Chemistry - Atomic Structure Question with Solution | TestHub

Far from the nucleus, all radial wavefunctions approach zero exponentially.

The radial distribution function $[\mathbf{P}(\mathbf{r})]$ multiplied by dr gives the probability of finding the electron anywhere between the two walls of a spherical shell of thickness $\mathbf{dr}$ at the radius, $\mathbf{r}$.

If the wavefunction of a particle has the value $\psi$ at some point $\mathbf{r}$, then the probability of finding the particle in an infinitesimal volume $\mathbf{d}\tau =\mathbf{dx}.\mathbf{dy}.\mathbf{dz}$ at that point is proportional to |ψ²|2dτ .

For s-orbitals, angular function is zero.