Radial probability distribution curves-Quantum mechanics CSIR NET-GATE Chemistry-IIT JEE-JAM-NEET

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#Radial_distribution_function_chemistry
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Radial probability:
It is the probability of finding the electron within the spherical shell enclosed between a sphere of radius 'r + dr' and a sphere of radius "r' from the nucleus.

The radial distribution curve gives an idea about the electron density at a radial distance from the nucleus. The value of 4πr2ψ2 (radial probability density function) becomes zero at a nodal point, also known as a radial node.

The number of radial nodes for an orbital = n-l-1.

Where n = principal quantum number and l= azimuthal quantum number.

The relation between radial probability and radial probability density is given as:

Radial Probability = Radial Probability Density x Volume of spherical shell = 4πr2drR2nl(r)

The amplitude or intensity of the three-dimensional electron wave is known as Wavefunction and is represented by ψnlm (r,θ, Φ). It has both radial and angular parts.

ψnlm (r,θ, Φ) = Radial part x Angular part = Rnl(r) x Φlm(θ, Φ)

where,
Rnl(r) = Radial wavefunction
Φlm(θ, Φ) = Angular wavefunction

Is it possible to get the shapes of orbitals with the help of RADIAL PROBABILITY DISTRIBUTION curves?

Radial probability distribution curves for atomic orbitals like 1s, 2s, 2p, 3s, 3p, 3d, 4s, 4p, 4d, 4f
Radial probability distribution curve for 1s orbital