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Chemical Bonding
Dr. Md. Mahbub Alam
Department of Chemistry
BUET, Dhaka-1000
The contents of this presentation is made to give a brief idea about the topic, details will be discussed in the classes. Contents have been
collected from multiple textbooks and internet.
 A Chemical bond is a force of attraction between atoms or ions.
 Atoms or ions are held together in molecules or compounds by
chemical bonds.
 All chemical reactions involve breaking of some bonds and formation
of new ones which yield new products with different properties.
Chemical Bonding
Why do atoms form chemical bonds?
 To achieve a stable valence shell electron configuration of inert gases
Types of Chemical Bonding
 Ionic bonding
- involves the transfer of electrons and is usually observed when
a metal bonds to a nonmetal.
 Covalent bonding
- involves the sharing of electrons and is usually observed when a
nonmetal bonds to a nonmetal.
 Metallic bonding
- involves electron pooling and occurs when a metal bonds to
another metal.
More bonds: Co-ordination covalent bond, Hydrogen bond
Types of Chemical Bonding
 An ionic bond is formed when a metal transfers electrons to a
nonmetal to form ions, which attract each other to give a solid
compound.
 The total number of electrons lost by the metal atom(s) equals the
total number of electrons gained by the nonmetal atoms.
Ionic Bonding
Orbital diagrams
Lewis electron-dot symbols
Formation of ionic bonding between Li and F – through e- configuration
Electron configurations Li 1s22s1 + F 1s22p5 → Li+ 1s2 + F- 1s22s22p6
Li ↑↓
1s 2p
↑
2s
↑↓
↑↓
1s 2p
↑↓
2s
↑↓ ↑
F
+
↑↓
1s 2p
2s
Li+
↑↓
1s 2p
↑↓
2s
↑↓ ↑↓ ↑↓
F-
Li• F
••
•
••
••
Li+ + F
••
••
••
••
-
Ionic Bonding
Na
3p
↑
3s
2p
2s
↑↓ ↑ ↑
↑↓
O
Na
3p
↑
3s
+
2Na+ + O2-
2p
2s
↑↓ ↑↓ ↑↓
↑↓
2Na+ +
••
••
••
••
2-
O
Na•
•
••
O
••
•
Na•
Formation of Na2O
Ionic Bonding
Ionic Bonding - Features
 Metal to nonmetal.
 Metal loses electrons to form cation.
 Nonmetal gains electrons to form anion.
 The electronegativity between the metal and the nonmetal must be
greater than 2.
 Ionic bond results from + to − attraction.
 Larger charge = stronger attraction.
 Smaller ion = stronger attraction.
 Ionic compounds tend to be hard, rigid, and brittle, with high
melting points and boiling points.
 Ionic compounds do not conduct electricity in the solid state.
 In the solid state, the ions are fixed in place in the lattice and do
not move.
 Ionic compounds conduct electricity when melted or dissolved.
 In the liquid state or in solution, the ions are free to move and
carry a current.
Properties of Ionic Compounds
Why Ionic Compounds Crack?
Solid ionic
compound
Molten ionic
compound
Ionic compound
dissolved in water
Electrical Conductance and Ion Mobility
 Atoms share electrons to achieve a full outer level of electrons.
The shared electrons are called a shared pair or bonding pair.
 Often found between two nonmetals.
 Typical of molecular species.
 Atoms bonded together to form molecules.
 The shared pair is represented as a pair of dots or a line:
Covalent Bonding
H
••
H or H–H
Covalent Bonding
Distribution of electron density in H2.
At some distance (bond length),
attractions balance repulsions.
Electron density is high around
and between the nuclei.
Covalent Bonding
The bond order is the number of electron pairs being shared by a
given pair of atoms. A single bond consists of one bonding pair and
has a bond order of 1.
The bond energy (BE) is the energy needed to overcome the
attraction between the nuclei and the shared electrons. The stronger
the bond the higher the bond energy.
The bond length is the distance between the nuclei of the bonded
atoms.
Covalent Bonding
For a given pair of atoms, a higher bond order results in a shorter
bond length and higher bond energy.
For a given pair of atoms, a shorter bond is a stronger bond.
Bond length increases down a group in the periodic table and
decreases across the period. Bond energy shows the opposite
trend.
