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CHAPTER 2
Atomic Structure
and Bonding
Video: History of the atom
• http://www.youtube.com/watch?v=eXdWlnBlncM
Structure of atoms
Nucleus
Diameter: 10 –14 m
Accounts for all mass
Positive charge
Electron Cloud
Mass: 9.2 x 10 –28 g
Charge: -1.6 x 10 –19 C
Accounts for all volume
Proton
Mass: 1.673 x 10 –24 g
Charge: 1.6 x 10 –19 C
Neutron
Mass: 1.675 x 10 –24 g
No charge
Atom
Basic Unit of an Element
Diameter: 10 –10 m
No charge
How big is the nucleus compared to the atom?
Atomic Number
• Atomic Number = Number of protons in the nucleus
• Atomic number determines the element
• Example: Hydrogen = 1, Uranium = 92
Protons
Atomic Mass
• The mass number (A) is the sum of protons and
neutrons in a nucleus of an atom.
– Example: Carbon has 6 protons and 6 neutrons. 6+6 = 12
Protons
Neutrons
Hydrogen-1 Helium-4 Lithium-7
Beryllium-9
Isotopes
• Isotope: Variations of element with same atomic
number but different mass number.
• This means same number of protons, different number
of neutrons.
Helium-4
(Regular helium)
Helium-3 Helium-5
Protons
Neutrons
Relative Atomic Mass
• One Atomic Mass Unit (amu) is 1/12th of mass of the
carbon-12 atom.
• Mass of one proton or neutron is approximately 1 amu.
• Relative atomic mass (or “atomic weight”) = the ratio of
the average mass per atom of an element to 1/12th the
mass of an atom of carbon-12. Has no units.
Protons
Neutrons
Grams, Moles, and Avogadro
• One gram mole = Mass in grams of 6.203 x 1023 atoms.
• 6.203 x 1023 is Avogadro’s number.
One gram
mole of
carbon
12 grams
of carbon
6.023 x 1023
carbon
atoms
One gram
mole of
tungsten
184 grams
of tungsten
6.023 x 1023
tungsten
atoms
Planck’s Quantum Theory
• Max Planck, discovered that atoms and molecules emit
energy only in certain discrete quantities, called
quanta.
• Energy from an atom is always released in integer
multiples of h E = h = hc/λ
Electron Structure of Atoms: Bohr’s Theory
Bohr thought:
• Electrons orbit the nucleus at definite energy levels.
• Energy is absorbed to move to a higher energy level.
• Energy is emitted during transition to a lower level.
• Energy change due to transition = ΔE =

hc
h = Planck’s constant = 6.63 x 10-34 J s
c = Speed of light
λ = Wavelength of light
Energy levels
Emit energy
(photon)
Absorb energy
(photon)
Electron
Bohr Model: Energy in Hydrogen Atom
• Hydrogen atom has one proton and one electron
• Energy of electrons in hydrogen for different energy levels is
given by (n=1,2…..) principal quantum
numbers
• Example: If an electron undergoes transition from n=3 state
to n=2 state, the energy of photon emitted is
• Energy required to completely remove an electron from
hydrogen atom is known as ionization energy.
E  
13.6
2
n
eV
E  
13.6
2
3

13.6
2
2
 1.89 eV
Emission Spectra of Hydrogen
• Emission spectra of hydrogen: animation.
• Click the figure below to view the animation (this
animation has voice).
n=1
n=2
n=3
n=4
n=5
Emission Spectrum of Hydrogen
UV
Visible
IR
The Bohr model is wrong
• The Bohr model only works for hydrogen.
• Bohr’s model fails to explain complex atoms (i.e. the
rest of the periodic table).
Louis de Broglie: Wave-particle duality
• Louis de Broglie: Particles of matter such as
electrons could be treated in terms of both
particle and wave.
Werner Heisenberg’s Uncertainty Principle
• Uncertainty principle: It is impossible to
simultaneously determine the exact
position and the exact momentum of an
electron.
• We can only provide the probability of
finding an electron with a given energy
within a given space (electron density).
Bohr model Quantum cloud model
Schrodinger’s Wave Equation and Electron Density
• Solution of the wave equation is in terms of a wave
function, ψ (orbitals).
