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CH 08

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CH 08

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Chapter 8

The Basics
of Chemical Bonding

Chemistry, 7th Edition


International Student Version
Brady/Jespersen/Hyslop

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved.
.

Chapter in Context
 Describe the necessary conditions for bond
formation
 Examine the factors involved in ionic bonding
 Write electron configurations of ions
 Write Lewis symbols for atoms and ions
 Describe covalent bonds, the octet rule, and
multiple bonds
 Understand the energetics of bond formation

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 2
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1
Chapter in Context, cont’d
 Learn trends in electronegativity
 Examine how electronegativity affects bond
polarity and the reactivity of elements
 Draw Lewis structures of molecules
 Calculate and use formal charges
 Draw and understand resonance structures
 Classify organic compounds and identify
functional groups

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 3
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Chemical Bonds
 Attractive forces that hold atoms together
in complex substances
 Molecules and ionic compounds
Why study?
 Changes in these bonding forces are the
underlying basis of chemical reactivity
 During reaction
 Break old bonds
 Form new bonds

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 4
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2
Two Classes of Bonds
 Covalent bonding
 Occurs in molecules
 Sharing of electrons
 Ionic Bonding
 Occurs in ionic solid
 Electrons transferred from one atom to another
 Simpler
 We will look at this first

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 5
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Ionic Bonds
 Result from attractive forces between
oppositely charged particles

Na+ Cl –

 Metal - nonmetal bonds are ionic because:


 Metals have
 Low ionization energies
 Easily lose electrons to be stable
 Non-metals have
 Very exothermic electron affinities
 Formation of lattice stabilizes ions
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 6
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3
Ionic Compounds
 Formed from metal and nonmetal
Na + Cl Na+ + Cl− NaCl(s)

e−
 Ionic Bond
 Attraction between + and – ions in ionic
compound
 Why does this occur? Why is e – transferred?
 Why Na+ and not Na2+ or Na–?
 Why Cl– and not Cl2– or Cl+?

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 7
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Ionic Compounds
Ionic crystals:
 Exist in 3-dimensional array
of cations and anions called
a lattice structure

Ionic chemical formulas:


 Always written as empirical
formula
 Smallest whole number ratio
of cation to anion
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 8
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4
Energetics
 Must look at energy of system to answer
these questions
 For any stable compound to form from its
elements
 Potential energy of system must be lowered.
 Net decrease in energy ∆Hf° < 0 (negative)
 What are factors contributing to energy
lowering for ionic compound?
 Use Hess’s Law to determine
 Conservation of energy
 Envision two paths
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 9
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Lattice Energy
 Amount that PE of system decreases when
one mole of solid salt is formed from its gas
phase ions
 Energy released when ionic lattice forms

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 10
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Two Paths to Evaluate Energy
1. Single step
Na(s) + ½Cl2(g) → NaCl(s) ∆Hf°= – 411.1 kJ/mol

2. Stepwise path
Na(s) → Na(g) ∆Hf°(Na, g) = 107.8 kJ/mol
½Cl2(g) → Cl(g) ∆Hf°(Cl, g) = 121.3 kJ/mol
Na(g) → Na (g) + e
+ – IE(Na) = 495.4 kJ/mol
Cl(g) + e → Cl (g)
– – EA(Cl) = –348.8 kJ/mol
Na+(g) + Cl–(g) → NaCl(s) ∆Hlattice = –787 kJ/mol

Na(s) + ½Cl2(g) → NaCl(s) ∆Hf°= –411 kJ/mol

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 11
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Lattice Energy
 Always ∆HLattice= – = exothermic
 ∆HLattice gets more exothermic (larger negative
value) as ions of opposite charge are brought closer
together
 Ions tightly packed with opposite charged ions next
to each other q q
∆H Lattice ∝ + −
d
 Any increase in PE due to ionizing atoms is more
than met by decrease in PE from formation of
crystal lattice. Even for +2 and –2 ions
 Therefore, forming ionic solids is an overall
exothermic process and they are stable compounds
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 12
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6
Your Turn!
Assuming that the separation between
cations and anions in the lattice is nearly
identical, which species would have the
greatest lattice energy?
A. sodium chloride
B. calcium chloride
C. calcium nitride Highest charges
D. sodium oxide (+2 and -3)
E. calcium oxide

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 13
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Your Turn!
Which combination below will have the most
negative lattice energy?

