Table of Contents

Trial Energy Eigenvalues for Electron Orbitals

Tabulated values from Herman & Skillman's book.

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Listed in order of Z number. All values are given in Rydbergs.

Z   K L1 L23 M1 M23 M45 N1 N23 N45 M67 O1 O23 O45 O67 P1 P23 P45 Q1
2 He 1.721 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 Li 4.398 0.4039 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 Be 8.698 0.6012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 B 14.373 0.9239 0.4898 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 C 21.378 1.2895 0.6603 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 N 29.737 1.6959 0.8445 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 O 39.456 2.144 1.0409 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 F 50.538 2.6349 1.2502 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 Ne 62.99 3.168 1.471 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 Na 78.05 4.723 2.669 0.3777 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 Mg 94.95 6.552 4.144 0.5051 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 Al 113.66 8.715 5.947 0.7445 0.3582 0 0 0 0 0 0 0 0 0 0 0 0 0
14 Si 134.04 11.087 7.954 0.9975 0.4802 0 0 0 0 0 0 0 0 0 0 0 0 0
15 P 156.11 13.684 10.18 1.2588 0.6139 0 0 0 0 0 0 0 0 0 0 0 0 0
16 S 179.89 16.51 12.628 1.53 0.7562 0 0 0 0 0 0 0 0 0 0 0 0 0
17 Cl 205.36 19.57 15.303 1.8124 0.9067 0 0 0 0 0 0 0 0 0 0 0 0 0
18 Ar 232.54 22.865 18.207 2.1068 1.0653 0 0 0 0 0 0 0 0 0 0 0 0 0
19 K 262.09 27.06 22.008 2.9521 1.7328 0 0.3086 0 0 0 0 0 0 0 0 0 0 0
20 Ca 293.52 31.627 26.18 3.875 2.4823 0 0.3987 0 0 0 0 0 0 0 0 0 0 0
21 Sc 326.29 35.973 30.13 4.4308 2.8831 0.5308 0.4309 0 0 0 0 0 0 0 0 0 0 0
22 Ti 360.77 40.521 34.279 4.9813 3.276 0.6279 0.4578 0 0 0 0 0 0 0 0 0 0 0
23 V 396.95 45.289 38.646 5.5371 3.6704 0.7183 0.4819 0 0 0 0 0 0 0 0 0 0 0
24 Cr 434.45 49.823 42.779 5.7114 3.691 0.4789 0.4312 0 0 0 0 0 0 0 0 0 0 0
25 Mn 474.47 55.509 48.05 6.6804 4.4776 0.8859 0.5253 0 0 0 0 0 0 0 0 0 0 0
26 Fe 515.81 60.957 53.084 7.2691 4.8912 0.9625 0.5451 0 0 0 0 0 0 0 0 0 0 0
27 Co 558.89 66.648 58.358 7.8785 5.32 1.0415 0.5647 0 0 0 0 0 0 0 0 0 0 0
28 Ni 603.7 72.57 63.86 8.5 5.756 1.1151 0.5831 0 0 0 0 0 0 0 0 0 0 0
29 Cu 649.7 78.15 69.02 8.634 5.709 0.7431 0.5091 0 0 0 0 0 0 0 0 0 0 0
30 Zn 698.4 85.12 75.55 9.793 6.661 1.2582 0.6185 0 0 0 0 0 0 0 0 0 0 0
31 Ga 749.2 92.64 82.63 11.238 7.892 2.04 0.8377 0.3619 0 0 0 0 0 0 0 0 0 0
32 Ge 801.8 100.51 90.05 12.762 9.197 2.8901 1.0571 0.4683 0 0 0 0 0 0 0 0 0 0
