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In the previous Unit we learnt that the transition metals
form a large number of complex compounds in which
the metal atoms are bound to a number of anions or
neutral molecules. In modern terminology such
compounds are called coordination compounds. The
chemistry of coordination compounds is an important
and challenging area of modern inorganic chemistry.
New concepts of chemical bonding and molecular
structure have provided insights into the functioning of
vital components of biological systems. Chlorophyll,
haemoglobin and vitamin B12 are coordination
compounds of magnesium, iron and cobalt respectively.
Variety of metallurgical processes, industrial catalysts
and analytical reagents involve the use of coordination
compounds. Coordination compounds also find many
applications in electroplating, textile dyeing and
medicinal chemistry.
After studying this Unit, you will be able to
? appreciate the postulates of
Werner?s theory of coordination
compounds;
? know the meaning of the terms:
coordination entity, central atom/
ion, ligand, coordination number,
coordination sphere, coordination
polyhedron, oxidation number,
homoleptic and heteroleptic;
? learn the rules of nomenclature
of coordination compounds;
? write the formulas and names
of mononuclear coordination
compounds;
? define different types of isomerism
in coordination compounds;
? understand the nature of bonding
in coordination compounds in
terms of the Valence Bond and
Crystal Field theories;
? learn the stability of coordination
compounds;
? appreciate the importance and
applications of coordination
compounds in our day to day life.
Objectives
Coordination Compounds are the backbone of modern inorganic and
bio?inorganic chemistry and chemical industry.
Coordination
Compounds
Alfred Werner (1866-1919), a Swiss chemist was the first to formulate
his ideas about the structures of coordination compounds. He prepared
and characterised a large number of coordination compounds and
studied their physical and chemical behaviour by simple experimental
techniques. Werner proposed the concept of a primary valence and a
secondary valence for a metal ion. Binary compounds such as CrCl3,
CoCl2 or PdCl2 have primary valence of 3, 2 and 2 respectively. In a
series of compounds of cobalt(III) chloride with ammonia, it was found
that some of the chloride ions could be precipitated as AgCl on adding
excess silver nitrate solution in cold but some remained in solution.
9.1 Werner?s
Theory of
Coordination
Compounds
Unit
9
Chemistry 238
1 mol CoCl3.6NH3 (Yellow) gave 3 mol AgCl
1 mol CoCl3.5NH3 (Purple) gave 2 mol AgCl
1 mol CoCl3.4NH3 (Green) gave 1 mol AgCl
1 mol CoCl3.4NH3 (Violet) gave 1 mol AgCl
These observations, together with the results of conductivity
measurements in solution can be explained if (i) six groups in all,
either chloride ions or ammonia molecules or both, remain bonded to
the cobalt ion during the reaction and (ii) the compounds are formulated
as shown in Table 9.1, where the atoms within the square brackets
form a single entity which does not dissociate under the reaction
conditions. Werner proposed the term secondary valence for the
number of groups bound directly to the metal ion; in each of these
examples the secondary valences are six.
Note that the last two compounds in Table 9.1 have identical empirical
formula, CoCl3.4NH3, but distinct properties. Such compounds are
termed as isomers. Werner in 1898, propounded his theory of
coordination compounds. The main postulates are:
1. In coordination compounds metals show two types of linkages
(valences)-primary and secondary.
2. The primary valences are normally ionisable and are satisfied by
negative ions.
3. The secondary valences are non ionisable. These are satisfied by
neutral molecules or negative ions. The secondary valence is equal to
the coordination number and is fixed for a metal.
4. The ions/groups bound by the secondary linkages to the metal have
characteristic spatial arrangements corresponding to different
coordination numbers.
In modern formulations, such spatial arrangements are called
coordination polyhedra. The species within the square bracket are
coordination entities or complexes and the ions outside the square
bracket are called counter ions.
