplitude A of the rf field.
“The Rabi frequency itself depends linearly on the strength of the coupling force as represented by the amplitude A of the rf field.”
Quote in the paperSubstantial claim - Interpretationnone given
The resonance maximum, which corresponds to the measured value of the g-factor, is shifted towards the true value if the axial energy approaches zero.
“Second, the resonance maximum which corresponds to the measured value of the g-factor is shifted towards the true value if the axial energy approaches zero.”
Quote in the paperSubstantial claim - Interpretationreasoning
The cyclotron frequency depends on both the cyclotron energy E+ and the axial energy Ez of the ion.
“Thus, the cyclotron frequency depends on both the cyclotron energy E þ and the axial energy E z of the ion.”
Quote in the paperSubstantial claim - Interpretationcitation
The resulting value is in agreement with the previously published value g = 2.0000470251(15)(44).
“The resulting value is in agreement with our previously published value g ¼ 2:000 047 025 1ð15Þð44Þ [12]”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [12] 12. Verdu´, J. et al., Phys. Rev. Lett. 92, 093002 (2004)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premiseown data
In the case of a symmetric splitting, the widths of the two resonances at !l and !r are identical.
“In case of a symmetric splitting, the widths of the two resonances at ! l and !r are identical.”
Quote in the paperNot a substantial claim
- It may state two separate claims as one. 9
- Probably not a substantial claim. 4
It may state two separate claims as one.
Findingown dataThe new method requires a significantly smaller excitation of ion motions; an excitation to a cyclotron energy of around 50 meV is sufficient, two orders of magnitude less than in the previously used method.
“We have developed a new method which requires a significantly smaller excitation of ion motions.It has been found that an excitation to a cyclotron energy of around 50 meV is sufficient, i.e. two orders of magnitude less than in the previously used method.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Interpretationown dataThe resonance is sharpened with decreasing axial energy, thus decreasing the uncertainties in the determination of the resonance maximum.
“first, the resonance is sharpened with decreasing axial energy, thus decreasing the uncertainties in the determination of the resonance maximum.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
PremisereasoningBecause of magnetic field inhomogeneity, the spin-flip resonance is asymmetrically broadened and shifted, and a correction based on theoretical assumptions is needed.
“Because of the magnetic field inhomogeneity, the resonance of the spin-flip probability as a function of the frequency ratio is asymmetrically broadened and shifted, and a correction is needed based on theoretical assumptions.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationnone givenThe new method features conceptual advantages compared to previous measurements.
“This method features conceptual advantages as compared to previous measurements.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
PremisecitationFor 16O7+, the previously determined g-factor is 2.0000470251(15)(44).
“For 16 O 7þ the resulting value is g ¼ 2:000 047 025 1 ð15Þð44Þ [12].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [12] 12. Verdu´, J. et al., Phys. Rev. Lett. 92, 093002 (2004)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
PremisereasoningBecause of residual magnetic field inhomogeneity, the observed frequencies depend on the energy of the stored ion, so measurements at several cyclotron energies are needed and the frequency ratio is extrapolated to zero cyclotron energy.
“Because of the residual inhomogeneity of the magnetic field at the position of the ion, where !L and !C are measured, the observed frequencies depend on the energy of the stored ion.Therefore, measurements at several cyclotron energies need to be performed and the frequency ratio is then extrapolated to zero cyclotron energy.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Interpretationown dataThe method has been applied to hydrogen-like oxygen 16O7+ and yields a gJ-factor in agreement with previously determined values.
“It has been applied to hydrogen-like oxygen 16 O 7þ and yields a value for the g J -factor which is in agreement with previously determined values.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
PremisecitationThe coupling behavior is analogous to the avoided crossing of a near-resonantly driven quantum-mechanical two-level system, which has been observed with the present experimental setup before.
“This behavior is in analogy to the avoided crossing of a near-resonantly driven quantum-mechanical two-level system [13] which has been observed with the present experimental setup before [8].”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [13] 13. Cornell, E. A., Weisskoff, R. M., Boyce, K. R. and Pritchard, D. E., Phys. Rev. A 41, 312 (1990).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites [8] 8. Ha¨ffner, H. et al., Eur. Phys. J. D 22, 163 (2003).
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
Interpretationnone givenThe new method does not require extrapolation of the measured value to zero cyclotron energy; instead, only small corrections are applied.
