Question

The molecule in which hybrid AO’s involve only one d-orbital of the central atom is
A) \[{[C{F_6}]^{3 - }}\]
B) \[Xe{F_4}\]
C) \[Br{F_5}\]
D) \[{[Ni{(CN)_4}]^{2 - }}\]

Answer 1

Hint: Atomic orbitals are defined as the mathematical function which helps to determine the wave nature of an electron along with its position around the nuclei. This helps to determine the location where the probability to find the electron is very high.

Complete Step by Step Solution:
The atomic orbitals act as a building block that helps us to study the behaviour of electrons in a matter on a sub-microscopic level. The behaviour of atomic orbitals is dependent on quantum numbers which are as follows:
1) The principal quantum number which is denoted by the symbol \[\eta \] .
2) The azimuthal quantum number which is also known as the orbital angular momentum quantum number and is denoted by the symbol \['I'\]
3) The magnetic quantum number which is denoted by the symbol \['{m_I}'\] .

The atomic orbitals are expressed in the combination of quantum number and azimuthal number. An atomic orbital is known to hold a maximum number of two electrons. In the question mentioned above, \[{[C{F_6}]^{3 - }}\] have the electronic configuration of \[{d^2}s{p^3}\], \[Xe{F_4}\] has the electronic configuration of \[s{p^3}{d^2}\], \[Br{F_5}\] has the electronic configuration of \[s{p^3}{d^2}\] and \[{[Ni{(CN)_4}]^{2 - }}\] has the electronic configuration of \[ds{p^2}\].
Hence, option D is the correct answer

Note: The simple names of atomic orbitals and their corresponding azimuthal number that are of importance are:
1) For s orbital , \['I'\] is equal to 0.
2) For p orbital , \['I'\] is equal to 1.
3) For d orbital , \['I'\] is equal to 2.
4) For f orbital , \['I'\] is equal to 3.
5) For g and h orbitals the value of \['I'\] is equal to 4 and 5 respectively.