He further postulated that octahedral, tetrahedral and square planar
geometrical shapes are more common in coordination compounds of
transition metals. Thus, [Co(NH3)6]3+, [CoCl(NH3)5]2+ and [CoCl2(NH3)4]+
are octahedral entities, while [Ni(CO)4] and [PtCl4]2? are tetrahedral and
square planar, respectively.
Colour Formula Solution conductivity
corresponds to
Table 9.1: Formulation of Cobalt(III) Chloride-Ammonia Complexes
Yellow [Co(NH3)6]3+3Cl? 1:3 electrolyte
Purple [CoCl(NH3)5]2+2Cl? 1:2 electrolyte
Green [CoCl2(NH3)4]+Cl? 1:1 electrolyte
Violet [CoCl2(NH3)4]+Cl? 1:1 electrolyte
239 Coordination Compounds
(i) Secondary 4 (ii) Secondary 6
(iii) Secondary 6 (iv) Secondary 6 (v) Secondary 4
On the basis of the following observations made with aqueous solutions,
assign secondary valences to metals in the following compounds:
Solution
Difference between a double salt and a complex
Both double salts as well as complexes are formed by the combination
of two or more stable compounds in stoichiometric ratio. However, they
differ in the fact that double salts such as carnallite, KCl.MgCl2.6H2O,
Mohr?s salt, FeSO4.(NH4)2SO4.6H2O, potash alum, KAl(SO4)2.12H2O, etc.
dissociate into simple ions completely when dissolved in water. However,
complex ions such as [Fe(CN)6]4? of K4Fe(CN)6, do not dissociate into
Fe2+ and CN? ions.
Werner was born on December 12, 1866, in Mülhouse,
a small community in the French province of Alsace.
His study of chemistry began in Karlsruhe (Germany)
and continued in Zurich (Switzerland), where in his
doctoral thesis in 1890, he explained the difference in
properties of certain nitrogen containing organic
substances on the basis of isomerism. He extended vant
Hoff?s theory of tetrahedral carbon atom and modified
it for nitrogen. Werner showed optical and electrical differences between
complex compounds based on physical measurements. In fact, Werner was
the first to discover optical activity in certain coordination compounds.
He, at the age of 29 years became a full professor at Technische
Hochschule in Zurich in 1895. Alfred Werner was a chemist and educationist.
His accomplishments included the development of the theory of coordination
compounds. This theory, in which Werner proposed revolutionary ideas about
how atoms and molecules are linked together, was formulated in a span of
only three years, from 1890 to 1893. The remainder of his career was spent
gathering the experimental support required to validate his new ideas. Werner
became the first Swiss chemist to win the Nobel Prize in 1913 for his work
on the linkage of atoms and the coordination theory.
(1866-1919)
Formula Moles of AgCl precipitated per mole of
the compounds with excess AgNO3
(i) PdCl2.4NH3 2
(ii) NiCl2.6H2O 2
(iii) PtCl4.2HCl 0
(iv) CoCl3.4NH3 1
(v) PtCl2.2NH3 0
Example 9.1
Chemistry 240
(a) Coordination entity
A coordination entity constitutes a central metal atom or ion bonded
to a fixed number of ions or molecules. For example, [CoCl3(NH3)3]
is a coordination entity in which the cobalt ion is surrounded by
three ammonia molecules and three chloride ions. Other examples
are [Ni(CO)4], [PtCl2(NH3)2], [Fe(CN)6]4?, [Co(NH3)6]3+.
(b) Central atom/ion
In a coordination entity, the atom/ion to which a fixed number
of ions/groups are bound in a definite geometrical arrangement
around it, is called the central atom or ion. For example, the
central atom/ion in the coordination entities: [NiCl2(H2O)4],
[CoCl(NH3)5]2+ and [Fe(CN)6]3? are Ni2+, Co3+ and Fe3+, respectively.
These central atoms/ions are also referred to as Lewis acids.