A. Low-charge ions separated by large distances


B. Low-charge ions separated by small distances
C. High-charged ions separated by large distances
D. High-charged ions separated by small distances
As q increases, ∆H increases
q q
∆H Lattice ∝ + −
d As d increases, ∆H decreases
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 14
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7
Why do Metals form Cations and
Nonmetals form Anions?
Metal Nonmetal
 Left hand side of  Right hand side of
Periodic Table Periodic Table
 IE small and positive  IE large and positive
 Little energy required to  Difficult to remove e–
remove electrons  EA large and negative
 EA small and negative  But easy to add e–
or positive  Exothermic—large amount
 Not favorable to attract an of energy given off
electron to it  PE of system decreases
 Least expensive, energy-  Least expensive, energy-
wise, to form cation wise, to form anion
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 15
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Electron Configurations of Ions


Review of electron configurations:
Follow Aufbau ordering
Electron configuration based on “filling” an
atom with electrons. Follows order in the
periodic table
 Reflect electron energy level
Electron configuration based on increasing
values of n and then in any given energy level
by increasing values of ℓ. Helpful format for
explaining how ions form

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 16
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8
Electron Configurations of Ions
 How electronic structure affects types of ions
formed
e.g.,
Na 1s22s22p63s1 = [Ne] 3s1
Na+ 1s2 2s22p6 = [Ne]
IE1 = 496 kJ/mol small not too difficult
IE2 = 4563 kJ/mol large ~10 x larger very difficult
 Can remove first electron, as doesn't cost too much
 Can’t remove second electron, as can't regain lost
energy from lattice
 Thus, Na2+ doesn’t form
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 17
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Electron Configurations of Ions


e.g., Ca [Ar] 4s2
Ca2+ [Ar]
IE1 small = 590 kJ/mol not too difficult
IE2 small = 1140 kJ/mol not too difficult
IE3 large = 4940 kJ/mol too difficult
 Can regain by lattice energy ~2000 kJ/mole if
+2, –2 charges
 But third electron is too hard to remove
 Can’t recoup required energy through lattice
formation
 Therefore Ca3+ doesn't form
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 18
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9
Electron Configurations of Ions
 Stability of noble gas core above or below
the valence electrons effectively limits the
number of electrons that metals lose
 Ions formed have noble gas electron
configuration
 True for anions and cations
e.g., Cl 1s22s22p63s23p5 = [Ne]3s2 3p5
Cl– 1s22s22p63s23p6 = [Ar]
 Adding another electron
 Requires putting it into next higher n shell
 Energy cost too high
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 19
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e.g.,
O 1s22s22p4
O– 1s22s22p5 EA1 = –141 kJ/mol
O2– 1s22s22p6 = [Ne] EA2 = +844 kJ/mol
EAnet = +703 kJ/mol
endothermic
 Energy required to form cation is more than
made up for by the increase in ∆HLattice
caused by higher –2 charge
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 20
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10
Electron Configurations of Ions
Generalization:
 When ions form
 Atoms of most representative elements (s and p
block)
 Tend to gain or lose electrons to obtain nearest
Noble gas electron configuration
 Except He (two electrons), all noble gases have
eight electrons in highest n shell
Octet Rule
 Atoms tend to gain or lose electrons until
they have achieved outer (valence) shell
containing octet of eight electrons
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 21
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Octet Rule
 Works well with
 Group 1A and 2A
metals
 Al
 Non-metals
 H and He can't obey
 Limited to 2 electrons
in the n = 1 shell
 Doesn't work with
 Transition metals
 Post transition metals
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 22
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11
Your Turn!
What is the correct electron configuration for Cs
and Cs+?
A. [Xe] 6s1, [Xe]
B. [Xe] 6s2, [Xe] 6s1
C. [Xe] 5s1, [Xe]
D. [Xe] 6s1, [Xe] 6s2
E. [Xe] 6p2, [Xe] 6p1

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 23
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Your Turn!
What charges are aluminum, phosphorus,
sulfur, strontium, and rubidium most likely to
have when they become ions?
A. -3, +3, +2, -2, -1, respectively
B. -5, -3, -2, +2, +1, respectively
C. +3, -3, -2, +2, +1, respectively
D. +13, +3, -2, +2, +2, respectively
E. +3, +5, -2, -2, +1, respectively

