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Detailed study of the covalent bond theories: (a) The nature of the
covalent bonding: wave mechanical principle, valence bond theory
(VBT) of hydrogen molecule, hybridization, VBT description using
hybrid orbitals, resonance. (b) Molecular orbital theory (MOT) of
homo-and hetero-diatomic molecules, HOMO and LUMO, molecular
orbitals of polyatomic molecules with σ and π-bonding, the ligand
group orbital approach, comparison of VBT and MOT.
Chapter topics:
James E.Huhee
J D. Lee
TYPES OF BONDS
Atoms may attain a stable electronic configuration in three
different ways:
by losing electrons, by gaining electrons, or by sharing electrons.
Elements may be divided into:
I. Electropositive elements, whose atoms give up one or more
electrons
fairly readily.
2. electronegative elements. which will accept electrons.
3. Elements which have little tendency to Jose or gain electrons.
Three different types of bond may be formed, depending on the
electropositive or electronegative character of the atoms involved.
If the three extreme bond
types are placed at the
corners of a triangle, then
compounds with bonds
predominantly of one type
will be represented as points
near the corners. Compounds
with bonds intermediate
between two types will occur
along an edge of the triangle,
whilst compounds with
bonds showing some
characteristics of all three
types are shown as points
inside the triangle.
This theory was proposed by Linus Pauling, who was awarded
the Nobel Prize for Chemistry in 1954. The theory was very
widely used in the period 1940-1960. Since then it. has to some
extent fallen out of fashion. However, it is still much used by
organic chemists, and it provides a basis for simple description
of small inorganic molecules.
Atoms with unpaired electrons tend to combine with other atoms
which also have unpaired electrons. In this way the unpaired
electrons are paired up, and the atoms involved all attain a stable
electronic arrangement. This is usually a full shell of electrons (i.e. a
noble gas configuration). Two electrons shared between two atoms
constitute a bond. The number of bond is formed by an atom is
usually the same as the number of unpaired electrons in the ground
state, i.e. the lowest energy state. However, in some cases the atom
may form more bonds than this. This occurs by excitation of the atom
(i.e. providing it with energy) when electrons which were paired in
the ground state are unpaired and promoted into suitable empty
orbitals. This increases the number of unpaired electrons, and hence
the number of bonds which can be formed.
Singlet?
Or triplet
The shape of the molecule is determined primarily by the
directions in which the orbitals point. Electrons in the valence shell
of the original atom which are paired are called lone pairs.
Examples
1. In HF, H has a singly occupied s orbital that overlaps with a
singly filled 2p orbital on F.
2. In H2O, the O atom has two singly filled 2p orbitals, each of
which overlaps with a singly occupied s orbital from two H atoms.
3. In NH3 , there are three singly occupied p orbitals on N which
overlap with s orbitals from three H atoms
Discrepancy in CH4 led to the concept of
Hybridization
In 1916, G. N. Lewis proposed that a chemical bond forms by the
interaction of two shared bonding electrons, with the
representation of molecules as Lewis structures. In 1927 the
Heitler–London theory was formulated which for the first time
enabled the calculation of bonding properties of the hydrogen
molecule H2 based on quantum mechanical considerations.
Specifically, Walter Heitler determined how to use Schrödinger's
wave equation (1926) to show how two hydrogen atom wave
functions join together, with plus, minus, and exchange terms, to
form a covalent bond. He then called up his associate Fritz London
and they worked out the details of the theory over the course of
the night.[2]
Later, Linus Pauling used the pair bonding ideas of Lewis together
with Heitler–London theory to develop two other key concepts in
VB theory: resonance (1928) and orbital hybridization (1930).
According to Charles Coulson, author of the noted 1952 book
Valence, this period marks the start of "modern valence bond
theory", as contrasted with older valence bond theories, which are
essentially electronic theories of valence couched in pre-wave-
(VB) theory is one of two basic theories, along with molecular orbital
(MO) theory, that were developed to use the methods of quantum
mechanics to explain chemical bonding. It focuses on how the atomic
orbitals of the dissociated atoms combine to give individual chemical
bonds when a molecule is formed. In contrast, molecular orbital theory,
which will be discussed elsewhere, predict wave functions that cover the
entire molecule.
