The transition probabilities, Aki, were calculated for magnetic dipole (M1) and electric quadrupole (E2) lines connecting the 47 energetically lowest levels belonging to the 3d8, 3d74s and 3d64s2 configurations of Co II, i.e. the transitions in which both energy levels are below the lowest level of odd parity.
Table 3 (click here) contains the experimental wavelengths deduced from the observed energy levels (Sugar & Corliss 1985) and the A-values calculated in the present work. All the calculations were carried out using the computed energy intervals but the use of experimental energy differences would only produce a marginal change in the final results. If the two types of radiation (M1 and E2) contribute significantly to the total intensity of a line, the sum of both components is given. The exclusion criterion of one particular type of radiation for a given transition is that the corresponding A-value should be less than 1% of the sum of M1 and E2 contributions. Owing to the extensive nature of the results, only transitions for which Aki is greater than 0.001 s-1 are reported in the table. The complete data can be obtained upon request to the author.
As already noticed for other ions, examining the results, it is seen that
for most of the strong multiplets either magnetic dipole radiation
predominates (electric quadrupole radiation being negligible) or electric
quadrupole radiation predominates (magnetic dipole radiation being
negligible). In the former case, the transitions are mostly intercombination
multiplets (S
0) made possible by spin-orbit interaction.
In the latter case, the transitions are mostly allowed by the LS-coupling
selection rules for electric quadrupole radiation (i.e.
S = 0,
L = 0,
1,
2). There are few transitions in which the two
types of radiation are of comparable intensities.
Multiplet | J-J' | ![]() | Type | Aki |
a3F-a3F | 4-3 | 105178.00 | M1 | 2.21(-2) |
3-2 | 154562.77 | M1 | 9.88(-3) | |
a3F-b3F | 4-4 | 10187.81 | E2 | 5.36(-2) |
4-3 | 9335.84 | E2 | 2.30(-2) | |
4-2 | 8829.97 | E2 | 1.01(-3) | |
3-4 | 11280.47 | E2 | 6.33(-3) | |
3-3 | 10245.24 | E2 | 3.47(-2) | |
3-2 | 9639.21 | M1,E2 | 3.16(-2) | |
2-3 | 10972.56 | E2 | 8.74(-3) | |
2-2 | 10280.34 | M1,E2 | 4.06(-2) | |
a3F-a1D | 4-2 | 8580.24 | E2 | 9.74(-3) |
3-2 | 9342.38 | M1 | 1.74(-1) | |
2-2 | 9943.41 | M1,E2 | 8.16(-2) | |
a3F-a3P | 4-2 | 7538.96 | E2 | 4.98(-2) |
3-2 | 8121.07 | M1,E2 | 6.70(-2) | |
3-1 | 8027.36 | E2 | 4.20(-2) | |
2-2 | 8571.44 | M1,E2 | 1.63(-2) | |
2-1 | 8467.11 | M1,E2 | 1.68(-2) | |
2-0 | 8333.82 | E2 | 5.34(-2) | |
a3F-a5P | 4-2 | 5544.26 | E2 | 3.42(-3) |
3-1 | 5749.40 | E2 | 1.13(-3) | |
a3F-a1G | 4-4 | 5209.57 | M1 | 1.36(-1) |
3-4 | 5481.05 | M1,E2 | 7.03(-2) | |
a3F-a3G | 4-5 | 4623.06 | E2 | 7.73(-1) |
4-4 | 4542.23 | E2 | 1.22(-1) | |
4-3 | 4460.13 | E2 | 6.87(-3) | |
3-5 | 4835.61 | E2 | 3.33(-2) | |
