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Radial probability distribution (rpd)

by brainyman89
Tags: distribution, probability, radial
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brainyman89
#1
Mar15-12, 04:27 AM
P: 97
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?
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mathman
#2
Mar15-12, 03:26 PM
Sci Advisor
P: 6,068
The density function is the derivative of the distribution - that's where the dr went.
brainyman89
#3
Mar17-12, 01:09 PM
P: 97
Quote Quote by mathman View Post
The density function is the derivative of the distribution - that's where the dr went.
derivative with respect to what????

mathman
#4
Mar17-12, 04:04 PM
Sci Advisor
P: 6,068
Radial probability distribution (rpd)

Quote Quote by brainyman89 View Post
derivative with respect to what????
The cumulative distribution is F(r) and the density function R(r) = dF(r)/dr


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