Advances in Physical Chemistry / 2018 / Article / Tab 1

Research Article

Solution of the Rovibrational Schrödinger Equation of a Molecule Using the Volterra Integral Equation

Table 1

The energy eigenvalues , the rotational constants , and the centrifugal distortion constants , , of the pure vibrational energy levels of the Morse potential of CO molecule.

V cm−1 cm−1  × 106 cm−1  × 1012 cm−1  × 1017 cm−1

01081.781.92256.119545.80083.6445
1081.610.02
1081.58570.02

13225.051.90506.118855.65563.7160
3225.050.00
3224.85680.03

25341.841.88756.118495.51003.7848
5342.110.00
5341.64780.00

37432.221.87006.118445.36593.8409
7432.790.01
7432.02470.00

49496.251.85256.118635.22723.8678
9497.090.18
9496.05500.00

511534.031.83506.118925.10073.8397
11535.010.01
11533.807870.00

613545.611.81756.119104.99703.7184
13546.560.00
13545.35430.00

715531.121.80016.118844.93233.4491
15531.720.00
15530.7670.00

817490.661.78266.117614.92982.9556
17490.12020.00

919424.391.76526.114675.02242.2224
19423.49010.00

1021332.481.74786.108955.25450.8581
21330.95390.01

1123195.481.73536.30635.11767.4807
23212.59070.07

1225046.371.71796.32654.86087.7559
25068.48070.09

1326870.691.70046.34764.59058.0499
26898.70560.10

1428668.431.68296.36954.30618.3641
28703.34780.00

1530439.591.66536.39224.00668.7004
30482.49080.14

1632184.181.64766.41593.69119.0606
32236.21890.16

1733902.191.62996.44053.35869.4470
33964.61670.18

1835593.631.61216.46613.00819.8617
35667.76910.21

1937258.491.59436.49272.638410.307
37345.76080.23

2038896.771.57646.52042.248310.787
38998.67660.26

2140508.470.291.55846.54931.836311.303
40626.6001

2242093.61.54036.57941.401111.859
42229.61440.32

2343652.151.52216.61089.409612.460
43807.80090.36

2445184.131.50396.64354.542413.109
45361.23960.39

2546689.521.48566.67756.097813.812
46890.00810.43

2648168.351.46726.71316.067614.573
48394.18140.47

2749620.591.44886.75021.185315.398
49873.83180.51

2851046.261.43026.78901.799216.295
51329.02760.55

2952445.351.41166.82952.451017.270
52759.83340.60

3053817.871.39296.87183.143818.332
54166.30900.65

3155163.81.37416.91603.880719.496
55548.50910.70

3256483.171.35526.96234.665420.757
56906.48250.75

3357775.951.33627.01075.501722.142
58240.27161.11

3459042.171.31717.06146.394223.660
59711.71.12

3560281.791.29797.11457.347525.327
60835.42990.92

3661494.851.27857.17028.367027.299
62096.84490.98

3762681.331.25917.22869.458929.181
63334.16571.04

3863841.231.23967.289910.63031.412
63547.3990.46

3964974.551.22007.354311.88733.881
65736.50761.17

4066081.31.20027.422013.23836.619
66901.49051.24

The first entry is for the present work.
The second and the third entries are, respectively, for [14, 15].

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