MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Chapter 9Molecular Geometriesand Bonding Theories

Chemistry, The Central Science, 10th editionTheodore L. Brown, H. Eugene LeMay, Jr., and Bruce E. Bursten

John D. BookstaverSt. Charles Community College

St. Peters, MO 2006, Prentice-Hall, Inc.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

November 23 ONLINE PRACTICE QUESTIONS

UNIT 8 – BY NEXT SUNDAY!!!

WATCH PODCASTS 8-3 is this lesson

8-1 and 8-2 review of chapter 8

• Molecular Shapes

• VSEPR theory

• Electron Domain Geometry

• Molecular Geometry

• Hw for section 9.1 and 9.2 : 1,2,3,11 to 23 odd

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

What Determines the Shape of a Molecule?

• The Lewis structure is drawn with the atoms all in the same plane.

• The overall shape of the molecule will be determined by its bond angles.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

What Determines the Shape of a Molecule?

• Electron pairs, whether they be bonding or nonbonding, repel each other.

• By assuming the electron pairs are placed as far as possible from each other, we can predict the shape of the molecule.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

There are five fundamental geometries for molecular shape

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Electron Domains

• We can refer to the electron pairs as electron domains.

• Each pair of electrons count as an electron domain, whether they are in a lone pair, in a single, double or triple bond.

• This molecule has four electron domains.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Electron-Domain Geometries

• All one must do is count the number of electron domains in the Lewis structure.

• The geometry will be that which corresponds to that number of electron domains.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

In order to predict molecular shape, we assume the valence electrons repel each other. Therefore, the molecule adopts whichever 3D geometry minimizes this repulsion.

• We call this process Valence Shell Electron Pair Repulsion (VSEPR) theory.

• There are simple shapes for AB2 to AB6 molecules.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Electron domain geometry: When considering the geometry about the central atom, we consider all electrons (lone pairs and bonding pairs).

• When naming the molecular geometry, we focus only on the positions of the atoms.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• To determine the shape of a molecule, we distinguish between lone pairs (or non-bonding pairs, those not in a bond) of electrons and bonding pairs (those found between two atoms).

• We define the electron domain geometry (or orbital geometry) by the positions in 3D space of ALL electron pairs (bonding or non-bonding).

• The electrons adopt an arrangement in space to minimize e-e repulsion.

VSEPR ModelVSEPR Model

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Examples – Draw the Lewis structures, and then determine the orbital geometry of each. Indicate the number of electron domains first:

1. H2S

2. CO2

3. PCl34. CH4

5. SO2

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Examples – Draw the Lewis structures, and then determine the orbital geometry of each:

• e- domain orbital geometry

• or e- domain geom

1. H2S 4 tetrahedral

2. CO2 2 linear

3. PCl3 4 tetrahedral

4. CH4 4 tetrahedral

5. SO2 3 trigonal planar

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• To determine the electron pair ( electron domain) geometry:• draw the Lewis structure,

• count the total number of electron pairs around the central atom,

• arrange the electron pairs in one of the above geometries to minimize e-e repulsion, and count multiple bonds as one bonding pair.

• But then we have to account for the shape of the molecule

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Molecular Geometries

Within each electron domain, then, there might be more than one molecular geometry.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Linear Electron Domain

• In this domain, there is only one molecular geometry: linear.

• NOTE: If there are only two atoms in the molecule, the molecule will be linear no matter what the electron domain is.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Nonbonding Pairs and Bond Angle

• Nonbonding pairs are physically larger than bonding pairs.

• Therefore, their repulsions are greater; this tends to decrease bond angles in a molecule.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• By experiment, the H-X-H bond angle decreases on moving from C to N to O:

• Since electrons in a bond are attracted by two nuclei, they do not repel as much as lone pairs.

• Therefore, the bond angle decreases as the number of lone pairs increase.

104.5O107O

NHH

HC

H

HHH109.5O

OHH

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Similarly, electrons in multiple bonds repel more than electrons in single bonds.

C OCl

Cl111.4o

124.3o

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Multiple Bonds and Bond Angles

• Double and triple bonds place greater electron density on one side of the central atom than do single bonds.