(c) Ligands
The ions or molecules bound to the central atom/ion in the
coordination entity are called ligands. These may be simple ions
such as Cl?, small molecules such as H2O or NH3, larger molecules
such as H2NCH2CH2NH2 or N(CH2CH2NH2)3 or even macromolecules,
such as proteins.
When a ligand is bound to a metal ion through a single donor
atom, as with Cl?, H2O or NH3, the ligand is said to be unidentate.
When a ligand can bind through two donor atoms as in
H2NCH2CH2NH2 (ethane-1,2-diamine) or C2O4
2? (oxalate), the
ligand is said to be didentate and when several donor atoms are
present in a single ligand as in N(CH2CH2NH2)3, the ligand is said
to be polydentate. Ethylenediaminetetraacetate ion (EDTA4?) is
an important hexadentate ligand. It can bind through two
nitrogen and four oxygen atoms to a central metal ion.
When a di- or polydentate ligand uses its two or more donor
atoms to bind a single metal ion, it is said to be a chelate ligand.
The number of such ligating groups is called the denticity of the
ligand. Such complexes, called chelate complexes tend to be more
stable than similar complexes containing unidentate ligands (for
reasons see Section 9.8). Ligand which can
ligate through two different atoms is called
ambidentate ligand. Examples of such
ligands are the NO2
? and SCN? ions. NO2
? ion
can coordinate either through nitrogen or
through oxygen to a central metal atom/ion.
Similarly, SCN? ion can coordinate through the
sulphur or nitrogen atom.
(d) Coordination number
The coordination number (CN) of a metal ion in a complex can be
defined as the number of ligand donor atoms to which the metal is
directly bonded. For example, in the complex ions, [PtCl6]2? and
[Ni(NH3)4]2+, the coordination number of Pt and Ni are 6 and 4
respectively. Similarly, in the complex ions, [Fe(C2O4)3]3? and
[Co(en)3]3+, the coordination number of both, Fe and Co, is 6 because
C2O4
2? and en (ethane-1,2-diamine) are didentate ligands.
9.2 Definitions of
Some
Important
Terms
Pertaining to
Coordination
Compounds
241 Coordination Compounds
It is important to note here that coordination number of the central
atom/ion is determined only by the number of sigma bonds formed by
the ligand with the central atom/ion. Pi bonds, if formed between the
ligand and the central atom/ion, are not counted for this purpose.
(e) Coordination sphere
The central atom/ion and the ligands attached to it are enclosed in
square bracket and is collectively termed as the coordination
sphere. The ionisable groups are written outside the bracket and
are called counter ions. For example, in the complex K4[Fe(CN)6],
the coordination sphere is [Fe(CN)6]4? and the counter ion is K+.
(f) Coordination polyhedron
The spatial arrangement of the ligand atoms which are directly
attached to the central atom/ion defines a coordination
polyhedron about the central atom. The most common
coordination polyhedra are octahedral, square planar and
tetrahedral. For example, [Co(NH3)6]3+ is octahedral, [Ni(CO)4] is
tetrahedral and [PtCl4]2? is square planar. Fig. 9.1 shows the
shapes of different coordination polyhedra.
9.3 Nomenclature
of
Coordination
Compounds
(g) Oxidation number of central atom
The oxidation number of the central atom in a complex is defined
as the charge it would carry if all the ligands are removed along
with the electron pairs that are shared with the central atom. The
oxidation number is represented by a Roman numeral in parenthesis
following the name of the coordination entity. For example, oxidation
number of copper in [Cu(CN)4]3? is +1 and it is written as Cu(I).
(h) Homoleptic and heteroleptic complexes
Complexes in which a metal is bound to only one kind of donor
groups, e.g., [Co(NH3)6]3+, are known as homoleptic. Complexes in
which a metal is bound to more than one kind of donor groups,
e.g., [Co(NH3)4Cl2]+, are known as heteroleptic.
