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  • The quantum numbers of six electrons are given below. Arrange them in order of increasing energies. If any of these combination(s) has/have the same energy lists:

2.62    The quantum numbers of six electrons are given below. Arrange them in order of increasing energies. If any of these combination(s) has/have the same energy lists:

            \\1.\quad n = 4, \ l =2,\ m_l = -2,\ m_s = -1/2 \\2.\quad n = 3, \ l =2,\ m_l = 1,\ m_s = +1/2 \\3.\quad n = 4, \ l =1,\ m_l = 0,\ m_s = +1/2 \\4.\quad n = 3, \ l =2,\ m_l = -2,\ m_s = -1/2 \\5.\quad n = 3, \ l =1,\ m_l = -1,\ m_s = +1/2 \\6.\quad n = 4, \ l =1,\ m_l = 0,\ m_s = +1/2

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Quantum number provides the entire information about an electron of a particular atom.

Principal quantum number 'n' 

Azimuthal quantum number 'l'

Magnetic quantum number 'm_{l}'

Spin quantum number 'm_{s}'.

The orbitals occupied by the electrons are:

1. 4d-orbital 

2. 3d-orbital

3. 4p-orbital

4. 3d-orbital

5. 3p-orbital

6. 4p-orbital

For the same orbitals, electrons will have the same energy and higher the value of (n+l) value higher is the energy.

Therefore, the increasing order of energies:

5.{\color{DarkGreen} (3p)}< 2.{\color{DarkGreen} (3d)} = 4.{\color{DarkGreen} (3d)}<3.{\color{DarkGreen} (4p)}=6. {\color{DarkGreen} (4p)}<1.{\color{DarkGreen} (4d)}

Posted by

Divya Prakash Singh

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