• Therefore, they also affect bond angles.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Trigonal Planar Electron Domain

• There are two molecular geometries:Trigonal planar, if all the electron domains are

bondingBent, if one of the domains is a nonbonding pair.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Tetrahedral Electron Domain

• There are three molecular geometries:Tetrahedral, if all are bonding pairsTrigonal pyramidal if one is a nonbonding pairBent if there are two nonbonding pairs

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Examples – Same examples as before, now determine the the molecular geometry of each, including shapes and bond angles:

1. H2S

2. CO2

3. PCl34. CH4

5. SO2

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Examples – Determine the molecular geometry of each, including shapes and bond angles:

• Shape Angles

1. H2S bent <109°

2. CO2 linear 180°

3. PCl3 trigonal pyramid <109°

4. CH4 tetrahedral 109.5°

5. SO2 bent <120°

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Molecules with Expanded Valence Shells

• For elements of the 3rd shell and below, some atoms can have expanded octets.

• AB5 (trigonal bipyramidal) or AB6 (octahedral) electron pair geometries.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Trigonal Bipyramidal Electron Domain (5 e domains)

• There are two distinct positions in this geometry:AxialEquatorial

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Molecules with Expanded Valence Shells• To minimize ee repulsion, lone pairs are always placed

in equatorial positions.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Trigonal Bipyramidal(e- domain)

There are four distinct molecular geometries in this domain:

*Trigonal bipyramidal *Seesaw *T-shaped *Linear

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Trigonal Bipyramidal Electron Domain

Lower-energy conformations result from having nonbonding electron pairs in equatorial, rather than axial, positions in this geometry.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Octahedral electron domain

• 6 electron pairs

All positions are equivalent in the octahedral domain.There are three molecular geometries:

*Octahedral*Square pyramidal*Square planar

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Examples – Determine the Shape of each, indicate the electron domain, molecular geometry and angles.

1. PF5

2. XeF4

3. SF6

4. SCl4

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Examples – Determine the Shape of each:

1. PF5 trigonal bipyramid 90°, 120°

2. XeF4square planar 90°

3. SF6 octahedral 90°

4. SCl4 see-saw <90°,< 120°

See moving chart

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

November 28

• Large molecules

• Molecular shape and Polarity

• Hybridization

• Multiple bonding

• HW

• 25, 26, 35, 47, 51, 55

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Larger Molecules

In larger molecules, it makes more sense to talk about the geometry about a particular atom rather than the geometry of the molecule as a whole.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Larger Molecules

This approach makes sense, especially because larger molecules tend to react at a particular site in the molecule.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Shapes of Larger Molecules

• In acetic acid, CH3COOH, there are three central atoms.

• We assign the geometry about each central atom separately.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• 1

• 2

O

C C C HH

C C N H

HH

O

H

H

•Examples – Determine the shape and angles about each atom:

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Examples – Determine the shape and angles about each atom:

• 1

• 2

O

C C C HH

C C N H

HH

O

H

H

Trigonal planar linear

Bent trigonal pyramid

Trigonal planar

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• When there is a difference in electronegativity between two atoms, then the bond between them is polar.

• It is possible for a molecule to contain polar bonds, but not be polar.

• For example, the bond dipoles in CO2 cancel each other because CO2 is linear.

Molecular Shape and Molecular Shape and Molecular PolarityMolecular Polarity

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• In water, the molecule is not linear and the bond dipoles do not cancel each other.

• Therefore, water is a polar molecule.• The overall polarity of a molecule depends on its

molecular geometry.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Polarity

By adding the individual bond dipoles, one can determine the overall dipole moment for the molecule.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Polarity

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

To remember

• Trigonal Planar molecular shape if the 3 surroundings atoms are the same the molecule is non polar molecule because the dipoles cancel each other.