3-4 | 4747.24 | E2 | 5.61(-1) | |
3-3 | 4657.64 | E2 | 1.49(-1) | |
2-4 | 4897.68 | E2 | 3.76(-2) | |
2-3 | 4802.36 | E2 | 5.31(-1) | |
a3F-b3P | 4-2 | 4152.58 | E2 | 3.12(+0) |
3-2 | 4323.28 | E2 | 5.12(-1) | |
3-1 | 4287.50 | E2 | 9.37(-1) | |
2-2 | 4447.69 | E2 | 4.72(-2) | |
2-1 | 4409.83 | E2 | 5.47(-1) | |
2-0 | 4382.03 | E2 | 8.77(-1) | |
a3F-c3P | 4-2 | 4017.10 | E2 | 2.66(-1) |
3-1 | 4102.73 | E2 | 2.03(+0) | |
2-2 | 4292.62 | E2 | 4.32(-3) | |
2-1 | 4214.61 | E2 | 3.97(-1) | |
2-0 | 4120.12 | E2 | 3.10(+0) | |
a3F-b1G | 4-4 | 3975.43 | M1,E2 | 2.07(-2) |
3-4 | 4131.60 | M1,E2 | 4.99(-3)* | |
2-4 | 4245.08 | E2 | 1.04(-1) | |
a3F-a3H | 4-6 | 3688.18 | E2 | 2.66(+0) |
4-5 | 3639.41 | E2 | 1.42(-1) | |
4-4 | 3582.90 | M1,E2 | 6.10(-3) | |
3-5 | 3769.86 | E2 | 2.23(+0) | |
3-4 | 3709.26 | E2 | 1.86(-1) | |
2-4 | 3800.47 | E2 | 1.93(+0) |
Multiplet | J-J' | ![]() | Type | Aki |
a3F-a3D | 4-3 | 3637.36 | E2 | 1.59(+0) |
4-2 | 3556.18 | E2 | 8.62(-2) | |
3-3 | 3767.66 | E2 | 4.60(-1) | |
3-2 | 3680.63 | E2 | 1.26(+0) | |
3-1 | 3530.26 | E2 | 2.88(-2) | |
2-3 | 3861.80 | E2 | 4.54(-2) | |
2-2 | 3770.42 | E2 | 6.30(-1) | |
2-1 | 3612.78 | E2 | 8.77(-1) | |
a3F-a1P | 3-1 | 3753.42 | E2 | 2.64(-1) |
2-1 | 3846.84 | E2 | 7.53(-1) | |
a3F-a1H | 3-5 | 3375.49 | E2 | 5.52(-2) |
a3F-b1D | 3-2 | 3304.94 | M1,E2 | 1.60(-2) |
2-2 | 3377.16 | M1,E2 | 5.60(-3)* | |
a3F-a5D | 4-4 | 2456.52 | M1,E2 | 2.53(-2)* |
4-3 | 2419.74 | M1,E2 | 1.76(-3) | |
3-4 | 2515.28 | M1,E2 | 5.70(-3) | |
3-3 | 2476.73 | M1,E2 | 1.83(-3) | |
a3F-c3F | 4-2 | 2451.97 | E2 | 5.88(-2) |
4-3 | 2445.48 | E2 | 8.87(-1) | |
4-4 | 2435.49 | E2 | 2.92(+0) | |
3-2 | 2510.51 | E2 | 1.08(+0) | |
3-3 | 2503.70 | E2 | 1.80(+0) | |
3-4 | 2493.23 | E2 | 6.84(-1) | |
2-2 | 2551.96 | E2 | 2.18(+0) | |
2-3 | 2544.92 | E2 | 8.00(-1) | |
2-4 | 2534.11 | E2 | 3.04(-2) | |
a3F-a1F | 4-3 | 2267.34 | E2 | 1.83(-2) |
3-3 | 2317.30 | E2 | 1.59(-2) | |
2-3 | 2352.57 | E2 | 2.14(-2) | |
a5F-a5F | 5-4 | 147361.14 | M1 | 1.03(-2) |
4-3 | 187985.83 | M1 | 9.27(-3) | |
3-2 | 256741.94 | M1 | 5.00(-3) | |
2-1 | 392635.09 | M1 | 1.57(-3) | |
a5F-b3F | 5-4 | 15469.95 | M1 | 2.66(-2) |
4-4 | 17284.47 | M1 | 2.98(-3)* | |
4-3 | 14967.16 | M1 | 4.17(-3) | |
3-4 | 19034.62 | M1 | 4.81(-3) | |
3-3 | 16261.91 | M1 | 4.53(-3)* | |
2-3 | 17361.59 | M1 | 9.59(-3) | |
2-2 | 15689.96 | M1 | 4.34(-3) | |
1-2 | 16343.04 | M1 | 1.34(-2) | |
a5F-a5P | 5-3 | 6932.36 | E2 | 3.74(-2) |
4-3 | 7274.58 | M1,E2 | 1.14(-2) | |
4-2 | 7139.54 | E2 | 2.10(-2) | |
3-3 | 7567.42 | M1,E2 | 2.61(-3) | |
3-2 | 7421.40 | E2 | 1.46(-2) | |
3-1 | 7255.95 | E2 | 1.10(-2) | |
2-2 | 7642.31 | E2 | 6.10(-3) | |
2-1 | 7466.98 | E2 | 1.59(-2) | |
1-2 | 7794.01 | M1,E2 | 1.30(-3) | |
1-1 | 7611.74 | E2 | 1.30(-2) | |
a5F-a3G | 5-5 | 5470.72 | M1 | 3.73(-1)* |
5-4 | 5357.89 | M1 | 2.17(-2) | |
4-5 | 5681.65 | M1 | 7.54(-2) | |
4-4 | 5560.05 | M1 | 2.11(-1) | |
