Unit 9: Molecular Geometry
AP Chemistry, Kreipe
T1: use the VESPR theory and Lewis Dot Diagrams to explain molecular geometry. T2: predict the polarity of a molecule based on molecular geometry and
electronegativity.
T3: explain the concept of SP 1, 2, and 3 hybridization and its relationship to geometric structure.
T4: describe various bonds in terms of pi and sigma overlap including delocalization.
Bond
Hybridization
Overlap and Bonding
• We think of covalent bonds forming through the sharing of electrons by adjacent atoms.
• In a quantum mechanics approach a chemical bond is
defined as when orbitals on the two atoms overlap.
Hybridization
• How/why is it possible for atoms to form more than 4 bonds with expanded valence shells of more than 8 electrons?
• Why does a carbon atom form a tetrahedral? If P
orbitals are on 90 degree axis, shouldn’t carbon form a square geometry?
Hybrid Orbitals
• Consider beryllium: • In its ground
electronic state, it
would not be able to
form bonds because it has no singly-occupied orbitals.
• The Lewis dot-diagram should look like this: • With 0 bonding pairs and 1 non-bonding pair • This means Be should NOT bond, EVER.
• But what we observe in science and draw is this: • With separate bonding electrons in separate
orbitals…
Be
Hybrid Orbitals
• If Be absorbs the
small amount of energy needed to promote one
electron from the 2s to the 2p orbital, it can form two bonds.
• It does this through
Hybrid Orbitals
•Mixing the s and p orbitals yields two orbitals that are hybrids of the two orbitals. Called an “sp” orbital.
•These sp hybrid orbitals have two lobes like a p orbital.
Hybrid Orbitals
• These two “sp hybrid orbitals” would align
themselves 180 from each other, as far apart as possible.
• This is consistent with the observed geometry
Hybrid Orbitals
• With hybrid orbitals the orbital diagram for
beryllium would look like this.
Hybrid Orbitals
Hybrid Orbitals
Mixing 1 s orbital and 2 p orbitals makes 3 “sp2
orbitals.”
The 3 seperate Sp2 orbitals
repel into a
Hybrid Orbitals
Hybrid Orbitals
1 s orbital and 3 p
orbitals combine
to form four “sp
3”
orbitals.
The four sp
3orbitals repel to
the corners of a
tetrahedral
Hybrid Orbitals
• For geometries involving expanded octets on the
central atom, we must use d orbitals in our hybrids.
• This is because we have used all of the p orbitals up!
• Group 5 elements can make five sp3d orbitals by
Hybrid Orbitals
• This leads to five sp3d orbitals
that push apart to form a trigonal pyramidal geometry.
• …or elements in group 6 hybridize to make six sp3d2
orbitals.
VSEPR +
Geometry
VSEPR
• Valence-Shell Electron-Pair Repulsion Model:
Electron bonding and lone pairs will repel each other to be as geometrically distant as possible.
• By assuming the electron pairs are placed as
Electron Domains
• Electron Domain: An area of space occupied
by a lone pair or a bonding pair of electrons around a central atom.
• Lone Pair Electrons: non-bonding (spare)
electrons
• Bonding Pair Electrons: electron pair shared in
bond
• Double/triple bonds count as ONE electron
• Lets derive some geometric arrangements… together!
5 Basic Electron
Domain Geometries
• This chart summarizes the MAXIMUM
3-D geometric separation of 2, 3, 4, 5, and 6 electron domains.
• ALL molecules have one of these 5
electron domain geometries.
• Some have different MOLECULAR
Molecular Geometries
• Electron Domain Geometry: Geometry of ALL
electron pairs (both bonding and non-bonding) around an atom.
• Molecular Geometries: The geometry of the
Linear Molecular Geometries
• Linear: In this domain, there is only one
molecular geometry: linear.
Trigonal Planar Molecular
Geometries
• Trigonal Planar
• There are two molecular geometries: • Trigonal planar, if all the electron domains
are bonding
• Bent, if one of the domains is a nonbonding
Tetrahedral Electron Domain
• Tetrahedral
• There are three molecular
geometries:
• Tetrahedral, if all are bonding pairs
• Trigonal pyramidal if
one is a nonbonding pair
• Bent if there are two
Trigonal Bipyramidal Electron
Domain
• Unlike other electron
geometries, for Trigonal
Bipyramidal, there are two distinct positions in this
geometry:
• Axial: Point straight up/down • Equatorial: form triangle
Trigonal Bipyramidal Electron
Domain
• Trigonal
Bipyramidal
• There are four
Octahedral Electron Domain
• All positions are
equivalent in the octahedral
domain.