Covalent Bonding
Table Average Bond Energies (kJ/mol) and Bond Lengths (pm)
Covalent Bonding
 A covalent bond in which the shared electron pair is not shared
equally, but remains closer to one atom than the other, is a polar
covalent bond.
 The ability of an atom in a covalent bond to attract the shared
electron pair is called its electronegativity.
 Unequal sharing of electrons causes the more electronegative atom
of the bond to be partially negative and the less electronegative atom
to be partially positive.
Electronegativity and Bond Polarity
The unequal sharing of electrons can be depicted by a polar
arrow. The head of the arrow points to the more electronegative
element.
A polar bond can also be marked using δ+ and δ- symbols.
Electronegativity and Bond Polarity
Electron density distributions in H2, F2, and HF
In HF, the electron density shifts from H to F.
The H–F bond has partial ionic character.
Electronegativity and Bond Polarity
Lewis structures are representations of molecules showing all valence
electrons, bonding and nonbonding.
Lines correspond to 2 electrons in bond
21
Lewis Structures
22
Drawing Lewis Structures
A way to keep track of those valence electrons
PCl3
5 + 3(7) = 26
1. Find the sum of valence electrons of all atoms
in the polyatomic ion or molecule.
• If it is an anion, add one electron for each
negative charge.
• If it is a cation, subtract one electron for each
positive charge.
2. The central atom is the least electronegative
element. Connect the outer atoms to it by single
bonds.
Keep track of the electrons:
26  6 = 20
23
Drawing Lewis Structures
3. Put eight electrons around the outer atoms (“fill their octet”)
Keep track of the electrons:
26  6 = 20  18 = 2
4. Fill the octet of the central atom.
Keep track of the electrons:
26  6 = 20  18 = 2  2 = 0
Drawing Lewis Structures
5. If you run out of electrons before the central atom has an octet,
form multiple bonds until it does.
Resonance
Lets draw the Lewis structure for ozone, O3.
But why should one O be different from the other?
In actual structure of O3
…both O—O bonds are the same length.
…both outer oxygens have a charge of 1/2.
Resonance
• One Lewis structure cannot accurately depict a molecule such as
ozone.
• We use multiple structures, resonance structures, to describe the
molecule.
• Resonance structure of NO3
-
Resonance
Exceptions to the Octet Rule
• There are three types of ions or molecules that do not follow the octet
rule:
• Ions or molecules with an odd number of electrons.
• Ions or molecules with less than an octet.
• Ions or molecules with more than eight valence electrons (an
expanded octet).
..
..
N O
..
.
Theories of Covalent Bonding
1. Valence Bond Theory (VBT)
The basic principle of VB theory:
 A covalent bond forms when the orbitals of two atoms overlap and a pair of
electrons occupy the overlap region.
 The space formed by the overlapping orbitals can accommodate a maximum of
two electrons and these electrons must have opposite (paired) spins.
 The greater the orbital overlap, the stronger the bond. Extent of orbital overlap
depends on orbital shape and direction.
 The orbitals that form when bonding occurs are different from the atomic orbitals
in the isolated atoms.
Orbital orientation and maximum overlap.
Valence Bond Theory
Hybridization
 Mixing of different types of atomic orbitals to form a uniform set of hybrid orbitals.
 The energy of the hybrid orbitals are different than the atomic orbitals.
 The number of hybrid orbitals formed equals the number of atomic orbitals mixed.
 The type of hybrid orbitals formed varies with the types of atomic orbitals mixed.
 The shape and orientation of a hybrid orbital maximizes overlap with the other atom
in the bond.
Valence Bond Theory
Formation and orientation of sp hybrid orbitals and the bonding in BeCl2.
atomic
orbitals
hybrid orbitals
One 2s and one 2p atomic orbital mix
to form two sp hybrid orbitals.
Hybridization
box diagram with orbital contours
Overlap of Be and Cl orbitals to form BeCl2.
The sp2 hybrid orbitals in BF3
Hybridization
 Mixing one s and two p orbitals gives three sp2 hybrid
orbitals. The third 2p orbital remains unhybridized.
 The three sp2 orbitals point to the corners of an
equilateral triangle, their axes 120° apart.
 Each half-filled sp2 orbital overlaps with the half-
filled 2p orbital of a F atom.
The sp3 hybrid orbitals in CH4
Hybridization
The four sp3 orbitals adopt a tetrahedral shape
The N lone pair occupies an sp3 hybrid
orbital, giving a trigonal pyramidal shape.
