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 drhow 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]

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

derivative with respect to what?

 

[mathman]

derivative with respect to what?

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