N

Spherical well

Hydrogen atom

Harmonic oscillator

3

π

2.789

3

2.25

4

3.8317

4.894

5

4

5

4.4934

7.5635

7.5

6.25

6

5.1356

10.7915

10.5

9

7

5.7635

14.5725

14

12.25

8

6.3802

18.9021

18

16

9

6.9879

23.7770

22.5

20.25

10

7.58834

29.1943

27.5

25

15

10.5128

64.3398

60

56.25

20

13.3543

112.7790

105

100

30

18.9

249.07

232.5

225

40

24.338

437.446

410

400

50

29.7105

677.571

637.5

625

100

56.0729

2648.056

2525

2500

150

82.037

5893.356

2662.5

2625

200

107.808

10407.52

10050

10000

300

159.033

23230.498

22575

22500

400

210.0113

41101.582

40100

40000