4.4.2 - Ideal Electron-Domain Geometries (No Lone Pairs)
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VSEPR Theory Overview
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Today, weβll delve into VSEPR theory, which helps us predict the shapes of molecules based on electron pair repulsion. Remember, electrons repel each other due to their negative charge.
What do you mean by electron pair repulsion?
Great question! It means that the electron pairs around a central atom will arrange themselves as far apart as possible. This arrangement leads us to the molecular geometries.
How does this relate to the number of bonding pairs?
Exactly! The geometry is determined by counting the bonding domains. If there are no lone pairs, the total number of bonding domains directly defines the shape.
Could you give us an example?
Sure! For two bonding pairs like in COβ, we say it has a linear geometry with a bond angle of 180Β°. That's a simple example of how VSEPR works!
So every shape has a different angle?
Precisely! Each geometry has specific bond angles unique to that arrangement. For instance, tetrahedral shapes have angles of about 109.5Β°.
To recap, VSEPR theory helps to visualize molecular shapes by considering electron pair repulsions, and we can use the number of bonding pairs to determine those shapes.
Types of Molecular Geometries - Linear and Trigonal Planar
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Let's focus on the first two ideal geometries: linear and trigonal planar. A linear geometry occurs when there are two bonding pairs.
What are some examples of linear molecules?
COβ is a classic example. The angle OβCβO is exactly 180Β°. Can anyone tell me why it looks this way?
Because there are only two atoms attached directly to a central atom?
Exactly! Now, for trigonal planar structures, they have three bonding domains with bond angles of 120Β°.
Could BFβ be an example?
Correct! In BFβ, the bonding pairs push away from each other, achieving those 120Β° angles.
In summary, linear geometry has 180Β° angles, while trigonal planar molecules have 120Β° angles, based on their bond domains.
Tetrahedral Geometry and Examples
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Next, let's explore tetrahedral geometry. This occurs with 4 bonding domains and features approximate angles of 109.5Β°.
Whatβs a good example of a tetrahedral molecule?
One well-known example is methane, CHβ. The carbon atom forms four single bonds with hydrogen atoms.
How can we visualize that?
You can think of tetrahedral shapes like a pyramid with a triangular base. The four hydrogen atoms spread out from the central carbon atom evenly.
So is the angle always around 109.5Β°?
Yes, and while we may see slight variations based on the molecule's specific environment, 109.5Β° is the ideal angle we refer to.
To summarize, tetrahedral geometries are characterized by four bonding pairs and an angle of about 109.5Β°.
Trigonal Bipyramidal and Octahedral Geometries
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Let's discuss trigonal bipyramidal and octahedral geometries. Starting with AXβ .
What does trigonal bipyramidal look like?
In this shape, there are five bonding domains. The bond angles are 90Β° for axial pairs and 120Β° for equatorial pairs. An example is PClβ .
How about octahedral geometries?
Good question! Octahedral geometries have 6 bonding domains all at 90Β°. SFβ is an example where sulfur is surrounded by six fluorine atoms.
Why is the bond angle always 90Β° in that case?
Because the arrangement maximizes the distance between the electron pairs, minimizing repulsions among them, resulting in 90Β° angles.
To recap, trigonal bipyramidal has angles of 90Β° and 120Β°, while octahedral geometry features 90Β° bond angles.
Summary of Geometries
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As we conclude our exploration of electron-domain geometries without lone pairs, letβs summarize what we've learned.
We covered linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral.
Correct! And the bond angles vary for each: 180Β° for linear, 120Β° for trigonal planar, and 109.5Β° for tetrahedral.
Also, we discussed the 90Β° and 120Β° angles for trigonal bipyramidal.
And octahedral angles are all 90Β°.
Yes! Each geometry can be determined by the total number of bonding pairs. Keep these shapes and angles in mind as they are critical for understanding molecular behavior.
Introduction & Overview
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Quick Overview
Standard
The section explains how the VSEPR theory is used to determine the molecular geometry of compounds without lone pairs, detailing the expected bond angles and examples for different electron-domain geometries such as linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral.