• Tetrahedral: if 4 surrounding atoms are the same molecule non-polar. This is important for carbon compounds with 4 single bonds.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Determine whether each is polar or nonpolar:

1. CCl42. PCl33. BF3

4. BrClFCH

5. SO3

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Determine whether each is polar or nonpolar:

1. CCl4 nonpolar

2. PCl3 polar

3. BF3 nonpolar

4. BrClFCH polar

5. SO3 nonpolar

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Overlap and Bonding

• We think of covalent bonds forming through the sharing of electrons by adjacent atoms.

• In such an approach this can only occur when orbitals on the two atoms overlap.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Overlap and Bonding

• Increased overlap brings the electrons and nuclei closer together while simultaneously decreasing electron-electron repulsion.

• However, if atoms get too close, the internuclear repulsion greatly raises the energy.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• HYBRIDIZATION

• VALENCE BOND THEORY (andbonds

• BOND ORDER

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

It’s hard to imagine tetrahedral, trigonal bipyramidal, and other geometries arising from the atomic orbitals we recognize.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Atomic orbitals can mix or hybridize in order to adopt an appropriate geometry for bonding.

• Hybridization is determined by the electron domain geometry.

sp Hybrid Orbitals

• Consider the BeF2 molecule (experimentally known to exist):

Hybrid Orbitals

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

• Consider beryllium: In its ground electronic

state, it would not be able to form bonds because it has no singly-occupied orbitals.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

But if it absorbs the small amount of energy needed to promote an electron from the 2s to the 2p orbital, it can form two bonds.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

• Mixing the s and p orbitals yields two degenerate orbitals that are hybrids of the two orbitals.These sp hybrid orbitals have two lobes like a p orbital.One of the lobes is larger and more rounded as is the s

orbital.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals (sp)

• These two degenerate orbitals would align themselves 180 from each other.

• This is consistent with the observed geometry of beryllium compounds: linear.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

• With hybrid orbitals the orbital diagram for beryllium would look like this.

• The sp orbitals are higher in energy than the 1s orbital but lower than the 2p.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

• Since only one of the Be 2p orbitals has been used in hybridization, there are two unhybridized p orbitals remaining on Be.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

sp2 Hybrid Orbitals• Important: when we mix n atomic orbitals we must get n

hybrid orbitals.• sp2 hybrid orbitals are formed with one s and two p

orbitals. (Therefore, there is one unhybridized p orbital remaining.)

• The large lobes of sp2 hybrids lie in a trigonal plane.

• All molecules with trigonal planar electron pair geometries have sp2 orbitals on the central atom.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals (sp2)

For boron

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

…three degenerate sp2 orbitals.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

November 29

• HYBRIDIZATION

• WITH MULTIPLE BONDS – VALENCE BOND THEORY

• ORDER OF A BOND

• PARAMAGNETIC DIAMAGNETIC MOLECULES

• PRACTICE PROBLEMS

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

With carbon we get…

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

…four degenerate

sp3 orbitals.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

sp2 and sp3 Hybrid Orbitals• sp3 Hybrid orbitals are formed from one s and three p

orbitals. Therefore, there are four large lobes.• Each lobe points towards the vertex of a tetrahedron.• The angle between the large lobs is 109.5.

• All molecules with tetrahedral electron pair geometries are sp3 hybridized.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybridization Involving d Orbitals• Since there are only three p-orbitals, trigonal bipyramidal

and octahedral electron domain geometries must involve d-orbitals.

• Trigonal bipyramidal electron domain geometries require sp3d hybridization.

• Octahedral electron domain geometries require sp3d2 hybridization.

• Note the electron domain geometry from VSEPR theory determines the hybridization.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Sp3d and sp3d2 Hybrid Orbitals

For geometries involving expanded octets on the central atom, we must use d orbitals in our hybrids.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

This leads to five degenerate sp3d orbitals…

…or six degenerate sp3d2 orbitals.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Summary

1. Draw the Lewis structure.

2. Determine the electron domain geometry with VSEPR.

3. Specify the hybrid orbitals required for the electron pairs based on the electron domain geometry.

Hybrid OrbitalsHybrid Orbitals

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Hybrid Orbitals

Once you know the electron-domain geometry, you know the hybridization state of the atom.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Determine the hybridization on the central atom of each:

