  This paper introduces the notions of atoms and atomicity in $C$-algebras and
obtains a characterisation of atoms in the $C$-algebra of transformations.
Further, this work presents some necessary conditions and sufficient conditions
for the atomicity of $C$-algebras and shows that the class of finite atomic
$C$-algebras is precisely that of finite adas. This paper also uses the
if-then-else action to study the structure of $C$-algebras and classify the
elements of the $C$-algebra of transformations.
