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Quantum Mechanical Model of Atom

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Estimated time: 4 minutes
CBSE: Class 12
Maharashtra State Board: Class 12

Key Points: Quantum Mechanical Model of Atom

Schrödinger Wave Equation:

Schrödinger developed the fundamental equation of quantum mechanics which incorporates the wave-particle duality of matter:

HΨ = EΨ

where H = Hamiltonian operator, Ψ (psi) = wave function, E = total energy of the system.

  • Wave function (ψ): The solution of this equation has no physical significance by itself.
  • ψ²: Probability density — gives the probability of finding an electron at a point within the atom.
  • The region where the probability of finding an electron is maximum = atomic orbital.

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