Question

the total number of value of m for the electrons in n=4​

Answer 1

the answer is 16

for n=4

l varies from 0 to n-1

that is from 0 to 3

so for l=0 m=1

for l=1 m=-1,0,1→3

for l=2 m=-2,-1,0,1,2→5

for l=3 m=-3,-2,-1,0,1,2,3→7

total number of value of m will be 1+3+5+7=16

hope it helps you

Answer 2

The total number of value of m for the electrons in n= 4 is 16

Explanation:

Principle Quantum Numbers : It describes the size of the orbital and the energy level. It is represented by n. Where, n = 1,2,3,4....

Azimuthal Quantum Number : It 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...

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

Thus for n= 4, the possible values of l are 0, 1, 2 and 3. Thus possible values of m for l= 0 is 0, for l=1 is +1, 0 and -1, for l=2 is +2, -2, 0, -1 and +1 ad for l=3 is +3, +2, +1, 0, -1, -2 and -3. The total number of value of m is 16.

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