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 24
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12
Transition Metals
 First electrons are lost from outermost s orbital
 Lose electrons from highest n first, then ℓ
e.g., Fe [Ar] 3d 64s2
Fe2+ [Ar] 3d 6 loses 4s electrons first
Fe3+ [Ar] 3d 5 then loses 3d electrons
 Extra stability due to half-filled d subshells
 Consequences
 M 2+ is a common oxidation state as two
electrons are removed from the outer ns shell
 Ions of larger charge result from loss of d
electrons
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 25
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Post Transition Metals


e.g.,
Sn [Kr] 4d 105s25p2
Sn2+ [Kr] 4d 105s2
 Neither has noble gas electron configuration
 Have emptied 5p subshell
Sn4+ [Kr] 4d 10
 Does have empty 5s subshell

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 26
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Transition Metals
 Not easy to predict which ions form and
which are stable
 But ions with exactly filled or half-filled d
subshells are extra stable and therefore tend
to form
 Mn2+ [Ar]3d 5
 Fe3+ [Ar]3d 5
 Zn2+ [Ar]3d 10

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 27
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Predicting Cation Configurations


Consider Bi, whose aufbau configuration is:
[Xe]6s 2 4f 14 5d 10 6p3. What ions are expected?

Rewrite configuration: [Xe]4f 14 5d 10 6s 2 6p 3


Bi3+ and Bi5+

Consider Fe, whose aufbau configuration is:


[Ar]4s 2 3d 6. What ions are expected?

Rewrite configuration: [Ar]3d 6 4s 2


Fe2+ and Fe3+
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 28
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14
Predicting Anion Configurations
Non-metals gain electrons to become
isoelectronic with next larger noble gas

O: [He]2s 22p 4 + 2? e– → ? O2– : [He]2s 2 2p 6

? e– → ? N3– : [He]2s 2 2p 6
N: [He]2s 22p 3 + 3

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 29
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Your Turn!
What are the correct electron configurations for
Cu and Cu2+ ?

A. [Ar] 3d 94s2, [Ar] 3d 9


B. [Ar] 3d 104s1, [Ar] 3d 84s1
C. [Ar] 3d 104s1, [Ar] 3d 9
D. [Ar] 3d 94s2, [Ar] 3d 104s1
E. [K] 3d 94s2, [Ar] 3d 9

 Filled and half-filled orbitals are particularly


stable
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 30
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15
Your Turn!
What are the correct electron configurations for
zirconium(II) and zirconium(IV) ions?

A. [Kr] 5d 2 [Kr] 4d 1
B. [Ar] 4d 25s2 [Ar] 5s2
C. [Kr] 4d 2 [Kr]
D. [Kr] 4d 65s2 [Kr] 4d 6
E. [Rb] 4d 2 [Rb]

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 31
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Lewis Symbols
 Electron bookkeeping method
 Way to keep track of e–’s
 Write chemical symbol surrounded by dots for each
e–
Group # 1A 2A 3A 4A
Valence e–'s 1 2 3 4
e– conf'n ns1 ns2 ns2np1 ns2np2

Li Be B C
Na Mg Al Si
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 32
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Lewis Symbols
Group # 5A 6A 7A 8A
Valence e-'s 5 6 7 8
e- conf'n ns2np3 ns2np4 ns2np5 ns2np6
He
N O F Ne
P S Cl Ar
For the representative elements
Group number = number of valence e–’s
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 33
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Lewis Symbols
 Can use to diagram electron transfer in ionic
bonding

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Covalent Compounds

 Form individual separate molecules


 Atoms bound by sharing electrons
 Do not conduct electricity
 Often low melting point
Covalent Bonds
 Shared pairs of electrons between two
atoms
 Two H atoms come together, why?

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 35
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Covalent Bond
 Attraction of valence electrons of one atom
by nucleus of other atom
 Shifting of electron density
 As distance between nuclei decreases,
probability of finding either electron near
either nucleus increases
 Pulls nuclei closer together

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 36
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Covalent Bond
 As nuclei get
close
 Begin to repel
each other
 Both have
high positive
charge

 Final internuclear distance between two atoms in


bond
 Balance of attractive and repulsive forces
 Bond forms since there is a net attraction
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 37
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Covalent Bond
 Two quantities characterize this bond
Bond Length (bond distance)
 Distance between 2 nuclei = rA + rB
Bond Energy
 Also bond strength
 Amount of energy released when bond formed
(decreasing PE) or
 Amount of energy must put in to “break” bond

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 38
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19
Your Turn!
Which species is most likely covalently bonded?
A. CsCl
B. NaF
C. CaF2
D. CO
E. MgBr2

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 39
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Your Turn!
What is the primary driving force behind the
formation of covalent bonds?
A. The energy released when two electrons
attract each other
B. The energy gained when two electrons attract
each other
C. The energy released when nuclei attract
electrons
D. The energy released by two nuclei attracting
each other
E. The energy gained by the repulsion between
nuclei
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 40
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20
Your Turn!
What force(s) limit(s) the distance between nuclei
in a covalent bond?

