It is the branch of chemistry which deals with dual behaviour of matter. It IS given by Werner Heisenberg and Erwin Schrodinger
Schrodinger wave equation is
where. x, y, z = cartesian coordinates
m = mass of electron, E = total energy of electron
U =potential energy of electron, h =Planck’s constant
Ψ (Psi) = wave function which gives the amplitude of wave
Ψ2 = probability function
For H-atom. the equation is solved as
HΨ = EΨ
where, H is the total energy operator, called Hamiltonian. If the sum of kinetic energy operator (T) and potential energy operator (U) is the total energy. E of the system,
H = T + U
(T + U)Ψ = EΨ
[The atomic orbitals can be represented by the product of two wave functions (i) radial wave function (ii) angular wave function.
The orbital wave function, Ψ has no significance, but Ψ2 has significance, it measures the electron probability density at a point In an atom. Ψ can he positive or negative but ‘I’:? is always positive.
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