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3.14 Schrodinger Wave Equation

The behaviour of an electron inside an atom can be expressed through Schrodinger Wave Equation.



y ® wave function

m ® mass of electron

h ® Planck's constant

E ® total energy of electron.

V ® potential energy of electron.



is Laplacian Operator







is Hamiltonian Operator. It means whenever Hamiltonian operator is applied on the wave function y, we get total energy associated with the wave function, y

(1) Nodes: Probability of finding electron is zero.

Number of radial / spherical nodes = n – l – 1.

More is the number of nodes more is the energy of orbital.

(2) Nodal point: The point at which radial probability becomes zero is known as Nodal Point = n – l

(3) Nodal plane: Number of nodal plane for a subshell = l

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