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What kind of forces hold the atoms together in a solid? 
We can classify solids according to the 
nature of bonding and energies of 
Interactions Between Atoms: 
 Ionic bonding 
 NaCl 
 Covalent bonding 
 Comparison of ionic and covalent bonding 
 Metallic bonding 
 Van der waals bonding 
 Hydrogen bonding 
1
General Considerations 
 There must be an attractive force 
 An apparent candidate is the Coulomb Force 
q q 
1 2 
2 
1 
0 4 
r 
F 
 
  
 Here r is a distance between atoms (ions) forming a solid 
 What stops atoms (ions) from getting closer than they 
do? 
 When ions are very close to each other, other forces arise. 
These are the so-called short-range repulsive forces, due 
to rearrangement of electrons as nuclei approach 
 Equilibrium distance, r0, is point at which energy is at 
a minimum, forces are balanced 
2
General Considerations 
3
Energies of Interactions Between Atoms 
 The energy of the crystal is lower than that of 
the free atoms by an amount equal to the 
energy required to pull the crystal apart into a 
set of free atoms. This is called the binding 
(cohesive) energy of the crystal. 
 NaCl is more stable than a collection of free Na 
and Cl. 
 Ge crystal is more stable than a collection of free 
Ge. 
Cl Na NaCl 
4
Types of Bonding Mechanisms 
It is conventional to classify the bonds between 
atoms into different types as 
 Ionic 
 Covalent 
 Metallic 
 Van der Waals 
 Hydrogen 
All bonding is a consequence of the electrostatic 
interaction between the nuclei and electrons. 
5
IONIC BONDING 
 Ionic bonding is the electrostatic force of 
attraction between positively and negatively 
charged ions (between non-metals and metals). 
 All ionic compounds are crystalline solids at room 
temperature. 
 NaCl is a typical example of ionic bonding. 
6
Metallic elements have only up to the valence electrons 
in their outer shell. 
When losing their electrons they become positive ions. 
Electronegative elements tend to acquire additional 
electrons to become negative ions or anions. 
Na Cl 
7
 When the Na+ and Cl- ions approach each other 
closely enough so that the orbits of the electron 
in the ions begin to overlap with each other, 
then the electron begins to repel each other by 
virtue of the repulsive electrostatic coulomb 
force. Of course the closer together the ions 
are, the greater the repulsive force. 
 Pauli exclusion principle has an important role 
in repulsive force. To prevent a violation of the 
exclusion principle, the potential energy of the 
system increases very rapidly. 
8
COVALENT BONDING 
 Covalent bonding takes place between atoms with 
small differences in electronegativity which are close 
to each other in the periodic table (between non-metals 
and non-metals). 
 The covalent bonding is formed when the atoms share 
the outer shell electrons (i.e., s and p electrons). 
 Noble gas electron configuration can be attained. 
9
 Each electron in a shared pair is attracted to both 
nuclei involved in the bond. The approach, 
electron overlap, and attraction can be visualized 
as shown in the following figure representing the 
nuclei and electrons in a hydrogen molecule. 
e 
e 
10
Comparison of Ionic and 
Covalent Bonding 
11
METALLIC BONDING 
 Metallic bonding is found in 
metal elements. This is the 
electrostatic force of attraction 
between positively charged 
ions and delocalized outer 
electrons. 
 The metallic bond is weaker 
than the ionic and the covalent 
bonds. 
 A metal may be described as a 
low-density cloud of free 
electrons. 
 Therefore, metals have high 
electrical and thermal 
conductivity. 
+ 
+ 
+ 
+ 
+ 
+ 
+ 
+ 
+ 
12
VAN DER WAALS BONDING 
 These are weak bonds with a typical strength of 
0.2 eV/atom. 
 Van Der Waals bonds occur between neutral 
atoms and molecules. 
 Weak forces of attraction result from the natural 
fluctuations in the electron density of all molecules 
that cause small temporary dipoles to appear 
within the molecules. 
 It is these temporary dipoles that attract one 
molecule to another. They are called van der 
Waals' forces. 
13
 The shape of a molecule influences its ability to form 
temporary dipoles. Long thin molecules can pack closer to 
each other than molecules that are more spherical. 
 The bigger the 'surface area' of a molecule, the greater the 
van der Waal's forces will be and the higher the melting 
and boiling points of the compound will be. 
 Van der Waal's forces are of the order of 1% of the 
strength of a covalent bond. 
Homonuclear molecules, 
such as iodine, develop 
temporary dipoles due to 
natural fluctuations of electron 
density within the molecule 
Heteronuclear molecules, 
such as H-Cl have permanent 
dipoles that attract the opposite 
pole in other molecules. 
14
 These forces are due to the electrostatic 
attraction between the nucleus of one atom and 
the electrons of the other. 
 Van der waals interaction occurs generally between 
atoms which have noble gas configuration. 
van der waals 
bonding 
15
HYDROGEN BONDING 
 A hydrogen atom, having one electron, can be 
covalently bonded to only one atom. However, the 
hydrogen atom can involve itself in an additional 
electrostatic bond with a second atom of highly 
electronegative character such as fluorine or oxygen. 
This second bond permits a hydrogen bond between 
two atoms or strucures. 
 The strength of hydrogen bonding varies from 0.1 to 
0.5 ev/atom. 
 Hydrogen bonds connect water 
molecules in ordinary ice. 
Hydrogen bonding is also very 
important in proteins and 
nucleic acids and therefore in 
life processes. 
16
17