Nomenclature 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. The
formulas and names adopted for coordination entities are based on the
recommendations of the International Union of Pure and Applied
Chemistry (IUPAC).
Fig. 9.1: Shapes of different coordination polyhedra. M represents
the central atom/ion and L, a unidentate ligand.
Chemistry 242
The formula of a compound is a shorthand tool used to provide basic
information about the constitution of the compound in a concise and
convenient manner. Mononuclear coordination entities contain a single
central metal atom. The following rules are applied while writing the formulas:
(i) The central atom is listed first.
(ii) The ligands are then listed in alphabetical order. The placement of
a ligand in the list does not depend on its charge.
(iii) Polydentate ligands are also listed alphabetically. In case of
abbreviated ligand, the first letter of the abbreviation is used to
determine the position of the ligand in the alphabetical order.
(iv) The formula for the entire coordination entity, whether charged or
not, is enclosed in square brackets. When ligands are polyatomic,
their formulas are enclosed in parentheses. Ligand abbreviations
are also enclosed in parentheses.
(v) There should be no space between the ligands and the metal
within a coordination sphere.
(vi) When the formula of a charged coordination entity is to be written
without that of the counter ion, the charge is indicated outside the
square brackets as a right superscript with the number before the
sign. For example, [Co(CN)6]3?, [Cr(H2O)6]3+, etc.
(vii) The charge of the cation(s) is balanced by the charge of the anion(s).
The names of coordination compounds are derived by following the
principles of additive nomenclature. Thus, the groups that surround the
central atom must be identified in the name. They are listed as prefixes
to the name of the central atom along with any appropriate multipliers.
The following rules are used when naming coordination compounds:
(i) The cation is named first in both positively and negatively charged
coordination entities.
(ii) The ligands are named in an alphabetical order before the name of the
central atom/ion. (This procedure is reversed from writing formula).
(iii) Names of the anionic ligands end in ?o, those of neutral and cationic
ligands are the same except aqua for H2O, ammine for NH3,
carbonyl for CO and nitrosyl for NO. These are placed within
enclosing marks ( ).
(iv) Prefixes mono, di, tri, etc., are used to indicate the number of the
individual ligands in the coordination entity. When the names of
the ligands include a numerical prefix, then the terms, bis, tris,
tetrakis are used, the ligand to which they refer being placed in
parentheses. For example, [NiCl2(PPh3)2] is named as
dichlorobis(triphenylphosphine)nickel(II).
(v) Oxidation state of the metal in cation, anion or neutral coordination
entity is indicated by Roman numeral in parenthesis.
(vi) If the complex ion is a cation, the metal is named same as the
element. For example, Co in a complex cation is called cobalt and
Pt is called platinum. If the complex ion is an anion, the name of
the metal ends with the suffix ? ate. For example, Co in a complex
anion, ( ) 2
4 Co SCN
? ?? ?? is called cobaltate. For some metals, the Latin
names are used in the complex anions, e.g., ferrate for Fe.
9.3.2 Naming of
Mononuclear
Coordination
Compounds
Note: The 2004 IUPAC
draft recommends that
ligands will be sorted
alphabetically,
irrespective of charge.
Note: The 2004 IUPAC
draft recommends that
anionic ligands will end
with?ido so that chloro
would become chlorido,
etc.
9.3.1 Formulas of
Mononuclear
Coordination
Entities
243 Coordination Compounds
(vii) The neutral complex molecule is named similar to that of the
complex cation.
The following examples illustrate the nomenclature for coordination
compounds.
1. [Cr(NH3)3(H2O)3]Cl3 is named as:
triamminetriaquachromium(III) chloride
Explanation: The complex ion is inside the square bracket, which is
a cation. The amine ligands are named before the aqua ligands
according to alphabetical order. Since there are three chloride ions in
the compound, the charge on the complex ion must be +3 (since the
compound is electrically neutral). From the charge on the complex
ion and the charge on the ligands, we can calculate the oxidation
number of the metal. In this example, all the ligands are neutral
molecules. Therefore, the oxidation number of chromium must be
the same as the charge of the complex ion, +3.