• There are three
molecular geometries:
• Octahedral
• Square pyramidal
Now you try…
• Sketch the Lewis dot diagram, and determine the
electron geometry as well as the molecular geometry of:
MgF2 H2O NH3 SCl4 BCl3
EDG:Linear Tetrahedral Tetrahedral Octahedral Trig planar
A few tweaks to bond angles…
• Nonbonding pairs are
physically larger than bonding pairs.
• Therefore, their repulsions
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 slightly by repelling adjacent electron
Multiple Geometries, One
Molecule
In larger molecules, it makes more sense to
talk about the geometry about each particular
atom rather than the geometry of the
Now you try…
• Determine the molecular geometry around all of the central atoms in the amino acid (protein building
block) Glycine. H2N-CH2-COOH
Trig Pyramidal Trig planar Tetrahedral
Molecular
Polarity
Polarity
• In Unit 8 we discussed bond
dipoles.
• Calculated by the difference
in electronegativity of the two bonding elements
• Represent with an arrow
pointing toward the higher EN atom
Polarity
By adding the individual bonddipoles, in a vector-like fashion, one can determine the overall dipole moment for the molecule.
Most of you should understand vectors from Physics last
year!
Molecule Dipole: If the sum of all bond
Polarity Examples
• So basically, any molecule that has
asymmetrical atoms of different
electronegativity or has asymmetrical lone pairs of e- will likely be “polar.”
• Molecules that are very symmetrical tend to be
non-polar.
Now you try…
• Determine whether the following molecules are polar or
non-polar. If polar than draw the net polarity directional arrow.
• CCl4
• 4 Bonding Pairs and 0 non-bonding pairs = Tetrahedral, all Cl dipoles cancel
• Non-Polar • PCl3
• 3 BP and 1 NBP = trigonal pyramidal, non-bonding pair is more
(-), polar
• H2O
• 2 BP and 2 NBP = Bent, 2 NBP are more (-) region, polar
• CO2
E- Cloud Bond
Overlaps
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
Sigma (
) Bonds
• Sigma bonds are characterized by
• Head-to-head overlap.
Pi (
) Bonds
•
Pi bonds are
characterized by
• Side-to-side overlap. • Electron density
Single Bonds
Single bonds are always bonds, because overlap is greater, resulting in a stronger
Multiple Bonds
Multiple Bonds
• In a double bond
containing molecule
like formaldehyde
(shown at left) an sp2
orbital on carbon
overlaps in fashion
with the
corresponding orbital on the oxygen.
• The unhybridized p
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
Delocalized Electrons: Resonance
When writing Lewis structures for species likeDelocalized 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.
• The pi bonding electrons in
the p orbitals are
Molecular
Orbitals
Molecular Orbital (MO)
Theory
Though valence bond theory effectively
conveys most
observed properties of ions and molecules,
there are some concepts better represented by
Molecular Orbital (MO)
Theory
• In MO theory, we invoke the wave nature
of electrons.
• If waves interact constructively, the
Molecular Orbital (MO)
Theory
If waves interact destructively, theMO Theory
• In H2 the two electrons go into the bonding
molecular orbital.
• The bond order is one
half the difference
between the number of bonding and anti-bonding electrons.
• Bond order =
MO Theory
For hydrogen, with
two electrons in
the bonding MO
and none in the
antibonding MO,
the bond order is
1MO Theory
• In the case of He2, the
bond order would be
1
2 (2 - 2) = 0
• Therefore, the bonding and
MO Theory
• For atoms with both s
and p orbitals, there are two types of
interactions:
• The s and the p
orbitals that face
each other overlap in
fashion.
MO Theory
• The resulting MO
diagram looks like this.
• There are both and
bonding molecular orbitals and * and
* anti-bonding
MO Theory
• The smaller p-block
elements in the second period have a sizeable
interaction between the s
and p orbitals.
• This flips the order of the s