Frequency measurements and hyperfine structure of the R(85)33–0 transition of molecular iodine with a femtosecond optical comb

Feng-Lei Hong; Scott Diddams; Ruixiang Guo; Zhi-Yi Bi; Atsushi Onae; Hajime Inaba; Jun Ishikawa; Kenichiro Okumura; Daigo Katsuragi; Junji Hirata; Tadao Shimizu; Takayuki Kurosu; Yasuki Koga; Hirokazu Matsumoto

doi:10.1364/JOSAB.21.000088

Journal of the Optical Society of America B
Vol. 21,
Issue 1,
pp. 88-95
(2004)
•https://doi.org/10.1364/JOSAB.21.000088

Frequency measurements and hyperfine structure of the R(85)33–0 transition of molecular iodine with a femtosecond optical comb

Feng-Lei Hong, Scott Diddams, Ruixiang Guo, Zhi-Yi Bi, Atsushi Onae, Hajime Inaba, Jun Ishikawa, Kenichiro Okumura, Daigo Katsuragi, Junji Hirata, Tadao Shimizu, Takayuki Kurosu, Yasuki Koga, and Hirokazu Matsumoto

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Feng-Lei Hong, Scott Diddams, Ruixiang Guo, Zhi-Yi Bi, Atsushi Onae, Hajime Inaba, Jun Ishikawa, Kenichiro Okumura, Daigo Katsuragi, Junji Hirata, Tadao Shimizu, Takayuki Kurosu, Yasuki Koga, and Hirokazu Matsumoto, "Frequency measurements and hyperfine structure of the R(85)33–0 transition of molecular iodine with a femtosecond optical comb," J. Opt. Soc. Am. B 21, 88-95 (2004)

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Abstract

Absolute frequency measurements of the $R (85) 33 - 0$ transition of molecular iodine at the blue end of the tuning range of a frequency-doubled Nd:YAG laser are implemented with a femtosecond optical comb based on a mode-locked Ti:sapphire laser. The hyperfine structure of the $R (85) 33 - 0$ transition is observed by use of high-resolution laser spectroscopy and is measured by the femtosecond optical comb. The observed hyperfine transitions are good frequency references for both frequency-doubled Nd:YAG and $Nd : {YVO}_{4}$ lasers in the 532-nm region. High-accuracy hyperfine constants are obtained by our fitting the measured hyperfine splittings to a four-term Hamiltonian, which includes the electric quadrupole, spin–rotation, tensor spin–spin, and scalar spin–spin interactions.

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Hyperfine Component	Observed (kHz)	Calculated (kHz)	Observed Less Calculated (kHz)	Weight	$F^{'}$	I
$a_{1}$	0	0	0	1.0	81	5
$a_{2}$	50732.5	50731.9	0.6	1.0	86	1
$a_{3}$	99742.3	99742.9	-0.6	1.0	91	5
$a_{4}$	281946.2	281947.1	-0.9	1.0	82	5
$a_{5}$	331678.7	331679.1	-0.4	1.0	85	3
$a_{6}$	341087.6	341087.4	0.2	1.0	87	3
$a_{7}$	389099.9	389099.8	0.1	1.0	90	5
$a_{8}$	445205.3	445206.3	-1.0	1.0	83	5
$a_{9}$	461608.4	461609.8	-1.4	1.0	84	3
$a_{10}$	496293.9	496294.2	-0.3	1.0	88	3
$a_{11}$	510619.4	510619.6	-0.2	1.0	89	3
$a_{12}$	582132.0	582132.2	-0.2	1.0	83	3
$a_{13}$	621988.5	621988.3	0.2	1.0	86	3
$a_{14}$	662825.5	662825.5	0.0	1.0	89	5
$a_{15}$	729463.3	729463.8	-0.5	1.0	84	5
$a_{16}$	751718.8	751718.1	0.7	1.0	85	5
$a_{17}$	777078.3	777077.3	1.0	1.0	87	5
$a_{18}$	798584.8	798584.0	0.8	1.0	88	5
$a_{19}$	892318.3	892318.4	-0.1	1.0	85	1
$a_{20}$	906642.5	906642.3	0.2	1.0	86	5
$a_{21}$	922692.5	922692.4	0.1	1.0	87	1

Constant	$R (85) 33 - 0$
$Δ eQq$ (MHz)	1906.832(1)
$Δ C$ (kHz)	94.9180(5)
$Δ d$ (kHz)	-48.78(8)
Δδ (kHz)	-10.19(6)

Line	Assignment	$f_{interval}$ (kHz)
1114	$R (85) 33 - 0 : a_{1}$	46 496 559.1
1110	$R (56) 32 - 0 : a_{10}$	0.0

Hyperfine Component	Observed (kHz)	Calculated (kHz)	Observed Less Calculated (kHz)	Weight	$F^{'}$	I
$a_{1}$	0	0	0	1.0	81	5
$a_{2}$	50732.5	50731.9	0.6	1.0	86	1
$a_{3}$	99742.3	99742.9	-0.6	1.0	91	5
$a_{4}$	281946.2	281947.1	-0.9	1.0	82	5
$a_{5}$	331678.7	331679.1	-0.4	1.0	85	3
$a_{6}$	341087.6	341087.4	0.2	1.0	87	3
$a_{7}$	389099.9	389099.8	0.1	1.0	90	5
$a_{8}$	445205.3	445206.3	-1.0	1.0	83	5
$a_{9}$	461608.4	461609.8	-1.4	1.0	84	3
$a_{10}$	496293.9	496294.2	-0.3	1.0	88	3
$a_{11}$	510619.4	510619.6	-0.2	1.0	89	3
$a_{12}$	582132.0	582132.2	-0.2	1.0	83	3
$a_{13}$	621988.5	621988.3	0.2	1.0	86	3
$a_{14}$	662825.5	662825.5	0.0	1.0	89	5
$a_{15}$	729463.3	729463.8	-0.5	1.0	84	5
$a_{16}$	751718.8	751718.1	0.7	1.0	85	5
$a_{17}$	777078.3	777077.3	1.0	1.0	87	5
$a_{18}$	798584.8	798584.0	0.8	1.0	88	5
$a_{19}$	892318.3	892318.4	-0.1	1.0	85	1
$a_{20}$	906642.5	906642.3	0.2	1.0	86	5
$a_{21}$	922692.5	922692.4	0.1	1.0	87	1

Constant	$R (85) 33 - 0$
$Δ eQq$ (MHz)	1906.832(1)
$Δ C$ (kHz)	94.9180(5)
$Δ d$ (kHz)	-48.78(8)
Δδ (kHz)	-10.19(6)

Abstract

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Journal of the Optical Society of America B