The electronic configuration of gadolinium (atomic number of 64) is:

1. [Xe]4f35d56s2

2. [Xe]4f75d26s1

3. [Xe]4f75d16s2

4. [Xe]4f85d66s2

HINT: Gadolium is a f block element .

Explanation:

The electronic configuration of La (Z=57) is [Xe]5d16s2. Therefore, further addition of electrons occurs in the lower energy 4f-orbital till it is exactly half-filled at Eu (Z=64). Thus, the electronic configuration of Eu is [Xe]4f76s2.

Thereafter, addition of next electron does not occur in the more stable exactly half-filled 4f7 shell but occurs in the little higher energy 5d-orbital. Thus, the electronic configuration of Gd (Z=64) is [Xe]4f75d16s2.