RESULTS RECORDED...........

Comparison between known values and values generated from the bisection method

 

Hydrogen

l

n

computed eigenvalue

theoretical eigenvalue

0

1

2

3

4

  -13.60423428

 -3.40155029

   -1.51174164

 -0.41666412

 -13.60

 -  3.40

 -1.51

 -0.85

 

1

2

3

4

  -3.40155029

   -1.51174164

 -0.41666412

-3.40

-1.51

-0.85

 

2

3

4

   -1.51174164

 -0.41666412

-1.51

-0.85

 

 

Lithium

l

computed eigenvalue

*experimental eigenvalue

0

-2.02007294

-5.38482666

 

-5.39

-2.02

1

-3.40149689

-1.51177979

-3.65

-1.55

2

-1.51178741

-1.51

 

Natrium

l

computed eigenvalues

*experimental eigenvalue

0

-5.10626221

-1.94891357

-0.84168701

-5.15

-1.95

-1.02

 

1

-5.10626984

-1.79166412

-1.03856201

-3.03

-1.39

-0.80

 

 


 

Kalium

l

computed eigenvalues

*experimental eigenvalue

0

-5.10626221

-1.94891357

-0.84168701

 

-4.34

-1.76

-0.94   

1

-4.26531982

-1.29166412

-0.79168701

 

-2.72

-1.28

-0.74

2

-0.92523193

-1.73638916

 

-1.67

-0.94

 

Rubidium

l

computed eigenvalue

*experimental eigenvalue

0

-3.84234619

-1.54168701

 

-4.18

-1.68

1

-2.66668701

 

-2.60

2

-1.54166412

 

-1.78

 

Cesium

l

computed eigenvalue

*experimental eigenvalue

0

-3.00494385

-1.38555908

-3.81

-1.63   

1

-2.66668701

-2.49

2

-1.38562775

-2.10