The sp3 hybrid orbitals in NH3
Hybridization
The O lone pairs occupy sp3 hybrid
orbitals, giving a bent shape.
The sp3 hybrid orbitals in H2O
Hybridization
The formation of more than four bonding orbitals
requires d orbital involvement in hybridization.
The sp3d hybrid orbitals in PCl5
Hybridization
The sp3d2 hybrid orbitals in SF6
Hybridization
Table 11.1 Composition and Orientation of Hybrid Orbitals
Linear
Trigonal
Planar Tetrahedral
Trigonal
Bipyramidal Octahedral
Atomic orbitals
mixed
one s
one p
one s
two p
one s
three p
one s
three p
one d
one s
three p
two d
Hybrid orbitals
formed
two sp three sp2 four sp3 five sp3d six sp3d2
Unhybridized
orbitals
remaining
two p one p none four d three d
Orientation
Types of Covalent Bonds
 Sigma (σ) bond
when the bonding orbitals point along the axis connecting
the two bonding nuclei, by head to head overlapping
• either standard atomic orbitals or hybrids
• s-to-s, p-to-p, hybrid-to-hybrid, s-to-hybrid, etc.
• All single bonds are σ bonds
 Pi (p) bond
• when the bonding orbitals are parallel to each other and
perpendicular to the axis connecting the two bonding
nuclei, by sideways overlapping
• between unhybridized parallel p orbitals
σ bonds
A p bond is weaker than a σ bond because sideways
overlap is less effective than end-to-end overlap
π bonds
The σ bonds in ethane (C2H6).
both C atoms are sp3
hybridized
s bond formed by s-sp3
head-to-head overlapping
Head-to-head sp3-sp3 overlapping
to form a s bond
Types of Covalent Bonds
The s and p bonds in ethylene (C2H4).
A p bond has two regions of
electron density.
unhybridized 2p orbitals
Types of Covalent Bonds
Each C is sp hybridized and has
two unhybridized p orbitals.
The s and p bonds in acetylene (C2H2).
Types of Covalent Bonds
Predicting the Shapes of Molecules: VSEPR Theory
Valence Shell Electron Pair Repulsion Theory
• In order to limit electrostatic repulsion, electron pairs in the
orbitals around the central atom stay as far apart as possible
Five basic molecular shapes
The number of electron pairs around the central atom
determine molecular geometry....
 2 bonding pairs  linear (Bond angle = 180
o
)
 3 bonding pairs  planar triangle (Bond angle = 120
o
)
 4 bonding pairs  tetrahedral (Bond angle = 109.5o
)
 5 bonding pairs  trigonal bipyramidal
 (Bond angles = 90
o
and 120
o
)
 6 bonding pairs  octahedral (Bond angle = 90
o
)
Predicting the Shapes of Molecules: VSEPR Theory
Predicting the Shapes of Molecules: VSEPR Theory
Predicting the Shapes of Molecules: VSEPR Theory
Predicting the Shapes of Molecules: VSEPR Theory
2. Molecular Orbital (MO) Theory
The combination of orbitals to form bonds is viewed as the combination of wave functions.
Atomic wave functions (AOs) combine to form molecular wave functions (MOs).
Addition of AOs forms a bonding MO, which has a region of high electron density
between the nuclei.
Subtraction of AOs forms an antibonding MO, which has a node, or region of zero
electron density, between the nuclei.
Amplitudes of wave functions added Amplitudes of wave functions subtracted
 An atomic orbital is an electron wave; the waves of the two atomic orbitals may be in
phase or out of phase. Suppose ΨA and ΨB represent the amplitude of the electron
wave of the atomic orbitals of the two atoms A and B.
 Case 1 – Bonding MO: When the two waves are in phase so that they add up
and amplitude of the wave is Φ = ΨA + ΨB
 Case 2 – Antibonding MO: when the two waves are out of phase, the waves are
subtracted from each other so that the amplitude of the new wave is Φ´ = ΨA – ΨB
Formation of Molecular Orbitals
 The probability of finding the electron in the internuclear region of the bonding
molecular orbital is greater than that of combining atomic orbitals.
 The electrons present in the bonding molecular orbital result in the attraction
between the two atoms.
 The bonding molecular orbital has lower energy as a result of attraction and hence
has greater stability than that of the combining atomic orbitals.