33 As 856.3 108.73 97.82 14.35 10.587 3.8229 1.2754 0.5826 0 0 0 0 0 0 0 0 0 0
34 Se 912.5 117.3 105.95 16.074 12.058 4.834 1.4953 0.7015 0 0 0 0 0 0 0 0 0 0
35 Br 970.7 126.24 114.43 17.857 13.611 5.9254 1.7185 0.8247 0 0 0 0 0 0 0 0 0 0
36 Kr 1030.6 135.53 123.25 19.728 15.249 7.0975 1.9456 0.9519 0 0 0 0 0 0 0 0 0 0
37 Rb 1092.9 145.68 132.94 22.203 17.487 8.869 2.6124 1.4775 0 0 0.2905 0 0 0 0 0 0 0
38 Sr 1157.2 156.27 143.06 24.82 19.866 10.777 3.3055 2.0351 0 0 0.3682 0 0 0 0 0 0 0
39 Yt 1223 166.97 153.29 27.285 22.089 12.528 3.7821 2.3929 0.4088 0 0.4069 0 0 0 0 0 0 0
40 Zr 1290.7 177.97 163.83 29.797 24.358 14.322 4.2339 2.7285 0.5159 0 0.4359 0 0 0 0 0 0 0
41 Nb 1359.9 189.03 174.41 32.1 26.415 15.901 4.4359 2.8271 0.4478 0 0.4019 0 0 0 0 0 0 0
42 Mo 1431.2 200.68 185.58 34.711 28.78 17.785 4.8484 3.1252 0.5261 0 0.4169 0 0 0 0 0 0 0
43 Tc 1504.6 212.98 197.41 37.72 31.539 20.063 5.5469 3.6974 0.8259 0 0.498 0 0 0 0 0 0 0
44 Ru 1579.2 224.97 208.92 40.156 33.725 21.761 5.6733 3.7207 0.6857 0 0.4424 0 0 0 0 0 0 0
45 Rh 1656 237.63 221.09 42.99 36.305 23.853 6.0877 4.0197 0.7663 0 0.4533 0 0 0 0 0 0 0
46 Pd 1734.3 250.28 233.26 45.558 38.619 25.674 6.185 4.009 0.5861 0 0 0 0 0 0 0 0 0
47 Ag 1815 263.96 246.46 48.886 41.691 28.253 6.925 4.624 0.93 0 0.4724 0 0 0 0 0 0 0
48 Cd 1897.7 278.08 260.08 52.393 44.94 31.005 7.745 5.313 1.3439 0 0.567 0 0 0 0 0 0 0
49 In 1982.5 292.76 274.27 56.173 48.459 34.025 8.743 6.178 1.9269 0 0.7451 0.3452 0 0 0 0 0 0
50 Sn 2069.1 307.82 288.83 60.068 52.093 37.159 9.761 7.06 2.5262 0 0.9192 0.437 0 0 0 0 0 0
51 Sb 2157.6 323.27 303.78 64.091 55.853 40.417 10.812 7.973 3.1564 0 1.0898 0.5337 0 0 0 0 0 0
52 Te 2248 339.13 319.14 68.245 59.743 43.802 11.899 8.921 3.8208 0 1.2594 0.6328 0 0 0 0 0 0
53 I 2340.3 355.39 334.9 72.529 63.761 47.314 13.023 9.903 4.5206 0 1.4296 0.7341 0 0 0 0 0 0
54 Xe 2434.4 372.05 351.05 76.945 67.91 50.955 14.184 10.923 5.257 0 1.6004 0.8368 0 0 0 0 0 0
55 Cs 2530.9 389.53 368.03 81.91 72.6 55.138 15.793 12.388 6.437 0 2.1187 1.2543 0 0 0.262 0 0 0
56 Ba 2629.3 407.44 385.44 87.03 77.45 59.479 17.465 13.916 7.679 0 2.6393 1.68 0 0 0.328 0 0 0
57 La 2729.5 425.55 403.04 92.07 82.23 63.743 18.97 15.275 8.751 0 2.9767 1.9372 0.4522 0 0.3577 0 0 0
58 Ce 2830.8 443.3 420.3 96.43 86.32 67.32 19.82 16 9.215 1.236 3.067 1.99 0.455 0 0.3623 0 0 0
59 Pr 2933.4 460.82 437.33 100.12 89.74 70.247 20.046 16.093 9.079 0.8102 2.9108 1.8372 0 0 0.3417 0 0 0
60 Nd 3038.5 479.28 455.29 104.59 93.95 73.944 20.894 16.804 9.528 0.8678 2.9917 1.8814 0 0 0.3455 0 0 0
