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High School Chemistry Rapid Learning Series - 17

Rapid Learning Center
Chemistry :: Biology :: Physics :: Math

Rapid Learning Center Presents ā€¦
p
g

Teach Yourself
High School Chemistry in 24 Hours

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Molecular Geometry

HS Ch i t R id Learning Series
Chemistry Rapid L
i
S i
Wayne Huang, PhD
Kelly Deters, PhD
Russell Dahl, PhD
Elizabeth James, PhD

Rapid Learning Center
www.RapidLearningCenter.com/
Ā© Rapid Learning Inc. All rights reserved.

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1
High School Chemistry Rapid Learning Series - 17

Learning Objectives
By completing this tutorial you will learnā€¦
Valence Shell Electron Pair
Repulsion Theory
p
y
Electronic and Molecular
Geometry

3/32

Concept Map
Previous content

Chemistry
New content
Studies

Matter
One type is

Valence
Valance
Bond
Bond
Theory
Theory

1 bonding
theory is

Shown with

Lewis
Lewis
Structures
Structures

Compounds

Molecular
Geometry
Used to
determine

Electronic
Geometry
4/32

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2
High School Chemistry Rapid Learning Series - 17

Electronic and
Molecular
Geometry

5/32

VSEPR Theory

V alence
S hell
E lectron
i
P air
Repulsion Theory
6/32

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3
High School Chemistry Rapid Learning Series - 17

What Does VSEPR Mean?
Bonds are made
of shared
electrons
(negatively
charged
subatomic
particles).

Negatively
charged things
repel each other.

Valence Sh ll El t
V l
Shell Electron P i
Pair

Geometry:
Bonds form as
far apart from
each other (and
other electrons)
as possible.

To predict
geometry

Repulsion
R
l i

VSEPR is a model used to predict molecular geometry based on
minimizing the electrostatic repulsion of valence electrons around a
central atom in a molecule.
7/32

Definition: Electronic & Molecular
Geometry
Electronic Geometry ā€“ Uses the
VSEPR theory with the electron
y
regions around the central atom. An
electron bond is a bond (single,
double or tripleā€¦they all count as
one region).

Electron Geometry:
H2O = Tetrahedral
(with 2 electron lone pairs)

Molecular Geometry ā€“ Uses the
VSEPR theory with the atoms
bonded around the central atom
(spatial arrangement).
8/32

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Molecular Geometry:
H2O = Bent
(No electrons shown)

4
High School Chemistry Rapid Learning Series - 17

How to Count Electron Regions
Electronic geometry depends on electron regions
surrounding the central atom.
1
NH3 has 4
electron
regions.

2

H N H
3

H

Each Bond
Type

Electron
Region

Single Bond

4

1

H C

Double Bond

N

1

1

Triple Bond

1

Lone Pair

HCN has 2
electron
regions.

1

2
The triple bond
has only one
electron region.

9/32

Chemical Formulas for Geometry
Each geometry has a ā€œgenericā€ chemical formula.
Central Atom

Lone Pairs on Central Atom

A X E
Two Types of Electron Regions:
E ā€“ ā€œLone Pairā€ Electron Region
X ā€“ ā€œBondedā€ Electron Region

Atoms Bonded to
Central Atom (ā€œLigandā€)

e.g.

AX3E

X A X
X

10/32

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5
High School Chemistry Rapid Learning Series - 17

Linear Geometry
AX2

- Central Atom
- Electron Region

2 electron regions

Bonds 180Ā° apart

Named: looks like a ā€œlineā€.
Examples: CO2, BeH2
11/32

Trigonal Planar Geometry
AX3

- Central Atom
- Electron Region

3 electron regions

Bonds 120Ā° apart

Named: Itā€™s a flat (ā€œplanarā€) triangle.
Examples: BF3, C2H4
12/32

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6
High School Chemistry Rapid Learning Series - 17