 They are formed by the additive effect of the atomic orbitals so that the amplitude of
the new wave is given by Φ= ΨA + ΨB
 They are represented by σ, π, and δ
Characteristics of Bonding Molecular Orbitals
 The probability of finding the electron in the internuclear region decreases in the
anti-bonding molecular orbitals.
 The electrons present in the anti-bonding molecular orbital result in the repulsion
between the two atoms.
 The anti-bonding molecular orbitals have higher energy because of the repulsive
forces and lower stability.
 They are formed by the subtractive effect of the atomic orbitals. The amplitude of the
new wave is given by Φ´ = ΨA – ΨB
 They are represented by σ∗, π∗, δ∗
Characteristics of Bonding Molecular Orbitals
 The energy levels of bonding molecular orbitals are always lower than those of
anti-bonding molecular orbitals.
 This is because the electrons in the orbital are attracted by the nuclei in the case of
bonding Molecular Orbitals whereas the nuclei repel each other in the case of the
anti-bonding Molecular Orbitals.
Why are Antibonding Orbitals Higher in Energy?
 Aufbau’s principle: Molecular orbitals are filled in the increasing order of energy
levels.
 Pauli’s exclusion principle: In an atom or a molecule, no two electrons can have
the same set of four quantum numbers.
 Hund’s rule of maximum multiplicity: Pairing of electrons doesn’t take place until
all the atomic or molecular orbitals are singly occupied.
According to the Molecular Orbital Theory, the filling of orbitals takes
place according to the following rules:
 A MO diagram, just like an atomic orbital diagram, shows the relative energy and
number of electrons in each MO.
 The MO diagram also shows the AOs from which each MO is formed.
 Bond order is calculated as follows:
½[(no. of e– in bonding MO) – (no. of e– in antibonding MO)]
2. Molecular Orbital (MO) Theory
The bonding MO is lower in energy and the antibonding MO is
higher in energy than the AOs that combined to form them.
Contours and energies of bonding and antibonding MOs of H2
H2 bond order = ½ (2 − 0) = 1
Molecular orbital diagram of H2 molecule
He2 bond order = 0
Molecular orbital diagram of He2 molecule
MO energy levels for
O2, F2, and Ne2
without 2s-2p mixing
MO energy levels
for B2, C2 and N2
with 2s-2p mixing
Relative MO energy levels for homonuclear diatomic molecules
The MO diagram for HF and NO
Coordinate Covalent Bonding
A coordinate bond (also called a dative covalent bond) is a covalent
bond (a shared pair of electrons) in which both electrons come from the
same atom.
 Atom that shares an electron pair from itself is termed as the donor.
 The other atom which accepts these shared pair of electrons is known as a receptor
or acceptor.
 The bond is represented with an arrow →, pointing towards acceptor from the donor
atom.
 After sharing of electron pair each atom gets stability.
Van der Waals Attraction Force
• Van der Waals forces are weak intermolecular forces
that are dependent on the distance between atoms or
molecules.
• These forces arise from the interactions between
uncharged atoms/molecules.
• These forces are significantly weaker than ionic and
covalent bonds.
• Van der Waals forces are short-range forces. Their
magnitude is high when the atoms/molecules in
question are close to each other.
• No directional characteristic can be attributed to these
forces.
• Increases with molecular mass.
Hydrogen Bonding
 A special class of intermolecular attraction force that arise due to the dipole-dipole
interaction between a hydrogen atom that is bonded to a highly electronegative atom
and another highly electronegative atom while lies in the vicinity of the hydrogen
atom.
Hydrogen Bonding
Features of Hydrogen bonding
 The molecule must contain a highly electronegative atom linked to hydrogen atom.
 The size of the electronegative atom should be small.
 Only F, O and N are capable of forming hydrogen bonding.
 Molecules having hydrogen bonding have high melting and boiling points. Example:
H2O, H2S; NH3, PH3
 Density of ice is lower than water due to cage-like structure of water in solid ice.
Metallic Bonding
 Is the force, that holds atoms together in a metallic substance.
 The outermost electron shell of each of the metal atoms overlaps with a large number
of neighbouring atoms.
 As a consequence, the valence electrons continually move from one atom to another,
and not associated with any specific pair of atoms.
 In short, unlike covalently bonded substances, the valence electrons are not
localized, and capable of wandering relatively freely throughout the entire crystal.
