
The type of hybridisation and number of lone pair(s) of electrons of Xe in \[XeO{F_{4}}\;\] respectively, are:
A.\[s{p^3}d\,\]and 1
B.\[s{p^3}d\,\]and 2
C.\[s{p^3}{d^2}\,\]and 1
D.\[s{p^3}{d^2}\,\]and 2
Answer
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Hint: To answer this question, you should recall that Xenon is a noble gas and when bonding it will have the tendency to use all the eight electrons in the outermost shell to form bond pairs. We know fluorine is a halogen and can form one sigma bond with the central atom and oxygen can form a double bond with the central atom. Now, use this information to answer the question.
Complete step by step answer:
Hybridization is defined as the concept of mixing two atomic orbitals with the same energy levels to give a degenerated new type of orbitals. This intermixing is based on quantum mechanics. \[XeO{F_{4}}\;\]has square pyramidal geometry. The central \[{\text{Xe}}\]atom has one lone pair electrons and five bonding domains where it donates its outermost eight electrons to four sigma bonded fluorine and one double-bonded oxygen. This results in \[s{p^3}{d^2}\] hybridisation. The geometry or shape is octahedral and the arrangement of electrons around the central atom in the molecule is square pyramidal. The structure can be drawn as:
Hence, the correct answer to this question is option C.
Note:
Even if you are not able to calculate the hybridisation using the above-mentioned you can find the hybridization $(X)$ using the formula: \[\frac{1}{2}(V + H - C + A)\] where
$V$= Number of valence electrons in the central atom
$H$= Number of surrounding monovalent atoms
$C$= Cationic charge
$A$= Anionic charge. The value of X will determine the hybridisation of the molecule. If $X$is 2 then $sp$; is 3 then $s{p^2}$ ; is 4 then $s{p^3}$; is 5 then $s{p^3}d$ ; is 6 then $s{p^3}{d^2}$ ; is 7 then $s{p^3}{d^3}$ hybridization.
Complete step by step answer:
Hybridization is defined as the concept of mixing two atomic orbitals with the same energy levels to give a degenerated new type of orbitals. This intermixing is based on quantum mechanics. \[XeO{F_{4}}\;\]has square pyramidal geometry. The central \[{\text{Xe}}\]atom has one lone pair electrons and five bonding domains where it donates its outermost eight electrons to four sigma bonded fluorine and one double-bonded oxygen. This results in \[s{p^3}{d^2}\] hybridisation. The geometry or shape is octahedral and the arrangement of electrons around the central atom in the molecule is square pyramidal. The structure can be drawn as:

Hence, the correct answer to this question is option C.
Note:
Even if you are not able to calculate the hybridisation using the above-mentioned you can find the hybridization $(X)$ using the formula: \[\frac{1}{2}(V + H - C + A)\] where
$V$= Number of valence electrons in the central atom
$H$= Number of surrounding monovalent atoms
$C$= Cationic charge
$A$= Anionic charge. The value of X will determine the hybridisation of the molecule. If $X$is 2 then $sp$; is 3 then $s{p^2}$ ; is 4 then $s{p^3}$; is 5 then $s{p^3}d$ ; is 6 then $s{p^3}{d^2}$ ; is 7 then $s{p^3}{d^3}$ hybridization.
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