Radial probability distribution (rpd)

brainyman89

Radial Probability Density = R(r) : Square of the Radial Wavefunction
The required volume is determined by the volume of the SPHERICAL SHELL enclosed between a sphere of radius (r+dr) and a sphere of radius r

rpd = radial probability density × volume of the spherical shell = R2 × 4πr2 dr


how then did they cancel the dr and directly write:
rpd = R2 × 4πr2

??

also how could only radial probability be multiplied by volume? shouldn't the whole wave function be multiplied by the volume?

mathman

The density function is the derivative of the distribution - that's where the dr went.

brainyman89

derivative with respect to what????

mathman

The cumulative distribution is F(r) and the density function R(r) = dF(r)/dr