The strength depends on –
- Total number of delocalized electrons
- Ionic radius of the cation
Thank You

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Chemical Bonding - Dr. Mahbub.pptx

  • 1. Chemical Bonding Dr. Md. Mahbub Alam Department of Chemistry BUET, Dhaka-1000 The contents of this presentation is made to give a brief idea about the topic, details will be discussed in the classes. Contents have been collected from multiple textbooks and internet.
  • 2.  A Chemical bond is a force of attraction between atoms or ions.  Atoms or ions are held together in molecules or compounds by chemical bonds.  All chemical reactions involve breaking of some bonds and formation of new ones which yield new products with different properties. Chemical Bonding Why do atoms form chemical bonds?  To achieve a stable valence shell electron configuration of inert gases
  • 3. Types of Chemical Bonding  Ionic bonding - involves the transfer of electrons and is usually observed when a metal bonds to a nonmetal.  Covalent bonding - involves the sharing of electrons and is usually observed when a nonmetal bonds to a nonmetal.  Metallic bonding - involves electron pooling and occurs when a metal bonds to another metal. More bonds: Co-ordination covalent bond, Hydrogen bond
  • 5.  An ionic bond is formed when a metal transfers electrons to a nonmetal to form ions, which attract each other to give a solid compound.  The total number of electrons lost by the metal atom(s) equals the total number of electrons gained by the nonmetal atoms. Ionic Bonding
  • 6. Orbital diagrams Lewis electron-dot symbols Formation of ionic bonding between Li and F – through e- configuration Electron configurations Li 1s22s1 + F 1s22p5 → Li+ 1s2 + F- 1s22s22p6 Li ↑↓ 1s 2p ↑ 2s ↑↓ ↑↓ 1s 2p ↑↓ 2s ↑↓ ↑ F + ↑↓ 1s 2p 2s Li+ ↑↓ 1s 2p ↑↓ 2s ↑↓ ↑↓ ↑↓ F- Li• F •• • •• •• Li+ + F •• •• •• •• - Ionic Bonding
  • 7. Na 3p ↑ 3s 2p 2s ↑↓ ↑ ↑ ↑↓ O Na 3p ↑ 3s + 2Na+ + O2- 2p 2s ↑↓ ↑↓ ↑↓ ↑↓ 2Na+ + •• •• •• •• 2- O Na• • •• O •• • Na• Formation of Na2O Ionic Bonding
  • 8. Ionic Bonding - Features  Metal to nonmetal.  Metal loses electrons to form cation.  Nonmetal gains electrons to form anion.  The electronegativity between the metal and the nonmetal must be greater than 2.  Ionic bond results from + to − attraction.  Larger charge = stronger attraction.  Smaller ion = stronger attraction.
  • 9.  Ionic compounds tend to be hard, rigid, and brittle, with high melting points and boiling points.  Ionic compounds do not conduct electricity in the solid state.  In the solid state, the ions are fixed in place in the lattice and do not move.  Ionic compounds conduct electricity when melted or dissolved.  In the liquid state or in solution, the ions are free to move and carry a current. Properties of Ionic Compounds
  • 11. Solid ionic compound Molten ionic compound Ionic compound dissolved in water Electrical Conductance and Ion Mobility
  • 12.  Atoms share electrons to achieve a full outer level of electrons. The shared electrons are called a shared pair or bonding pair.  Often found between two nonmetals.  Typical of molecular species.  Atoms bonded together to form molecules.  The shared pair is represented as a pair of dots or a line: Covalent Bonding H •• H or H–H
  • 14. Distribution of electron density in H2. At some distance (bond length), attractions balance repulsions. Electron density is high around and between the nuclei. Covalent Bonding
  • 15. The bond order is the number of electron pairs being shared by a given pair of atoms. A single bond consists of one bonding pair and has a bond order of 1. The bond energy (BE) is the energy needed to overcome the attraction between the nuclei and the shared electrons. The stronger the bond the higher the bond energy. The bond length is the distance between the nuclei of the bonded atoms. Covalent Bonding
  • 16. For a given pair of atoms, a higher bond order results in a shorter bond length and higher bond energy. For a given pair of atoms, a shorter bond is a stronger bond. Bond length increases down a group in the periodic table and decreases across the period. Bond energy shows the opposite trend. Covalent Bonding
  • 17. Table Average Bond Energies (kJ/mol) and Bond Lengths (pm) Covalent Bonding