Tetrahedron Geometry
AX4

- Central Atom

4 electron regions

- Electron Region

Bonds 109.5Ā° apart
Named: If each plane (defined by 3 points) is covered, itā€™s a 4
(ā€œtetraā€) sided object (ā€œhedronā€).
Examples: CH4, SO2Cl2
13/32

Trigonal Bipyramidal Geometry
AX5
5 electron regions

- Central Atom
- Electron Region

Bonds: Inside ā€œTriangleā€ = 120Ā°
Triangle
120
Between top/triangle/bottom = 90Ā°
Named: If each plane (defined by 3 points) is covered, 2
pyramids with triangular bases are sitting base-to-base.
Examples: PCl5, AsF5
14/32

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7
High School Chemistry Rapid Learning Series - 17

Octahedron Geometry
AX6
6 electron regions

- Central Atom
- Electron Region

Bonds: 90
90Ā°
Named: If each plane (defined by 3 points) is covered, itā€™s an
8 (ā€œOctaā€) sided object (ā€œhedronā€).
Examples: SF6, PF615/32

Determining Electronic Geometry
Electronic geometry is determined by electron regions.
Electron
regions

Angle between
regions

2

Linear

180Ā°

3

Trigonal Planar

120Ā°

4

Tetrahedral

109.5Ā°

5

Trigonal Bipyramidal

90Ā° and 120Ā°

6

16/32

Name of geometry

Octahedron

Picture

90Ā°

Electronic Geometry Mnemonic: Linear(2) ā€“ Trigonal Planar(3) ā€“ Tetrahedral
(4) ā€“ Trigonal Bipyramidal(5) ā€“ Octahedron(6) = Long TriP To TriBe Overseas.

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8
High School Chemistry Rapid Learning Series - 17

Determining Molecular Geometry
Molecular geometry is determined by # of atoms bonded to
the central atom (= #Electron Regions - #Lone Pairs).
Formula

Name of geometry

Angle between
bonded atoms

AX2

Linear

180Ā°

AX3

Trigonal Planar

120Ā°

AX4

Tetrahedral

109.5
109 5Ā°

AX5

Trigonal Bipyramidal

90Ā° and 120Ā°

AX6

Octahedron

Picture

90Ā°

17/32

Geometry with Lone Pairs
Use the formula to determine the electronic geometry.
Each atom bonded to the central atom (ligand)
counts as 1. Each lone pair on the central atom
counts as 1.
e.g. AX2E2
2 bonds & 2 lone pairs
= 4 electron regions
Electronic: Tetrahedral
Molecular: Bent
To determine molecular geometry, first determine
the electronic geometry and then remove lone pairs
and re-name the geometry.
18/32

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9
High School Chemistry Rapid Learning Series - 17

Bent Geometry with 1 Lone Pair
AX2E

E

Remove 1 ā€œEā€

Start with 3 electron regions (2X+E).
Trigonal Planar

Bent 120Āŗ

Named: It looks like a ā€œbentā€ line.
Examples: SO2, O3
19/32

Bent Geometry with 2 Lone Pairs
AX2E2
E

Remove 2 ā€œEā€s
E

Start with 4 electron regions (2X+2E).
Tetrahedron

Bent 109.5Āŗ

Named: It looks like a ā€œbentā€ line.
Examples: H2O, SF2
20/32

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10
High School Chemistry Rapid Learning Series - 17

Trigonal Pyramidal Geometry
AX3E
E

Remove 1 ā€œEā€

Start with 4 electron regions (3X+E).
Tetrahedron

Trigonal Pyramidal

Named: It looks like a pyramid with a triangular base.
Examples: NH3, SOCl2
21/32

See-Saw Geometry
AX4E

E

Remove 1 ā€œEā€

Start with 5 electron regions (4X+E).
Trigonal Bipyramidal
Named: It looks like a see-saw.
Examples: SF4, O2XeF2

See-Saw

Note: This geometry has two
different ligand positions, axial
and equatorial. The lone pair at
equatorial would be less
crowded and more favorable.

