If Azimuthal quantum number ′l′ and ′k′ of elliptical orbit are related as l=k, what would be the maximum number of electrons in K,L,M and N shells?
′k ′ of elliptical orbit corresponds to
the length of the minor axis. Azimuthal quantum number ′l′ is equal to
′k ′. ′k ′ cannot be equal to zero since the length of the minor axis
would become zero in that case and the electron passes through the nucleus.
Therefore ′l′ also cannot be zero, In that case, l=1,2,3,4 should
correspond to s,p,d and f subshells. The number of orbitals in a
subshell is given by 2l+1 which correspond to 3,5,7 and 9 orbitals are s,p,d,f subshells. Since each orbital
contains 2 electrons, the subshells should possess 6,10,14 and 18
electrons respectively. K shell contains only 's ' subshell with 6
electrons. Similarly, L shell contains 16 electrons in s &
p subshells, 'M ' shell contains 30 electrons in s,p & d subshells, 'N ' shell contains 48 electrons in s,p,d & f subshells.
′k ′ of elliptical orbit corresponds to the length of the minor axis. Azimuthal quantum number ′l′ is equal to ′k ′. ′k ′ cannot be equal to zero since the length of the minor axis would become zero in that case and the electron passes through the nucleus. Therefore ′l′ also cannot be zero, In that case, l=1,2,3,4 should correspond to s,p,d and f subshells. The number of orbitals in a subshell is given by 2l+1 which correspond to 3,5,7 and 9 orbitals are s,p,d,f subshells. Since each orbital contains 2 electrons, the subshells should possess 6,10,14 and 18 electrons respectively. K shell contains only 's ' subshell with 6 electrons. Similarly, L shell contains 16 electrons in s & p subshells, 'M ' shell contains 30 electrons in s,p & d subshells, 'N ' shell contains 48 electrons in s,p,d & f subshells.