2. [Co(H2NCH2CH2NH2)3]2(SO4)3 is named as:
tris(ethane-1,2?diammine)cobalt(III) sulphate
Explanation: The sulphate is the counter anion in this molecule.
Since it takes 3 sulphates to bond with two complex cations, the
charge on each complex cation must be +3. Further, ethane-1,2?
diamine is a neutral molecule, so the oxidation number of cobalt
in the complex ion must be +3. Remember that you never have to
indicate the number of cations and anions in the name of an
ionic compound.
3. [Ag(NH3)2][Ag(CN)2] is named as:
diamminesilver(I) dicyanoargentate(I)
Write the formulas for the following coordination compounds:
(i) Tetraamineaquachloridocobalt(III) chloride
(ii) Potassium tetrahydroxozincate(II)
(iii) Potassium trioxalatoaluminate(III)
(iv) Dichloridobis(ethane-1,2-diamine)cobalt(III)
(v) Tetracarbonylnickel(0)
(i) [Co(NH3)4(H2O)Cl]Cl2 (ii) K2[Zn(OH)4] (iii) K3[Al(C2O4)3]
(iv) [CoCl2(en)2]+ (v) [Ni(CO)4]
Write the IUPAC names of the following coordination compounds:
(i) [Pt(NH3)2Cl(NO2)] (ii) K3[Cr(C2O4)3] (iii) [CoCl2(en)2]Cl
(iv) [Co(NH3)5(CO3)]Cl (v) Hg[Co(SCN)4]
(i) Diamminechloridonitrito-N-platinum(II)
(ii) Potassium trioxalatochromate(III)
(iii) Dichloridobis(ethane-1,2-diamine)cobalt(III) chloride
(iv) Pentaamminecarbonatocobalt(III) chloride
(v) Mercury tetrathiocyanatocobaltate(III)
Example 9.2
Solution
Example 9.3
Solution
Notice how the name of
the metal differs in
cation and anion even
though they contain the
same metal ions.
Chemistry 244
9.4.1 Geometric Isomerism
Intext Questions
9.1 Write the formulas for the following coordination compounds:
(i) Tetraamminediaquacobalt(III) chloride
(ii) Potassium tetracyanonickelate(II)
(iii) Tris(ethane?1,2?diamine) chromium(III) chloride
(iv) Amminebromidochloridonitrito-N-platinate(II)
(v) Dichloridobis(ethane?1,2?diamine)platinum(IV) nitrate
(vi) Iron(III) hexacyanoferrate(II)
9.2 Write the IUPAC names of the following coordination compounds:
(i) [Co(NH3)6]Cl3 (ii) [Co(NH3)5Cl]Cl2 (iii) K3[Fe(CN)6]
(iv) K3[Fe(C2O4)3] (v) K2[PdCl4] (vi) [Pt(NH3)2Cl(NH2CH3)]Cl
Isomers are two or more compounds that have the same chemical
formula but a different arrangement of atoms. Because of the different
arrangement of atoms, they differ in one or more physical or chemical
properties. Two principal types of isomerism are known among
coordination compounds. Each of which can be further subdivided.
(a) Stereoisomerism
(i) Geometrical isomerism (ii) Optical isomerism
(b) Structural isomerism
(i) Linkage isomerism (ii) Coordination isomerism
(iii) Ionisation isomerism (iv) Solvate isomerism
Stereoisomers have the same chemical formula and chemical
bonds but they have different spatial arrangement. Structural isomers
have different bonds. A detailed account of these isomers are
given below.
This type of isomerism arises in heteroleptic
complexes due to different possible geometric
arrangements of the ligands. Important examples of
this behaviour are found with coordination numbers
4 and 6. In a square planar complex of formula
[MX2L2] (X and L are unidentate), the two ligands X
may be arranged adjacent to each other in a cis
isomer, or opposite to each other in a trans isomer
as depicted in Fig. 9.2.