22/32

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11
High School Chemistry Rapid Learning Series - 17

T-Shaped Geometry
AX3E2

E

Remove 2 ā€œEā€s
E

Start with 5 electron regions (3X+2E).
Trigonal Bipyramidal
Named: It looks like a ā€œTā€.
Examples: ClF3, BrF3

T-Shaped

Note: This geometry has two
different ligand positions, axial
and equatorial. The lone pairs
at equatorial would be less
crowded and more favorable.

23/32

Linear with 3 Lone Pairs
AX2E3

E

E

Remove 3 ā€œEā€s

E

Start with 5 electron regions (2X+3E).
Trigonal Bipyramidal
Named: It looks like a ā€œlineā€.
Examples: XeF2, I3-

Linear

Note: This geometry has two
different ligand positions, axial
and equatorial. The lone pairs
at equatorial would be less
crowded and more favorable.

24/32

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12
High School Chemistry Rapid Learning Series - 17

Square Pyramidal Geometry
AX5E
E

Remove 1 ā€œEā€

Start with 6 electron regions (5X+E).
Octahedron

Square Pyramidal

Named: It looks like a pyramid with a square base.
Examples: BrF5, IF5
25/32

Square Planar Geometry
AX4E2
E

Remove 2 ā€œEā€s
E

Start with 6 electron regions (4X+2E).
Octahedron

Square Planar

Named: It looks a flat (ā€œplanarā€) square.
Examples: ICl4-, XeCl4
26/32

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13
High School Chemistry Rapid Learning Series - 17

Effect of Lone Pairs on Molecular Geometry
Both molecules have 4 electron regions:

H
H C H
H

H N H
H

These electrons
(lone pair) are not
being ā€œcontrolledā€
by another nucleus.

Lone pairs take up more space than a bonding pairā€”they distort
the bond angles slightly (push the bonding pairs closer).
Instead of being 109.5Ā° angles (tetrahedron), the angles are 107.3Ā°.

107.3Ā°
27/32

H N H
H

107.3Ā°

107.3Ā°

2D Drawing

3D Drawing

Determining Geometry with Lone Pairs
Formula

Name of geometry

AX2E

Bent

AX2E2

Bent

AX3E

Trigonal Pyramidal

AX4E

See-Saw

AX3E2

T-Shaped

AX2E3

Linear

AX5E

Square pyramidal

AX4E2

Picture

Square planar

28/32

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14
High School Chemistry Rapid Learning Series - 17

Determining Geometry - Example
Example: Give the electronic and molecular geometry for H2O.

Lone Pair 1

2 Bond

H O H
Bond 4

3 Lone Pair

Step 1: Draw the Lewis Structure.
Step 2: Determine # of electron regions (bonding and lone pair regions).
Step 3: Determine electronic geometry (based on # of electron regions).
4 electron regions = tetrahedral
Step 4: Determine molecular geometry. Count atoms bonded to and
lone pairs around the central atom. Ignore the lone pairs and adjust the
geometry (bond angles).
H2O: 2 bonded atoms and 2 lone pairs = bent molecular geometry.

29/32

Note: This problem is commonly answered incorrectly as
it ā€œlooksā€ linear as itā€™s written above. However the lone
pairs make it bent!

Learning Summary

Valence Shell Electron
Pair Repulsion Theory
(VSEPR) is used to
determine geometry of
molecules (by
minimizing the electroni i i i th l t
pair repulsion).

Electronic geometry is
determined by electron
regions, while
molecular geometry is
determined by atoms
bonded t th
b d d to the central
t l
atom (bonding pairs).