A. The repulsive forces between nuclei


B. The attractive forces between nuclei
C. The attractive forces between electrons
D. The attractive forces between nuclei and
electrons
E. The octet rule

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 41
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Lewis Structures
 Molecular formula drawn with Lewis Symbols
 Method for diagramming electronic structure
of covalent bonds
 Uses dots to represent electrons
 Covalent bond
 Shared pair of electrons
 Each atom shares electrons so has complete
octet ns 2np 6
 Noble gas electron configuration
 Except H which has complete shell with 2
electrons
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 42
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21
Octet rule and covalent bonding
When atoms form covalent bonds, they tend
to share sufficient electrons so as to achieve
outer shell having eight electrons
 Indicates how all atoms in molecule are attached
to one another
 Accounts for ALL valence electrons in ALL atoms
in molecule
Let’s look at some examples
Noble Gases: eight valence electrons
 Full octet ns 2np 6
 Stable monatomic gases
 Don’t form compounds
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 43
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Lewis Structures
Diatomic Gases:
 H and Halogens
H2
 H· + ·H → H:H or HH
 Each H has two electrons through
sharing
 Can write shared pair of electrons as a
line ()
: or  signify a covalent bond
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 44
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22
Lewis Structures
Diatomic Gases:
F2
F + F FF F F
 Each F has complete octet
 Only need to form one bond to complete
octet
 Pairs of electrons not included in covalent
bond are called lone pairs
 Same for rest of halogens: Cl2, Br2, I2
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 45
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Lewis Structures
Diatomic Gases:
HF
H + F HF H F
 Same for HCl, HBr, HI
 Molecules are diatomics of atoms that need
only one electron to complete octet
 Separate molecules
 Gas in most cases because very weak
intermolecular forces
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 46
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23
Your Turn!
How many electrons are required to complete
the octet around nitrogen?
A. 2
B. 3
C. 1
D. 4
E. 6

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 47
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Lewis Structures
Many nonmetals form more than one covalent bond

C N O
Needs 4 electrons Needs 3 electrons Needs 2 electrons
Forms 4 bonds Forms 3 bonds Forms 2 bonds
H
H N H O H
H C H
H H
H H
H C H H N H O H
H H H
methane ammonia water
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 48
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Multiple Bonds

Single Bond
 Bond produced by sharing one pair of
electrons between two atoms

 Many molecules share more than one


pair of electrons between two atoms
 Multiple bonds

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 49
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Double Bonds
 Two atoms share two pairs of electrons
e.g., CO2

O C O O C O O C O
Triple bond
 Three pairs of electrons shared between
two atoms
e.g., N2

N N N N N N
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 50
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25
Your Turn!
Which species is most likely to have multiple
bonds?
A. CO
B. H2O
C. PH3
D. BF3
E. CH4

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 51
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Electronegativity and Bond


Polarity
 Two atoms of same
element form bond
 Equal sharing of
electrons

 Two atoms of different


elements form bond
 Unequal sharing of
electrons

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 52
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Why?
 One atom usually attracts
electrons more strongly
than the other
Result
 Unbalanced distribution
of electron density within bond
 Electron cloud tighter around Cl in HCl
 Slight positive charge around H
 Slight negative charge around Cl
 This is not a complete transfer of an electron
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 53
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Electronegativity and Bond


Polarity

 Leads to concept of
partial charges
δ+ δ–
H——Cl
δ+ on H = +0.17
δ– on Cl = –0.17

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Polar Covalent Bond
 Also known as a polar bond
 Bond that carries partial + and – charges at
opposite ends
 Bond is dipole
 Two poles or two charges involved
Polar Molecule
 Molecule has partial positive and negative
charges at opposite ends of a bond

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 55
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Dipole Moment
 Quantitative measure of extent to which
bond is polarized
 Dipole moment = Charge on either end ×
distance between them
 µ=q×r
 Units = debye (D)
 1 D = 3.34 × 10–30 C m (Coulomb meter)
 The size of the dipole moment or the
degree of polarity in the bond depends on
the differences in abilities of bonded atoms
to attract electrons to themselves
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 56
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28
Your Turn!
Which situation below results in the largest
dipole moment?
A. +1 and -1 charges separated by 6 Å
B. +1 and -1 charges separated by 8 Å
C. +2 and -2 charges separated by 4 Å
D. +2 and -2 charges separated by 6 Å
E. +2 and -2 charges separated by 8 Å
µ=q×r dipole moment increases as
both q and r increase.