Other square planar complex of the type
MABXL (where A, B, X, L are unidentates)
shows three isomers-two cis and one trans.
You may attempt to draw these structures.
Such isomerism is not possible for a tetrahedral
geometry but similar behaviour is possible in
octahedral complexes of formula [MX2L4] in
which the two ligands X may be oriented cis
or trans to each other (Fig. 9.3).
9.4 Isomerism in
Coordination
Compounds
Fig. 9.2: Geometrical isomers (cis and
trans) of Pt(NH3)2Cl2)
Co
Cl
NH Cl 3
NH3 NH3
NH3
+
Co
Cl
Cl
NH3
NH3 NH3
NH3
+
cis trans
Fig. 9.3: Geometrical isomers (cis and trans)
of [Co(NH3)4Cl2]+
245 Coordination Compounds
This type of isomerism also
arises when didentate ligands
L ? L [e.g., NH2 CH2 CH2 NH2 (en)]
are present in complexes of formula
[MX2(L ? L)2] (Fig. 9.4).
Another type of geometrical
isomerism occurs in octahedral
coordination entities of the type
[Ma3b3] like [Co(NH3)3(NO2)3]. If
three donor atoms of the same
ligands occupy adjacent positions
at the corners of an octahedral
face, we have the facial (fac)
isomer. When the positions are
around the meridian of the
octahedron, we get the meridional
(mer) isomer (Fig. 9.5).
Fig. 9.4: Geometrical isomers (cis and trans)
of [CoCl2(en)2]
Why is geometrical isomerism not possible in tetrahedral complexes
having two different types of unidentate ligands coordinated with
the central metal ion ?
Tetrahedral complexes do not show geometrical isomerism because
the relative positions of the unidentate ligands attached to the central
metal atom are the same with respect to each other.
Solution
Optical isomers are mirror images that
cannot be superimposed on one
another. These are called as
enantiomers. The molecules or ions
that cannot be superimposed are
called chiral. The two forms are called
dextro (d) and laevo (l) depending
upon the direction they rotate the
plane of polarised light in a
polarimeter (d rotates to the right, l to
the left). Optical isomerism is common
in octahedral complexes involving
didentate ligands (Fig. 9.6).
In a coordination
entity of the type
[PtCl2(en)2]2+, only the
cis-isomer shows optical
activity (Fig. 9.7).
9.4.2 Optical Isomerism
Fig.9.6: Optical isomers (d and l) of [Co(en)3 ] 3+
Fig.9.7
Optical isomers
(d and l) of cis-
[PtCl2(en)2]2+
Fig. 9.5
The facial (fac) and
meridional (mer)
isomers of
[Co(NH3 )3(NO2 )3]
Example 9.4
Chemistry 246
Linkage isomerism arises in a coordination compound containing
ambidentate ligand. A simple example is provided by complexes
containing the thiocyanate ligand, NCS?, which may bind through the
nitrogen to give M?NCS or through sulphur to give M?SCN. Jørgensen
discovered such behaviour in the complex [Co(NH3)5(NO2)]Cl2, which is
obtained as the red form, in which the nitrite ligand is bound through
oxygen (?ONO), and as the yellow form, in which the nitrite ligand is
bound through nitrogen (?NO2).
This type of isomerism arises from the interchange of ligands between
cationic and anionic entities of different metal ions present in a complex.
An example is provided by [Co(NH3)6][Cr(CN)6], in which the NH3 ligands
are bound to Co3+ and the CN? ligands to Cr3+. In its coordination
isomer [Cr(NH3)6][Co(CN)6], the NH3 ligands are bound to Cr3+ and the
CN? ligands to Co3+.
This form of isomerism arises when the counter ion in a complex salt
is itself a potential ligand and can displace a ligand which can then
become the counter ion. An example is provided by the ionisation
isomers [Co(NH3)5SO4]Br and [Co(NH3)5Br]SO4.
