Coordination Numbers in Inorganic Compounds: Geometries and Structures

Coordination 
numbers of 
inorganic compounds
 
(15-11-2018)
In 
the 
field 
of 
inorganic coordination complexes 
it is the 
geometrical
pattern 
formed 
by 
the 
atoms 
in the 
ligands
 
that 
are 
bonded
 
to 
the 
central
atom 
in 
a 
molecule
 
or 
a 
coordination 
complex
. 
The 
geometrical
arrangement will 
vary 
according 
to 
the 
number 
and 
type 
of 
ligands
bonded 
to the 
metal 
centre, 
and 
to 
the 
coordination 
preference 
of 
the
central 
atom, 
typically a metal 
in 
a 
coordination complex
. 
The 
number 
of
atoms bonded, 
(i.e. the 
number 
of 
σ-bonds
 
between central 
atom and
ligands) is 
termed 
the 
coordination number
. The 
geometrical 
pattern 
can
be 
described 
as 
a 
polyhedron
 
where the 
vertices 
of 
the 
polyhedron 
are the
centres 
of 
the 
coordinating 
atoms 
in 
the
 
ligands.
The 
coordination 
preference 
of 
a 
metal often 
varies 
with 
its oxidation
state. 
The 
number 
of 
coordination bonds (
coordination 
number
) 
can 
vary
from 
two 
as 
high 
as 20 
in 
Th(η
5
-C
5
H
5
)
4
.One of 
the 
most 
common
coordination 
geometries 
is 
octahedral
, 
where 
six 
ligands 
are 
coordinated
to the 
metal 
in 
a 
symmetrical 
distribution, leading 
to 
the 
formation 
of 
an
octahedron
 
if 
lines 
were 
drawn between 
the 
ligands. 
Other common
coordination 
geometries 
are 
tetrahedral
 
and 
square 
planar
 
like 
complexes
of 
AuCl
4
-
, 
PtCl
2
Py
2 
and 
[Ni(en)
2
]
2+
 
ion.
Here, 
we 
will 
focus 
on 
the 
common coordination numbers 
in 
most metal
complexes 
and 
ions 
of transition 
elements 
which involve 
C.N=4,5 
and 6,
whereas 
the 
high 
coordination numbers 
like 7,8,9,10 
and 
12 
are well-
known 
in large 
atomic 
radium 
metals 
like tungsten (W), 
Re, 
OS, 
Nb,
Mo,Ta,Zr 
and 
lanthanides such 
as 
U,Nb,Sm
 
etc.
Coordination 
Number
 
4
Two 
different 
geometries are 
possible. 
The tetrahedron is 
the
more 
common 
while 
the square 
planar is found in 
particular
with 
metal 
ions 
having a d
8 
electronic
 
configuration.
4
Geometry of 
NiCl 
2- 
ion 
(SP
3
 
hybridization
Geometry of 
dsp
2 
square 
planner 
complexes 
of Pt(II)
 
complexes
C.N=5.
The five-coordinate symmetry 
have 
been shown 
in 
two 
expected 
geometries: Square pyramid, 
and 
trigonal 
bi pyramid 
as
 
below:
Square 
pyramid, 
(C
4v
) with (d
4
s)
 
hybridization
Oxovanadium
 
salts 
(Vanadyl,
 
VO
2+
) 
often 
show
 
square 
pyramidal
geometry, 
for 
example, VO(acac)
2
. Note 
that the 
Vanadium(IV) can 
be
considered coordinatively unsaturated 
and addition 
of 
pyridine leads 
to
the 
formation 
of an 
octahedral
 
complex.
Trigonal 
Bipyramid,
 
(D
3h
)
The 
structure 
of 
[Cr(en)
3
][Ni(CN)
5
] 1.5 H
2
O 
was 
reported 
in 
1968 
to 
be 
a
remarkable example 
of 
a complex exhibiting 
both 
types of geometry 
in
the 
same
 
crystal.
Geometry 
of 
CN=5 
of dsp
3 
for [Mn(CO)
5
]
-
 
ion
Geometry of 
[Ni(CN)
5
]
3- 
ion 
(dSP
3 
hybridization)
Octahedral,
 
(O
h
)
The 
most 
common geometry 
found for 
first 
row 
transition 
metal 
ions,
including 
all aqua 
ions. 
In 
some 
cases 
distortions 
are 
observed and 
these
can 
sometimes 
be 
explained 
in 
terms of 
the 
Jahn-Teller
 
