Feng-Lei Hong,
Jun Ishikawa,
Atsushi Onae,
and Hirokazu Matsumoto
National Institute of Advanced Industrial Science and Technology (AIST) [formerly the National Research Laboratory of Metrology (NRLM)], 1-1-1 Umezono, Tsukuba, Ibaraki 305-8563, Japan
Feng-Lei Hong, Jun Ishikawa, Atsushi Onae, and Hirokazu Matsumoto, "Rotation dependence of the excited-state electric quadrupole hyperfine interaction by high-resolution laser spectroscopy of 127I2," J. Opt. Soc. Am. B 18, 1416-1422 (2001)
Hyperfine structures of the
and transitions of molecular iodine near 532 nm are measured by heterodyne beating of two -stabilized lasers. The measured hyperfine splittings are fitted to a four-term Hamiltonian, which includes the electric quadrupole, spin–rotation, tensor spin–spin, and scalar spin–spin interactions, with an accuracy of ∼600 Hz for the and transitions. Highly accurate hyperfine constants are obtained from this fit. The rotation dependence of the excited state (the B state, electric quadrupole constant is found to be The observed hyperfine transitions are good candidates for an optical frequency reference in the 532-nm region.
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The standard deviation of the theoretical fit of hyperfine structures.
Frequency value of the Doppler line center from Ref. 16.
Frequency value of the component from Ref. 9.
Frequency value of the component from Ref. 9.
Frequency value of the component from Ref. 9.
Table 2
Observed and Calculated Hyperfine Components of the R(58)32–0 Transitiona
Hyperfine Components
Obs. (kHz)
Calc. (kHz)
(kHz)
Weight
F
I
0
0
0
1.0
59
2
259193.8
259193.2
0.6
1.0
55
4
—
258860.3
—
0.0
58
2
—
258877.3
—
0.0
60
2
311893.3
311893.3
0
1.0
63
4
401370.2
401370.8
-0.6
1.0
56
4
416717.7
416718.2
-0.5
1.0
57
4
439973.5
439973.7
-0.2
1.0
61
4
455489.1
455489.5
-0.4
1.0
62
4
571568.6
571567.9
0.7
1.0
59
4
697934.7
697937.5
-2.8
0.0
57
2
702837.0
702835.6
1.4
0.0
58
4
726015.1
726014.5
0.6
1.0
60
4
732322.0
732321.7
0.3
1.0
61
2
857973.0
857973.6
-0.6
1.0
59
0
The standard deviation of the fit is 530 Hz.
Table 3
Observed and Calculated Hyperfine Components of the Transitiona
Hyperfine Components
Obs. (kHz)
Calc. (kHz)
(kHz)
Weight
F
I
0
0
0
1.0
49
5
37898.7
37898.4
0.4
1.0
54
1
73852.1
73852.0
0.1
1.0
59
5
272212.4
272213.6
-1.2
1.0
50
5
—
323097.2
—
0.0
53
3
—
324441.5
—
0.0
55
3
373126.0
373126.1
-0.1
1.0
58
5
437416.6
437415.3
1.3
1.0
51
5
455385.1
455386.6
-1.5
1.0
52
3
477021.0
477020.8
0.2
1.0
56
3
490558.8
490559.1
-0.3
1.0
57
3
573037.7
573038.0
-0.3
1.0
51
3
609447.8
609447.9
-0.1
1.0
54
3
648906.4
648906.3
0.1
1.0
57
5
714069.0
714071.9
-2.9
0.0
52
5
739835.0
739834.9
0.1
1.0
53
5
763008.1
763008.2
-0.1
1.0
55
5
788223.4
788223.6
-0.2
1.0
56
5
879735.7
879735.2
0.5
1.0
53
1
893467.6
893467.0
0.6
1.0
54
5
910308.8
910309.0
-0.2
1.0
55
1
The standard deviation of the fit is 680 Hz.
Table 4
Observed and Calculated Hyperfine Components of the P(104)34–0 Transitiona
The standard deviation of the theoretical fit of hyperfine structures.
Frequency value of the Doppler line center from Ref. 16.
Frequency value of the component from Ref. 9.
Frequency value of the component from Ref. 9.
Frequency value of the component from Ref. 9.
Table 2
Observed and Calculated Hyperfine Components of the R(58)32–0 Transitiona
Hyperfine Components
Obs. (kHz)
Calc. (kHz)
(kHz)
Weight
F
I
0
0
0
1.0
59
2
259193.8
259193.2
0.6
1.0
55
4
—
258860.3
—
0.0
58
2
—
258877.3
—
0.0
60
2
311893.3
311893.3
0
1.0
63
4
401370.2
401370.8
-0.6
1.0
56
4
416717.7
416718.2
-0.5
1.0
57
4
439973.5
439973.7
-0.2
1.0
61
4
455489.1
455489.5
-0.4
1.0
62
4
571568.6
571567.9
0.7
1.0
59
4
697934.7
697937.5
-2.8
0.0
57
2
702837.0
702835.6
1.4
0.0
58
4
726015.1
726014.5
0.6
1.0
60
4
732322.0
732321.7
0.3
1.0
61
2
857973.0
857973.6
-0.6
1.0
59
0
The standard deviation of the fit is 530 Hz.
Table 3
Observed and Calculated Hyperfine Components of the Transitiona
Hyperfine Components
Obs. (kHz)
Calc. (kHz)
(kHz)
Weight
F
I
0
0
0
1.0
49
5
37898.7
37898.4
0.4
1.0
54
1
73852.1
73852.0
0.1
1.0
59
5
272212.4
272213.6
-1.2
1.0
50
5
—
323097.2
—
0.0
53
3
—
324441.5
—
0.0
55
3
373126.0
373126.1
-0.1
1.0
58
5
437416.6
437415.3
1.3
1.0
51
5
455385.1
455386.6
-1.5
1.0
52
3
477021.0
477020.8
0.2
1.0
56
3
490558.8
490559.1
-0.3
1.0
57
3
573037.7
573038.0
-0.3
1.0
51
3
609447.8
609447.9
-0.1
1.0
54
3
648906.4
648906.3
0.1
1.0
57
5
714069.0
714071.9
-2.9
0.0
52
5
739835.0
739834.9
0.1
1.0
53
5
763008.1
763008.2
-0.1
1.0
55
5
788223.4
788223.6
-0.2
1.0
56
5
879735.7
879735.2
0.5
1.0
53
1
893467.6
893467.0
0.6
1.0
54
5
910308.8
910309.0
-0.2
1.0
55
1
The standard deviation of the fit is 680 Hz.
Table 4
Observed and Calculated Hyperfine Components of the P(104)34–0 Transitiona