• The square of the wave function represents electron
density.
• Boundary surface
representation.
• Where is the
electron?
• Probability!
0.05 nm
0.1 nm
Quantum Numbers of Electrons of Atoms
Principal quantum
number (n)
• Represents main
energy levels.
• Range 1 to ∞.
• Larger the ‘n’ higher the
energy.
Subsidiary quantum
number (l)
• Represents sub energy
levels (orbital).
• Range 0…n-1.
• Represented by letters
s,p,d and f.
n=1
n=2
s orbital
(l=0)
p orbital
(l=1)
n=1
n=2
n=3
S, p and d orbitals
Quantum Numbers of Electrons of Atoms
Magnetic
quantum number ml.
• Represents spatial
orientation of single atomic
orbital.
• Permissible values are –l to
+l.
• Example: if l=1,
ml = -1,0,+1.
i.e. 2l+1 allowed values.
• No effect on energy.
Electron spin
quantum number ms.
• Specifies two directions of
electron spin.
• Directions are clockwise
or anticlockwise.
• Values are +1/2 or –1/2.
• Two electrons on same
orbital have opposite
spins.
• No effect on energy.
Quantum Numbers of Electrons of Atoms
No two electrons in an atom have the same exact set of
quantum numbers! (Pauli’s exclusion principle)
Electron Structure of Multielectron Atom
• Maximum number of electrons in each atomic shell is
given by 2n2.
• Atomic size (radius) increases with addition of shells.
• Electron configuration lists the arrangement of
electrons in orbital.
 Example :
1s2 2s2 2p6 3s2
 For Iron, (Z=26), Electronic configuration is
1s2 2s2 2p6 3s2 3p6 3d6 4s2
Principal Quantum Numbers
Orbital letters
Number of Electrons
Multielectron Atoms
• Nucleus charge effect: The higher the
charge of the nucleus, the higher the
attraction force on an electron.
• Shielding effect: Electrons shield each
other from the full force of the nucleus.
• The inner electrons shield the outer
electrons and do so more effectively.
• In a given principal shell, n, the lower the
value of l, the lower the energy of the
subshell; s < p < d <f.
The Quantum-Mechanical Model and the Periodic Table
• Elements are classified according to their ground
state electron configuration.
Electron Configurations in the Periodic Table
Source: Davis, M. and Davis, R., Fundamentals of Chemical Reaction Engineering, McGraw-Hill, 2003.
Quantum numbers tells us how
the periodic table came to be!
Periodic Variations in Atomic Size
• Affected by principal quantum number and size of the
nucleus.
• Atomic radius: animation.
• Click the figure below to view the animation (this
animation has voice).
Trends in Ionization Energy
• Energy is required to remove an electron from its atom.
• First ionization energy plays the key role in the
chemical reactivity. As the atomic size
decreases it takes
more energy to
remove an electron.
As the first outer
core electron is
removed, it takes
more energy to
remove a second
outer core
electron.
Oxidation Number
• Positive oxidation number: The number of outer
electrons that an atom can give up through the
ionization process.
Electron Structure and Chemical Activity
• Noble gases (He, Ne, Ar, Kr, Xe, Rn) are chemically
very stable
• Electropositive elements give electrons during
chemical reactions to form cations.
– Cations are indicated by positive oxidation numbers
– Example:
Fe : 1s2 2s2 2p6 3s2 3p6 3d6 4s2
Fe2+ : 1s2 2s2 2p6 3s2 3p6 3d6
Fe3+ : 1s2 2s2 2p6 3s2 3p6 3d5
Electron Structure and Chemical Activity
• Electronegative elements accept electrons during
chemical reaction.
• Some elements behave as both electronegative and
electropositive.
• Electronegativity is the degree to which the atom
attracts electrons to itself
– Measured on a scale of 0 to 4.1
0 1 2 3 4
K
Na N O F
W
Te
Se
H
Electro-
positive
Electro-
negative
Metals, Metalloids, and Nonmetals
• Metals (aka reactive metals): Electropositive materials,
have the natural tendency of losing electrons and in the
process form cations.
• Nonmetals (aka reactive nonmetals): Electronegative,
they have the natural tendency of accepting electrons
and in the process form anions.