  • 18.  A covalent bond in which the shared electron pair is not shared equally, but remains closer to one atom than the other, is a polar covalent bond.  The ability of an atom in a covalent bond to attract the shared electron pair is called its electronegativity.  Unequal sharing of electrons causes the more electronegative atom of the bond to be partially negative and the less electronegative atom to be partially positive. Electronegativity and Bond Polarity
  • 19. The unequal sharing of electrons can be depicted by a polar arrow. The head of the arrow points to the more electronegative element. A polar bond can also be marked using δ+ and δ- symbols. Electronegativity and Bond Polarity
  • 20. Electron density distributions in H2, F2, and HF In HF, the electron density shifts from H to F. The H–F bond has partial ionic character. Electronegativity and Bond Polarity
  • 21. Lewis structures are representations of molecules showing all valence electrons, bonding and nonbonding. Lines correspond to 2 electrons in bond 21 Lewis Structures
  • 22. 22 Drawing Lewis Structures A way to keep track of those valence electrons PCl3 5 + 3(7) = 26 1. Find the sum of valence electrons of all atoms in the polyatomic ion or molecule. • If it is an anion, add one electron for each negative charge. • If it is a cation, subtract one electron for each positive charge. 2. The central atom is the least electronegative element. Connect the outer atoms to it by single bonds. Keep track of the electrons: 26  6 = 20
  • 23. 23 Drawing Lewis Structures 3. Put eight electrons around the outer atoms (“fill their octet”) Keep track of the electrons: 26  6 = 20  18 = 2 4. Fill the octet of the central atom. Keep track of the electrons: 26  6 = 20  18 = 2  2 = 0
  • 24. Drawing Lewis Structures 5. If you run out of electrons before the central atom has an octet, form multiple bonds until it does.
  • 25. Resonance Lets draw the Lewis structure for ozone, O3. But why should one O be different from the other? In actual structure of O3 …both O—O bonds are the same length. …both outer oxygens have a charge of 1/2.
  • 26. Resonance • One Lewis structure cannot accurately depict a molecule such as ozone. • We use multiple structures, resonance structures, to describe the molecule. • Resonance structure of NO3 -
  • 27. Resonance Exceptions to the Octet Rule • There are three types of ions or molecules that do not follow the octet rule: • Ions or molecules with an odd number of electrons. • Ions or molecules with less than an octet. • Ions or molecules with more than eight valence electrons (an expanded octet). .. .. N O .. .
  • 28. Theories of Covalent Bonding 1. Valence Bond Theory (VBT) The basic principle of VB theory:  A covalent bond forms when the orbitals of two atoms overlap and a pair of electrons occupy the overlap region.  The space formed by the overlapping orbitals can accommodate a maximum of two electrons and these electrons must have opposite (paired) spins.  The greater the orbital overlap, the stronger the bond. Extent of orbital overlap depends on orbital shape and direction.  The orbitals that form when bonding occurs are different from the atomic orbitals in the isolated atoms.
  • 29. Orbital orientation and maximum overlap. Valence Bond Theory
  • 30. Hybridization  Mixing of different types of atomic orbitals to form a uniform set of hybrid orbitals.  The energy of the hybrid orbitals are different than the atomic orbitals.  The number of hybrid orbitals formed equals the number of atomic orbitals mixed.  The type of hybrid orbitals formed varies with the types of atomic orbitals mixed.  The shape and orientation of a hybrid orbital maximizes overlap with the other atom in the bond. Valence Bond Theory
  • 31. Formation and orientation of sp hybrid orbitals and the bonding in BeCl2. atomic orbitals hybrid orbitals One 2s and one 2p atomic orbital mix to form two sp hybrid orbitals. Hybridization box diagram with orbital contours Overlap of Be and Cl orbitals to form BeCl2.
  • 32. The sp2 hybrid orbitals in BF3 Hybridization  Mixing one s and two p orbitals gives three sp2 hybrid orbitals. The third 2p orbital remains unhybridized.  The three sp2 orbitals point to the corners of an equilateral triangle, their axes 120° apart.  Each half-filled sp2 orbital overlaps with the half- filled 2p orbital of a F atom.