1. NCl32. CO2

3. H2O

4. SF4

5. BF3

6. XeF4

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Determine the hybridization on the central atom of each:

1. NCl3 sp3

2. CO2 sp

3. H2O sp3

4. SF4 sp3d

5. BF3 sp2

6. XeF4sp3d2

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Determine the hybridization on EACH atom:

O

C C C HH

C C N H

HH

O

H

H

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Determine the hybridization on EACH atom:

O

C C C HH

C C N H

HH

O

H

H

sp2 sp

sp3

sp2

sp3

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Valence Bond Theory

• Hybridization is a major player in this approach to bonding.

• There are two ways orbitals can overlap to form bonds between atoms.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Sigma () Bonds

• Sigma bonds are characterized byHead-to-head overlap.Cylindrical symmetry of electron density about the

internuclear axis.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Pi () Bonds

• Pi bonds are characterized bySide-to-side overlap.Electron density

above and below the internuclear axis.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Single Bonds

Single bonds are always bonds, because overlap is greater, resulting in a stronger bond and more energy lowering.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Multiple Bonds

In a multiple bond one of the bonds is a bond and the rest are bonds.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Multiple Bonds

• In a molecule like formaldehyde (shown at left) an sp2 orbital on carbon overlaps in fashion with the corresponding orbital on the oxygen.

• The unhybridized p orbitals overlap in fashion.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Multiple Bonds

In triple bonds, as in acetylene, two sp orbitals form a bond between the carbons, and two pairs of p orbitals overlap in fashion to form the two bonds.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Delocalized Electrons: Resonance

When writing Lewis structures for species like the nitrate ion, we draw resonance structures to more accurately reflect the structure of the molecule or ion.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Delocalized Electrons: Resonance

• In reality, each of the four atoms in the nitrate ion has a p orbital.

• The p orbitals on all three oxygens overlap with the p orbital on the central nitrogen.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Delocalized Electrons: Resonance

This means the electrons are not localized between the nitrogen and one of the oxygens, but rather are delocalized throughout the ion.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Resonance

The organic molecule benzene has six bonds and a p orbital on each carbon atom.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Resonance

• In reality the electrons in benzene are not localized, but delocalized.

• The even distribution of the electrons in benzene makes the molecule unusually stable.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

General Conclusions• Every two atoms share at least 2 electrons.• Two electrons between atoms on the same axis as the

nuclei are bonds. -Bonds are always localized.• If two atoms share more than one pair of electrons, the

second and third pair form -bonds.• When resonance structures are possible, delocalization is

also possible.

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Bond Order• Bond Order = total number of covalent bonds between 2

atoms• Bond order = 1 for single bond.

• Bond order = 2 for double bond.

• Bond order = 3 for triple bond.

• If there is resonance then divide the bond order by the number of atoms that share the resonance structure.

• Fractional bond orders are possible (with resonance)

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Draw Lewis Structures (including resonance). Determine the total number of σ and π bonds in the molecule, and the bond order of each bond:

1. O3

2. SO3

3. CO2

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Examples – Draw Lewis Structures (including resonance). Determine the total number of σ and π bonds in the molecule, and the bond order of each bond:

1. O3

2. SO3

3. CO2

O

O

O O

O

O

2σ and 1π

Each bond 1.5

O

S

O

O

O

S

O

OO

S

O O

3σ and 1π each bond 1.33

O C O

2σ and 2π each bond 2

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Electron Configurations and Molecular Properties• Two types of magnetic behavior:

• paramagnetism (unpaired electrons in atom or molecule): strong attraction between magnetic field and molecule;

• diamagnetism (no unpaired electrons in atom or molecule): weak repulsion between magnetic field and molecule.

• Magnetic behavior is detected by determining the mass of a sample in the presence and absence of magnetic field:

MolecularGeometries

and Bonding

MolecularGeometries

and Bonding

Second-Row Diatomic Second-Row Diatomic MoleculesMolecules

Electron Configurations and Molecular Properties

• large increase in mass indicates paramagnetism,

• small decrease in mass indicates diamagnetism.