The correct option is A B
All the above elements in the given option belong to the same group that is group number 13 of the periodic table and is known as boron family. Since fluorine has an oxidation state as −1 , so the oxidation state of the metal atom should be +3 in order to form the above complex.
B is a chemical symbol for boron. The atomic number of boron is 5 and it belongs to the second period. In the second period only s and p orbital are available. S orbital can have a maximum of two electrons and p orbital can have a maximum of 6 electrons. The electronic configuration of boron is:
1s22s22p1
The electronic configuration of B+3
is 1s22s02p0. So the boron can only take up 4 pairs of electrons and can form a complex BF−4 and not BF3−6
All the other elements of this group such as aluminium, Gallium and Indium belong to period number 3, 4 and 5 respectively and have d orbital to accept more electrons unlike boron. So boron is the only element that does not have the capability to form the complex.
Hence the correct option is A.