What is the relations between radius, of order orbit and nuclear charge for hydrogen like species?
What is the relations between radius, of order orbit and nuclear charge for hydrogen like species?
$r_n=\frac{a_0 n^2}{z} p m$
$r_n=\frac{a_0 n^2}{z^2} p m$
$r_n=\frac{a_0 n}{n^2} p m$
$r_n=\frac{a_0 z}{n^2} p m$
Solution
Radius of nth orbit of an atom is
$\mathrm{R}_{\mathrm{n}}=0.529 \frac{\mathrm{n}^2}{\mathrm{z}} Å$
$r_1$ of Hydrogen atom $=0.529 Å=a_0$
$\therefore \mathrm{r}_{\mathrm{n}}=\mathrm{a}_0 \frac{\mathrm{n}^2}{\mathrm{z}}$