4-3 | 5437.53 | M1 | 1.37(-2) | |
3-4 | 5729.51 | M1 | 9.24(-2) | |
3-3 | 5599.50 | M1 | 8.43(-2) | |
2-3 | 5724.35 | M1 | 6.46(-2) |
Multiplet | J-J' | ![]() | Type | Aki |
a5F-b3P | 3-2 | 5123.15 | M1,E2 | 9.18(-3) |
2-2 | 5227.47 | M1,E2 | 1.33(-3)* | |
2-1 | 5175.25 | M1,E2 | 2.97(-3) | |
1-2 | 5298.00 | M1 | 1.15(-3) | |
1-1 | 5244.37 | M1,E2 | 1.60(-3) | |
a5F-c3P | 3-2 | 4918.49 | M1,E2 | 3.98(-2) |
2-2 | 5014.56 | M1,E2 | 5.30(-3)* | |
2-1 | 4908.42 | M1 | 3.63(-2) | |
1-2 | 5079.43 | M1,E2 | 4.60(-3) | |
1-1 | 4970.56 | M1,E2 | 2.57(-2) | |
a5F-a3H | 5-5 | 4145.02 | M1,E2 | 2.05((-3) |
4-5 | 4264.99 | M1,E2 | 1.03(-3) | |
4-4 | 4187.59 | M1,E2 | 1.08(-3)* | |
a5F-a5D | 5-4 | 2676.94 | E2 | 1.42(+1) |
5-3 | 2633.32 | E2 | 6.64(+0) | |
4-4 | 2726.47 | E2 | 5.61(+0) | |
4-3 | 2681.23 | E2 | 4.99(+0) | |
4-2 | 2651.08 | E2 | 1.06(+1) | |
3-4 | 2766.60 | E2 | 1.12(+0) | |
3-3 | 2720.03 | E2 | 7.14(+0) | |
3-2 | 2689.00 | E2 | 9.22(-1) | |
3-1 | 2669.57 | E2 | 1.34(+1) | |
2-4 | 2796.74 | E2 | 9.24(-2) | |
2-3 | 2749.16 | E2 | 2.49(+0) | |
2-2 | 2717.47 | E2 | 6.70(+0) | |
1-3 | 2768.55 | E2 | 2.30(-1) | |
1-2 | 2736.41 | E2 | 3.42(+0) | |
1-1 | 2716.29 | E2 | 8.27(+0) | |
a5F-a3D | 4-3 | 4262.17 | M1 | 5.36(-1) |
3-3 | 4361.05 | M1 | 1.20(-2) | |
3-2 | 4244.86 | M1 | 6.98(-1) | |
2-3 | 4436.41 | M1 | 2.53(-2) | |
2-2 | 4316.23 | M1 | 6.10(-2)* | |
2-1 | 4110.89 | M1 | 3.02(-1) | |
1-2 | 4364.21 | M1 | 6.34(-2) | |
1-1 | 4154.39 | M1 | 1.41(-1) | |
a5F-a1P | 2-1 | 4416.68 | M1 | 3.60(-1) |
1-1 | 4466.92 | M1 | 1.65(-1) | |
a5F-b1D | 3-2 | 3752.87 | M1 | 5.90(-3) |
a5F-c3F | 5-3 | 2663.82 | E2 | 1.94(-3) |
5-4 | 2651.98 | M1,E2 | 2.67(-1) | |
4-3 | 2712.87 | M1,E2 | 3.87(-2) | |
4-4 | 2700.58 | M1,E2 | 7.94(-2)* | |
3-2 | 2760.83 | M1 | 5.86(-3) | |
3-3 | 2752.59 | M1,E2 | 3.30(-2)* | |
3-4 | 2739.95 | M1,E2 | 2.93(-2) | |
2-2 | 2790.84 | M1 | 3.02(-2) | |
2-3 | 2782.43 | M1,E2 | 6.37(-2) | |
1-2 | 2810.82 | M1,E2 | 1.03(-1) | |
1-3 | 2802.29 | E2 | 1.28(-3) | |
b3F-b3F | 4-3 | 111637.78 | M1 | 1.67(-2) |
3-2 | 162957.42 | M1 | 7.26(-3) | |
b3F-a1G | 4-4 | 10661.30 | M1 | 6.89(-3) |
3-4 | 11786.95 | M1 | 2.82(-3) | |
b3F-a3G | 4-5 | 8463.87 | M1 | 3.57(-2) |
4-4 | 8196.81 | M1 | 4.33(-2)* | |
4-3 | 7933.29 | M1 | 3.06(-3) | |
3-3 | 8540.19 | M1 | 3.79(-2) | |
2-3 | 9012.51 | M1 | 2.27(-2) |
Multiplet | J-J' | ![]() | Type | Aki |
b3F-b3P | 4-2 | 7009.88 | E2 | 3.02(-2) |
3-2 | 7479.54 | E2 | 5.74(-3) | |
3-1 | 7373.09 | E2 | 3.04(-2) | |
2-1 | 7722.50 | M1,E2 | 2.30(-2) | |
2-0 | 7637.67 | E2 | 2.74(-2) | |
b3F-c3P | 4-2 | 6632.28 | E2 | 2.04(-2) |
3-2 | 7051.19 | M1,E2 | 1.03(-2) | |
2-2 | 7370.09 | M1 | 1.63(-2) | |
2-1 | 7143.09 | M1,E2 | 4.37(-3) | |
2-0 | 6875.85 | E2 | 1.53(-3) | |
b3F-b1G | 4-4 | 6519.48 | M1 | 1.84(-1) |
3-4 | 6923.83 | M1 | 1.06(-1) | |
2-4 | 7231.07 | E2 | 2.48(-3) | |
b3F-a3H | 4-4 | 5526.56 | M1 | 7.44(-3)* |