Detailed
Ideal Electron-Domain Geometries (No Lone Pairs)
In this section, we explore the Valence Shell Electron Pair Repulsion (VSEPR) theory, which is pivotal in determining the three-dimensional shapes of molecules based on the arrangement of electron domains around a central atom. Electrons, being negatively charged, repel each other, leading to specific geometrical arrangements to minimize this repulsion. When there are no lone pairs (m = 0), the geometry depends solely on the number of bonding domains (n).
The following are key geometries:
- Linear Geometry (AXβ): Occurs when there are 2 bonding domains. The bond angle is 180Β°. Example: Carbon dioxide (COβ), where the angle between OβCβO is 180Β°.
- Trigonal Planar Geometry (AXβ): Found with 3 bonding domains. The bond angles are approximately 120Β°. Example: Boron trifluoride (BFβ).
- Tetrahedral Geometry (AXβ): Present with 4 bonding domains, leading to bond angles of approximately 109.5Β°. Example: Methane (CHβ).
- Trigonal Bipyramidal Geometry (AXβ ): Each molecule has 5 bonding domains. The geometry features two types of bond angles: 90Β° (axial-equatorial) and 120Β° (equatorial). Example: Phosphorus pentachloride (PClβ ).
- Octahedral Geometry (AXβ): Characterized by 6 bonding domains, the bond angles are all 90Β°. Example: Sulfur hexafluoride (SFβ).
Understanding these electron-domain geometries aids in predicting molecular behavior and properties in chemical reactions.
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Understanding Electron-Domain Geometries
Chapter 1 of 3
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Chapter Content
When m = 0 (no lone pairs), the geometry is determined solely by the number of bonding domains.
Detailed Explanation
In this section, we talk about how the shape of a molecule is influenced by the arrangement of its electron domains. When there are no lone pairs of electrons around a central atom (m = 0), the molecule's shape is purely dependent on the number of bonding pairs (the atoms it is connected to). This is a key concept in understanding molecular geometry.
Examples & Analogies
Think of this like a group of friends sitting around a table. If no one is sitting alone (no lone pairs), the arrangement of friends (the shape of the molecule) depends only on how many friends there are (bonding domains) and how they want to sit together.
Molecular Geometries Based on Electron Domains
Chapter 2 of 3
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Chapter Content
| Electron domains | Electron-domain geometry | Bond angles | Molecular geometry |
|---|---|---|---|
| 2 | Linear | 180Β° | Linear (AXβ) |
| 3 | Trigonal planar | 120Β° | Trigonal planar (AXβ) |
| 4 | Tetrahedral | 109.5Β° | Tetrahedral (AXβ) |
| 5 | Trigonal bipyramidal | 90Β° (axial), 120Β° (equatorial) | Trigonal bipyramidal (AXβ ) |
| 6 | Octahedral | 90Β° | Octahedral (AXβ) |
Detailed Explanation
This chunk lists the different molecular geometries based on the number of bonding domains (or electron domains). Each type of geometry is associated with specific bond angles:
- When there are 2 bonding domains, the shape is linear with bond angles of 180Β°.
- With 3 bonding domains, the shape is trigonal planar, and bond angles are 120Β°.
- A tetrahedral arrangement occurs with 4 bonding domains with bond angles of around 109.5Β°.
- For 5 bonding domains, the structure is trigonal bipyramidal, featuring bond angles of 90Β° and 120Β° depending on the orientation.
- Finally, 6 bonding domains create an octahedral shape with 90Β° bond angles.
Examples & Analogies
Imagine a school project where a team of students needs to create a poster. If only two students (bonding domains) are working, they can only stand together and create a straight line (linear). If three students join, they can arrange themselves in a triangle (trigonal planar). Four students might spread out to form a three-dimensional shape, like a pyramid (tetrahedral). With five, some might have to stand up and some sit down to manage space (trigonal bipyramidal), and with six, they can form a perfect hexagon shape (octahedral) around a central point.
Examples of Molecular Geometries
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Chapter Content
Linear (AXβ): Example: COβ (carbon, 2 bonding domains, no lone pairs) β OβCβO angle = 180Β°.
Trigonal planar (AXβ): Example: BFβ (boron, 3 bonds) β FβBβF angles = 120Β°.
