(i) Since n = 3, the element belongs to the 3rd period. It is a p–block element since the last electron occupies the p–orbital.
There are four electrons in the p–orbital. Thus, the corresponding group of the element
= Number of s–block groups(3s2) + number of d–block groups([Ne]10 + number of p–electrons(3p4)
= 2 + 10 + 4
= 16
Therefore, the element belongs to the 3rd period and 16th group of the periodic table. Hence, the element is Sulphur([Ne]103s23p4)
(ii) Since n = 4, the element belongs to the 4th period. It is a d–block element as d–orbitals are incompletely filled.
There are 2 electrons in the d–orbital.
Thus, the corresponding group of the element
= Number of s–block groups(4s2) + number of d–block groups(3d2)
= 2 + 2
= 4
Therefore, it is a 4th period and 4th group element. Hence, the element is Titanium([Ar]183d24s2.
(3)(n−1)d1ns2
For n = 6
= (6−1)d16s2
= 5d16s2
Now if we write it in the order of filling the sub shells, we know that first 6s fill then 6d fill so
6s25d1
Now
period = Highest principal quantum number = 6th period
Group = 1 + 2 = 3 group
And the atomic number is 57