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• Distinguish between the different types of molecular bonds
•
Determine the dissociation energy of a molecule using the
concepts ionization energy, electron affinity, and Coulomb
force
•
Describe covalent bonding in terms of exchange symmetry
• Why water molecules exist?
• Why the bonding angle between hydrogen atoms in this
molecule is precisely 104.5° ?
•
Why these molecules bind together to form liquid water at
room temperature?
As we study molecules and then solids, we will use many
different scientific models. In some cases, we look at a
molecule or crystal as a set of point nuclei with electrons
whizzing around the outside in well-defined trajectories, as in
the Bohr model. In other cases, we employ our full knowledge
of quantum mechanics to study these systems using wave
functions and the concept of electron spin. It is important to
remember that we study modern physics with models, and
that different models are useful for different purposes. We do
not always use the most powerful model, when a less-
powerful, easier-to use model will do the job.
Ionic bonds
The ionic bond is perhaps the easiest type of bonding to
understand. It explains the formation of salt compounds,
such as sodium chloride, NaCl. The sodium atom (symbol
Na) has the same electron arrangement as a neon atom plus
one 3s electron. Only 5.14 eV of energy is required to
remove this one electron from the sodium atom. Therefore,
Na can easily give up or donate this electron to an adjacent
(nearby) atom, attaining a more stable arrangement of
electrons
Chlorine (symbol Cl) requires just one electron to complete
its valence shell, so it readily accepts this electron if it is
near the sodium atom. We therefore say that chlorine has a
large electron affinity, which is the energy associated with
an accepted electron. The energy given up by the chlorine
atom in this process is 3.62 eV. After the electron transfers
from the sodium atom to the chlorine atom, the sodium atom
becomes a positive ion and the chlorine atom becomes a
negative ion. The total energy required for this transfer is
given by
The positive sodium ion and negative chloride ion experience an attractive
Coulomb force. The potential energy associated with this force is given by
As the sodium and chloride ions move together (“descend the potential energy hill”),
the force of attraction between the ions becomes stronger. However, if the ions
become too close, core-electron wave functions in the two ions begin to overlap.
Due to the exclusion principle, this action promotes the core electrons—and
therefore the entire molecule—into a higher energy state. The equilibrium
separation distance (or bond length) between the ions occurs when the molecule
is in its lowest energy state. For diatomic NaCl, this distance is 0.236 nm. Figure
shows the total energy of NaCl as a function of the distance of separation between
ions.
where Uex is the energy associated with the repulsion between core
electrons due to Pauli’s exclusion principle. The value of Uform must
be negative for the bond to form spontaneously. The dissociation
energy is defined as the energy required to separate the unit into its
constituent ions, written
For a sodium ion in an ionic NaCl crystal, the expression for
Coulomb potential energy Ucoul must be modified by a factor
known as the Madelung constant. This factor takes into
account the interaction of the sodium ion with all nearby
chloride and sodium ions. The Madelung constant for a NaCl
crystal is about 1.75
Covalent bonds
In an ionic bond, an electron transfers from one atom to another.
However, in a covalent bond, an electron is shared between two
atoms. The ionic bonding mechanism cannot explain the existence
of such molecules as H2 , O2, and CO, since no separation distance
exists for which the negative potential energy of attraction is greater
in magnitude than the energy needed to create ions

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Types of bonds

  • 1.
  • 2. • Distinguish between the different types of molecular bonds • Determine the dissociation energy of a molecule using the concepts ionization energy, electron affinity, and Coulomb force • Describe covalent bonding in terms of exchange symmetry
  • 3. • Why water molecules exist? • Why the bonding angle between hydrogen atoms in this molecule is precisely 104.5° ? • Why these molecules bind together to form liquid water at room temperature?
  • 4. As we study molecules and then solids, we will use many different scientific models. In some cases, we look at a molecule or crystal as a set of point nuclei with electrons whizzing around the outside in well-defined trajectories, as in the Bohr model. In other cases, we employ our full knowledge of quantum mechanics to study these systems using wave functions and the concept of electron spin. It is important to remember that we study modern physics with models, and that different models are useful for different purposes. We do not always use the most powerful model, when a less- powerful, easier-to use model will do the job.
  • 5.
  • 6. Ionic bonds The ionic bond is perhaps the easiest type of bonding to understand. It explains the formation of salt compounds, such as sodium chloride, NaCl. The sodium atom (symbol Na) has the same electron arrangement as a neon atom plus one 3s electron. Only 5.14 eV of energy is required to remove this one electron from the sodium atom. Therefore, Na can easily give up or donate this electron to an adjacent (nearby) atom, attaining a more stable arrangement of electrons
  • 7. Chlorine (symbol Cl) requires just one electron to complete its valence shell, so it readily accepts this electron if it is near the sodium atom. We therefore say that chlorine has a large electron affinity, which is the energy associated with an accepted electron. The energy given up by the chlorine atom in this process is 3.62 eV. After the electron transfers from the sodium atom to the chlorine atom, the sodium atom becomes a positive ion and the chlorine atom becomes a negative ion. The total energy required for this transfer is given by
  • 8. The positive sodium ion and negative chloride ion experience an attractive Coulomb force. The potential energy associated with this force is given by
  • 9.
  • 10. As the sodium and chloride ions move together (“descend the potential energy hill”), the force of attraction between the ions becomes stronger. However, if the ions become too close, core-electron wave functions in the two ions begin to overlap. Due to the exclusion principle, this action promotes the core electrons—and therefore the entire molecule—into a higher energy state. The equilibrium separation distance (or bond length) between the ions occurs when the molecule is in its lowest energy state. For diatomic NaCl, this distance is 0.236 nm. Figure shows the total energy of NaCl as a function of the distance of separation between ions.
  • 11. where Uex is the energy associated with the repulsion between core electrons due to Pauli’s exclusion principle. The value of Uform must be negative for the bond to form spontaneously. The dissociation energy is defined as the energy required to separate the unit into its constituent ions, written
  • 12.
  • 13.
  • 14. For a sodium ion in an ionic NaCl crystal, the expression for Coulomb potential energy Ucoul must be modified by a factor known as the Madelung constant. This factor takes into account the interaction of the sodium ion with all nearby chloride and sodium ions. The Madelung constant for a NaCl crystal is about 1.75
  • 15. Covalent bonds In an ionic bond, an electron transfers from one atom to another. However, in a covalent bond, an electron is shared between two atoms. The ionic bonding mechanism cannot explain the existence of such molecules as H2 , O2, and CO, since no separation distance exists for which the negative potential energy of attraction is greater in magnitude than the energy needed to create ions