Theorem.
Geometry of 
[Cu(NH
3
)
6
]SO
4 
complex 
of 
sp
3
d
2
 
hybridization
Coordination 
Number
 
7
Three 
geometries are
 
possible:
Not very 
common 
for 
1st row 
complexes 
and 
the 
energy difference
between 
the 
structures 
seems 
small 
and 
distortions 
occur 
so that
prediction 
of 
the closest 
"idealised" 
shape 
is 
generally
 
difficult.
Capped 
octahedron,
 
(C
3v
)
Capped trigonal 
prism,
 
(C
2v
)
Pentagonal Bipyramid,
 
(D
5h
)
3
-
Pentagonal bipyramid 
d
3
sp
3 
hybridization 
of ZrF
7
 
ion
2-
 
3
 
3
Trigonal prismatic 
TaF
7 
ion 
(d sp
 
)
Coordination 
Number
 
8
Dodecahedron,
 
(D
2d
)
Cube,
 
(O
h
)
Square antiprism,
 
(D
4d
)
Hexagonal 
bipyramid,
 
(D
6h
)
3
-
Geometry of
 
TaF
8
Geometry of 
[Nd(H
2
O)
9
]
2+
 
ion
Handout about 
coordination compounds(lectures
 1,2,3)
1.Indicate the 
coordination 
number 
for the 
central 
metal atom
in 
each 
of 
the 
following coordination
 
compounds:
(a)
[Pt(H
2
O)
2
Br
2
]
(b)
[Pt(NH
3
)(py)(Cl)(Br)] (py 
= pyridine,
 
C
5
H
5
N)
(c)
[Zn(NH
3
)
2
Cl
2
]
(d)
[Zn(NH
3
)(py)(Cl)(Br)]
(e)
[Ni(H
2
O)
4
Cl
2
]
(f)
[Fe(en)
2
(CN)
2
]
+ 
(en 
= ethylenediamine,
 
C
2
H
8
N
2
)
2.
Give 
the 
coordination 
numbers 
and 
write 
the formulas 
for 
each 
of
the 
following, including 
all 
isomers 
where
 
appropriate:
(a)
tetrahydroxozincate(II) 
ion
 
(tetrahedral)
(b)
hexacyanopalladate(IV)
 
ion
(c)
dichloroaurate(I) 
ion 
(note that 
aurum 
is 
Latin 
for
 
“gold”)
(d)
diaminedichloridooplatinum(II)
(e)
potassium
 
diaminetetrachlorochromate(III)
(f)
hexaaminecobalt(III)
 
hexacyanidochromate(III)
(g)
dibromo 
bis(ethylenediamine) 
cobalt(III)
 
nitrate
3.Give 
the 
coordination number 
for 
each 
metal 
ion 
in 
the
following
 
compounds:
(a) 
[Co(CO
3
)
3
]
3− 
(note that 
CO
3
2− 
is 
bi 
dentate 
in 
this 
complex)
(b)
 [Cu(NH
3
)
4
]
2+
(c)
 [Co(NH
3
)
4
Br
2
]
2
(SO
4
)
3
(d)
 
[Pt(NH
3
)
4
][PtCl
4
]
(e)
 
[Cr(en)
3
](NO
3
)
3
(f)
[Pd(NH
3
)
2
Br
2
] 
(square 
planar)
(g)
K
3
[Cu(Cl)
5
]
(h)
[Zn(NH
3
)
2
Cl
2
]
1.
Sketch 
the 
structures of 
the 
following complexes. Indicate
 
any
cis
, 
trans
, and 
optical
 
isomers.
(a)
[Pt(H
2
O)
2
Br
2
] (square
 
planar)
2.
Draw 
diagrams 
for any 
cis
, 
trans
, 
and 
optical isomers 
th t
could exist 
for 
the 
following 
(en is
 
ethylenediamine):
(a)
[Co(en)
2
(NO
2
)Cl]
+
(b)
[Co(en)
2
Cl
2
]
+
(c)
[Pt(NH
3
)
2
Cl
4
]
(d)
 [Cr(en)
3
]
3+
(e)
 