The simplest case to consider is the hydrogen molecule, H2. When we say that the
two hydrogen
nuclei share their electrons to form a covalent bond, what we mean in VB theory
terms
is that the two spherical 1s orbitals (the grey spheres in Figure 12.2.1) overlap
and contain
two electrons.
Source: https://chem.libretexts.org/Bookshelves/
Physical_and_Theoretical_Chemistry_Textbook_Maps/
Map%3A_Physical_Chemistry_for_the_Biosciences_(Chang)/12%3A_The_Chemical_Bond/
12.2%3A_Valence_Bond_Theory
2. Inorganic Chemistry, James E. Huheey
simpl
e
indistinguishability
Electron
shielding
Covalent –ionic character
Repulsive interaction
experimental
Rule no 1
Rule no 2
Rule no 3
Rule no 4
Wave functions for two sp hybrid
orbitals
sp
2
sp
3
MOED for O2
Why He2 molecule does not exit?
Existence of He2
+
ionic species
Li2 molecule exist but Be2 does not exist-why
For N2 and heavier
elements
For lighter elements
B and C
What is degeneracy?
Orbitals of similar
energy
MOED for Li2
MOED for B2
HOMO
LUMO
FM
O
Boron is
paramagnetic
MOED for N2 molecule
Why N2 is so stable and
activation is challenging
Superoxide
Paramagnetic
HOMODINUCLEAR HETEROBINUCLEAR
Same MOED for NO
and NO+
Bond order NO=2.5
Bond order NO+
= 3.0
Interesting facts about CO+
the order of energy for the MOs is the same as for atoms
heavier than C,
since this only reverses the position of the a2px and the (n2py
and n2pz)
MOs. The most likely explanation of the bond shortening when
CO is
changed to co+ is that the a2s and a*2s molecular orbitals differ
in
energy more than is shown in the figure. This means that they
are wider
apart, and the o*2s MO is higher in energy than the o2px, n2py
and x2pz
MOs. This illustrates very plainly that the order of MO energy
levels for
simple homonuclear diatomic molecules used above is not
automatically
applicable when two different types of atoms are bonded
together, and it is
cer~ainly incorrect in · this particular heteronuclear case.
-
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf
Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf

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Chapter 2 - Detailed Study of The Covalent Bond Theories.pdf

  • 1. Detailed study of the covalent bond theories: (a) The nature of the covalent bonding: wave mechanical principle, valence bond theory (VBT) of hydrogen molecule, hybridization, VBT description using hybrid orbitals, resonance. (b) Molecular orbital theory (MOT) of homo-and hetero-diatomic molecules, HOMO and LUMO, molecular orbitals of polyatomic molecules with σ and π-bonding, the ligand group orbital approach, comparison of VBT and MOT. Chapter topics: James E.Huhee J D. Lee
  • 2. TYPES OF BONDS Atoms may attain a stable electronic configuration in three different ways: by losing electrons, by gaining electrons, or by sharing electrons. Elements may be divided into: I. Electropositive elements, whose atoms give up one or more electrons fairly readily. 2. electronegative elements. which will accept electrons. 3. Elements which have little tendency to Jose or gain electrons. Three different types of bond may be formed, depending on the electropositive or electronegative character of the atoms involved.
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  • 4. If the three extreme bond types are placed at the corners of a triangle, then compounds with bonds predominantly of one type will be represented as points near the corners. Compounds with bonds intermediate between two types will occur along an edge of the triangle, whilst compounds with bonds showing some characteristics of all three types are shown as points inside the triangle.
