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Chemical Bonding
And Molecular
Structures
O R B I T A L
O V E R L A P
C O N C E P T
• If orbitals of 2 atoms are mixed with each other partially during bond formation,
then the phenomenon is called as overlapping of orbitals.
• TYPES OF ORBITAL OVERLAPS:
• 1.Positive overlap: If the symmetry of both the atomic orbitals is the same, then it
is called as positive overlap i.e. if the symmetry of the overlapping orbitals is either
positive, or negative, then it is a type of positive overlap.
• 2.Negative overlap: If the symmetry of the atomic orbitals is not the same, i.e.,
one is positive and the other negative, then it is a type of negative overlap.
• 3.Zero overlap: If overlap of orbitals present in 2 different planes takes place
,then it is called as zero overlap. E.g..Px
overlaps with Py
(in real
situation, overlapping does not takes place.)
T Y P E S O F O V E R L A P S
R E S U L T IN G I N S I G M A
B O N D F O R M A T I O N
O V E R L A P S
R E S U L T I N G
I N P I B O N D F
O R M A T I O N
Due to lateral/sideways
overlap of P-P orbitals present
in the same plane, Pi bond is
formed.
C O M P A R I
SIGMA BONDS
• It is a strong bond.
• Electron cloud is
symmetrical along the inter-
nuclear axis.
• There can be free rotations of
atoms around this bond.
• These are less reactive.
• Shape of the molecule is
determined by these bonds.
• Sigma bonds have
independent existence.
S IO N
PI BONDS
• It is a weak bond.
• Electron cloud is
asymmetrical.
• Free rotation is not possible
around this bond.
• These are more reactive.
• These bonds do not affect the
shape of the molecule.
• Pi bond always exists with a
sigma bond.
H Y B R I D I Z A T IO N
The intermixing of different atomic orbitals of approximately equal energy levels to
produce hybrid orbitals before bond formation is called as HYBRIDIZATION.
Here arrangement of hybrid orbitals are such that there is minimum repulsion in
between the hybrid orbitals.
No. of orbitals mixed=No. of hybrid orbitals produced.
DIFFERENT TYPES OF HYBRIDISATIONS:
Sp Hybridization
NO. of hybrid orbitals produced=2
Structure = LINEAR
Bond angle = 180 degree …..e.g. BeF₂
s p
H Y B R I D I D S A T IO N
• SP2
Hybridization:
• No. of hybrid orbitals produced = 3
• Arrangement of these orbitals = TRIGONAL PLANAR
• Bond angle=120 degree……..ex. BF₃, etc.
• SP3
Hybridization:
• No. of hybrid orbitals = 4
• Arrangement= TETRAHEDRAL
• BOND ANGLE…..
• IN CH₄ = 109.28 degree
• IN NH₃ = 107.3 degree.
• Here, in methane, sigma bond is formed between H and C atom due to
overlapping of sp3 orbital of H atom with S orbital of H atom.
• Structure of NH₃ – TRIANGULR PYRAMIDAL.
• SP2
Hybridization
• SP3
Hybridization
• SP3
d Hybridization:
• NO. of hybrid orbitals produced = 5
• Structure = TRIGONAL BIPYRAMIDAL
• BOND ANGLES:
• Equatorial = 120 degree.
• Axial = 90 degree.
• If lone pair of electron is present at central atom, its position is always
equatorial.Ex.PCl5
• Length of axial bonds is longer than that of equatorial bonds because of
minimum repulsion.
• IT may have different shapes according to no. of lone pairs it has:
• 1 lone pair – seesaw shape………e.g. SF₄
• 2 lone pairs – bent T shape………E.g. BrF₃
• 3 Lone pairs – Linear shape
• SP3
d2
Hybridization:
• No. of hybrid orbitals produced = 6
• Arrangement = OCTAHEDRAL……e.g. SF₆
• Shape may be:
• Square pyramidal…..e.g. BrF₅
• Square planar…….e.g. XeF4₄
• SP3
d3
Hybridization:
• No. of hybrid orbitals = 7
• Arrangement = PENTAGONAL BIPYRAMIDAL
• BOND ANGLES:
• Axial with equatorial = 90 degree.
• Equatorial to equatorial = 72 degree.
( lone pairs = 0)
( lone pairs = 1)
(lone pairs = 2)
• SP3d2
Hybridization
• Sp3d3
Hybridization
R U L E S R E G A R D IN G
H Y B R I D I Z A T I O N
• Only orbitals of approximately same energy levels can take part.