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Dipole Moments and Bond Lengths


for Some Diatomic Molecules

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Electronegativity (EN)
 Relative attraction of atom for electrons in
bond
 Quantitative basis
 Table of electronegativities – Fig. 8.9
 Difference in electronegativity
= estimate of bond polarity
∆EN = |EN1 – EN2|
e.g., N—H Si—F
δ– δ+ δ+ δ–

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Electronegativity Table

Linus Pauling

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Trends in Electronegativity
 EN increases from left to right across period
as Zeff increases
 EN decreases from top to bottom down group
as n increases
Ionic and Covalent Bonding
 Are the two extremes of bonding
 Actual is usually somewhere in between.

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 61
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Your Turn!
Which of the following species has the least
polar bond?
A. HCl
B. HF
C. HI
D. HBr

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 62
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Using Electronegativities
 Difference in electronegativity
∆EN = EN A – EN B  Measure of ionic character of
bond

Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 63
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Using Electronegativities
 Nonpolar Covalent Bond
 No difference in electronegativity
 Ionic Character of bond
 Degree to which bond is polar
 ∆EN > 1.7 means mostly ionic
 > 50% ionic
 More electronegative element almost completely
controls electron
 ∆EN < 0.5
 Means almost purely covalent
 Nonpolar: < 5% ionic
 0.5 < ∆EN < 1.7 polar covalent
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Result
 Elements in same region of periodic table
 i.e., two nonmetals
 Have similar electronegativities
 Bonding more covalent

 Elements in different regions of periodic


table
 i.e., metal and nonmetal
 Have different electronegativities
 Bonding predominantly ionic
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 65
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Reactivities of Elements Related


to Electronegativities
 Parallels between EN and its reactivity
 Tendency to undergo redox reactions

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Reactivities of Elements Related
to Electronegativities
Metals
 Low EN: easy to oxidize (Groups 1A and 2A)
 High EN: hard to oxidize (Pt, Ir, Rh, Au, Pd)
 Reactivity decreases across row as
electronegativity increases
Nonmetals
 Oxidizing power increases across row as EN
increases
 Oxidizing power decreases down a column as
electronegativity decreases
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Your Turn!
Predict the type of bonding (covalent or ionic)
in the following: magnesium chloride, carbon
tetrachloride, iron(III) oxide, sulfur dioxide,
carbon disulfide
A. ionic, ionic, ionic, covalent, covalent
B. covalent, ionic, covalent, ionic, ionic
C. ionic, covalent, covalent, covalent, ionic
D. ionic, covalent, ionic, covalent, covalent

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34
Drawing Lewis Structures
 Very useful
 Way of diagramming structure
 Used to describe structure of molecules
 Can be used to make reasonably accurate
predictions of shapes of molecules

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Drawing Lewis Structures


 Not all molecules obey the octet rule
 Holds rigorously for second row elements like
C, N, O, and F
 B and Be sometimes have less than octet
BeCl2, BCl3
 2nd row can never have more than eight
electrons
 3rd row and below, atoms often exceed octet
 Why?
 n = 3 shell can have up to 18 electrons as
now have d orbitals in valence shell
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35
Method for Drawing Lewis Structure

1. Decide how atoms are bonded


 Skeletal structure = arrangement of atoms
 Central atom
 Usually given first
 Usually least electronegative
2. Count all valence electrons (all atoms)
3. Place two electrons between each pair of
atoms
 Draw in single bonds

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Method for Drawing Lewis Structure


4. Complete octets of terminal atoms
(atoms attached to central atom) by
adding electrons in pairs
5. Place any remaining electrons on central
atom in pairs
6. If central atom does not have octet
 Form double bonds
 If necessary, form triple bonds

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36
Example: SiF4
Skeletal Structure
1 Si = 1 × 4e– = 4 e– F
4 F = 4 × 7e– = 28 e– F Si F
Total = 32 e–
single bonds – 8 e– F
24 e– Complete terminal
atom octets
F lone pairs – 24 e–
0 e– F
F Si F
F
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Example: H2CO3
 CO32– oxoanion, so C central, and O s
around, H+ attached to two O s
1 C = 1 × 4e– = 4 e– O
3 O = 3 × 6e– = 18 e– H O C O H
2 H = 2 × 1e– = 2 e–
Total = 24 e– O
single bonds – 10 e–
H O C O H
14 e–
O lone pairs – 14 e–
 But C only has 6 e–
0 e–
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37
Example: H2CO3 (cont.)