9.4.3 Linkage
Isomerism
9.4.4 Coordination
Isomerism
9.4.5 Ionisation
Isomerism
Out of the following two coordination entities which is chiral
(optically active)?
(a) cis-[CrCl2(ox)2]3? (b) trans-[CrCl2(ox)2]3?
The two entities are represented as
Draw structures of geometrical isomers of [Fe(NH3)2(CN)4]?
Solution
Out of the two, (a) cis - [CrCl2(ox)2]3- is chiral (optically active).
Example 9.5
Solution
Example 9.6
247 Coordination Compounds
This form of isomerism is known as ?hydrate isomerism? in case where
water is involved as a solvent. This is similar to ionisation isomerism.
Solvate isomers differ by whether or not a solvent molecule is directly
bonded to the metal ion or merely present as free solvent molecules
in the crystal lattice. An example is provided by the aqua
complex [Cr(H2O)6]Cl3 (violet) and its solvate isomer [Cr(H2O)5Cl]Cl2.H2O
(grey-green).
9.4.6 Solvate
Isomerism
Intext Questions
9.3 Indicate the types of isomerism exhibited by the following complexes and
draw the structures for these isomers:
(i) K[Cr(H2O)2(C2O4)2 (ii) [Co(en)3]Cl3
(iii) [Co(NH3)5(NO2)](NO3)2 (iv) [Pt(NH3)(H2O)Cl2]
9.4 Give evidence that [Co(NH3)5Cl]SO4 and [Co(NH3)5SO4]Cl are ionisation
isomers.
Werner was the first to describe the bonding features in coordination
compounds. But his theory could not answer basic questions like:
(i) Why only certain elements possess the remarkable property of
forming coordination compounds?
(ii) Why the bonds in coordination compounds have directional
properties?
(iii) Why coordination compounds have characteristic magnetic and
optical properties?
Many approaches have been put forth to explain the nature of
bonding in coordination compounds viz. Valence Bond Theory (VBT),
Crystal Field Theory (CFT), Ligand Field Theory (LFT) and Molecular
Orbital Theory (MOT). We shall focus our attention on elementary
treatment of the application of VBT and CFT to coordination compounds.
According to this theory, the metal atom or ion under the influence of
ligands can use its (n-1)d, ns, np or ns, np, nd orbitals for hybridisation
to yield a set of equivalent orbitals of definite geometry such as octahedral,
tetrahedral, square planar and so on (Table 9.2). These hybridised orbitals
are allowed to overlap with ligand orbitals that can donate electron pairs
for bonding. This is illustrated by the following examples.
9.5 Bonding in
Coordination
Compounds
9.5.1 Valence
Bond
Theory
Table 9.2: Number of Orbitals and Types of Hybridisations
4 sp3 Tetrahedral
4 dsp2 Square planar
5 sp3d Trigonal bipyramidal
6 sp3d2 Octahedral
6 d2sp3 Octahedral
Coordination
number
Type of
hybridisation
Distribution of hybrid
orbitals in space
Chemistry 248
Orbitals of Ni ion 3+
sp3
2+
hybridised
orbitals of Ni
[NiCl ]
(high spin complex)
4
2?
3d 4s 4p
Four pairs of electrons
from 4 Cl?
sp3 3d hybrid
It is usually possible to predict the geometry of a complex from
the knowledge of its
magnetic behaviour on
the basis of the valence
bond theory.
In the diamagnetic
octahedral complex,
[Co(NH3)6]3+, the cobalt ion
is in +3 oxidation state
and has the electronic
configuration 3d6. The
hybridisation scheme is as
shown in diagram.