• No. of orbitals mixed = No. of hybrid orbitals produced.
• Most hybrid orbitals are similar but not always identical in shape. They
may differ from one another in their orientation in space.
• The electron waves in hybrid orbitals repel each other and this tend to the
farthest apart.
• Hybrid orbitals can form only sigma bonds.
• Depending on the number and the nature of the orbitals undergoing
hybridization, various types of hybrid orbitals directing towards the
corners of specified geometrical figures come into existence.
• C O N D I T I O N S F O R C
O M B I N A T I O N O F
A T O M I C O R B I T A L
S
• For atomic orbitals to combine, resulting in the
formation of molecular orbitals , the main conditions
are :
• The combining atomic orbitals should have almost the
same energies. For example, in the case of diatomic
molecules, 1s-orbital of one atom can combine with 1s-
orbital of the other atom, but 1s-orbital of one atom
cannot combine with 2s-orbital of the other atom.
• The extent of overlap between the atomic orbitals of
the two atoms should be large.
• The combining atomic orbitals should have the same
symmetry about the molecular axis. For
example, 2Px
orbital of one atom can combine with
2Px
orbital of the other atom but not with 2Pz
orbital .
• Note : It may be noted that Z-axis is taken as the
D e s
i
g n a t i o n s o f
M o l e c u la r O r b it a l s
Just as atomic orbitals are designated as
s, p, d, f etc molecular orbitals of diatomic molecules are
named σ (sigma) ,
π (pi) , δ (delta) etc.
M O L E C U L A R O R B I T A L S
The molecular orbitals which are cylindrically symmetrical
around inter-nuclear axis are called σ - molecular orbitals.
The molecular orbital formed by the addition of 1s orbitals
is designated as σ 1s and the molecular orbital formed by
subtraction of 1s orbitals is designated as σ * 1s .
Similarly combination of 2s orbital results in the
formation of two
2 s - molecular orbitals designated as σ 2s and σ * 2s
1.Determine the number of electrons in the molecule. We get the
number of electrons per atom from their atomic number on the
periodic table. (Remember to determine the total number of
electrons, not just the valence electrons.)
2.Fill the molecular orbitals from bottom to top until all the
electrons are added. Describe the electrons with arrows. Put two
arrows in each molecular orbital, with the first arrow pointing up
and the second pointing down.
3.Orbitals of equal energy are half filled with parallel spin before
they begin to pair up.
Stability of the molecule with bond
order.
Bond order = 1/2 (#e- in bonding MO's - #e-
in antibonding MO's)
We use bond orders to predict the
stability of molecules :-
• If the bond order for a molecule is equal to
zero, the molecule is unstable.
• A bond order of greater than zero suggests a
stable
molecule.
• The higher the bond order is, the more stable the
bond.
We can use the molecular orbital diagram to predict
whether the molecule is paramagnetic or
diamagnetic. If all the electrons are paired, the
molecule is diamagnetic. If one or more electrons
are unpaired, the molecule is paramagnetic.
1. The molecular orbital diagram for a diatomic hydrogen molecule, H2
,
is
• The bond order is 1. Bond Order = 1/2(2 - 0) = 1
• The bond order above zero suggests that H2
is stable.
• Because there are no unpaired electrons, H2
is diamagnetic.
2. The molecular orbital diagram for a diatomic helium molecule, He2
, shows the
following.
• The bond order is 0 for He2
. Bond Order = 1/2(2 - 2) = 0
• The zero bond order for He2
suggests that He2
is unstable.
• If He2
did form, it would be diamagnetic
3. The molecular orbital diagram for a diatomic oxygen molecule, O2
,
is
• O2
has a bond order of 2. Bond Order = 1/2(10 - 6) = 2
• The bond order of two suggests that the oxygen molecule is
stable.
• The two unpaired electrons show that O2
is paramagnetic
Diatomic molecules are molecules composed only of two atoms,
of either the same or different chemical elements. The prefix di-
is of Greek origin, meaning two. Common diatomic molecules
are hydrogen (H2
), nitrogen (N2
), oxygen (O2
), and carbon
monoxide (CO). Seven elements exist as homonuclear diatomic
molecules at room temperature: H2
, N2
, O2
, F2
, Cl2
, Br2
, and I2
.
