Question

write the azimuthal quantum number OR magnetic quantum numbers n=5​

Answer 1

Answer:

azimuthal quantum number = l = n-1 = 5-1 = 4 answer. .

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Answer 2

Here ,

n = 5

i.e n is Principal Quantum Number.

Azimuthal Quantum Number (l) = (n-1)

$\large\implies{\sf l =5-1}$

$\large\implies{\sf l=4}$

Magnetic Quantum Number (m)=-l to +l

$\large\implies{\sf m=-5,-4,-3,-2,-1,0,+1,+2,+3,+4,+5 }$

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$\huge\textsf{Principle\: Quantum \: Number}$

$\huge{→}$ Represents by "n" (Given by Bohr)

$\huge{→}$It represents the name , size and energy of the shell to which electron belongs

$\huge\textsf{Azimuthal\: Quantum\:Number}$

$\huge{→}$ Represented by "l" (Given by Sommerfeld)

$\huge{→}$ It represents the shape of the shell and orbital and orbital angular momentum.

$\huge{→}$ Value of l between 0 to (n-1)

Here n is Principal Quantum Number .

i.e

• l = 0, 1, 2 ........(n-1)

• l = 0 ( s Subshell)

• l = 1 ( p Subshell)

• l = 2 ( d Subshell)

• l = 3 (f Subshell)

Example :-

If ,

• n = 1 then l = 0 i.e 1s

• n = 2 then l = 0,1 i.e 2s , 2p

• n = 3 then l= 0,1,2 i.e 3s, 3p, 3d

$\huge\textsf{Magnetic\: Quantum \: Number}$

It represents the shape of different orbital and the orientation of electron cloud ( orbital ) (Given by lind)

• Under the influence of Magnetic field each Subshell is further subdivided into orbital

Magnetic Quantum Number describes these different distribution of Electron cloud .

• Value of m = all integral value from -l to +l including zero.

i.e Value of m = - l to + l