 Too few electrons O


 Must convert one of H O C O H
lone pairs on O to
second bond to C
 Form double bond
between C and O O
H O C O H

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Example: N2F2
2 N = 2 × 5e– = 10 e– Skeletal Structure
2F = 2 × 7e– = 14 e–
F N N F
Total = 24 e–
Complete terminal
single bonds – 6 e–
atom octets
18 e–
F lone pairs – 12 e– F N N F
6 e–
Put remaining electrons
N electrons – 6 e–
on central atom
0 e–
F N N F
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38
Example: N2F2 (cont.)

 Not enough electrons to complete octets


on nitrogen
 Must form double bond between nitrogen
atoms to satisfy both octets

F N N F F N N F

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Expanded Octets
Elements after Period 2 in the Periodic Table
 Are larger atoms
 Have d orbitals
 Can accept 18 electrons
 For Lewis structures
 Follow same process as before but add extra
electrons to the central atom

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39
Example: PCl5
1 P = 1 × 5 e– = 5 e– Cl
5 Cl = 5 × 7e– = 35 e– Cl Cl
P
Total = 40 e–
Cl Cl
single bonds – 10 e–
30 e–
Cl
Cl lone pairs – 30 e–
0 e– Cl Cl
P
 P has 10 electrons Cl Cl
 Third period element
 Can expand its shell
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Electron Deficient Structures

 Boron often has six electrons around it


 Three pairs
 Beryllium often has four electrons around it
 Two pairs

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40
Example: BBr3
1 B = 1 × 3 e– = 3 e–
Br
3 Br = 3 × 7e– = 21 e–
Total = 24 e– B
single bonds – 6 e– Br Br
18 e–
Br lone pairs – 18 e– Br
0 e–

 B has only six electrons B


 Does not form double bond Br Br
 Has incomplete octet
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Your Turn!
How many electrons does NO2 have and how
many are in the structure below?

A. 16, 18
B. 17, 18
C. 18, 18
D. 16, 16
E. 15, 16

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41
Your Turn!
What type of bond exists between the C and O
atoms in CH2O (i.e., single, double, etc.)?
O
A. single bond
C
B. double bond
H H
C. triple bond
D. There is no bond between the C and the O
because the oxygen is bonded to a H:
C-H-H-O

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If more than one Lewis structure


can be drawn, which is correct?

 Experiment always decides

 Concepts such as formal charge and


resonance help to make predictions

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42
Example: H2SO4 O

1 S = 1 × 6e– = 6 e– H O S O H
4 O = 4 × 6e– = 24 e– O
2 H = 2 × 1e– = 2 e– O
Total = 32 e–
single bonds – 12 e– H O S O H
20 e– O
O lone pairs – 20 e– O
0 e–
H O S O H
• n = 3, has empty d orbitals
• Could expand its octet O
• Could write structure with double bonds.
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How Do We Know Which is Accurate?


Experimental evidence
 In this case bond lengths from X-ray data
 S—O bonds (no H attached) are shorter 142 pm
 S—O—H, S—O longer 157 pm
 Indicates that two bonds are shorter than the
other two
 Structure with S=O for two O’s without H’s is
more accurate
 Preferred Lewis structure
 Even though it seems to violate octet rule
unnecessarily
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43
Formal Charge (FC)
 Apparent charge on atom
 Bookkeeping method
 Does not represent real charges
FC = # valence e–
– [# unshared e– + ½ (# bonding e–)]
FC = # valence e–
– [# bonds to atom + # unshared e–]
 Indicate formal charges by placing them in
circles around atoms
 Sum of FC on all atoms must equal the
overall charge on ion or molecule
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FC = #valence e– − [#bonds to atom


+ # unshared e– ]
-1 Structure 1
O FCS = 6 – (4 + 0) = 2
+2 FCH = 1 – (1 + 0) = 0
H O S O H FCO(s) = 6 – (1 + 6) = –1
O -1 FCO(d) = 6 – (2 + 4) = 0