3-4 | 5814.40 | M1 | 3.87(-3) | |
b3F-a3D | 4-3 | 5657.21 | M1 | 1.07(-1) |
3-3 | 5959.20 | M1 | 6.24(-2)* | |
3-2 | 5744.35 | M1 | 8.88(-3) | |
3-1 | 5386.29 | E2 | 2.25(-3) | |
2-3 | 6185.39 | M1,E2 | 7.66(-3) | |
2-2 | 5954.24 | M1 | 3.44(-2) | |
2-1 | 5570.41 | M1,E2 | 4.43(-2) | |
b3F-a1P | 3-1 | 5923.64 | E2 | 3.83(-3) |
2-1 | 6147.09 | M1,E2 | 3.00(-2) | |
b3F-b1D | 3-2 | 4878.82 | M1 | 5.38(-1) |
2-2 | 5029.40 | M1,E2 | 3.12(-1) | |
b3F-a5D | 4-3 | 3173.56 | E2 | 6.70(-3) |
3-3 | 3266.42 | M1,E2 | 1.06(-3)* | |
3-2 | 3221.78 | E2 | 4.44(-3) | |
2-2 | 3286.76 | M1,E2 | 1.45(-3) | |
2-1 | 3257.78 | M1,E2 | 2.62(-3) | |
b3F-c3F | 4-3 | 3217.97 | M1,E2 | 1.59(-2) |
4-4 | 3200.70 | M1,E2 | 3.24(-3)* | |
3-2 | 3325.43 | M1,E2 | 2.18(-2) | |
3-3 | 3313.49 | E2 | 2.29(-3) | |
3-4 | 3295.18 | M1 | 2.00(-2) | |
2-3 | 3382.27 | M1,E2 | 2.43(-2) | |
2-4 | 3363.19 | E2 | 1.21(-2) | |
b3F-a1F | 3-3 | 2994.71 | M1 | 9.77(-3)* |
2-3 | 3050.78 | M1,E2 | 1.69(-1) | |
a1D-a3P | 2-2 | 62122.27 | M1 | 2.96(-2) |
2-1 | 57029.52 | M1 | 2.55(-2) | |
a1D-a1G | 2-4 | 13261.38 | E2 | 1.80(-3) |
a1D-b3P | 2-2 | 8047.29 | M1,E2 | 8.56(-3)* |
2-1 | 7924.21 | E2 | 5.20(-2) | |
2-0 | 7834.91 | E2 | 6.39(-2) | |
a1D-c3P | 2-2 | 7553.59 | M1,E2 | 2.68(-2)* |
2-1 | 7315.32 | M1,E2 | 7.23(-3)* | |
2-0 | 7035.30 | E2 | 1.18(-3) | |
a1D-b1G | 2-4 | 7407.62 | E2 | 7.14(-2) |
a1D-a3H | 2-4 | 6151.81 | E2 | 1.44(-2) |
a1D-a3D | 2-3 | 6314.12 | M1,E2 | 6.24(-3) |
2-2 | 6073.44 | M1,E2 | 3.92(-3)* | |
2-1 | 5674.60 | E2 | 3.29(-1) | |
a1D-a1P | 2-1 | 6274.22 | E2 | 1.67(-1) |
a1D-b1D | 2-2 | 5114.18 | M1,E2 | 9.88(-1) |
a1D-a5D | 2-4 | 3442.05 | E2 | 2.72(-3) |
Multiplet | J-J' | ![]() | Type | Aki |
a1D-c3F | 2-2 | 3433.13 | E2 | 4.80(-2) |
2-3 | 3420.40 | E2 | 2.57(-1) | |
2-4 | 3400.90 | E2 | 5.41(-1) | |
a1D-a1F | 2-3 | 3081.77 | E2 | 3.93(+0) |
a3P-a5P | 2-3 | 22162.28 | M1 | 1.04(-3) |
2-2 | 20954.77 | M1 | 1.53(-3)* | |
1-1 | 20260.69 | M1 | 2.89(-3) | |
a3P-b3P | 2-2 | 9244.88 | E2 | 9.36(-3) |
2-1 | 9082.80 | M1,E2 | 3.90(-2) | |
2-0 | 8965.67 | E2 | 7.37(-2) | |
1-2 | 9369.40 | M1,E2 | 1.91(-2)* | |
1-1 | 9202.96 | M1,E2 | 1.83(-2) | |
0-2 | 9538.20 | E2 | 7.98(-3) | |
a3P-c3P | 2-2 | 8599.20 | M1,E2 | 1.74(-2)* |
2-1 | 8291.74 | M1,E2 | 2.21(-3)* | |
1-2 | 8706.82 | E2 | 2.48(-2) | |
1-1 | 8391.77 | M1 | 1.06(-3)* | |
0-2 | 8852.42 | E2 | 7.86(-3) | |
a3P-b1G | 2-4 | 8410.52 | E2 | 1.17(-2) |
a3P-a3H | 2-4 | 6827.97 | E2 | 2.53(-3) |
a3P-a3D | 2-3 | 7028.51 | M1,E2 | 1.83(-2) |
2-2 | 6731.56 | M1,E2 | 2.06(-2) | |
2-1 | 6245.07 | M1,E2 | 1.70(-1) | |
1-3 | 7100.25 | E2 | 1.11(-2) | |
1-2 | 6797.34 | M1,E2 | 5.86(-3) | |
1-1 | 6301.64 | M1,E2 | 1.02(-2)* | |
0-2 | 6885.75 | E2 | 1.57(-2) | |
a3P-a1P | 2-1 | 6979.10 | M1,E2 | 5.33(-2) |
1-1 | 7049.83 | M1,E2 | 3.37(-2)* | |
0-1 | 7144.98 | M1 | 2.53(-3)* | |
a3P-b1D | 2-2 | 5572.98 | E2 | 2.06(-1) |
