(i) Coordination entity: A coordination entity is an electrically charged radical or species carrying a positive or negative charge. In a coordination entity, the central atom or ion is surrounded by a suitable number of neutral molecules or negative ions (called ligands). For example:
\([Ni(NH_3)_6]^{2+},[Fe(CN)_6]^{4+}\) = cationic complex
\([PtCl_4]^{2-},[Ag(CN)_2]^{-}\)= anionic complex
\([Ni(CO)_4],[Co(NH_3)_4Cl_2\)] = neutral complex
(ii) Ligands The neutral molecules or negatively charged ions that surround the metal atom in a coordination entity or a coordinal complex are known as ligands. For example,\(\ddot{N}H_3,H_2\ddot{O}\), \(Cl^{-} ,^{-}OH\) . Ligands are usually polar in nature and possess at least one unshared pair of valence electrons.
(iii) Coordination number:
The total number of ligands (either neutral molecules or negative ions) that get attached to the central metal atom in the coordination sphere is called the coordination number of the central metal atom. It is also referred to as its ligancy.
For example:
(a) In the complex,\(K_2[PtCl_6]\), there as six chloride ions attached to\(Pt\) in the coordinate sphere. Therefore, the coordination number of \(Pt\) is 6.
(b) Similarly, in the complex \([Ni(NH_3)_4]Cl_2\), the coordination number of the central atom \((Ni)\) is 4.
(iv) Coordination polyhedron:
Coordination polyhedrons about the central atom can be defined as the spatial arrangement of the ligands that are directly attached to the central metal ion in the coordination sphere. For example:
(a)
(b) Tetrahedral
(v) Homoleptic complexes:
These are those complexes in which the metal ion is 3bound to only one kind of a donor group. For eg:\([Co(NH_3)_6]^{3+},[ptCl_4]^{2-}\)etc.
(v) Homoleptic complexes: These are those complexes in which the metal ion is bound to only one kind of a donor group. For eg:\([Co(NH_3)_4Cl_2]^{+},[Co(NH_3)_5Cl]^{2+}\)
(i) Draw the diagram which indicates the splitting of d-orbitals in tetrahedral field.
(ii) Write any one limitation of valence bond theory.
(i)[Ni(CN)₄]²⁻ and [Ni(CO)(_4)] have different structures, but do not differ in their magnetic behaviour. Explain.
(ii) Write the formula of Tetraamineaquachloridocobalt(III)chloride.
(i) Write two postulates of Werner's coordination theory.
(ii) Draw the geometrical isomers of [(NH_3)_3(NO_2)_3] and give their structures.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).
Nomenclature of Coordination Compounds is important in Coordination Chemistry because of the need to have an unambiguous method of describing formulas and writing systematic names, particularly when dealing with isomers.