O Structure 2
FCS = 6 – (6 + 0) = 0
H O S O H FCH = 1 – (1 + 0) = 0
FCO(s) = 6 – (2 + 4) = 0
O
FCO(d) = 6 – (2 + 4) = 0
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44
H2SO4
 No formal charges on any atom in structure 2
Conclusion:
 When several Lewis structures are possible
 Those with smallest formal charges
 Most stable
 Preferred
Most Stable Lewis Structure
1. Lowest possible formal charges are best
2. All FC ≤ |1|
3. Any negative FC on most electronegative element
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Example: CO2
1 C = 1 × 4e– = 4 e–
2 O = 2 × 6e– = 12 e–
Total = 16 e–
single bonds – 4 e–
12 e–
O lone pairs – 12 e–
0 e–
 C only has four
electrons
 Need two extra bonds  Which of these is correct?
to O to complete octet  Need another criteria
 3 ways you can do this  Come back to this
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45
CO2 Which Structure is Best
 Use formal charge to +1 −1
determine which
structure is best
FCC = 4 – (4 + 0) = 0
FCO(single) = 6 – (1 + 6) = –1
FCO(double) = 6 – (2 + 4) = 0
FCO(triple) = 6 – (3 + 2) = +1
-1 +1
 Central structure best
 All FC’s = 0
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Can Use Formal Charges to Explain


Boron Chemistry
 BCl3
 Why doesn’t a double bond form here?
 FCB = 3 – 0 – 3 = 0
 FCCl = 7 – 6 – 1 = 0
 All FCs = 0 so the molecule has the best
possible structure
 It doesn’t need to form double bond

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46
Your Turn!
What is the formal charge on Xe for the
following?

A. +2, +4
B. +2, +3
C. +4, 0
D. +4, +2

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.

Your Turn!
What is the formal charge on each atom in the
structure below?

O N S

A. O: -2 N: 0 S: -2
B. O: 0 N: 0 S: 0
C. O: -1 N: 0 S: -1
D. O: -2 N: +1 S: +2
E. O: -1 N: 0 S: 0

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47
Resonance: Explaining Multiple
Equivalent Lewis Structures
 Can use formal charge to decide between two
different Lewis structures
 Need an explanation of equivalent structures
 The resonance concept provides the way to
interpret equivalent structures

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Resonance: When a Single Lewis


Structure Fails
Example: NO3–
1 N = 1 × 5e– = 5 e–
3 O = 3 × 6e– = 18 e–
–1 charge = 1 e–
Total = 24 e–
single bonds – 6 e–
18 e–
O lone pairs –18 e–
0 e–
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48
Example: NO3–
 Lewis structure predicts
one bond shorter than
other two
Experimental observation:
• All three N—O bond lengths are same
• All shorter than N—O single bonds
• Have to modify Lewis Structure
• Electrons cannot distinguish O atoms
• Can write two or more possible structures
simply by moving where electrons are
• Changing placement of electrons
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.

What are Resonance Structures?


 Multiple Lewis structures for single molecule
 No single Lewis structure is correct
 Structure not accurately represented by any one Lewis
structure
 Actual structure = “average” of all possible structures
 Double headed arrow between resonance structures
used to denote resonance

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49
Resonance Structures
 Lewis structures assume electrons are
localized between 2 atoms
 In resonance structures, electrons are
delocalized
 Smeared out over all atoms
 Can move around entire molecule to give
equivalent bond distances
Resonance Hybrid
 Way to depict
resonance delocalization
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.

Example: CO32–

1 N = 1 × 5e– = 5 e–
3 O = 3 × 6e– = 18 e–
−1 charge = 1 e–
Total = 24 e–
single bonds – 6 e–
18 e–
O lone pairs –18 e–
0 e–
C only has 6 electrons so
a double bond is needed
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50
Three Equivalent Resonance
Structures

 All have same net formal charges on C and O’s


 FC = –1 on singly bonded O’s
 FC = O on doubly bond O and C

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Resonance Structures Not Always


Equivalent
 Two or more Lewis Structures for same compound
may or may not represent electron distributions of
equal energy
How Do We Determine Which are Good
Contributors?
1. All octets are satisfied
2. All atoms have as many bonds as possible
3a. FC ≤ 1
3b. Any negative charges are on the more
electronegative atoms.

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51
Drawing Good Resonance Structures
1. All must be valid Lewis Structures
2. Only electrons are shifted
 Usually double or triple bond and lone pair
 Nuclei can't be moved
 Bond angles must remain the same
3. Number of unpaired electrons, if any, must remain
the same
4. Major contributors are the ones with lowest
potential energy (see above)
5. Resonance stabilization is most important when
delocalizing charge onto two or more atoms
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Example: NCO−

1 C = 1 × 4e– = 4 e–
1 N = 1 × 5e– = 5 e–
1 O = 1 × 6e– = 6 e–
–1 charge = 1 e–
Total = 16 e–
single bonds – 4 e–
12 e–
lone pairs –12 e–
0 e–

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52
Example: NCO–
FCN = 5 – 2 – 3 = 0 −1