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Phys 4710 lec 2

  • 1. What kind of forces hold the atoms together in a solid? We can classify solids according to the nature of bonding and energies of Interactions Between Atoms:  Ionic bonding  NaCl  Covalent bonding  Comparison of ionic and covalent bonding  Metallic bonding  Van der waals bonding  Hydrogen bonding 1
  • 2. General Considerations  There must be an attractive force  An apparent candidate is the Coulomb Force q q 1 2 2 1 0 4 r F     Here r is a distance between atoms (ions) forming a solid  What stops atoms (ions) from getting closer than they do?  When ions are very close to each other, other forces arise. These are the so-called short-range repulsive forces, due to rearrangement of electrons as nuclei approach  Equilibrium distance, r0, is point at which energy is at a minimum, forces are balanced 2
  • 4. Energies of Interactions Between Atoms  The energy of the crystal is lower than that of the free atoms by an amount equal to the energy required to pull the crystal apart into a set of free atoms. This is called the binding (cohesive) energy of the crystal.  NaCl is more stable than a collection of free Na and Cl.  Ge crystal is more stable than a collection of free Ge. Cl Na NaCl 4
  • 5. Types of Bonding Mechanisms It is conventional to classify the bonds between atoms into different types as  Ionic  Covalent  Metallic  Van der Waals  Hydrogen All bonding is a consequence of the electrostatic interaction between the nuclei and electrons. 5
  • 6. IONIC BONDING  Ionic bonding is the electrostatic force of attraction between positively and negatively charged ions (between non-metals and metals).  All ionic compounds are crystalline solids at room temperature.  NaCl is a typical example of ionic bonding. 6
  • 7. Metallic elements have only up to the valence electrons in their outer shell. When losing their electrons they become positive ions. Electronegative elements tend to acquire additional electrons to become negative ions or anions. Na Cl 7
  • 8.  When the Na+ and Cl- ions approach each other closely enough so that the orbits of the electron in the ions begin to overlap with each other, then the electron begins to repel each other by virtue of the repulsive electrostatic coulomb force. Of course the closer together the ions are, the greater the repulsive force.  Pauli exclusion principle has an important role in repulsive force. To prevent a violation of the exclusion principle, the potential energy of the system increases very rapidly. 8
  • 9. COVALENT BONDING  Covalent bonding takes place between atoms with small differences in electronegativity which are close to each other in the periodic table (between non-metals and non-metals).  The covalent bonding is formed when the atoms share the outer shell electrons (i.e., s and p electrons).  Noble gas electron configuration can be attained. 9
  • 10.  Each electron in a shared pair is attracted to both nuclei involved in the bond. The approach, electron overlap, and attraction can be visualized as shown in the following figure representing the nuclei and electrons in a hydrogen molecule. e e 10
  • 11. Comparison of Ionic and Covalent Bonding 11
  • 12. METALLIC BONDING  Metallic bonding is found in metal elements. This is the electrostatic force of attraction between positively charged ions and delocalized outer electrons.  The metallic bond is weaker than the ionic and the covalent bonds.  A metal may be described as a low-density cloud of free electrons.  Therefore, metals have high electrical and thermal conductivity. + + + + + + + + + 12
  • 13. VAN DER WAALS BONDING  These are weak bonds with a typical strength of 0.2 eV/atom.  Van Der Waals bonds occur between neutral atoms and molecules.  Weak forces of attraction result from the natural fluctuations in the electron density of all molecules that cause small temporary dipoles to appear within the molecules.  It is these temporary dipoles that attract one molecule to another. They are called van der Waals' forces. 13
  • 14.  The shape of a molecule influences its ability to form temporary dipoles. Long thin molecules can pack closer to each other than molecules that are more spherical.  The bigger the 'surface area' of a molecule, the greater the van der Waal's forces will be and the higher the melting and boiling points of the compound will be.  Van der Waal's forces are of the order of 1% of the strength of a covalent bond. Homonuclear molecules, such as iodine, develop temporary dipoles due to natural fluctuations of electron density within the molecule Heteronuclear molecules, such as H-Cl have permanent dipoles that attract the opposite pole in other molecules. 14
  • 15.  These forces are due to the electrostatic attraction between the nucleus of one atom and the electrons of the other.  Van der waals interaction occurs generally between atoms which have noble gas configuration. van der waals bonding 15
  • 16. HYDROGEN BONDING  A hydrogen atom, having one electron, can be covalently bonded to only one atom. However, the hydrogen atom can involve itself in an additional electrostatic bond with a second atom of highly electronegative character such as fluorine or oxygen. This second bond permits a hydrogen bond between two atoms or strucures.  The strength of hydrogen bonding varies from 0.1 to 0.5 ev/atom.  Hydrogen bonds connect water molecules in ordinary ice. Hydrogen bonding is also very important in proteins and nucleic acids and therefore in life processes. 16
  • 17. 17