Schrodinger Wave Equation:
In 1926, Erwin Schrodinger, a Austrian Physicist, developed an equation, which is given below and is called Schrodinger equation.
Where E = total energy of electrons
V = potential energy
ψ = a wave function (amplitude of wave)
ψ2 = probability of finding electron
According to Schrodinger electron shows a wave like motion and they form standing wave in three dimensional spaces around the nucleus.
Thus atomic orbital can be defined as, “A definite region in the three dimensional space around the nucleus, where there is high probability of finding an electron of specific energy E is called atomic orbital.”