• Metalloids: Can behave either in a metallic or a
nonmetallic manner.
– Examples:
– In group 4A, the carbon and the next two members, silicon and
germanium, are metalloids while tin and lead, are metals.
– In group 5A, nitrogen and phosphorous are nonmetals, arsenic
and antimony are metalloids, and finally bismuth is a metal.
Primary Bonds
• Bonding with other atoms, the potential energy of each
bonding atom is lowered resulting in a more stable state.
• Three primary bonding combinations: 1) metal-nonmetal,
2) nonmetal-nonmetal, and 3) metal-metal.
1. Ionic bonds: Strong atomic bonds due to transfer of
electrons
2. Covalent bonds: Large interactive force due to sharing of
electrons
3. Metallic bonds: Non-directional bonds formed by sharing
of electrons
• Permanent dipole bonds: Weak intermolecular bonds
due to attraction between the ends of permanent dipoles.
• Fluctuating dipole bonds: Very weak electric dipole
bonds due to asymmetric distribution of electron densities.
Ionic Versus Covalent Bonding
• Ionic versus covalent bonds: Animation.
• Click the figure below to view the animation (this
animation has voice).
Ionic Bonding
• Ionic bonding is due to electrostatic force of attraction
between cations and anions.
• It can form between metallic and nonmetallic
elements.
• Electrons are transferred from electropositive to
electronegative atoms
Electropositive
Element
Electronegative
Atom
Electron
Transfer
Cation
+valence electron
charge
Anion
-valence electron
charge
IONIC BOND
Electrostatic
Attraction
Ionic Bonds
• Large difference in electronegativity.
• When a metal forms a cation, its radius reduces and
when a nonmetal forms an anion, its radius increases.
The electronegativity variations
Example: Ionic Bonding in NaCl
3p5
Sodium
Atom
Na
Chlorine
Atom
Cl
Sodium Ion
Na+
Chlorine Ion
Cl-
I
O
N
I
C
B
O
N
D
3s1
Ion Arrangements in Ionic Solids
• Ionic bonds are nondirectional (distance matters,
not direction)
• Geometric arrangements are present in solids to
maintain electric neutrality.
 Example: in NaCl, six Cl- ions pack around central Na+ Ions
• As the ratio of cation to anion radius decreases,
fewer anion surround central cation.
Ionic packing
in NaCl
and CsCl
CsCl NaCl
Lattice Energy, Material Properties
• Ionic solids are hard, rigid and strong and brittle.
• Excellent insulators.
Covalent Bonding
• In covalent bonding, outer s and p electrons are
shared between two atoms to obtain noble gas
configuration.
• Takes place between elements
with small differences in
electronegativity and close by
in periodic table.
• In hydrogen, a bond is formed between 2 atoms by
sharing their 1s1 electrons.
H + H H H
1s1
Electrons
Electron
Pair
Hydrogen
Molecule
Overlapping Electron Clouds
Examples: Covalent Bonding
• In case of F2, O2 and N2, covalent bonding is formed
by sharing p electrons
• Fluorine gas (Outer orbital – 2s2 2p5) share one p electron to
attain noble gas configuration.
• Oxygen (Outer orbital : 2s2 2p4) atoms share two p electrons
• Nitrogen (Outer orbital : 2s2 2p3) atoms share three p electrons
F + F F F
H
F F
Bond Energy=160kJ/mol
O + O O O O = O
N + N Bond Energy=54kJ/mol
N N N N
Bond Energy=28kJ/mol
Metallic Bonding
• Atoms in metals are closely packed in crystal
structure.
• Loosely bounded valence electrons are attracted
towards nucleus of other atoms.
• Electrons spread out among atoms forming electron
clouds.
• These free electrons are
the reason for electric
conductivity and ductility
• Since outer electrons are
shared by many atoms,
metallic bonds are
nondirectional
Positive Ion
Valence electron charge cloud
Metallic Bonds and Material Properties
• The bond energies and the melting point of metals
vary greatly depending on the number of valence
electrons and the percent metallic bonding.
Metallic Bonds and Material Properties
• Pure metals are significantly more malleable than
ionic or covalent networked materials.