  • 33. The sp3 hybrid orbitals in CH4 Hybridization The four sp3 orbitals adopt a tetrahedral shape
  • 34. The N lone pair occupies an sp3 hybrid orbital, giving a trigonal pyramidal shape. The sp3 hybrid orbitals in NH3 Hybridization
  • 35. The O lone pairs occupy sp3 hybrid orbitals, giving a bent shape. The sp3 hybrid orbitals in H2O Hybridization
  • 36. The formation of more than four bonding orbitals requires d orbital involvement in hybridization. The sp3d hybrid orbitals in PCl5 Hybridization
  • 37. The sp3d2 hybrid orbitals in SF6 Hybridization
  • 38. Table 11.1 Composition and Orientation of Hybrid Orbitals Linear Trigonal Planar Tetrahedral Trigonal Bipyramidal Octahedral Atomic orbitals mixed one s one p one s two p one s three p one s three p one d one s three p two d Hybrid orbitals formed two sp three sp2 four sp3 five sp3d six sp3d2 Unhybridized orbitals remaining two p one p none four d three d Orientation
  • 39. Types of Covalent Bonds  Sigma (σ) bond when the bonding orbitals point along the axis connecting the two bonding nuclei, by head to head overlapping • either standard atomic orbitals or hybrids • s-to-s, p-to-p, hybrid-to-hybrid, s-to-hybrid, etc. • All single bonds are σ bonds  Pi (p) bond • when the bonding orbitals are parallel to each other and perpendicular to the axis connecting the two bonding nuclei, by sideways overlapping • between unhybridized parallel p orbitals σ bonds A p bond is weaker than a σ bond because sideways overlap is less effective than end-to-end overlap π bonds
  • 40. The σ bonds in ethane (C2H6). both C atoms are sp3 hybridized s bond formed by s-sp3 head-to-head overlapping Head-to-head sp3-sp3 overlapping to form a s bond Types of Covalent Bonds
  • 41. The s and p bonds in ethylene (C2H4). A p bond has two regions of electron density. unhybridized 2p orbitals Types of Covalent Bonds
  • 42. Each C is sp hybridized and has two unhybridized p orbitals. The s and p bonds in acetylene (C2H2). Types of Covalent Bonds
  • 43. Predicting the Shapes of Molecules: VSEPR Theory Valence Shell Electron Pair Repulsion Theory • In order to limit electrostatic repulsion, electron pairs in the orbitals around the central atom stay as far apart as possible Five basic molecular shapes The number of electron pairs around the central atom determine molecular geometry....  2 bonding pairs  linear (Bond angle = 180 o )  3 bonding pairs  planar triangle (Bond angle = 120 o )  4 bonding pairs  tetrahedral (Bond angle = 109.5o )  5 bonding pairs  trigonal bipyramidal  (Bond angles = 90 o and 120 o )  6 bonding pairs  octahedral (Bond angle = 90 o )
  • 44. Predicting the Shapes of Molecules: VSEPR Theory
  • 45. Predicting the Shapes of Molecules: VSEPR Theory
  • 46. Predicting the Shapes of Molecules: VSEPR Theory
  • 47. Predicting the Shapes of Molecules: VSEPR Theory
  • 48. 2. Molecular Orbital (MO) Theory The combination of orbitals to form bonds is viewed as the combination of wave functions. Atomic wave functions (AOs) combine to form molecular wave functions (MOs). Addition of AOs forms a bonding MO, which has a region of high electron density between the nuclei. Subtraction of AOs forms an antibonding MO, which has a node, or region of zero electron density, between the nuclei. Amplitudes of wave functions added Amplitudes of wave functions subtracted
  • 49.  An atomic orbital is an electron wave; the waves of the two atomic orbitals may be in phase or out of phase. Suppose ΨA and ΨB represent the amplitude of the electron wave of the atomic orbitals of the two atoms A and B.  Case 1 – Bonding MO: When the two waves are in phase so that they add up and amplitude of the wave is Φ = ΨA + ΨB  Case 2 – Antibonding MO: when the two waves are out of phase, the waves are subtracted from each other so that the amplitude of the new wave is Φ´ = ΨA – ΨB Formation of Molecular Orbitals
  • 50.  The probability of finding the electron in the internuclear region of the bonding molecular orbital is greater than that of combining atomic orbitals.  The electrons present in the bonding molecular orbital result in the attraction between the two atoms.  The bonding molecular orbital has lower energy as a result of attraction and hence has greater stability than that of the combining atomic orbitals.  They are formed by the additive effect of the atomic orbitals so that the amplitude of the new wave is given by Φ= ΨA + ΨB  They are represented by σ, π, and δ Characteristics of Bonding Molecular Orbitals
