Quantum Numbers


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Schrodinger wave equation, when solved for hydrogen atom gives mathematical Y functions, which describe the allowed energy states in an atom. It is observed that physical meaningful solutions required three constants n, l and m, which are called quantum numbers. Each electron in an atom is characterized by a set of definite values of these numbers. In addition to these three numbers, another quantum number is also needed which specifies the spin of the electron. These four numbers, which are required to specify the position and energy of the electron in an atom, are called quantum numbers. These are Principal quantum number (n), angular quantum number (l), magnetic quantum number (m) and spin quantum number (s). These quantum numbers combined together give a complete address of the electron in an atom.