Calculate the energy associated with the first orbit of He⊕. What is the radius of orbit?
Sol. En = −(2.18 × 10−18J)Z2n2atom−1
For He⊕, n = 1, Z = 2
E1 = −(2.18 × 10−18 J)(22)12
= −8.72 × 10−18 J
The radius of the orbit is given:
rn = (0.0529 nm)n2Z
Since n = 1, and Z = 2
rn = (0.0529) × 122
= 0.02645 nm