1-2 | 5617.98 | M1,E2 | 4.40(-3)* | |
0-2 | 5678.24 | E2 | 4.50(-3) | |
a3P-a5D | 2-4 | 3643.96 | E2 | 7.50(-3) |
2-3 | 3563.61 | M1,E2 | 2.19(-3) | |
2-1 | 3477.49 | M1,E2 | 1.64(-3)* | |
1-3 | 3581.96 | E2 | 2.99(-3) | |
1-2 | 3528.34 | M1,E2 | 3.30(-3) | |
0-1 | 3518.19 | M1 | 1.87(-3) | |
a3P-c3F | 2-2 | 3633.96 | E2 | 1.14(-1) |
2-3 | 3619.71 | E2 | 5.26(-1) | |
2-4 | 3597.87 | E2 | 1.70(+0) | |
1-2 | 3653.04 | E2 | 9.04(-1) | |
1-3 | 3638.64 | E2 | 1.25(+0) | |
0-2 | 3678.43 | E2 | 8.20(-1) | |
a3P-a1F | 2-3 | 3242.64 | E2 | 8.79(-1) |
1-3 | 3257.83 | E2 | 8.10(-3) | |
a5P-a5P | 2-1 | 325485.09 | M1 | 1.18(-3) |
a5P-b3P | 3-2 | 15861.40 | M1 | 4.84(-3) |
2-2 | 16543.69 | M1 | 2.00(-3)* | |
2-1 | 16031.75 | M1 | 1.03(-3) | |
1-2 | 17429.60 | M1 | 1.18(-3) | |
1-1 | 16862.30 | M1 | 2.44(-2) | |
1-0 | 16463.02 | M1 | 4.75(-2) | |
a5P-c3P | 3-2 | 14051.25 | M1 | 1.72(-1) |
2-2 | 14584.08 | M1 | 9.32(-2) | |
1-2 | 15268.20 | M1 | 1.93(-2) | |
1-1 | 14325.09 | M1 | 1.42(-1) | |
1-0 | 13289.29 | M1 | 1.49(-1) |
Multiplet | J-J' | ![]() | Type | Aki |
a5P-a3D | 3-3 | 10292.77 | M1 | 4.34(-2) |
2-3 | 10575.80 | M1 | 1.21(-2) | |
2-2 | 9917.51 | M1 | 4.02(-2) | |
1-2 | 10229.20 | M1 | 1.07(-2) | |
1-1 | 9146.48 | M1 | 4.70(-3) | |
a5P-a1P | 2-1 | 10464.33 | M1 | 1.49(-3) |
1-1 | 10811.93 | M1 | 2.46(-2) | |
a5P-b1D | 3-2 | 7445.18 | M1 | 2.48(-3) |
a5P-a5D | 3-4 | 4361.04 | E2 | 5.13(-1) |
3-3 | 4246.44 | E2 | 6.36(-1) | |
3-2 | 4171.30 | E2 | 4.60(-1) | |
3-1 | 4124.73 | E2 | 1.88(-1) | |
2-4 | 4411.05 | E2 | 3.92(-1) | |
2-2 | 4217.04 | E2 | 2.72(-1) | |
2-1 | 4169.44 | E2 | 7.97(-1) | |
1-3 | 4351.26 | E2 | 3.70(-1) | |
1-2 | 4272.39 | E2 | 3.56(-1) | |
1-1 | 4223.55 | E2 | 1.62(-1) | |
a5P-c3F | 3-3 | 4326.34 | M1,E2 | 1.22(-3) |
3-4 | 4295.18 | M1,E2 | 3.50(-3) | |
2-3 | 4375.56 | E2 | 1.93(-3) | |
1-2 | 4456.60 | M1,E2 | 1.65(-3) | |
1-3 | 4435.19 | E2 | 3.27(-3) | |
a1G-b1G | 4-4 | 16781.66 | M1,E2 | 2.76(-3) |
a1G-a3H | 4-5 | 12075.42 | M1,E2 | 3.58(-3) |
4-4 | 11474.94 | M1,E2 | 5.19(-3)* | |
a1G-a1H | 4-5 | 8787.06 | E2 | 1.19(-1) |
a1G-b1D | 4-2 | 8324.52 | E2 | 1.61(-2) |
a1G-c3F | 4-3 | 4609.27 | M1,E2 | 8.06(-3) |
4-4 | 4573.92 | M1,E2 | 4.28(-3)* | |
a1G-a1F | 4-3 | 4014.80 | E2 | 3.99(+0) |
a3G-a3G | 5-4 | 259784.18 | M1 | 1.27(-3) |
4-3 | 246767.08 | M1 | 1.70(-3) | |
a3G-b1G | 5-4 | 28379.33 | M1 | 1.44(-2) |
4-4 | 31859.76 | M1 | 1.86(-3)* | |
3-4 | 36582.93 | M1 | 1.05(-2) | |
a3G-a3H | 5-6 | 18238.80 | M1 | 4.18(-2) |
5-5 | 17105.46 | M1 | 4.14(-2)* | |
5-4 | 15924.97 | M1 | 5.34(-3) | |
4-5 | 18311.16 | M1,E2 | 1.97(-3) | |
4-4 | 16964.94 | M1 | 7.16(-2) | |
3-4 | 18217.36 | M1 | 3.19(-2) | |
a3G-a1H | 5-5 | 11179.22 | M1 | 1.10(-1)* |
4-5 | 11681.93 | M1 | 4.66(-2) | |
a3G-a5D | 5-4 | 5242.12 | M1,E2 | 1.19(-3) |
a3G-c3F | 5-3 | 5192.06 | E2 | 1.79(-2) |
5-4 | 5147.26 | M1,E2 | 1.19(-1) | |
4-2 | 5328.54 | E2 | 1.97(-2) | |