61 Pm 3145.3 498.08 473.6 109.14 98.22 77.709 21.741 17.515 9.974 0.9191 3.0717 1.9249 0 0 0.3493 0 0 0
62 Sm 3254.1 517.23 492.26 113.76 102.57 81.539 22.591 18.226 10.418 0.9642 3.1491 1.966 0 0 0.353 0 0 0
63 Eu 3364.6 536.72 511.25 118.45 106.98 85.438 23.444 18.939 10.862 1.004 3.2251 2.0057 0 0 0.3565 0 0 0
64 Gd 3477.7 557.23 531.26 123.95 112.21 90.14 24.956 20.302 11.933 1.5912 3.5683 2.2693 0.4363 0 0.3878 0 0 0
65 Tb 3591.3 576.74 550.29 128.04 116.03 93.44 25.165 20.377 11.751 10.702 3.3743 2.0819 0 0 0.3633 0 0 0
66 Dy 3707.4 597.27 570.32 132.96 120.66 97.56 26.034 21.102 12.196 1.0968 3.448 2.1189 0 0 0.3666 0 0 0
67 Ho 3825.4 618.14 590.7 137.94 125.36 101.73 26.907 21.829 12.642 1.117 3.5194 2.1538 0 0 0.3697 0 0 0
68 Er 3945.2 639.38 611.44 143.01 130.16 106 27.797 22.572 13.099 1.1418 3.5937 2.1908 0 0 0.3731 0 0 0
69 Tm 4066.9 661 632.57 148.19 135.06 110.37 28.702 23.328 13.565 1.1677 3.6651 2.2248 0 0 0.3759 0 0 0
70 Yb 4190.3 682.89 653.96 153.38 139.96 114.74 29.593 24.069 14.013 1.1748 3.7389 2.2616 0 0 0.3794 0 0 0
71 Lu 4316.4 705.89 676.45 159.46 145.75 119.99 31.211 25.53 15.164 1.8092 4.1225 2.5588 0.3905 0 0.416 0 0 0
72 Hf 4444.3 729.27 699.33 165.68 151.68 125.37 32.878 27.037 16.355 2.4819 4.4903 2.8401 0.4902 0 0.4437 0 0 0
73 Ta 4574 753.08 722.62 172.04 157.75 130.89 34.597 28.594 17.593 3.199 4.8525 3.1151 0.5875 0 0.4664 0 0 0
74 W 4705.8 777.29 746.32 178.55 163.97 136.56 36.367 30.199 18.875 3.961 5.2126 3.3875 0.6841 0 0.4858 0 0 0
75 Re 4839.4 801.9 770.42 185.2 170.33 142.36 38.185 31.851 20.201 4.765 5.5715 3.6583 0.7806 0 0.5027 0 0 0
76 Os 4974.9 826.92 794.92 191.99 176.82 148.29 40.048 33.547 21.568 5.61 5.9297 3.9281 0.8771 0 0.5177 0 0 0
77 Ir 5112.3 852.34 819.83 198.92 183.45 154.35 41.956 35.287 22.976 6.497 6.2892 4.1986 0.9745 0 0.5311 0 0 0
78 Pt 5251.3 877.83 844.8 205.65 189.88 160.22 43.58 36.74 24.095 7.095 6.3498 4.1816 0.8373 0 0.4693 0 0 0
79 Au 5392.1 903.98 870.43 212.81 196.75 166.52 45.557 38.546 25.565 8.044 6.6945 4.437 0.92 0 0.4775 0 0 0
80 Hg 5535.7 930.98 896.92 220.49 204.12 173.33 47.934 40.749 27.43 9.386 7.3714 5.0123 1.2703 0 0.5653 0 0 0
81 Tl 5861.5 958.55 923.96 228.47 211.8 180.43 50.513 43.155 29.495 10.927 8.1999 5.7368 1.7644 0 0.7302 0.3393 0 0
82 Pb 5828.9 986.5 951.4 236.59 219.61 187.67 53.147 45.614 31.612 12.521 9.03 6.461 2.2588 0 0.8889 0.4246 0 0
83 Bi 5978.1 1014.9 979.2 244.87 227.59 195.07 55.847 48.137 33.79 14.175 9.874 7.198 2.767 0 1.0423 0.5133 0 0
