Ideal Electron-Domain Geometries (No Lone Pairs) - 4.4.2 | Unit 4: Chemical Bonding and Structure | IB Grade 11: Chemistry
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VSEPR Theory Overview

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Teacher
Teacher

Today, we’ll 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.

Student 1
Student 1

What do you mean by electron pair repulsion?

Teacher
Teacher

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.

Student 2
Student 2

How does this relate to the number of bonding pairs?

Teacher
Teacher

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.

Student 3
Student 3

Could you give us an example?

Teacher
Teacher

Sure! For two bonding pairs like in CO₂, we say it has a linear geometry with a bond angle of 180°. That's a simple example of how VSEPR works!

Student 4
Student 4

So every shape has a different angle?

Teacher
Teacher

Precisely! Each geometry has specific bond angles unique to that arrangement. For instance, tetrahedral shapes have angles of about 109.5°.

Teacher
Teacher

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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Teacher
Teacher

Let's focus on the first two ideal geometries: linear and trigonal planar. A linear geometry occurs when there are two bonding pairs.

Student 2
Student 2

What are some examples of linear molecules?

Teacher
Teacher

CO₂ is a classic example. The angle O–C–O is exactly 180°. Can anyone tell me why it looks this way?

Student 3
Student 3

Because there are only two atoms attached directly to a central atom?

Teacher
Teacher

Exactly! Now, for trigonal planar structures, they have three bonding domains with bond angles of 120°.

Student 4
Student 4

Could BF₃ be an example?

Teacher
Teacher

Correct! In BF₃, the bonding pairs push away from each other, achieving those 120° angles.

Teacher
Teacher

In summary, linear geometry has 180° angles, while trigonal planar molecules have 120° angles, based on their bond domains.

Tetrahedral Geometry and Examples

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Teacher
Teacher

Next, let's explore tetrahedral geometry. This occurs with 4 bonding domains and features approximate angles of 109.5°.

Student 1
Student 1

What’s a good example of a tetrahedral molecule?

Teacher
Teacher

One well-known example is methane, CH₄. The carbon atom forms four single bonds with hydrogen atoms.

Student 2
Student 2

How can we visualize that?

Teacher
Teacher

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.

Student 3
Student 3

So is the angle always around 109.5°?

Teacher
Teacher

Yes, and while we may see slight variations based on the molecule's specific environment, 109.5° is the ideal angle we refer to.

Teacher
Teacher

To summarize, tetrahedral geometries are characterized by four bonding pairs and an angle of about 109.5°.

Trigonal Bipyramidal and Octahedral Geometries

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Teacher
Teacher

Let's discuss trigonal bipyramidal and octahedral geometries. Starting with AX₅.

Student 1
Student 1

What does trigonal bipyramidal look like?

Teacher
Teacher

In this shape, there are five bonding domains. The bond angles are 90° for axial pairs and 120° for equatorial pairs. An example is PCl₅.

Student 2
Student 2

How about octahedral geometries?

Teacher
Teacher

Good question! Octahedral geometries have 6 bonding domains all at 90°. SF₆ is an example where sulfur is surrounded by six fluorine atoms.

Student 3
Student 3

Why is the bond angle always 90° in that case?

Teacher
Teacher

Because the arrangement maximizes the distance between the electron pairs, minimizing repulsions among them, resulting in 90° angles.

Teacher
Teacher

To recap, trigonal bipyramidal has angles of 90° and 120°, while octahedral geometry features 90° bond angles.

Summary of Geometries

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Teacher
Teacher

As we conclude our exploration of electron-domain geometries without lone pairs, let’s summarize what we've learned.

Student 4
Student 4

We covered linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral.

Teacher
Teacher

Correct! And the bond angles vary for each: 180° for linear, 120° for trigonal planar, and 109.5° for tetrahedral.

Student 1
Student 1

Also, we discussed the 90° and 120° angles for trigonal bipyramidal.

Student 2
Student 2

And octahedral angles are all 90°.

Teacher
Teacher

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

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section discusses the ideal electron-domain geometries for molecules with no lone pairs, predicting their shapes based on the number of bonding domains.

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:

  1. Linear Geometry (AX₂): Occurs when there are 2 bonding domains. The bond angle is 180°. Example: Carbon dioxide (CO₂), where the angle between O–C–O is 180°.
  2. Trigonal Planar Geometry (AX₃): Found with 3 bonding domains. The bond angles are approximately 120°. Example: Boron trifluoride (BF₃).
  3. Tetrahedral Geometry (AX₄): Present with 4 bonding domains, leading to bond angles of approximately 109.5°. Example: Methane (CH₄).
  4. Trigonal Bipyramidal Geometry (AX₅): Each molecule has 5 bonding domains. The geometry features two types of bond angles: 90° (axial-equatorial) and 120° (equatorial). Example: Phosphorus pentachloride (PCl₅).
  5. Octahedral Geometry (AX₆): Characterized by 6 bonding domains, the bond angles are all 90°. Example: Sulfur hexafluoride (SF₆).

Understanding these electron-domain geometries aids in predicting molecular behavior and properties in chemical reactions.