4-3 | 5297.95 | M1,E2 | 2.79(-2) | |
4-4 | 5251.30 | M1,E2 | 4.86(-2)* | |
3-2 | 5446.14 | M1,E2 | 1.01(-1) | |
3-3 | 5414.19 | M1,E2 | 7.07(-2) | |
3-4 | 5365.49 | M1,E2 | 3.69(-3) | |
a3G-a1F | 5-3 | 4449.86 | E2 | 1.90(-3) |
4-3 | 4527.41 | M1,E2 | 1.09(-1) | |
3-3 | 4612.03 | M1 | 6.89(-2) | |
b3P-c3P | 2-1 | 80425.36 | M1 | 2.86(-2) |
1-2 | 161506.86 | M1 | 3.02(-3) | |
1-0 | 62716.98 | M1 | 8.84(-3) |
Multiplet | J-J' | ![]() | Type | Aki |
b3P-a3D | 2-3 | 29317.43 | M1 | 8.63(-3) |
2-2 | 24761.29 | M1 | 1.39(-2) | |
2-1 | 19246.36 | M1 | 2.05(-2) | |
1-2 | 26004.16 | M1 | 1.63(-3) | |
1-1 | 19988.94 | M1 | 1.23(-2)* | |
0-1 | 20580.64 | M1 | 2.35(-2) | |
b3P-a1P | 2-1 | 28476.50 | M1 | 2.39(-2) |
1-1 | 30132.78 | M1 | 3.08(-2) | |
0-1 | 31497.89 | M1 | 3.22(-2) | |
b3P-b1D | 1-2 | 14422.01 | M1 | 1.79(-2) |
b3P-c3F | 2-2 | 5987.62 | M1,E2 | 2.02(-3) |
2-3 | 5949.02 | M1,E2 | 3.26(-3) | |
2-4 | 5890.27 | E2 | 3.81(-3) | |
1-2 | 6057.63 | E2 | 1.62(-3) | |
0-2 | 6110.87 | E2 | 2.28(-3) | |
b3P-a1F | 1-3 | 5043.14 | E2 | 2.30(-3) |
c3P-c3P | 1-0 | 183790.32 | M1 | 5.46(-3) |
c3P-a3D | 2-3 | 38480.06 | M1 | 1.24(-2) |
2-2 | 30994.59 | M1 | 1.88(-2) | |
2-1 | 22812.32 | M1 | 5.63(-2) | |
1-2 | 35775.97 | M1 | 1.17(-3) | |
1-1 | 25301.09 | M1 | 5.33(-2) | |
0-1 | 29340.14 | M1 | 1.18(-2) | |
c3P-a1P | 2-1 | 37044.23 | M1 | 1.35(-3) |
1-1 | 44086.30 | M1 | 1.75(-2) | |
0-1 | 57998.59 | M1 | 2.32(-3) | |
c3P-b1D | 2-2 | 15836.13 | M1 | 1.36(-1) |
1-2 | 16996.75 | M1 | 1.02(-2) | |
c3P-c3F | 2-2 | 6293.69 | M1,E2 | 4.64(-3)* |
2-3 | 6251.06 | M1,E2 | 1.46(-2) | |
2-4 | 6186.22 | E2 | 1.67(-2) | |
1-2 | 6469.25 | M1,E2 | 1.67(-2) | |
1-3 | 6424.22 | E2 | 8.60(-3) | |
0-2 | 6705.28 | E2 | 6.96(-3) | |
b1G-a3H | 4-5 | 43059.03 | M1 | 1.65(-2) |
4-4 | 36287.74 | M1 | 1.78(-2) | |
b1G-a1H | 4-5 | 18445.18 | M1,E2 | 3.59(-3) |
b1G-c3F | 4-2 | 6398.75 | E2 | 2.56(-3) |
4-3 | 6354.69 | M1,E2 | 4.29(-2) | |
4-4 | 6287.69 | M1 | 6.49(-2) | |
b1G-a1F | 4-3 | 5277.37 | M1,E2 | 1.27(-3)* |
a3H-a3H | 5-4 | 230756.04 | M1 | 1.88(-3) |
a3H-a1H | 6-5 | 28882.17 | M1 | 1.11(-2) |
4-5 | 37513.36 | M1 | 5.74(-3) | |
a3H-c3F | 6-4 | 7171.06 | E2 | 3.57(-2) |
5-3 | 7454.90 | E2 | 2.70(-2) | |
5-4 | 7362.86 | M1,E2 | 3.72(-3) | |
4-2 | 7768.63 | E2 | 2.42(-2) | |
4-3 | 7703.78 | M1,E2 | 4.20(-3) | |
a3H-a1F | 5-3 | 6014.53 | E2 | 2.21(-3) |
a3D-a3D | 3-2 | 159331.81 | M1 | 4.42(-3) |
2-1 | 86413.59 | M1 | 2.74(-2) | |
a3D-b1D | 3-2 | 26911.21 | M1 | 2.50(-2) |
2-2 | 32380.25 | M1 | 6.74(-3) | |
1-2 | 51784.59 | M1 | 1.68(-3) |
Multiplet | J-J' | ![]() | Type | Aki |
a3D-c3F | 3-2 | 7524.36 | M1,E2 | 1.52(-3) |
3-3 | 7463.51 | M1,E2 | 1.06(-2)* | |
3-4 | 7371.27 | M1,E2 | 2.01(-2) | |
2-2 | 7897.31 | M1,E2 | 1.20(-2) | |
2-3 | 7830.31 | M1,E2 | 4.24(-3) | |
2-4 | 7728.84 | E2 | 4.76(-3) | |
1-2 | 8691.65 | M1,E2 | 2.90(-3) | |
a3D-a1F | 3-3 | 6020.13 | M1,E2 | 8.23(-3)* |
