The radius of nth possible orbit thus found is
2
2
0
42
2
n
n
h
r
m
e
ε
 
 
π
 
 
=
 
 
 
  
π 
 
 
(12 7)
The total energy of the electron in the stationary states of the hydrogen
atom can be obtained by substituting the value of orbital radius in
Eq (12 4) as
2
2
2
2
0
0
2
8
4
n
e
m
e
E
h
n
ε
ε
 
 
 
 
π
 
  
 
= −
 
  
 
 
 
 
 
 
  
 
π
π
 
 
 
 
or 
4
2
2
2
0
8
n
me
E
n
εh
= −
(12