Question

The probability density P(r) (called radial distribution function) has the meaning that when multiplied by dr it gives the probability of finding the electron anywhere in the shell of thickness dr at the random radius r. For the 1s orbital in hydrogenlke atoms,P(r) = (4Z^3/a^3)(r^2)(e^-2Zr/a)For the following hydrogenlike atoms: H, He+, Li2+, Be3+, B4+, C5+, N6+, O7+, F8+, and Ne9+, calculate the most probable radius, r, at which an electron will be found when it occupies a 1s orbital. Hint: you need to mathematically find the extremum (maximum, in this case) of the probability density function.