  • 51.  The probability of finding the electron in the internuclear region decreases in the anti-bonding molecular orbitals.  The electrons present in the anti-bonding molecular orbital result in the repulsion between the two atoms.  The anti-bonding molecular orbitals have higher energy because of the repulsive forces and lower stability.  They are formed by the subtractive effect of the atomic orbitals. The amplitude of the new wave is given by Φ´ = ΨA – ΨB  They are represented by σ∗, π∗, δ∗ Characteristics of Bonding Molecular Orbitals
  • 52.  The energy levels of bonding molecular orbitals are always lower than those of anti-bonding molecular orbitals.  This is because the electrons in the orbital are attracted by the nuclei in the case of bonding Molecular Orbitals whereas the nuclei repel each other in the case of the anti-bonding Molecular Orbitals. Why are Antibonding Orbitals Higher in Energy?  Aufbau’s principle: Molecular orbitals are filled in the increasing order of energy levels.  Pauli’s exclusion principle: In an atom or a molecule, no two electrons can have the same set of four quantum numbers.  Hund’s rule of maximum multiplicity: Pairing of electrons doesn’t take place until all the atomic or molecular orbitals are singly occupied. According to the Molecular Orbital Theory, the filling of orbitals takes place according to the following rules:
  • 53.  A MO diagram, just like an atomic orbital diagram, shows the relative energy and number of electrons in each MO.  The MO diagram also shows the AOs from which each MO is formed.  Bond order is calculated as follows: ½[(no. of e– in bonding MO) – (no. of e– in antibonding MO)] 2. Molecular Orbital (MO) Theory
  • 54. The bonding MO is lower in energy and the antibonding MO is higher in energy than the AOs that combined to form them. Contours and energies of bonding and antibonding MOs of H2
  • 55. H2 bond order = ½ (2 − 0) = 1 Molecular orbital diagram of H2 molecule
  • 56. He2 bond order = 0 Molecular orbital diagram of He2 molecule
  • 57. MO energy levels for O2, F2, and Ne2 without 2s-2p mixing MO energy levels for B2, C2 and N2 with 2s-2p mixing Relative MO energy levels for homonuclear diatomic molecules
  • 58. The MO diagram for HF and NO
  • 59. Coordinate Covalent Bonding A coordinate bond (also called a dative covalent bond) is a covalent bond (a shared pair of electrons) in which both electrons come from the same atom.  Atom that shares an electron pair from itself is termed as the donor.  The other atom which accepts these shared pair of electrons is known as a receptor or acceptor.  The bond is represented with an arrow →, pointing towards acceptor from the donor atom.  After sharing of electron pair each atom gets stability.
  • 60. Van der Waals Attraction Force • Van der Waals forces are weak intermolecular forces that are dependent on the distance between atoms or molecules. • These forces arise from the interactions between uncharged atoms/molecules. • These forces are significantly weaker than ionic and covalent bonds. • Van der Waals forces are short-range forces. Their magnitude is high when the atoms/molecules in question are close to each other. • No directional characteristic can be attributed to these forces. • Increases with molecular mass.
  • 61. Hydrogen Bonding  A special class of intermolecular attraction force that arise due to the dipole-dipole interaction between a hydrogen atom that is bonded to a highly electronegative atom and another highly electronegative atom while lies in the vicinity of the hydrogen atom.
  • 62. Hydrogen Bonding Features of Hydrogen bonding  The molecule must contain a highly electronegative atom linked to hydrogen atom.  The size of the electronegative atom should be small.  Only F, O and N are capable of forming hydrogen bonding.  Molecules having hydrogen bonding have high melting and boiling points. Example: H2O, H2S; NH3, PH3  Density of ice is lower than water due to cage-like structure of water in solid ice.
  • 63. Metallic Bonding  Is the force, that holds atoms together in a metallic substance.  The outermost electron shell of each of the metal atoms overlaps with a large number of neighbouring atoms.  As a consequence, the valence electrons continually move from one atom to another, and not associated with any specific pair of atoms.  In short, unlike covalently bonded substances, the valence electrons are not localized, and capable of wandering relatively freely throughout the entire crystal. The strength depends on – - Total number of delocalized electrons - Ionic radius of the cation