Many elements and chemical compounds aside from these form
diatomic molecules when evaporated. The noble gases do not
form diatomic molecules: this can be explained using molecular
orbital theory (see molecular orbital diagram).
INTRODUCTION
1.Two H atoms in their ground state configuration come
together and form a single bond. The bond formation
stabilizes both atoms and, therefore, is lower in energy
than the atomic orbitals. This is also observed in
Valence Bond Theory, which implies that each H atom
in H2
shares its electron with one another, so that both
can achieve the stable configuration of He.
2.On top of that, MO Theory allows one to compute the
amount of energy released from a bond formation and a
distance between two bonded atoms as well as predict
the magnetic property of a molecule (or a substance).
For H2
, the bond strength is -432 kJ/Mol, and the bond
length is 74 angstrom (or 74 pm). H2
is a diamagnetic
molecule because the electrons paired up; therefore, it is
not attracted by a magnetic field.
B o n d i n g
m o l e c u l a r o r
a n d
b i t a l
A n t i -b o n d i
n g
s i n H 2
1.Each H atom has a 1s atomic orbital. When two H atoms come to a proper proximity, their 1s
orbitals interact and produce two molecular orbitals: a bonding MO and an anti-bonding
MO.
2.If the electrons are in phase, they have a constructive interference. This results in a bonding
sigma MO (σ1s
). This MO has an increased probability of finding electrons in the bonding
region.
Figure 2: Schematic representation of the bonding molecular orbital σ(1s)
If the electrons are out of phase, they have a destructive interference. This results in an anti-
bonding sigma MO (σ*1s
). This MO has a decreased probability of finding electrons in the
bonding region. (Valence Bond Theory does not explain this phenomenon.)
Figure 3:Schematic representation of antibonding molecular orbital
σ*(1s) Note that there is a nodal plane in the anti-bonding
B o n d o r d e r i n H 2
Bond order = 1/2 (#e- in bonding MO - #e- in antibonding MO)
For H2
, bond order = 1/2 (2-0) = 1, which means H2
has only one
bond. The antibonding orbital is empty. Thus, H2
is a stable
molecule.
Again, in the MO, there is no unpaired electron, so H2
is
diamagnetic
H Y D R O G E N B O N
D
In compounds of hydrogen with strongly electronegative
elements, such as fluorine, oxygen and
nitrogen, electron pair shared between the two atoms
lie far away from the hydrogen atom. As a result, the
hydrogen atom becomes highly electropositive with
respect to the other atom. This phenomenon of charge
separation in the case of hydrogen fluoride is
represented as . Such a molecule is said to be polar .
The molecule behaves as a dipole because one end
carries a positive charge and the other end a negative
charge. The electrostatic force of attraction between
such molecules should be very strong. This is
because the positive end of one molecule is attracted
by the negative end of the other molecule . Thus, two
or molecules may associate together to form larger
cluster of molecules. This is illustrated below for the
association of several molecules of hydrogen fluoride.
• The cluster of HF molecules may be described as
(HF)n
.
• It may be noted that hydrogen atom is bonded to
fluorine atom by a covalent bond in one molecule and
by electrostatic force or by hydrogen bond to the
fluorine atom in the adjacent molecule . Hydrogen
atom is thus seen to act as a bridge between the two
fluorine atoms.
• The hydrogen bond is represented by a dotted line. The
solid lines represent the original(covalent ) bond
present in the molecule.
• Chlorine, bromine and iodine are not as highly
electronegative as fluorine and therefore, the shared
pair of electrons in the case of HCl , HBr and HI do
not lie as far away from hydrogen as in the case of
HF. The tendency to form hydrogen bond in these
cases is therefore less.
• Water molecule, because of its bent structure, is also a
dipole, oxygen end carrying a negative charge and
hydrogen end carrying a positive charge. Hydrogen
bond taking place in this case as well, as represented
below:
• The cluster of water molecules may be described as
(H2
O)n
• The nature of hydrogen bond
• The hydrogen bond is a class in itself. It arises from
electrostatic forces between positive end (pole) of one
molecule and the negative end(pole) of the other
molecule generally of the same substance. The strength
of hydrogen bond has been has been found to vary
between 10 - 40 kJ mol−1
(i.e., 6.02 x
1023
bonds) while that of a covalent bond has been
found to be of the order of 400 kJ mol−1
. Thus a
hydrogen bond is very much weaker than a covalent
bond. Consequently, the length of hydrogen bond is
bigger than the length of a covalent bond.
