Question

Explain about Quantum numbers in detail.

Answer 1

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The principal quantum number (n) describes the electron shell, or energy level, of an electron.
The value of n ranges from 1 to the shell containing the outermost electron of that atom.

The three quantum numbers (n, l, and m) that describe an orbital are integers: 0, 1, 2, 3, and so on. 
The angular quantum number (l) can be any integer between 0 and n - 1.

The principal quantum number (n) cannot be zero. The allowed values of n are therefore 1, 2, 3, 4, and so on.

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Answer 2

Solution:

Quantum Number is set of 4 numbers. which give the maximum probability of a electron to be there.

➡The first quantum number is Principal quantum number and denoted by "n". It give the energy label of orbital.
I.e, k < l < m < n < ...

Its, value is Natural number I.e , 1,2,3,4....

The value of n can't be 0 or negative.

➡ The second quantum number "Azimuthal quantum number"
It is denoted by "l" .
It's describe about angular momentum or simply we can say shape of orbital.

we can identify it by using l = n-1

s = spherical = 0
p = Dum_bell= 1
d = Double- Dum_bell= 2
f = 8- folded structure = 3

➡ Third one is "Magnetic quantum number"
It give about the no. of orbital in subshell.
It is denoted by "m"

It's value is from - l to + l

➡ And, last one is "spin qunatum Number"
it only give about the orientation of electron inside orbital.

It is denoted by "s".
It's value is either +1/2 or -1/2 .

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Note, According to Pauli principle,

No two or more electron have same four set of quantum number.

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