[Pt(NH
3
)
2
Cl
2
]
3.
Name 
each 
of 
the 
compounds 
or 
ions 
given 
in
 
Exercise 
3
,
including 
the 
oxidation 
state 
of 
the
 
metal.
4.
Name 
each 
of 
the 
compounds 
or 
ions 
given 
in
 
Exercise
 
5
.
5.
Specify whether 
the 
following 
complexes 
have
 isomers.
(a)
tetrahedral [Ni(CO)
2
(Cl)
2
]
(b)
trigonalbipyramidal
 
[Mn(CO)
4
NO]
(c)
[Pt(en)
2
Cl
2
]Cl
2
3
6. Predict 
whether 
the 
carbonate 
ligand 
carbonate 
(CO 
2-
)
 
will
coordinate to a 
metal 
center 
as 
a uni dentate, 
bi dentate, 
or
tridentate
 
ligand.
7. Draw the geometric, linkage, 
and ionization 
isomers
 
for
K
3
[Co(SCN)
4
(gly)
2
]
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In inorganic coordination complexes, the coordination number refers to the number of atoms bonded to the central atom. Common geometries include octahedral, tetrahedral, and square planar, depending on the type and number of ligands. Transition metal complexes exhibit different coordination numbers and geometries. Examples include square pyramidal and trigonal bipyramidal arrangements for coordination number 5. The structure diversity can be seen in complexes such as [Cr(en)3][Ni(CN)5]·1.5H2O, showcasing multiple geometries in one crystal.

  • Coordination Numbers
  • Inorganic Compounds
  • Transition Metals
  • Coordination Complexes
  • Geometries

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  1. Coordination numbers of inorganic compounds (15-11-2018) In the field of inorganic coordination complexes it is the geometrical pattern formed by the atoms in the ligands that are bonded to the central atom in a molecule or a coordination complex. The geometrical arrangement will vary according to the number and type of ligands bonded to the metal centre, and to the coordination preference of the central atom, typically a metal in a coordination complex. The number of atoms bonded, (i.e. the number of -bonds between central atom and ligands) is termed the coordination number. The geometrical pattern can be described as a polyhedron where the vertices of the polyhedron are the centres of the coordinating atoms in the ligands. The coordination preference of a metal often varies with its oxidation state. The number of coordination bonds (coordination number) can vary from two as high as 20 in Th( 5-C5H5)4.One of the most common coordination geometries is octahedral, where six ligands are coordinated to the metal in a symmetrical distribution, leading to the formation of an octahedron if lines were drawn between the ligands. Other common coordination geometries are tetrahedral and square planar like complexes of AuCl4-, PtCl2Py2 and [Ni(en)2]2+ion. Here, we will focus on the common coordination numbers in most metal complexes and ions of transition elements which involve C.N=4,5 and 6, whereas the high coordination numbers like 7,8,9,10 and 12 are well- known in large atomic radium metals like tungsten (W), Re, OS, Nb, Mo,Ta,Zr and lanthanides such as U,Nb,Sm etc. Coordination Number 4 Two different geometries are possible. The tetrahedron is the more common while the square planar is found in particular with metal ions having a d8 electronicconfiguration.

