Doppler-free two-photon transitions to Rydberg levels: convenient, useful, and precise reference wavelengths for dye lasers

Lee, S. A.; Helmcke, J.; Hall, John L.; Stoicheff, B. P.

doi:10.1364/ol.3.000141

Cited by 67 publications

(18 citation statements)

References 10 publications

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“…47,48. Given that the EF state can be excited using cw radiation the measurements described in this section could also be performed in a cell of molecular hydrogen.…”

Section: The Ef / High-n Intervalmentioning

confidence: 99%

Towards measuring the ionisation and dissociation energies of molecular hydrogen with sub-MHz accuracy

et al. 2011

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The most precise determination of the ionisation and dissociation energies of molecular hydrogen H 2 was carried out recently by measuring three intervals independently: the X / EF interval, the EF / n ¼ 54p interval, and the electron binding energy of the n ¼ 54p Rydberg state. The values of the ionisation and dissociation energies obtained for H 2 , and for HD and D 2 in similar measurements, are in agreement with the results of the latest ab initio calculations [Piszczatowski et al., J. Chem. Theory Comput., 2009, 5, 3039; Pachucki and Komasa, Phys. Chem. Chem. Phys., 2010, 12, 9188] within the combined uncertainty limit of 30 MHz (0.001 cm À1 ). We report on a new determination of the electron binding energies of H 2 Rydberg states with principal quantum numbers in the range n ¼ 51-64 with a precision of better than 100 kHz using a combination of millimetre-wave spectroscopy and multichannel quantumdefect theory (MQDT). The positions of 33 np (S ¼ 0) Rydberg states of ortho-H 2 relative to the position of the reference 51d (Rydberg state have been determined with a precision and accuracy of 50 kHz. By analysing these positions using MQDT, the electron binding energy of the reference state could be determined to be 42.3009108(14) cm À1 , which represents an improvement by a factor of $7 over the previous value obtained by Osterwalder et al. [J. Chem. Phys., 2004, 121, 11810]. Because the electron binding energy of the high-n Rydberg states will ultimately be the limiting factor in our method of determining the ionisation and dissociation energies of molecular hydrogen, this result opens up the possibility of carrying out a new determination of these quantities. By evaluating several schemes for the new measurement, the precision limit is estimated to be 50-100 kHz, approaching the fundamental limit for theoretical values of $10 kHz imposed by the current uncertainty of the proton-to-electron mass ratio.

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“…47,48. Given that the EF state can be excited using cw radiation the measurements described in this section could also be performed in a cell of molecular hydrogen.…”

Section: The Ef / High-n Intervalmentioning

confidence: 99%

Towards measuring the ionisation and dissociation energies of molecular hydrogen with sub-MHz accuracy

et al. 2011

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“…Most of the studies are devoted to precise determinations of ionization potentials (IPs) and polarizabilities of the ion core. [1][2][3][4][5][6][7][8][9] For calcium, which is one of the alkaline-earth elements, however, such high-resolution spectroscopy has not been reported thus far except for a study on the isotope shift and hyperfine structure of oddparity series to our best knowledge. 10) The spectroscopic studies on Rydberg series of Ca aiming at the determination of the IP have been reported by many researchers.…”

Section: Introductionmentioning

confidence: 99%

“…23) 2. Experimental Setup Figure 1 shows a schematic drawing of the experimental setup, which consists of three main parts; (1) frequencystabilized tunable laser system using four extended-cavity diode lasers (ECDLs), (2) atomizer in vacuum chamber, and (3) ion detector and signal processing system. The details of the laser system have been described elsewhere.…”

Section: Introductionmentioning

confidence: 99%

Determination of Ionization Potential of Calcium by High-Resolution Resonance Ionization Spectroscopy

et al. 2006

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High-resolution resonance ionization spectroscopy has been utilized to determine a precise ionization potential of Ca. Three-step resonance excitation with single-mode extended-cavity diode lasers populates long and unperturbed Rydberg series of 4snp ( 1 P 1 ) and 4snf ( 1 F 3 ) states in the range of n ¼ 20 {150. Using an extended Ritz formula for quantum defects, the series convergence limit has been determined to be 49305.9240(20) cm À1 with the accuracy improved one order of magnitude higher than previously reported ones.

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“…A considerable improvement in the absolute accuracy was introduced by laser spectroscopic methods. An accuracy of about _+0.006 cm -1 could be easily achieved by comparing the wavelengths of Doppler-free lines with the iodine standard [10], while the greatest progress in accuracy (uncertainty < _+ 0.001 cm-1) is due to the use of wavemeters [15,16], where the wavelengths of Doppler-free spectral lines are compared with the wavelength of a frequency-stabilized He--Ne laser. In a recent "short note" in this journal we have reported on preliminary results of wavemeter measurements of the 6S-nS and 6S-nD Doppler-free two-photon lines in CsI [13].…”

Section: Introductionmentioning

confidence: 99%

Precise quantum defects of nS, nP and nD Levels in Cs I

Lorenzen

Niemax

1984

Z Physik A

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Very accurate measurements of the n aS1/2 (n = 9-30), n 2P1/2, 3/2 (n = 9-50) and n 2D3/2, 5/2 (n=5, 8-32) energy levels in CsI have been performed in the wavelength-range 6,379 ,~<2 < 7,432 • with a high-precision vacuum-wavemeter using either Doppler-free two-photon spectroscopy or Doppler-limited one-photon spectroscopy with a frequency-doubling crystal. Thermionic detectors were used throughout the experiments. By fitting the experimental energy values to extended Rydberg-Ritz formulas, accurate quantum defect data and series limits are given. The ionization energy E~ =31,406.4710(7) cm -1 was adopted to be the best fit value, differing significantly from most recent evaluations of other authors, but agreeing well with former, less accurate measurements performed in our laboratory.

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Doppler-free two-photon transitions to Rydberg levels: convenient, useful, and precise reference wavelengths for dye lasers

Cited by 67 publications

References 10 publications

Towards measuring the ionisation and dissociation energies of molecular hydrogen with sub-MHz accuracy

Towards measuring the ionisation and dissociation energies of molecular hydrogen with sub-MHz accuracy

Determination of Ionization Potential of Calcium by High-Resolution Resonance Ionization Spectroscopy

Precise quantum defects of nS, nP and nD Levels in Cs I

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