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Using the concept of quantum numbers, calculate the maximum numbers of electrons present in the ‘M’ shell. Give their distribution in shells, subshells, and orbitals.

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Question

Using the concept of quantum numbers, calculate the maximum numbers of electrons present in the ‘M’ shell. Give their distribution in shells, subshells, and orbitals.

Answer in Brief
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Solution

  1. Each main shell contains a maximum of 2n2 electrons.
    For ‘M’ shell, n = 3.
    Therefore, the maximum numbers of electrons present in the ‘M’ shell = 2 × (3)2 = 18.
  2. The distribution of these electrons in shells, subshells, and orbitals can be given as follows:
    Value of n Values of l Values of ml Values of ms
    3 0 0 `±1/2`
    1 −1 `±1/2`
    0 `±1/2`
    +1 `±1/2`
    2 −2 `±1/2`
    −1 `±1/2`
    0 `±1/2`
    +1 `±1/2`
    +2 `±1/2`
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Chapter 4: Structure of Atom - Exercises [Page 54]

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Balbharati Chemistry [English] Standard 11 Maharashtra State Board
Chapter 4 Structure of Atom
Exercises | Q 6. (R) | Page 54

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