  2. Geometry of NiCl 2-ion (SP3hybridization 4 Geometry of dsp2 square planner complexes of Pt(II) complexes C.N=5. The five-coordinate symmetry have been shown in two expected geometries: Square pyramid, and trigonal bi pyramid as below: Square pyramid, (C4v) with (d4s) hybridization Oxovanadium salts (Vanadyl, VO2+) often show square pyramidal geometry, for example, VO(acac)2. Note that the Vanadium(IV) can be considered coordinatively unsaturated and addition of pyridine leads to the formation of an octahedral complex. Trigonal Bipyramid, (D3h)

  3. The structure of [Cr(en)3][Ni(CN)5] 1.5 H2O was reported in 1968 to be a remarkable example of a complex exhibiting both types of geometry in the same crystal. Geometry of CN=5 of dsp3 for [Mn(CO)5]-ion Geometry of [Ni(CN)5]3-ion (dSP3 hybridization)

  4. Octahedral, (Oh) The most common geometry found for first row transition metal ions, including all aqua ions. In some cases distortions are observed and these can sometimes be explained in terms of the Jahn-Teller Theorem. Geometry of [Cu(NH3)6]SO4 complex of sp3d2hybridization Coordination Number 7 Three geometries are possible: Not very common for 1st row complexes and the energy difference between the structures seems small and distortions occur so that prediction of the closest "idealised" shape is generally difficult. Capped octahedron, (C3v) Capped trigonal prism, (C2v)

  5. Pentagonal Bipyramid, (D5h) 3- Pentagonal bipyramid d3sp3 hybridization of ZrF7ion 2- 3 3 Trigonal prismatic TaF7 ion (d sp) Coordination Number8 Dodecahedron, (D2d) Cube, (Oh) Square antiprism, (D4d)

  6. Hexagonal bipyramid, (D6h) 3- Geometry of TaF8 Geometry of [Nd(H2O)9]2+ion Handout about coordination compounds(lectures1,2,3)

  7. 1.Indicate the coordination number for the central metal atom in each of the following coordination compounds: (a) [Pt(H2O)2Br2] (b) [Pt(NH3)(py)(Cl)(Br)] (py = pyridine, C5H5N) (c) [Zn(NH3)2Cl2] (d) [Zn(NH3)(py)(Cl)(Br)] (e) [Ni(H2O)4Cl2] (f) [Fe(en)2(CN)2]+ (en = ethylenediamine, C2H8N2) 2.Give the coordination numbers and write the formulas for each of the following, including all isomers where appropriate: (a) tetrahydroxozincate(II) ion (tetrahedral) (b) hexacyanopalladate(IV) ion (c) dichloroaurate(I) ion (note that aurum is Latin for gold ) (d) diaminedichloridooplatinum(II) (e) potassium diaminetetrachlorochromate(III) (f) hexaaminecobalt(III) hexacyanidochromate(III) (g) dibromo bis(ethylenediamine) cobalt(III) nitrate 3.Give the coordination number for each metal ion in the following compounds: (a) [Co(CO3)3]3 (note that CO32 is bi dentate in this complex) (b) [Cu(NH3)4]2+ (c) [Co(NH3)4Br2]2(SO4)3 (d) [Pt(NH3)4][PtCl4]

  8. (e) [Cr(en)3](NO3)3 (f) [Pd(NH3)2Br2] (square planar) (g) K3[Cu(Cl)5] (h) [Zn(NH3)2Cl2] 1. Sketch the structures of the following complexes. Indicate any cis, trans, and optical isomers. (a) [Pt(H2O)2Br2] (square planar) 2. Draw diagrams for any cis, trans, and optical isomers th t could exist for the following (en is ethylenediamine): (a) [Co(en)2(NO2)Cl]+ (b) [Co(en)2Cl2]+ (c) [Pt(NH3)2Cl4] (d) [Cr(en)3]3+ (e) [Pt(NH3)2Cl2] 3. Name each of the compounds or ions given in Exercise 3, including the oxidation state of the metal. 4. Name each of the compounds or ions given in Exercise 5. 5. Specify whether the following complexes have isomers. (a) tetrahedral [Ni(CO)2(Cl)2] (b) trigonalbipyramidal [Mn(CO)4NO] (c) [Pt(en)2Cl2]Cl2 6. Predict whether the carbonate ligand carbonate (CO 2-) will coordinate to a metal center as a uni dentate, bi dentate, or tridentate ligand. 7. Draw the geometric, linkage, and ionization isomers for K3[Co(SCN)4(gly)2] 3

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