Vibration dependence of the tensor spin–spin and scalar spin–spin hyperfine interactions by precision measurement of hyperfine structures of 127I2 near 532 nm
Feng-Lei Hong, Yun Zhang, Jun Ishikawa, Atsushi Onae, and Hirokazu Matsumoto
Feng-Lei Hong, Yun Zhang, Jun Ishikawa, Atsushi Onae, and Hirokazu Matsumoto, "Vibration dependence of the tensor spin–spin and scalar spin–spin hyperfine interactions by precision measurement of hyperfine structures of 127I2 near 532 nm," J. Opt. Soc. Am. B 19, 946-953 (2002)
Hyperfine structures of the
and transitions of molecular iodine near 532 nm are measured by observing the heterodyne beat-note signal of two -stabilized lasers, whose frequencies are bridged by an optical frequency comb generator. The measured hyperfine splittings are fit to a four-term Hamiltonian, which includes the electric quadrupole, spin–rotation, tensor spin–spin, and scalar spin–spin interactions, with an accuracy of ∼720 Hz. High-accurate hyperfine constants are obtained from this fit. Vibration dependences of the tensor spin–spin and scalar spin–spin hyperfine constants are determined for molecular iodine, for the first time to our knowledge. The observed hyperfine transitions are good optical frequency references in the 532-nm region.
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Frequency intervals listed are taken from Ref. 20.
Frequency value of the component.
Frequency value of the component.
Frequency value of the component.
Table 2
Observed and Calculated Hyperfine Splittings of the Transitiona
Hyperfine Component
Observed (kHz)
Calculated (kHz)
(kHz)
Weight
I
0
0
0
1.0
83
5
51 576.8
51 576.0
0.8
1.0
88
1
101 440.7
101 441.3
-0.6
1.0
93
5
282 433.1
282 434.8
-1.7
0.0
84
5
332 231.3
332 232.6
-1.3
1.0
87
3
342 222.3
342 222.3
0
1.0
89
3
390 316.8
390 318.8
-2.0
0.0
92
5
445 655.9
445 657.0
-1.1
1.0
85
5
462 062.0
462 063.5
-1.5
0.0
86
3
497 545.0
497 545.4
-0.4
1.0
90
3
511 954.6
511 954.6
0.0
1.0
91
3
582 672.1
582 672.6
-0.5
1.0
85
3
622 837.5
622 837.3
0.2
1.0
88
3
663 914.0
663 913.9
0.1
1.0
91
5
730 322.6
730 323.3
-0.7
1.0
86
5
752 479.7
752 479.2
0.5
1.0
87
5
778 052.2
778 051.2
1.0
1.0
89
5
799 454.8
799 454.2
0.5
1.0
90
5
893 121.1
893 121.3
-0.2
1.0
87
1
907 520.9
907 520.8
0.1
1.0
88
5
923 599.1
923 599.0
0.1
1.0
89
1
The standard deviation of the fit is 680 Hz.
Table 3
Observed and Calculated Hyperfine Splittings of the Transitiona
Hyperfine Component
Observed (kHz)
Calculated (kHz)
(kHz)
Weight
I
0
0
0
1.0
141
5
111 368.1
111 367.3
0.8
1.0
146
1
220 569.5
220 585.5
-16.0
0.0
151
5
298 758.2
298 758.9
-0.7
1.0
142
5
376 994.5
376 995.9
-1.4
1.0
145
3
414 951.7
414 951.0
0.7
1.0
147
3
469 812.7
469 813.2
-0.5
1.0
143
3
491 228.8
491 235.7
-6.9
0.0
150
5
495 517.9
495 520.0
-2.1
0.0
144
3
580 701.3
580 701.7
-0.4
1.0
148
3
605 383.3
605 388.6
-5.3
0.0
149
3
608 216.6
608 215.7
0.9
0.0
143
5
680 625.5
680 626.3
-0.8
1.0
146
3
752 796.7
752 801.8
-5.1
0.0
149
5
769 534.7
769 534.9
-0.2
1.0
144
5
799 141.4
799 140.5
0.9
1.0
145
5
846 413.8
846 413.6
0.2
1.0
147
5
874 875.8
874 876.1
-0.3
1.0
148
5
940 061.5
940 061.4
0.1
1.0
145
1
964 534.2
964 533.9
0.3
1.0
146
5
990 289.3
990 289.5
-0.2
1.0
147
1
The standard deviation of the fit is 700 Hz.
Table 4
Observed and Calculated Hyperfine Splittings of the Transitiona
Frequency intervals listed are taken from Ref. 20.
Frequency value of the component.
Frequency value of the component.
Frequency value of the component.
Table 2
Observed and Calculated Hyperfine Splittings of the Transitiona
Hyperfine Component
Observed (kHz)
Calculated (kHz)
(kHz)
Weight
I
0
0
0
1.0
83
5
51 576.8
51 576.0
0.8
1.0
88
1
101 440.7
101 441.3
-0.6
1.0
93
5
282 433.1
282 434.8
-1.7
0.0
84
5
332 231.3
332 232.6
-1.3
1.0
87
3
342 222.3
342 222.3
0
1.0
89
3
390 316.8
390 318.8
-2.0
0.0
92
5
445 655.9
445 657.0
-1.1
1.0
85
5
462 062.0
462 063.5
-1.5
0.0
86
3
497 545.0
497 545.4
-0.4
1.0
90
3
511 954.6
511 954.6
0.0
1.0
91
3
582 672.1
582 672.6
-0.5
1.0
85
3
622 837.5
622 837.3
0.2
1.0
88
3
663 914.0
663 913.9
0.1
1.0
91
5
730 322.6
730 323.3
-0.7
1.0
86
5
752 479.7
752 479.2
0.5
1.0
87
5
778 052.2
778 051.2
1.0
1.0
89
5
799 454.8
799 454.2
0.5
1.0
90
5
893 121.1
893 121.3
-0.2
1.0
87
1
907 520.9
907 520.8
0.1
1.0
88
5
923 599.1
923 599.0
0.1
1.0
89
1
The standard deviation of the fit is 680 Hz.
Table 3
Observed and Calculated Hyperfine Splittings of the Transitiona
Hyperfine Component
Observed (kHz)
Calculated (kHz)
(kHz)
Weight
I
0
0
0
1.0
141
5
111 368.1
111 367.3
0.8
1.0
146
1
220 569.5
220 585.5
-16.0
0.0
151
5
298 758.2
298 758.9
-0.7
1.0
142
5
376 994.5
376 995.9
-1.4
1.0
145
3
414 951.7
414 951.0
0.7
1.0
147
3
469 812.7
469 813.2
-0.5
1.0
143
3
491 228.8
491 235.7
-6.9
0.0
150
5
495 517.9
495 520.0
-2.1
0.0
144
3
580 701.3
580 701.7
-0.4
1.0
148
3
605 383.3
605 388.6
-5.3
0.0
149
3
608 216.6
608 215.7
0.9
0.0
143
5
680 625.5
680 626.3
-0.8
1.0
146
3
752 796.7
752 801.8
-5.1
0.0
149
5
769 534.7
769 534.9
-0.2
1.0
144
5
799 141.4
799 140.5
0.9
1.0
145
5
846 413.8
846 413.6
0.2
1.0
147
5
874 875.8
874 876.1
-0.3
1.0
148
5
940 061.5
940 061.4
0.1
1.0
145
1
964 534.2
964 533.9
0.3
1.0
146
5
990 289.3
990 289.5
-0.2
1.0
147
1
The standard deviation of the fit is 700 Hz.
Table 4
Observed and Calculated Hyperfine Splittings of the Transitiona