Answer :
Microscopic objects, such as electrons, have both wave-like and particle-like behaviour, so they cannot be described in terms of classical mechanics. To do so, a new branch of science called quantum mechanics was developed.
Quantum mechanics was developed independently by Werner Heisenberg and Erwin Schrodinger in 1926.
· Quantum mechanics takes into account the dual nature (particle and wave) of matter.
· On the basis of quantum mechanics, a new model known as quantum mechanical model was developed.
· In the quantum mechanical model, the behaviour of microscopic particles (electrons) in a system (atom) is described by an equation known as Schrodinger equation.
Important Features of the Quantum Mechanical Model of an Atom
· The energy of electrons in an atom is quantised (i.e., electrons can only have certain specific values of energy).
· The existence of quantised electronic energy states is a direct result of the wave-like property of electrons.
· The exact position and the exact velocity of an electron in an atom cannot be determined simultaneously (Heisenberg uncertainty principle).
· An atomic orbital is represented by the wave function ψ, for an electron in an atom, and is associated with a certain amount of energy.
· There can be many orbitals in an atom, but an orbital cannot contain more than two electrons.
· The orbital wave function ψ gives all the information about an electron.
· |ψ|2 is known as probability density, and from its value at different points within an atom, the probable region for finding an electron around the nucleus can be predicted.
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