STEPHEN 4.25

1. 1
What is the binding
energy of the
electron in the
ground state of (a)
deuterium, (b) He+
,
and (c) Be+++
?
Solution
The nucleus of a deuterium atom, called a deuteron,
contains one proton and one neutron.

2. 2

3. 3

4. 4
2
0
2
0
2
2
2
1
2
Using
, 1, 2,3,...
where 13.6
13.6
Now,
Ground state refers to 1
13.6
,
13.6 (1)
n
n
Z E
E n
n
E eV
Z X eV
E
n
n
E Z X eV
Generally
E Z X eV
  

  

  
   

5. 5
0
0
0
,
For Deuterium, Z=1
13.6
For Helium, Z=2
4
4 13.6
54.4
For Beryllium, Z=4
16
16 13.6
217.6
Now
E E eV
E E
X eV
eV
E E
X eV
eV
  
 


 

