Answer on Question # 44187, Physics, Nuclear Physics
Task:
a) Calculate the radius of the third orbit of Li2+ ion. Also calculate the energy of the electron in the
second orbit of Li2+ ion.
Solution:
the radius of the third orbit of Li2+ ion:
rn 
n2h2
3 2 (1.054  10 34 ) 2

r

 0.143  10 9  1.43  10 10 m
3
2
 21
19 2
me Ze
9.1  10  3(1.6  10 )
me Z 2 e 4 9.1  10  21  3 2 (1.6  10 19 ) 4
E

 60.39  10 29 J
2 2
2
34 2
2n h
2  2 (1.054  10 )
b) Calculate (i) Rydberg constant for Be3+ ion and (ii) fourth ionization energy of beryllium in J
atom-1 and kJ mol-1 units.
Solution:
R
2 2 me Z 2 e 4 2  3.14  3.14  9.1  10 21  4 2 (1.6  10 19 ) 4

 5.35m 1
3
34 3
8
hc
(1.054  10 )  3  10
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