30/32

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15
High School Chemistry Rapid Learning Series - 17

Congratulations
You have successfully completed
the tutorial

Molecular Geometry
Rapid Learning Center

Rapid Learning Center
Chemistry :: Biology :: Physics :: Math

Whatā€™s N t
Wh tā€™ Next ā€¦

Step 1: Concepts ā€“ Core Tutorial (Just Completed)
Step 2: Practice ā€“ Interactive Problem Drill
Step 3: Recap ā€“ Super Review Cheat Sheet

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Molecular geometry

  • 1. High School Chemistry Rapid Learning Series - 17 Rapid Learning Center Chemistry :: Biology :: Physics :: Math Rapid Learning Center Presents ā€¦ p g Teach Yourself High School Chemistry in 24 Hours 1/32 http://www.RapidLearningCenter.com Molecular Geometry HS Ch i t R id Learning Series Chemistry Rapid L i S i Wayne Huang, PhD Kelly Deters, PhD Russell Dahl, PhD Elizabeth James, PhD Rapid Learning Center www.RapidLearningCenter.com/ Ā© Rapid Learning Inc. All rights reserved. Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 1
  • 2. High School Chemistry Rapid Learning Series - 17 Learning Objectives By completing this tutorial you will learnā€¦ Valence Shell Electron Pair Repulsion Theory p y Electronic and Molecular Geometry 3/32 Concept Map Previous content Chemistry New content Studies Matter One type is Valence Valance Bond Bond Theory Theory 1 bonding theory is Shown with Lewis Lewis Structures Structures Compounds Molecular Geometry Used to determine Electronic Geometry 4/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 2
  • 3. High School Chemistry Rapid Learning Series - 17 Electronic and Molecular Geometry 5/32 VSEPR Theory V alence S hell E lectron i P air Repulsion Theory 6/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 3
  • 4. High School Chemistry Rapid Learning Series - 17 What Does VSEPR Mean? Bonds are made of shared electrons (negatively charged subatomic particles). Negatively charged things repel each other. Valence Sh ll El t V l Shell Electron P i Pair Geometry: Bonds form as far apart from each other (and other electrons) as possible. To predict geometry Repulsion R l i VSEPR is a model used to predict molecular geometry based on minimizing the electrostatic repulsion of valence electrons around a central atom in a molecule. 7/32 Definition: Electronic & Molecular Geometry Electronic Geometry ā€“ Uses the VSEPR theory with the electron y regions around the central atom. An electron bond is a bond (single, double or tripleā€¦they all count as one region). Electron Geometry: H2O = Tetrahedral (with 2 electron lone pairs) Molecular Geometry ā€“ Uses the VSEPR theory with the atoms bonded around the central atom (spatial arrangement). 8/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com Molecular Geometry: H2O = Bent (No electrons shown) 4
  • 5. High School Chemistry Rapid Learning Series - 17 How to Count Electron Regions Electronic geometry depends on electron regions surrounding the central atom. 1 NH3 has 4 electron regions. 2 H N H 3 H Each Bond Type Electron Region Single Bond 4 1 H C Double Bond N 1 1 Triple Bond 1 Lone Pair HCN has 2 electron regions. 1 2 The triple bond has only one electron region. 9/32 Chemical Formulas for Geometry Each geometry has a ā€œgenericā€ chemical formula. Central Atom Lone Pairs on Central Atom A X E Two Types of Electron Regions: E ā€“ ā€œLone Pairā€ Electron Region X ā€“ ā€œBondedā€ Electron Region Atoms Bonded to Central Atom (ā€œLigandā€) e.g. AX3E X A X X 10/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 5