• Strength of a pure metal can be significantly
increased through alloying.
• Pure metals are excellent conductors of heat and
electricity.
Summary
• Properties of materials come from their
electron configurations.
• The periodic table is based on electron
configurations.

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Materials_Ch2.pdf

  • 2. Video: History of the atom • http://www.youtube.com/watch?v=eXdWlnBlncM
  • 3. Structure of atoms Nucleus Diameter: 10 –14 m Accounts for all mass Positive charge Electron Cloud Mass: 9.2 x 10 –28 g Charge: -1.6 x 10 –19 C Accounts for all volume Proton Mass: 1.673 x 10 –24 g Charge: 1.6 x 10 –19 C Neutron Mass: 1.675 x 10 –24 g No charge Atom Basic Unit of an Element Diameter: 10 –10 m No charge
  • 4. How big is the nucleus compared to the atom?
  • 5. Atomic Number • Atomic Number = Number of protons in the nucleus • Atomic number determines the element • Example: Hydrogen = 1, Uranium = 92 Protons
  • 6. Atomic Mass • The mass number (A) is the sum of protons and neutrons in a nucleus of an atom. – Example: Carbon has 6 protons and 6 neutrons. 6+6 = 12 Protons Neutrons Hydrogen-1 Helium-4 Lithium-7 Beryllium-9
  • 7. Isotopes • Isotope: Variations of element with same atomic number but different mass number. • This means same number of protons, different number of neutrons. Helium-4 (Regular helium) Helium-3 Helium-5 Protons Neutrons
  • 8. Relative Atomic Mass • One Atomic Mass Unit (amu) is 1/12th of mass of the carbon-12 atom. • Mass of one proton or neutron is approximately 1 amu. • Relative atomic mass (or “atomic weight”) = the ratio of the average mass per atom of an element to 1/12th the mass of an atom of carbon-12. Has no units. Protons Neutrons
  • 9. Grams, Moles, and Avogadro • One gram mole = Mass in grams of 6.203 x 1023 atoms. • 6.203 x 1023 is Avogadro’s number. One gram mole of carbon 12 grams of carbon 6.023 x 1023 carbon atoms One gram mole of tungsten 184 grams of tungsten 6.023 x 1023 tungsten atoms
  • 10. Planck’s Quantum Theory • Max Planck, discovered that atoms and molecules emit energy only in certain discrete quantities, called quanta. • Energy from an atom is always released in integer multiples of h E = h = hc/λ
  • 11. Electron Structure of Atoms: Bohr’s Theory Bohr thought: • Electrons orbit the nucleus at definite energy levels. • Energy is absorbed to move to a higher energy level. • Energy is emitted during transition to a lower level. • Energy change due to transition = ΔE =  hc h = Planck’s constant = 6.63 x 10-34 J s c = Speed of light λ = Wavelength of light Energy levels Emit energy (photon) Absorb energy (photon) Electron
  • 12. Bohr Model: Energy in Hydrogen Atom • Hydrogen atom has one proton and one electron • Energy of electrons in hydrogen for different energy levels is given by (n=1,2…..) principal quantum numbers • Example: If an electron undergoes transition from n=3 state to n=2 state, the energy of photon emitted is • Energy required to completely remove an electron from hydrogen atom is known as ionization energy. E   13.6 2 n eV E   13.6 2 3  13.6 2 2  1.89 eV
  • 13. Emission Spectra of Hydrogen • Emission spectra of hydrogen: animation. • Click the figure below to view the animation (this animation has voice). n=1 n=2 n=3 n=4 n=5
  • 14. Emission Spectrum of Hydrogen UV Visible IR
  • 15. The Bohr model is wrong • The Bohr model only works for hydrogen. • Bohr’s model fails to explain complex atoms (i.e. the rest of the periodic table).
  • 16. Louis de Broglie: Wave-particle duality • Louis de Broglie: Particles of matter such as electrons could be treated in terms of both particle and wave.
