what are the total number of subshells and orbitals in an atom whose principle quantum number n=4?
Answers
Answer:
For n
th
orbital possible values of azimuthal quantum number (subshell), l are from 0 to (n-1). Total of 'n' values.
In n=4, l=0,1,2,3 thus there are 4 subshells i.e.s,p,d,f respectively.
Magnetic quantum number m
l
have values from -l to +l and total of 2l+1 values.
For n=4, possible values of l and m
l
are:
m
l
= =−1,0,1 for l=1; total m
l
values =3
m
l
=−2,−1,0,1,2 for l=2; total m
l
values =5
m
l
=−3,−2,−1,0,1,2,3 for l=3; total m
l
values =7
Total number of orbitals = total values of m
l
for n=4,
∴1+3+5+7=16 orbitals
Each orbital can occupy maximum of two electron
Number of electrons =2×16=32
Therefore in n=4, number of subshells=4, orbitals=16 and number of electrons =32.
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