  • 6. High School Chemistry Rapid Learning Series - 17 Linear Geometry AX2 - Central Atom - Electron Region 2 electron regions Bonds 180Ā° apart Named: looks like a ā€œlineā€. Examples: CO2, BeH2 11/32 Trigonal Planar Geometry AX3 - Central Atom - Electron Region 3 electron regions Bonds 120Ā° apart Named: Itā€™s a flat (ā€œplanarā€) triangle. Examples: BF3, C2H4 12/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 6
  • 7. High School Chemistry Rapid Learning Series - 17 Tetrahedron Geometry AX4 - Central Atom 4 electron regions - Electron Region Bonds 109.5Ā° apart Named: If each plane (defined by 3 points) is covered, itā€™s a 4 (ā€œtetraā€) sided object (ā€œhedronā€). Examples: CH4, SO2Cl2 13/32 Trigonal Bipyramidal Geometry AX5 5 electron regions - Central Atom - Electron Region Bonds: Inside ā€œTriangleā€ = 120Ā° Triangle 120 Between top/triangle/bottom = 90Ā° Named: If each plane (defined by 3 points) is covered, 2 pyramids with triangular bases are sitting base-to-base. Examples: PCl5, AsF5 14/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 7
  • 8. High School Chemistry Rapid Learning Series - 17 Octahedron Geometry AX6 6 electron regions - Central Atom - Electron Region Bonds: 90 90Ā° Named: If each plane (defined by 3 points) is covered, itā€™s an 8 (ā€œOctaā€) sided object (ā€œhedronā€). Examples: SF6, PF615/32 Determining Electronic Geometry Electronic geometry is determined by electron regions. Electron regions Angle between regions 2 Linear 180Ā° 3 Trigonal Planar 120Ā° 4 Tetrahedral 109.5Ā° 5 Trigonal Bipyramidal 90Ā° and 120Ā° 6 16/32 Name of geometry Octahedron Picture 90Ā° Electronic Geometry Mnemonic: Linear(2) ā€“ Trigonal Planar(3) ā€“ Tetrahedral (4) ā€“ Trigonal Bipyramidal(5) ā€“ Octahedron(6) = Long TriP To TriBe Overseas. Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 8
  • 9. High School Chemistry Rapid Learning Series - 17 Determining Molecular Geometry Molecular geometry is determined by # of atoms bonded to the central atom (= #Electron Regions - #Lone Pairs). Formula Name of geometry Angle between bonded atoms AX2 Linear 180Ā° AX3 Trigonal Planar 120Ā° AX4 Tetrahedral 109.5 109 5Ā° AX5 Trigonal Bipyramidal 90Ā° and 120Ā° AX6 Octahedron Picture 90Ā° 17/32 Geometry with Lone Pairs Use the formula to determine the electronic geometry. Each atom bonded to the central atom (ligand) counts as 1. Each lone pair on the central atom counts as 1. e.g. AX2E2 2 bonds & 2 lone pairs = 4 electron regions Electronic: Tetrahedral Molecular: Bent To determine molecular geometry, first determine the electronic geometry and then remove lone pairs and re-name the geometry. 18/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 9
  • 10. High School Chemistry Rapid Learning Series - 17 Bent Geometry with 1 Lone Pair AX2E E Remove 1 ā€œEā€ Start with 3 electron regions (2X+E). Trigonal Planar Bent 120Āŗ Named: It looks like a ā€œbentā€ line. Examples: SO2, O3 19/32 Bent Geometry with 2 Lone Pairs AX2E2 E Remove 2 ā€œEā€s E Start with 4 electron regions (2X+2E). Tetrahedron Bent 109.5Āŗ Named: It looks like a ā€œbentā€ line. Examples: H2O, SF2 20/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 10
  • 11. High School Chemistry Rapid Learning Series - 17 Trigonal Pyramidal Geometry AX3E E Remove 1 ā€œEā€ Start with 4 electron regions (3X+E). Tetrahedron Trigonal Pyramidal Named: It looks like a pyramid with a triangular base. Examples: NH3, SOCl2 21/32 See-Saw Geometry AX4E E Remove 1 ā€œEā€ Start with 5 electron regions (4X+E). Trigonal Bipyramidal Named: It looks like a see-saw. Examples: SF4, O2XeF2 See-Saw Note: This geometry has two different ligand positions, axial and equatorial. The lone pair at equatorial would be less crowded and more favorable. 22/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 11