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Understanding Electron-Domain Geometries

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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

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Electron domains Electron-domain geometry Bond angles Molecular geometry
2 Linear 180° Linear (AX₂)
3 Trigonal planar 120° Trigonal planar (AX₃)
4 Tetrahedral 109.5° Tetrahedral (AX₄)
5 Trigonal bipyramidal 90° (axial), 120° (equatorial) Trigonal bipyramidal (AX₅)
6 Octahedral 90° Octahedral (AX₆)

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 180°.
- With 3 bonding domains, the shape is trigonal planar, and bond angles are 120°.
- A tetrahedral arrangement occurs with 4 bonding domains with bond angles of around 109.5°.
- For 5 bonding domains, the structure is trigonal bipyramidal, featuring bond angles of 90° and 120° depending on the orientation.
- Finally, 6 bonding domains create an octahedral shape with 90° 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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Linear (AX₂): Example: CO₂ (carbon, 2 bonding domains, no lone pairs) → O–C–O angle = 180°.

Trigonal planar (AX₃): Example: BF₃ (boron, 3 bonds) → F–B–F angles = 120°.

Tetrahedral (AX₄): Example: CH₄ (carbon, 4 bonds) → H–C–H angles ≈ 109.5°.

Trigonal bipyramidal (AX₅): Example: PCl₅ (phosphorus, 5 bonds) → three equatorial P–Cl at 120° to each other, two axial P–Cl at 90° to equatorial.

Octahedral (AX₆): Example: SF₆ (sulfur, 6 bonds) → all S–F bond angles 90°.

Detailed Explanation

In this chunk, we see specific examples that illustrate the various molecular geometries:
- CO₂ (Linear): Carbon is bonded to two oxygen atoms with a bond angle of 180°.
- BF₃ (Trigonal planar): Boron is connected to three fluorine atoms, creating a flat triangle with each angle measuring 120°.
- CH₄ (Tetrahedral): In methane, carbon bonds to four hydrogen atoms, yielding angles of approximately 109.5°.
- PCl₅ (Trigonal bipyramidal): Phosphorus connects to five chlorine atoms, with different angles: 120° for the equatorial and 90° for the axial positions.
- SF₆ (Octahedral): Sulfur is surrounded by six fluorine atoms with bond angles of 90°.

Examples & Analogies

You can think of CO₂ as two people on opposite ends of a tightrope, making a straight line. BF₃ is like three people who arranged themselves for a photo, forming a triangle, while CH₄ looks like a pyramid with one person at the top and the others at the corners. PCl₅ resembles a double-decker bus where three friends sit at the bottom level and two at the top, and SF₆ can be imagined as a cube with friends sitting on each corner, all at right angles.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • VSEPR Theory: Predicts molecular shapes based on electron pair repulsion.

  • Linear Geometry: 2 bonding domains, 180° bond angles.

  • Trigonal Planar Geometry: 3 bonding domains, 120° bond angles.

  • Tetrahedral Geometry: 4 bonding domains, approximately 109.5° bond angles.

  • Trigonal Bipyramidal Geometry: 5 bonding domains, 90° and 120° bond angles.

  • Octahedral Geometry: 6 bonding domains, 90° bond angles.

Examples & Real-Life Applications

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Examples

  • Carbon dioxide (CO₂) has a linear geometry with bond angles of 180°.

  • Boron trifluoride (BF₃) exhibits trigonal planar geometry with bond angles of 120°.

  • Methane (CH₄) has a tetrahedral geometry with bond angles of approximately 109.5°.

  • Phosphorus pentachloride (PCl₅) has a trigonal bipyramidal geometry with bond angles of 90° and 120°.

  • Sulfur hexafluoride (SF₆) demonstrates octahedral geometry with 90° bond angles.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • Linear lines are straight as can be, 180° angles for you and me. Trigonal planar has three in a row, 120°, don’t you know?

📖 Fascinating Stories

  • Imagine a friend named Tetra, always trying to keep balance at 109.5° with friends attached at each corner, forming a friendly club of four.

🧠 Other Memory Gems

  • For the shapes: 'L, T, T, T-B, O' - Linear, Trigonal, Tetrahedral, Trigonal Bipyramidal, Octahedral.

🎯 Super Acronyms

Remember 'LT5O' for the five geometries

  • Linear
  • Trigonal Planar
  • Tetrahedral
  • Trigonal Bipyramidal
  • Octahedral.

Flash Cards

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Glossary of Terms

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  • Term: VSEPR Theory

    Definition:

    A model used to predict the geometry of individual molecules based on the repulsion between electron pairs.

  • Term: Linear Geometry

    Definition:

    The molecular shape where two atoms are bonded in a straight line, with a bond angle of 180°.

  • Term: Trigonal Planar Geometry

    Definition:

    The molecular shape where three atoms are arranged around a central atom in a flat plane, with bond angles of 120°.

  • Term: Tetrahedral Geometry

    Definition:

    A molecular shape with four bonding pairs arranged around a central atom, characterized by bond angles of approximately 109.5°.

  • Term: Trigonal Bipyramidal Geometry

    Definition:

    A molecular shape with five bonding pairs, featuring bond angles of 90° and 120°.

  • Term: Octahedral Geometry

    Definition:

    A molecular shape with six bonding pairs arranged symmetrically around a central atom, with all bond angles equal to 90°.