For each of the following,give the level designation,the allowable m values and the number of orbitals.(i)n=4,l=2,(ii)n=5,l=3(iii)n=7,l=0

For each of the following,give the level designation,the allowable m v

1.	For each of the following,give the level designation,the allowable m values and the number of orbitals.(i)n=4,l=2,(ii)n=5,l=3(iii)n=7,l=0
Answer» Solution :(i)n=4,L=2 If l =2,.m. VALUE are-2,-1,0,+1,+2 so,5 orbitals such as `d_(xy),d_(yz),d_(XZ),d_(X^(2)-y^(2))` and `d_(Z)^(2)` (ii)n=5,l=3 if l=3,.m. values are--3,-2,-1,0,+1,+2,+3, so,7 orbitals such as `f_(z)^(3),f_(xz)^(2),f_(yz)^(2),f_(xyz),f_(z(x^(2)-y^(2)),f_(x(x^2-3y^(2))),f_(y(3x^2-3z^(2)))` (iii)n=7,l=0 if l=0,.m. values are 0.only one value. So,1 ORBITAL such as 7s orbital.