FCC = 4 – 0 – 4 = 0 Best
FCO = 6 – 6 – 1 = –1

FCN = 5 – 4 – 2 = –1 −1

FCC = 4 – 0 – 4 = 0 OK
FCO = 6 – 4 – 2 = 0

FCN = 5 – 6 – 1 = –2 −2 +1
FCC = 4 – 0 – 4 = 0 Not
Accept-
FCO = 6 – 2 – 3 = +1 able
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Resonance Stabilization

 Actual structure is more stable than either


single resonance structure

 For benzene
 The extra stability is ~146 kJ/mol
 Resonance energy
 Extra stabilization energy from resonance
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53
Your Turn!
Which of the following is false?
A. Not all resonance structures for a given
molecule are equivalent
B. Resonance structures indicate that the
molecule rapidly switches between multiple
electron distributions
C. Resonance structures are necessary when a
single Lewis structure is not sufficient to
depict the electron distribution in a molecule
D. Formal charges are calculated the same way
in resonance structures as in other structures
Brady/Jespersen/Hyslop, Chemistry7E, Copyright © 2015 John Wiley & Sons, Inc. All Rights Reserved. 107
.

Your Turn!
Which of the structures below exhibit resonance
(hint: there is more than one)?
A. NO2
B. H2O
C. N3–
D. N2O (nitrogen is central atom)
E. CH3CH2CH

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54
Coordinate Covalent Bonds
Ammonia
 Normal covalent bonds
 One electron from each atom shared
between the two
H

3H + N N
H H

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Coordinate Covalent Bond


Ammonium Ion
 H+ has no electrons
 N has lone pair
 Can still get 2 electrons shared between
them
H H +

N + H+ H N H
H H
H
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55
Coordinate Covalent Bond
 Both electrons of shared pair come from just
one of two atoms
 Once bond formed, acts like any other
covalent bond
 Can't tell where electrons came from after
bond is formed
 Useful in understanding chemical reactions

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Coordinate Covalent Bond

 Especially boron (electron deficient


molecule) reacts with nitrogen compounds
that contain lone pair of electrons

H Cl H Cl

N + B H N B Cl
H H Cl Cl
H Cl

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56
Learning Check
Example: Draw the best Lewis structure for
the following
HClO4

XeF4

I3–

BrF5
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Carbon Compounds
 Carbon-containing compounds
 Exist in large variety
 Mostly due to multiple ways in which C can form
bonds

 Functional groups
 Groups of atoms with similar bonding
 Commonly seen in C compounds

 Molecules may contain more than one


functional group
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57
Important Compounds of Carbon
Alkanes e.g.,
 Hydrocarbons CH4 methane
 Only single bonds CH3CH3 ethane
CH3CH2CH3 propane
Isomers
 Same molecular formula H
 Different physical properties H C H
 Different connectivity H H
(structure) H C C C H
H H H H
H H H
H C C C C H
butane iso-butane
H H H H
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Hydrocarbons
H C C H ethylene
 Alkenes (ethene)
 Contain at least one H H
H H
double bond
H C C C C H
butene
H H H H

H C C H acetylene
 Alkynes (ethyne)
H H
 Contain at least one
triple bond H C C C C H
butyne
H H
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58
Oxygen Containing Organics
 Alcohols H H H
 Replace H with OH H C O H C C O
H H H H H
methanol ethanol

 Ketones H O H
 Replace CH2 with H C C C H
C=O
H H
 Carbonyl group
acetone
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.

Carbonyl Group
 Carbon in hydrocarbon with double
bond to oxygen
 Aldehydes
 Ketones
 Carboxylic acids

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Oxygen Containing Organics
 Aldehydes H O
 At least one atom
H C C H
attached to C=O is H
H
acetaldehyde

 Organic Acids H O
 Contains carboxyl H C C O
group
H H
 COOH
acetic acid

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.

Nitrogen Containing Organics


 Amines
 Derivatives of NH3 with H’s replaced by alkyl
groups

H H H H H
H C N H H C N C H
H H H
methylamine dimethylamine

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60
Your Turn!
How many isomers are there of butanol?
A. none
B. 2
C. 3
D. 6
E. 4

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Your Turn!
Which molecule contains a carbonyl group
(hint: draw the Lewis structures to help
decide)?
A. C2H6O CH3-O-CH3
B. N(CH3)3 amine
C. CH3CCH alkyne (CH3-C≡H)
D. CH4O alcohol (CH3-O-H)
E. CH2O aldehyde O
C
H H
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