Question

Explain the significance of azimuthal quantum numbers. Indicate the possible values of l and m1 for n=3.

Answer 1

AZIMUTHAL QUANTUM NUMBER DESCRIBES THE SHAPE OF THE ORBITAL THAT AN ELECTRON OCCUPIES
FOR N=3
L=0,1,2
AND 
M1=-1,0,1

Answer 2

Answer: l= 0,1 and 2. $m_l$= -2, -1 , 0 , +1 and +2.

Explanation: Azimuthal Quantum Number: This quantum number describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

For principal quantum number , n=3 , the possible values of l are = 0, 1 and 2.

Magnetic Quantum Number, $m_l$ describes the orientation of the orbitals. The value of this quantum number ranges from $(-l\text{ to }+l)$. When l = 0, the value of $m_l$ will be 0, when l=1 ,the value of $m_l$ will be -1, 0 and +1 and when l = 2, the value of $m_l$ will be -2, -1 , 0 , +1 and +2.