  • 5. This theory was proposed by Linus Pauling, who was awarded the Nobel Prize for Chemistry in 1954. The theory was very widely used in the period 1940-1960. Since then it. has to some extent fallen out of fashion. However, it is still much used by organic chemists, and it provides a basis for simple description of small inorganic molecules. Atoms with unpaired electrons tend to combine with other atoms which also have unpaired electrons. In this way the unpaired electrons are paired up, and the atoms involved all attain a stable electronic arrangement. This is usually a full shell of electrons (i.e. a noble gas configuration). Two electrons shared between two atoms constitute a bond. The number of bond is formed by an atom is usually the same as the number of unpaired electrons in the ground state, i.e. the lowest energy state. However, in some cases the atom may form more bonds than this. This occurs by excitation of the atom (i.e. providing it with energy) when electrons which were paired in the ground state are unpaired and promoted into suitable empty orbitals. This increases the number of unpaired electrons, and hence the number of bonds which can be formed.
  • 7. The shape of the molecule is determined primarily by the directions in which the orbitals point. Electrons in the valence shell of the original atom which are paired are called lone pairs. Examples 1. In HF, H has a singly occupied s orbital that overlaps with a singly filled 2p orbital on F. 2. In H2O, the O atom has two singly filled 2p orbitals, each of which overlaps with a singly occupied s orbital from two H atoms. 3. In NH3 , there are three singly occupied p orbitals on N which overlap with s orbitals from three H atoms Discrepancy in CH4 led to the concept of Hybridization
  • 8. In 1916, G. N. Lewis proposed that a chemical bond forms by the interaction of two shared bonding electrons, with the representation of molecules as Lewis structures. In 1927 the Heitler–London theory was formulated which for the first time enabled the calculation of bonding properties of the hydrogen molecule H2 based on quantum mechanical considerations. Specifically, Walter Heitler determined how to use Schrödinger's wave equation (1926) to show how two hydrogen atom wave functions join together, with plus, minus, and exchange terms, to form a covalent bond. He then called up his associate Fritz London and they worked out the details of the theory over the course of the night.[2] Later, Linus Pauling used the pair bonding ideas of Lewis together with Heitler–London theory to develop two other key concepts in VB theory: resonance (1928) and orbital hybridization (1930). According to Charles Coulson, author of the noted 1952 book Valence, this period marks the start of "modern valence bond theory", as contrasted with older valence bond theories, which are essentially electronic theories of valence couched in pre-wave-
  • 9. (VB) theory is one of two basic theories, along with molecular orbital (MO) theory, that were developed to use the methods of quantum mechanics to explain chemical bonding. It focuses on how the atomic orbitals of the dissociated atoms combine to give individual chemical bonds when a molecule is formed. In contrast, molecular orbital theory, which will be discussed elsewhere, predict wave functions that cover the entire molecule. The simplest case to consider is the hydrogen molecule, H2. When we say that the two hydrogen nuclei share their electrons to form a covalent bond, what we mean in VB theory terms is that the two spherical 1s orbitals (the grey spheres in Figure 12.2.1) overlap and contain two electrons. Source: https://chem.libretexts.org/Bookshelves/ Physical_and_Theoretical_Chemistry_Textbook_Maps/ Map%3A_Physical_Chemistry_for_the_Biosciences_(Chang)/12%3A_The_Chemical_Bond/ 12.2%3A_Valence_Bond_Theory 2. Inorganic Chemistry, James E. Huheey
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  • 27. Wave functions for two sp hybrid orbitals
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  • 58. Why He2 molecule does not exit?
  • 60. Li2 molecule exist but Be2 does not exist-why
  • 61. For N2 and heavier elements For lighter elements B and C What is degeneracy? Orbitals of similar energy
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  • 65. MOED for N2 molecule Why N2 is so stable and activation is challenging
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  • 72. Same MOED for NO and NO+ Bond order NO=2.5 Bond order NO+ = 3.0
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  • 74. Interesting facts about CO+ the order of energy for the MOs is the same as for atoms heavier than C, since this only reverses the position of the a2px and the (n2py and n2pz) MOs. The most likely explanation of the bond shortening when CO is changed to co+ is that the a2s and a*2s molecular orbitals differ in energy more than is shown in the figure. This means that they are wider apart, and the o*2s MO is higher in energy than the o2px, n2py and x2pz MOs. This illustrates very plainly that the order of MO energy levels for simple homonuclear diatomic molecules used above is not automatically applicable when two different types of atoms are bonded together, and it is cer~ainly incorrect in · this particular heteronuclear case.
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