Orbitals of Co ion 3+
d sp 2 3
3+
hybridised
orbitals of Co
[Co(NH ) ]
(inner orbital or
low spin complex)
3 6
3+
Six pairs of electrons
from six NH molecules 3
3d ns nd
d sp 2 3hybrid
Orbitals of Co ion 3+
sp d 3 2
3+
hybridised
orbitals of Co
[CoF ]
(outer orbital or
high spin complex)
6
3?
Six pairs of electrons
from six F ions ?
3d 4s 4p
sp d 3 3 hybrid
4d
3d
3d
Six pairs of electrons, one from each NH3 molecule, occupy the six
hybrid orbitals. Thus, the complex has octahedral geometry and is
diamagnetic because of the absence of unpaired electron. In the formation
of this complex, since the inner d orbital (3d) is used in hybridisation,
the complex, [Co(NH3)6]3+ is called an inner orbital or low spin or spin
paired complex. The paramagnetic octahedral complex, [CoF6]3? uses
outer orbital (4d ) in hybridisation (sp3d2). It is thus called outer orbital
or high spin or spin free complex. Thus:
In tetrahedral complexes
one s and three p orbitals
are hybridised to form four
equivalent orbitals oriented
tetrahedrally. This is illustrated
below for [NiCl4]2-.
Here nickel is in +2
oxidation state and the ion
has the electronic
configuration 3d8. The
hybridisation scheme is as
shown in diagram.
Each Cl? ion donates a pair of electrons. The compound is
paramagnetic since it contains two unpaired electrons. Similarly,
[Ni(CO)4] has tetrahedral geometry but is diamagnetic since nickel is in
zero oxidation state and contains no unpaired electron.
249 Coordination Compounds
Orbitals of Ni ion 2+
dsp hybridised
orbitals of Ni
2
2+
[Ni(CN) ]
(low spin complex)
4
2?
3d 4s 4p
Four pairs of electrons
from 4 CN groups ?
3d dsp2 hydrid 4p
3d 4p
9.5.2 Magnetic
Properties
of
Coordination
Compounds
In the square planar complexes, the hybridisation involved is dsp2.
An example is [Ni(CN)4]2?. Here nickel is in +2 oxidation state and has
the electronic configuration 3d8. The hybridisation scheme is as shown
in diagram:
Each of the hybridised orbitals receives a pair of electrons from a
cyanide ion. The compound is diamagnetic as evident from the absence
of unpaired electron.
It is important to note that the hybrid orbitals do not actually exist.
In fact, hybridisation is a mathematical manipulation of wave equation
for the atomic orbitals involved.
The magnetic moment of coordination compounds can be measured
by the magnetic susceptibility experiments. The results can be used to
obtain information about the structures adopted by metal complexes.
A critical study of the magnetic data of coordination compounds of
metals of the first transition series reveals some complications. For
metal ions with upto three electrons in the d orbitals, like Ti3+ (d1); V3+
(d2); Cr3+ (d3); two vacant d orbitals are available for octahedral
hybridisation with 4s and 4p orbitals. The magnetic behaviour of these
free ions and their coordination entities is similar. When more than
three 3d electrons are present, the required pair of 3d orbitals for
octahedral hybridisation is not directly available (as a consequence of
Hund?s rule). Thus, for d4 (Cr2+, Mn3+), d5 (Mn2+, Fe3+), d6 (Fe2+, Co3+)
cases, a vacant pair of d orbitals results only by pairing of 3d electrons
which leaves two, one and zero unpaired electrons, respectively.
The magnetic data agree with maximum spin pairing in many cases,
especially with coordination compounds containing d6 ions. However,
with species containing d4 and d5 ions there are complications. [Mn(CN)6]3?
has magnetic moment of two unpaired electrons while [MnCl6]3? has a
paramagnetic moment of four unpaired electrons. [Fe(CN)6]3? has magnetic
moment of a single unpaired electron while [FeF6]3? has a paramagnetic
moment of five unpaired electrons. [CoF6]3? is paramagnetic with four
unpaired electrons while [Co(C2O4)3]3? is diamagnet