84 Po 6129.5 1043.7 1007.5 253.31 235.72 202.63 58.611 50.724 36.032 15.893 10.736 7.952 3.2927 0 1.1934 0.6035 0 0
85 At 6282.6 1073 1036.3 261.91 244.04 210.35 61.443 53.377 38.338 17.674 11.617 8.724 3.8377 0 1.3435 0.6948 0 0
86 Rn 6437.8 1102.7 1065.4 270.67 252.48 218.22 64.342 56.097 40.708 19.52 12.517 9.515 4.402 0 1.493 0.7867 0 0
87 Fr 6595.2 1133.1 1095.4 279.97 261.46 226.62 67.675 59.249 43.51 21.797 13.802 10.689 5.3476 0 1.9516 1.1573 0 0.2506
88 Ra 6754.1 1164 1125.8 289.43 270.62 235.2 71.087 62.481 46.392 24.154 15.118 11.895 6.3248 0 2.4019 1.5258 0 0.3199
89 Ac 6915 1195.2 1156.4 298.89 279.77 243.77 74.394 65.607 49.165 26.402 16.281 12.946 7.147 0 2.6951 1.7506 0.4294 0.3408
90 Th 7077.8 1226.8 1187.5 308.49 289.06 252.48 77.75 68.78 51.985 28.697 17.447 14 7.9729 0 2.9759 1.9652 0.5158 0.3642
91 Pa 7242.8 1258 1218.1 317.28 297.53 260.35 80.22 71.064 53.91 30.088 17.767 14.224 8.019 1.0672 2.8808 1.8678 0.4449 0.3492
92 U 7409.2 1289.9 1249.5 326.64 306.58 268.81 83.16 73.819 56.308 31.954 18.49 14.844 8.438 1.183 2.9631 1.9181 0.4494 0.353
93 Np 7577.5 1322.3 1281.3 336.1 315.73 277.37 86.12 76.594 58.725 33.838 19.205 15.456 8.85 1.2952 3.0399 1.9639 0.4516 0.3564
94 Pu 7747.2 1354.5 1313.1 345.2 324.51 285.56 88.63 78.918 60.689 35.265 19.467 15.623 8.838 1.0727 2.9033 1.8311 0 0.3357
95 Am 7919.2 1387.6 1345.6 354.89 333.89 294.34 91.63 81.734 63.143 37.184 20.157 16.209 9.226 1.1654 2.968 1.8674 0 0.3387
96 Cm 8093.6 1421.6 1379.1 365.21 343.89 303.75 95.16 85.078 66.126 39.633 21.308 17.251 10.05 1.6156 3.2515 2.0876 0.454 0.3661
97 Bk 8268.9 1455 1411.9 374.62 352.99 312.25 97.72 87.44 68.127 41.093 21.523 17.37 9.989 1.3438 3.0885 1.9327 0 0.3438
98 Cf 8446.7 1489.3 1445.7 384.67 362.72 321.38 100.8 90.34 70.661 43.087 22.202 17.946 10.367 1.4304 3.1454 1.9628 0 0.3462
99 Es 8626.4 1523.9 1479.8 394.83 372.57 330.62 103.92 93.27 73.223 45.108 22.879 18.52 10.742 1.5154 3.2006 1.9914 0 0.3486
100 Fm 8807.9 1559 1514.4 405.12 382.53 339.99 107.07 96.23 75.815 47.157 23.555 19.093 11.116 1.599 3.2541 2.0188 0 0.3509
101 Md 8991.3 1594.4 1549.3 415.53 392.62 349.48 110.25 99.22 78.437 49.234 24.231 19.665 11.489 1.6808 3.3062 2.0449 0 0.3531
102 No 9176.6 1630.3 1584.6 426.06 402.84 359.08 113.46 102.24 81.089 51.34 24.906 20.237 11.86 1.7616 3.357 2.07 0 0.3552
103 Lr 9364.3 1667.1 1620.9 437.33 413.78 369.41 117.31 105.9 84.373 54.08 26.141 21.36 12.765 2.3011 3.6731 2.3183 0.4358 0.3859

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Created: November 9, 1998 --- Last Updated: November 13, 1998
By Mark D. Pauli