2-3 | 6256.53 | M1,E2 | 6.09(-3) | |
1-3 | 6744.88 | E2 | 5.19(-3) | |
a1P-a3D | 1-2 | 189791.64 | M1 | 1.09(-3) |
1-1 | 59378.22 | M1 | 1.24(-2) | |
a1P-b1D | 1-2 | 27661.02 | M1 | 1.79(-2) |
a1P-c3F | 1-2 | 7581.83 | M1,E2 | 4.62(-3) |
1-3 | 7520.05 | E2 | 3.90(-3) | |
a1P-a1F | 1-3 | 6056.86 | E2 | 5.39(-3) |
a1H-a1F | 5-3 | 7392.46 | E2 | 3.19(-2) |
b1D-c3F | 2-2 | 10444.72 | M1 | 2.46(-3) |
2-3 | 10327.83 | M1,E2 | 5.09(-3) | |
a5D-a5D | 4-3 | 161611.29 | M1 | 7.67(-3) |
3-2 | 235729.18 | M1 | 4.80(-3) | |
2-1 | 369448.43 | M1 | 1.85(-3) | |
c3F-a1F | 2-3 | 30113.81 | M1 | 2.51(-3) |
4-3 | 32843.85 | M1 | 1.90(-3) |
The calculation of line strengths and transition probabilities involves the
evaluation of the sum of several terms resulting of intermediate coupling
and/or configuration interaction mixing of basis states. When strong basis
function mixing is present, there frequently are destructive interference
effects that cause a weak line to become still weaker or a strong line to
nearly disappear. Consequently, in making numerical calculations on
individual transitions, it is worthwhile evaluating the cancellation
factors, CF, as defined by Cowan (1981). Small values of CF
factors (typically CF 0.01) indicate that the corresponding lines
may be expected to show large percent errors. Such transitions are indicated
by starred A-values in Table 3 (click here).
Although it is well established that the neglect of some configurations is
partly overcome by scaling down the Slater integrals and by fitting the
calculated energy levels to the observed values, the effects of
configurations not included explicitly in our physical model due to computer
memory limitations were estimated in separate semi-empirical HFR
calculations. In particular, the 3s3p63d9, 3s3p63d84s and
3s3p63d74s2 configurations were investigated. As mentioned recently
by Quinet & Hansen (1995), these configurations, corresponding
to the core excitation 3s 3d in 3s23p63d8,
3s23p63d74s and 3s23p63d64s2, might contribute to the
transition probabilities for the forbidden lines considered in the present
work. By comparing a three-configuration calculation (including 3d8,
3d74s and 3d64s2) with a six-configuration calculation (adding
3s3p63d9, 3s3p63d84s and 3s3p63d74s2), the effect on
the A-values of the latter three configurations was estimated. In general,
for the strongest multiplets (A
0.01 s-1),
both calculations agree within a few percent if we except a3F-b1G,
a3F-a1P, a3F-b1D, b3F-a1P, a3P-c3P,
a5P-b3P, a5P-a3D, a3G-a3G, b3P-a1P,
b3P-b1D, a3D-a1F and a1P-b1D for which the multiplet
A-values were
larger when calculated with the six-configuration
expansion. Exceptions occur also for the a3F-a5D, a1G-b1D
and c3P-c3F lines for which the transition probabilities were
reduced by about 25% when adding the 3s3p63d9, 3s3p63d84s and
3s3p63d74s2 configurations.