“Most importantly, an extrapolation of the measured value to zero cyclotron energy is not necessary.Instead, only small corrections are applied.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Study design and conductnone givenThe individual uncertainties obey binomial statistics.
“The individual uncertainties obey binomial statistics.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Premisenone givenThe dependence of the measured g-factor on the motional energy of the ion is a priori unknown, giving rise to systematic uncertainties.
“The dependence of the measured g-factor on the motional energy of the ion is a priori unknown, thus giving rise to systematic uncertainties.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Study design and conductown dataThe first uncertainty in the g-factor value is the combined statistical and systematical error; the second results from the uncertainty of the real electron mass.
“The first uncertainty is the combined statistical and systematical error.The second results from the uncertainty of the real electron mass.”
Quote in the paperSubstantial claim
The authors state this as an assumption.
The motional energies of the ion are distributed according to Boltzmann factors at an effective temperature.
“ðE þ Þ and ðE z Þ are Boltzmann factors that compare the respective energies to the ion's effective temperature in the corresponding motion.”
The paper relies on this without support.
Magnetic field drifts on the time scale of a single spin-flip measurement of several minutes are likely to occur.
“Since drifts of the magnetic field on the time scale of a single spin-flip measurement of several minutes are likely to occur”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The cyclotron and magnetron frequencies can be accurately obtained through the axial detection signal, by means of the mode-coupling technique.
“The cyclotron and magnetron frequencies can be accurately obtained through the axial detection signal, by means of the mode-coupling technique [24].”
From Single Microwave Photon Detection with a Trapped Electron (2016) · cites this paper as [24]
Section 2.2 describes detecting a split axial resonance during mode coupling, and Section 3 calculates the modified cyclotron frequency from the measured axial frequencies and the applied coupling frequency. Section 3 says the magnetron frequency is measured separately in both traps; it does not establish that the magnetron frequency is obtained through the axial detection signal by mode coupling. Page numbers are unavailable in our copy. (LLM, conf=0.86)
Experimental — accuracy not yet measured
Citations
Cites
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Trapped charged particles and fundamental physics
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Flagged first, then by citations
Research works printed but not linked: 17
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- [2]2. Beier, T. et al., Eur. Phys. J. A 15, 41 (2002).
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- [6]6. Hermanspahn, N. et al., Phys. Rev. Lett. 84, 427 (2000).
- [7]7. Ha¨ffner, H. et al., Phys. Rev. Lett. 85, 5308 (2000).
- [8]8. Ha¨ffner, H. et al., Eur. Phys. J. D 22, 163 (2003).
- [9]9. Werth, G., Ha¨ffner, H. and Quint, W., Adv. At. Mol. Opt. Phys. 48, 191 (2002).
- [10]10. Verdu´, J. et al., Can. J. Phys. 80, 1233 (2002).
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- [12]12. Verdu´, J. et al., Phys. Rev. Lett. 92, 093002 (2004)
- [13]13. Cornell, E. A., Weisskoff, R. M., Boyce, K. R. and Pritchard, D. E., Phys. Rev. A 41, 312 (1990).
- [14]14. Kretzschmar, M., Eur. J. Phys. 12, 240 (1991).
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Metadata
- Authors
- Verd?, J. L., Djekic, S., Stahl, S., Valenzuela, T., Vogel, M., Werth, G., Kluge, H.-J., & Quint, W.
- Affiliations
- Johannes Gutenberg University Mainz (DE)
- Venue
- Physica Scripta
- Publisher
- IOP Publishing
- Published
- 2004
- Volume
- T112
- Issue
- 1
- Pages
- 68
- ISSN
- 0031-8949 (ISSN-L)
- OpenAlex
- W1976040202
- Cited by
- 29
- References
- 1
- Citations by year
- 2024: 5 · 2023: 1 · 2020: 1 · 2019: 1 · 2018: 5 · 2016: 1 · 2014: 1 · 2013: 2 · 2012: 1
- FWCI
- 1.02
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physica Scripta (publishedVersion)
- Funders
- Bundesministerium für Bildung und Forschung (HPRI-CT-2001-50036)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle accelerators and beam dynamics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Astronomical and nuclear sciences
- Keywords
- general intelligence, hydrogen-like ions, Penning trap, mode coupling, hyperfine structure, electron spin precession
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