  • 12. High School Chemistry Rapid Learning Series - 17 T-Shaped Geometry AX3E2 E Remove 2 ā€œEā€s E Start with 5 electron regions (3X+2E). Trigonal Bipyramidal Named: It looks like a ā€œTā€. Examples: ClF3, BrF3 T-Shaped Note: This geometry has two different ligand positions, axial and equatorial. The lone pairs at equatorial would be less crowded and more favorable. 23/32 Linear with 3 Lone Pairs AX2E3 E E Remove 3 ā€œEā€s E Start with 5 electron regions (2X+3E). Trigonal Bipyramidal Named: It looks like a ā€œlineā€. Examples: XeF2, I3- Linear Note: This geometry has two different ligand positions, axial and equatorial. The lone pairs at equatorial would be less crowded and more favorable. 24/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 12
  • 13. High School Chemistry Rapid Learning Series - 17 Square Pyramidal Geometry AX5E E Remove 1 ā€œEā€ Start with 6 electron regions (5X+E). Octahedron Square Pyramidal Named: It looks like a pyramid with a square base. Examples: BrF5, IF5 25/32 Square Planar Geometry AX4E2 E Remove 2 ā€œEā€s E Start with 6 electron regions (4X+2E). Octahedron Square Planar Named: It looks a flat (ā€œplanarā€) square. Examples: ICl4-, XeCl4 26/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 13
  • 14. High School Chemistry Rapid Learning Series - 17 Effect of Lone Pairs on Molecular Geometry Both molecules have 4 electron regions: H H C H H H N H H These electrons (lone pair) are not being ā€œcontrolledā€ by another nucleus. Lone pairs take up more space than a bonding pairā€”they distort the bond angles slightly (push the bonding pairs closer). Instead of being 109.5Ā° angles (tetrahedron), the angles are 107.3Ā°. 107.3Ā° 27/32 H N H H 107.3Ā° 107.3Ā° 2D Drawing 3D Drawing Determining Geometry with Lone Pairs Formula Name of geometry AX2E Bent AX2E2 Bent AX3E Trigonal Pyramidal AX4E See-Saw AX3E2 T-Shaped AX2E3 Linear AX5E Square pyramidal AX4E2 Picture Square planar 28/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 14
  • 15. High School Chemistry Rapid Learning Series - 17 Determining Geometry - Example Example: Give the electronic and molecular geometry for H2O. Lone Pair 1 2 Bond H O H Bond 4 3 Lone Pair Step 1: Draw the Lewis Structure. Step 2: Determine # of electron regions (bonding and lone pair regions). Step 3: Determine electronic geometry (based on # of electron regions). 4 electron regions = tetrahedral Step 4: Determine molecular geometry. Count atoms bonded to and lone pairs around the central atom. Ignore the lone pairs and adjust the geometry (bond angles). H2O: 2 bonded atoms and 2 lone pairs = bent molecular geometry. 29/32 Note: This problem is commonly answered incorrectly as it ā€œlooksā€ linear as itā€™s written above. However the lone pairs make it bent! Learning Summary Valence Shell Electron Pair Repulsion Theory (VSEPR) is used to determine geometry of molecules (by minimizing the electroni i i i th l t pair repulsion). Electronic geometry is determined by electron regions, while molecular geometry is determined by atoms bonded t th b d d to the central t l atom (bonding pairs). 30/32 Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 15
  • 16. High School Chemistry Rapid Learning Series - 17 Congratulations You have successfully completed the tutorial Molecular Geometry Rapid Learning Center Rapid Learning Center Chemistry :: Biology :: Physics :: Math Whatā€™s N t Wh tā€™ Next ā€¦ Step 1: Concepts ā€“ Core Tutorial (Just Completed) Step 2: Practice ā€“ Interactive Problem Drill Step 3: Recap ā€“ Super Review Cheat Sheet Go for it! 32/32 http://www.RapidLearningCenter.com Ā© Rapid Learning Inc. All rights reserved. :: http://www.RapidLearningCenter.com 16