• In the case of hydrogen fluoride, for instance, while the
length of the covalent bond between F and H atoms is
100 pm, the length of hydrogen bond between F and H
atoms of neighbouring molecules is 155 pm.
• T y p e s o f h y d r o g e
n b o n d i n g
• Hydrogen bonding may be classified into
two types :
• In t e r m o l e c u l a
r
h y d r o g e n b o n d
in g
This type of hydrogen bonding involves electrostatic
forces of attraction between hydrogen and
electronegative element of two different molecules of
the substance. Hydrogen bonding in molecules of
HF, NH3
, H2
O etc. are examples of intermolecular
hydrogen bonding.
• In t r a m o l e c u l a
r
h y d r o g e n b o n d
i n g
This type of bonding involves electrostatic forces of
attraction between hydrogen and electronegative
element both present in the same molecule of the
substance. Examples o-nitrophenol and
salicylaldehyde.
• p-Nitrophenol , on account of large distance between
two groups , does not show any intramolecular
hydrogen bonding. On the other hand, it shows the
usual inter molecular hydrogen bonding , as
illustrated below:
• As a result of intermolecular hydrogen bonding, the
para derivative undergoes association, resulting in an
increase in molar mass and hence an increase in boiling
point. In ortho derivative, on account
of intramolecular hydrogen bonding , no such
association is possible. Consequently, the ortho
derivative is more volatile than the para derivative.
Thus, while ortho nitrophenol is readily volatile in
steam , para nitrophenol is completely non-volatile.
The two derivatives can thus be separated from each
other by steam distillation.
• Density in solid state(ice) is less than that in liquid
state . This is some what unusual because in most
substances density in solid is more than that in liquid
state.
• Water contracts when heated between 0°C and 4°
C . This is again unusual because most substances
expand when heated in all temperature ranges.
• Both these peculiar features are due to
hydrogen bonding, as discussed below :
• In ice, hydrogen bonding between H2
O
molecules is more extensive than in liquid
water. A substance in solid state has a
definite structure and the molecules are
more rigidly fixed relative to one another
than in the liquid state. In ice, the H2
O
molecules are tetrahedrally oriented with
respect to one another.At the same time
, each oxygen atom is surrounded
tetrahedrally by four hydrogen atoms, two
of these are bonded covalently and the other
two by hydrogen bonds.The tetrahedral
open cage-like crystal structure of ice. The
central oxygen atom A is surrounded
tetrahedrally by the oxygen atoms marked
1,2, 3 and 4.The hydrogen bonds are
weaker and therefore, longer than covalent
bonds. This arrangement gives rise to an
open cage-like structure , as shown in the
Fig. There are evidently a number of ‘holes'
or open spaces.
• These holes are formed because the hydrogen bonds
holding the H2
O molecules in ice are directed in
certain definite angles . In liquid water such
hydrogen bonds are fewer in number. Therefore, as ice
melts, a large number of hydrogen bonds are broken.
The molecules, therefore, move into the ‘hole' or open
spaces and come closer to one another than they were
in the solid state. This results in a sharp increase in
density . The density of liquid water is, therefore
higher than that of ice.
• As liquid water is heated from 0°C to 4°C, hydrogen
bonds continue to be broken and the molecules come
closer and closer together. This leads
to contraction. However, there is some expansion of
water also due to rise in temperature as in other
liquids. It appears that up to 4°C, the former effect
predominates and hence the volume increases as the
temperature rises.
• It can be easily realised that without hydrogen
bonding , water would have existed as a gas
like hydrogen sulphide. In that case no life
would have been possible on this globe.
• Hydrogen bonding also exists in all living
organisms, whether of animal or of vegetable
kingdom. Thus, it exists in various
tissues, organs, blood, skin and bones in
animal life. It plays an important role in
determining structure of proteins which are
so essential for life.
• Hydrogen bonding plays an important role in making
wood fibres more rigid and thus makes it an article of
great utility. The cotton, silk or synthetic fibres owe
their rigidity and tensile strength to hydrogen bonding.
Thus hydrogen bonding is of vital importance for our
clothing as well. Most of our food materials also
consists of hydrogen bonded molecules. Sugars and
carbohydrates , for example, have many -OH groups.
The oxygen of one such group in one molecule is
bonded with -OH group of another molecule through
hydrogen bonding. Hydrogen bonding is thus a
phenomenon of great importance in every day life.