  • 17. Werner Heisenberg’s Uncertainty Principle • Uncertainty principle: It is impossible to simultaneously determine the exact position and the exact momentum of an electron. • We can only provide the probability of finding an electron with a given energy within a given space (electron density). Bohr model Quantum cloud model
  • 18. Schrodinger’s Wave Equation and Electron Density • Solution of the wave equation is in terms of a wave function, ψ (orbitals). • The square of the wave function represents electron density. • Boundary surface representation. • Where is the electron? • Probability! 0.05 nm 0.1 nm
  • 19. Quantum Numbers of Electrons of Atoms Principal quantum number (n) • Represents main energy levels. • Range 1 to ∞. • Larger the ‘n’ higher the energy. Subsidiary quantum number (l) • Represents sub energy levels (orbital). • Range 0…n-1. • Represented by letters s,p,d and f. n=1 n=2 s orbital (l=0) p orbital (l=1) n=1 n=2 n=3
  • 20. S, p and d orbitals
  • 21. Quantum Numbers of Electrons of Atoms Magnetic quantum number ml. • Represents spatial orientation of single atomic orbital. • Permissible values are –l to +l. • Example: if l=1, ml = -1,0,+1. i.e. 2l+1 allowed values. • No effect on energy. Electron spin quantum number ms. • Specifies two directions of electron spin. • Directions are clockwise or anticlockwise. • Values are +1/2 or –1/2. • Two electrons on same orbital have opposite spins. • No effect on energy.
  • 22. Quantum Numbers of Electrons of Atoms No two electrons in an atom have the same exact set of quantum numbers! (Pauli’s exclusion principle)
  • 23. Electron Structure of Multielectron Atom • Maximum number of electrons in each atomic shell is given by 2n2. • Atomic size (radius) increases with addition of shells. • Electron configuration lists the arrangement of electrons in orbital.  Example : 1s2 2s2 2p6 3s2  For Iron, (Z=26), Electronic configuration is 1s2 2s2 2p6 3s2 3p6 3d6 4s2 Principal Quantum Numbers Orbital letters Number of Electrons
  • 24. Multielectron Atoms • Nucleus charge effect: The higher the charge of the nucleus, the higher the attraction force on an electron. • Shielding effect: Electrons shield each other from the full force of the nucleus. • The inner electrons shield the outer electrons and do so more effectively. • In a given principal shell, n, the lower the value of l, the lower the energy of the subshell; s < p < d <f.
  • 25. The Quantum-Mechanical Model and the Periodic Table • Elements are classified according to their ground state electron configuration.
  • 26. Electron Configurations in the Periodic Table Source: Davis, M. and Davis, R., Fundamentals of Chemical Reaction Engineering, McGraw-Hill, 2003. Quantum numbers tells us how the periodic table came to be!
  • 27. Periodic Variations in Atomic Size • Affected by principal quantum number and size of the nucleus. • Atomic radius: animation. • Click the figure below to view the animation (this animation has voice).
  • 28. Trends in Ionization Energy • Energy is required to remove an electron from its atom. • First ionization energy plays the key role in the chemical reactivity. As the atomic size decreases it takes more energy to remove an electron. As the first outer core electron is removed, it takes more energy to remove a second outer core electron.
  • 29. Oxidation Number • Positive oxidation number: The number of outer electrons that an atom can give up through the ionization process.
  • 30. Electron Structure and Chemical Activity • Noble gases (He, Ne, Ar, Kr, Xe, Rn) are chemically very stable • Electropositive elements give electrons during chemical reactions to form cations. – Cations are indicated by positive oxidation numbers – Example: Fe : 1s2 2s2 2p6 3s2 3p6 3d6 4s2 Fe2+ : 1s2 2s2 2p6 3s2 3p6 3d6 Fe3+ : 1s2 2s2 2p6 3s2 3p6 3d5
  • 31. Electron Structure and Chemical Activity • Electronegative elements accept electrons during chemical reaction. • Some elements behave as both electronegative and electropositive. • Electronegativity is the degree to which the atom attracts electrons to itself – Measured on a scale of 0 to 4.1 0 1 2 3 4 K Na N O F W Te Se H Electro- positive Electro- negative
  • 32. Metals, Metalloids, and Nonmetals • Metals (aka reactive metals): Electropositive materials, have the natural tendency of losing electrons and in the process form cations. • Nonmetals (aka reactive nonmetals): Electronegative, they have the natural tendency of accepting electrons and in the process form anions. • Metalloids: Can behave either in a metallic or a nonmetallic manner. – Examples: – In group 4A, the carbon and the next two members, silicon and germanium, are metalloids while tin and lead, are metals. – In group 5A, nitrogen and phosphorous are nonmetals, arsenic and antimony are metalloids, and finally bismuth is a metal.