Tetrahedral (AXβ): Example: CHβ (carbon, 4 bonds) β HβCβH angles β 109.5Β°.
Trigonal bipyramidal (AXβ ): Example: PClβ (phosphorus, 5 bonds) β three equatorial PβCl at 120Β° to each other, two axial PβCl at 90Β° to equatorial.
Octahedral (AXβ): Example: SFβ (sulfur, 6 bonds) β all SβF bond angles 90Β°.
Detailed Explanation
In this chunk, we see specific examples that illustrate the various molecular geometries:
- COβ (Linear): Carbon is bonded to two oxygen atoms with a bond angle of 180Β°.
- BFβ (Trigonal planar): Boron is connected to three fluorine atoms, creating a flat triangle with each angle measuring 120Β°.
- CHβ (Tetrahedral): In methane, carbon bonds to four hydrogen atoms, yielding angles of approximately 109.5Β°.
- PClβ
(Trigonal bipyramidal): Phosphorus connects to five chlorine atoms, with different angles: 120Β° for the equatorial and 90Β° for the axial positions.
- SFβ (Octahedral): Sulfur is surrounded by six fluorine atoms with bond angles of 90Β°.
Examples & Analogies
You can think of COβ as two people on opposite ends of a tightrope, making a straight line. BFβ is like three people who arranged themselves for a photo, forming a triangle, while CHβ looks like a pyramid with one person at the top and the others at the corners. PClβ resembles a double-decker bus where three friends sit at the bottom level and two at the top, and SFβ can be imagined as a cube with friends sitting on each corner, all at right angles.
Key Concepts
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VSEPR Theory: Predicts molecular shapes based on electron pair repulsion.
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Linear Geometry: 2 bonding domains, 180Β° bond angles.
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Trigonal Planar Geometry: 3 bonding domains, 120Β° bond angles.
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Tetrahedral Geometry: 4 bonding domains, approximately 109.5Β° bond angles.
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Trigonal Bipyramidal Geometry: 5 bonding domains, 90Β° and 120Β° bond angles.
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Octahedral Geometry: 6 bonding domains, 90Β° bond angles.
Examples & Applications
Carbon dioxide (COβ) has a linear geometry with bond angles of 180Β°.
Boron trifluoride (BFβ) exhibits trigonal planar geometry with bond angles of 120Β°.
Methane (CHβ) has a tetrahedral geometry with bond angles of approximately 109.5Β°.
Phosphorus pentachloride (PClβ ) has a trigonal bipyramidal geometry with bond angles of 90Β° and 120Β°.
Sulfur hexafluoride (SFβ) demonstrates octahedral geometry with 90Β° bond angles.
Memory Aids
Interactive tools to help you remember key concepts
Rhymes
Linear lines are straight as can be, 180Β° angles for you and me. Trigonal planar has three in a row, 120Β°, donβt you know?
Stories
Imagine a friend named Tetra, always trying to keep balance at 109.5Β° with friends attached at each corner, forming a friendly club of four.
Memory Tools
For the shapes: 'L, T, T, T-B, O' - Linear, Trigonal, Tetrahedral, Trigonal Bipyramidal, Octahedral.
Acronyms
Remember 'LT5O' for the five geometries
Linear
Trigonal Planar
Tetrahedral
Trigonal Bipyramidal
Octahedral.
Flash Cards
Glossary
- VSEPR Theory
A model used to predict the geometry of individual molecules based on the repulsion between electron pairs.
- Linear Geometry
The molecular shape where two atoms are bonded in a straight line, with a bond angle of 180Β°.
- Trigonal Planar Geometry
The molecular shape where three atoms are arranged around a central atom in a flat plane, with bond angles of 120Β°.
- Tetrahedral Geometry
A molecular shape with four bonding pairs arranged around a central atom, characterized by bond angles of approximately 109.5Β°.
- Trigonal Bipyramidal Geometry
A molecular shape with five bonding pairs, featuring bond angles of 90Β° and 120Β°.
- Octahedral Geometry
A molecular shape with six bonding pairs arranged symmetrically around a central atom, with all bond angles equal to 90Β°.
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