Multiplet | J-J' | ![]() ![]() | Type | Aki(NS) | Aki(HFR) |
a3F-a3F | 4-3 | 10.52 | M1 | 2.23(-2) | 2.21(-2) |
3-2 | 15.46 | M1 | 9.73(-3) | 9.88(-3) | |
a3F-a5F | 4-5 | 2.984 | M1 | 4.90(-6) | 3.09(-6) |
a5F-a5F | 5-4 | 14.74 | M1 | 1.23(-2) | 1.03(-2) |
4-3 | 18.80 | M1 | 1.08(-2) | 9.27(-3) | |
3-2 | 25.67 | M1 | 5.72(-3) | 5.00(-3) | |
2-1 | 39.26 | M1 | 1.78(-3) | 1.57(-3) | |
a3F-b3F | 4-4 | 1.019 | E2 | 3.85(-2) | 5.36(-2) |
3-4 | 1.128 | E2 | 4.91(-3) | 6.33(-3) | |
2-4 | 1.217 | E2 | 1.54(-4) | 2.11(-4) | |
4-3 | 0.934 | E2 | 1.63(-2) | 2.30(-2) | |
3-3 | 1.025 | E2 | 2.58(-2) | 3.47(-2) | |
2-3 | 1.097 | E2 | 6.97(-3) | 8.74(-3) | |
4-2 | 0.883 | E2 | 1.38(-3) | 1.01(-3) | |
3-2 | 0.964 | E2 | 1.87(-2) | 2.60(-2) | |
2-2 | 1.028 | E2 | 3.09(-2) | 3.84(-2) | |
a5F-b3F | 5-4 | 1.547 | M1 | 2.89(-2) | 2.66(-2) |
4-4 | 1.728 | M1 | 2.82(-3) | 2.98(-3) | |
3-4 | 1.903 | M1 | 4.28(-3) | 4.81(-3) | |
4-3 | 1.497 | M1 | 6.41(-3) | 4.17(-3) | |
3-3 | 1.626 | M1 | 4.91(-3) | 4.53(-3) | |
2-3 | 1.736 | M1 | 1.04(-2) | 9.59(-3) | |
3-2 | 1.479 | M1 | 5.38(-4) | 1.99(-4)* | |
2-2 | 1.569 | M1 | 5.30(-3) | 4.34(-3) | |
1-2 | 1.634 | M1 | 1.69(-2) | 1.34(-2) | |
b3F-b3F | 4-3 | 11.16 | M1 | 1.87(-2) | 1.67(-2) |
3-2 | 16.30 | M1 | 8.32(-3) | 7.26(-3) |
A very limited number of transition probabilities has been reported
previously for [Co II] lines. To our knowledge, only the results obtained by
Nussbaumer & Storey (1988b) for the forbidden transitions
involving the first three terms, a3F, a5F and b3F, have been
published. Their calculations were based on the multiconfiguration expansion
of eigenfunctions as implemented in the SUPERSTRUCTURE code of Eissner
et al. (1974) and modified by Nussbaumer & Storey
(1978). In their study, the individual configurations were
constructed from one-electron wavefunctions, the radial parts of which being
calculated either in a scaled Thomas-Fermi-Dirac or a scaled Coulomb
potential. The scaling parameters in the potentials were chosen to minimize
the sum of the energies of the lowest three terms. Table 4 (click here) shows
the comparison between the computations of Nussbaumer & Storey
(1988b) and the present work. The agreement between the two sets of
results is very good (within 15%) for the a3F-a3F, a5F-a5F,
a5F-b3F and b3F-b3F magnetic dipole transitions if we except
a5F4-b3F3 and a5F3-b3F2 for which larger
discrepancies are observed. The difference can even reach a factor of three
for the latter transition but, in that particular case, the A-value
computed in our work is affected by strong cancellation effects and,
consequently, could be uncertain. Larger differences () appear also
when comparing our results with those obtained by Nussbaumer & Storey
(1988b) for the a3F-a5F magnetic dipole and a3F-b3F
electric quadrupole transitions. For these multiplets, the transitions arise
through spin-orbit and configuration interactions and are therefore
particularly sensitive to the choice of eigenfunctions. The magnitudes of
the coefficients due to spin-orbit and CI depend on the a3F-a5F and
a3F-b3F term separations. These term separations calculated in our
work (3460 and 9757 cm-1) are in excellent agreement with the
observations (3457 and 9774 cm-1) while the values obtained in
intermediate coupling by Nussbaumer & Storey (1988b), i.e.
595 and 7551 cm-1, are too small.