  • 33. Primary Bonds • Bonding with other atoms, the potential energy of each bonding atom is lowered resulting in a more stable state. • Three primary bonding combinations: 1) metal-nonmetal, 2) nonmetal-nonmetal, and 3) metal-metal. 1. Ionic bonds: Strong atomic bonds due to transfer of electrons 2. Covalent bonds: Large interactive force due to sharing of electrons 3. Metallic bonds: Non-directional bonds formed by sharing of electrons • Permanent dipole bonds: Weak intermolecular bonds due to attraction between the ends of permanent dipoles. • Fluctuating dipole bonds: Very weak electric dipole bonds due to asymmetric distribution of electron densities.
  • 34. Ionic Versus Covalent Bonding • Ionic versus covalent bonds: Animation. • Click the figure below to view the animation (this animation has voice).
  • 35. Ionic Bonding • Ionic bonding is due to electrostatic force of attraction between cations and anions. • It can form between metallic and nonmetallic elements. • Electrons are transferred from electropositive to electronegative atoms Electropositive Element Electronegative Atom Electron Transfer Cation +valence electron charge Anion -valence electron charge IONIC BOND Electrostatic Attraction
  • 36. Ionic Bonds • Large difference in electronegativity. • When a metal forms a cation, its radius reduces and when a nonmetal forms an anion, its radius increases. The electronegativity variations
  • 37. Example: Ionic Bonding in NaCl 3p5 Sodium Atom Na Chlorine Atom Cl Sodium Ion Na+ Chlorine Ion Cl- I O N I C B O N D 3s1
  • 38. Ion Arrangements in Ionic Solids • Ionic bonds are nondirectional (distance matters, not direction) • Geometric arrangements are present in solids to maintain electric neutrality.  Example: in NaCl, six Cl- ions pack around central Na+ Ions • As the ratio of cation to anion radius decreases, fewer anion surround central cation. Ionic packing in NaCl and CsCl CsCl NaCl
  • 39. Lattice Energy, Material Properties • Ionic solids are hard, rigid and strong and brittle. • Excellent insulators.
  • 40. Covalent Bonding • In covalent bonding, outer s and p electrons are shared between two atoms to obtain noble gas configuration. • Takes place between elements with small differences in electronegativity and close by in periodic table. • In hydrogen, a bond is formed between 2 atoms by sharing their 1s1 electrons. H + H H H 1s1 Electrons Electron Pair Hydrogen Molecule Overlapping Electron Clouds
  • 41. Examples: Covalent Bonding • In case of F2, O2 and N2, covalent bonding is formed by sharing p electrons • Fluorine gas (Outer orbital – 2s2 2p5) share one p electron to attain noble gas configuration. • Oxygen (Outer orbital : 2s2 2p4) atoms share two p electrons • Nitrogen (Outer orbital : 2s2 2p3) atoms share three p electrons F + F F F H F F Bond Energy=160kJ/mol O + O O O O = O N + N Bond Energy=54kJ/mol N N N N Bond Energy=28kJ/mol
  • 42. Metallic Bonding • Atoms in metals are closely packed in crystal structure. • Loosely bounded valence electrons are attracted towards nucleus of other atoms. • Electrons spread out among atoms forming electron clouds. • These free electrons are the reason for electric conductivity and ductility • Since outer electrons are shared by many atoms, metallic bonds are nondirectional Positive Ion Valence electron charge cloud
  • 43. Metallic Bonds and Material Properties • The bond energies and the melting point of metals vary greatly depending on the number of valence electrons and the percent metallic bonding.
  • 44. Metallic Bonds and Material Properties • Pure metals are significantly more malleable than ionic or covalent networked materials. • Strength of a pure metal can be significantly increased through alloying. • Pure metals are excellent conductors of heat and electricity.
  • 45. Summary • Properties of materials come from their electron configurations. • The periodic table is based on electron configurations.