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CIE A-Level Chemistry Study Notes

3.5.2 Predicting Shapes and Bond Angles in Molecules

Predicting the shapes and bond angles of molecules is a fundamental aspect of chemistry, essential for understanding chemical reactions and properties. This segment explores how to determine the molecular geometry and bond angles, drawing on the principles of Valence Shell Electron Pair Repulsion (VSEPR) theory and comparing with molecules like BF₃, CO₂, CH₄, NH₃, H₂O, SF₆, and PF₅.

Introduction to Molecular Geometry

Molecular shape plays a pivotal role in determining the physical and chemical properties of compounds. The geometry of a molecule is dictated by the spatial arrangement of atoms bonded to the central atom and the repulsion between electron pairs in the valence shell of these atoms.

  • Valence Shell Electron Pair Repulsion (VSEPR) Theory: This is the cornerstone for predicting molecular geometry. It posits that electron pairs, whether in bonds or as lone pairs, repel each other and thus, arrange themselves to be as far apart as possible in three-dimensional space.

VSEPR Theory in Action

Linear Molecules

  • Example: Carbon Dioxide (CO₂)
    • Structure: CO₂ has a central carbon atom double-bonded to two oxygen atoms.
    • Predicted Shape: Linear
    • Bond Angle: The shape is linear, with bond angles of 180°, due to the repulsion of the two double bonds.
Carbon Dioxide 180° bond angle

Image courtesy of UCLA – Chemistry and Biochemistry

Trigonal Planar Molecules

  • Example: Boron Trifluoride (BF₃)
    • Structure: BF₃ consists of a boron atom single-bonded to three fluorine atoms.
    • Predicted Shape: Trigonal planar
    • Bond Angle: Approximately 120°, as the three bonded pairs repel each other equally.
Boron trifluoride120° bond angle

Image courtesy of Topblogtenz

Tetrahedral Molecules

  • Example: Methane (CH₄)
    • Structure: CH₄ has a central carbon atom with four hydrogen atoms bonded to it.
    • Predicted Shape: Tetrahedral
    • Bond Angle: Around 109.5°, due to equal repulsion among the four single bonds.
CH₄ (Methane) 109.5° bond angle

Image courtesy of Benjah-bmm27 Vector: Jynto

Advanced Molecular Structures

Trigonal Pyramidal Molecules

  • Example: Ammonia (NH₃)
    • Structure: NH₃ has a nitrogen atom bonded to three hydrogen atoms and one lone pair.
    • Predicted Shape: Trigonal pyramidal
    • Bond Angle: Slightly less than 109.5°, due to the presence of a lone pair which exerts more repulsion.
NH₃ (Ammonia)107° bond angle

Image courtesy of DoSiDo

Bent Molecules

  • Example: Water (H₂O)
    • Structure: H₂O consists of an oxygen atom with two hydrogen atoms and two lone pairs.
    • Predicted Shape: Bent or V-shaped
    • Bond Angle: Around 104.5°, affected by the two lone pairs exerting more repulsion than bonding pairs.
H₂O (Water) 104.5° bond angle

Image courtesy of Dan Craggs

Octahedral Molecules

  • Example: Sulphur Hexafluoride (SF₆)
    • Structure: SF₆ features a sulphur atom surrounded by six fluorine atoms.
    • Predicted Shape: Octahedral
    • Bond Angle: 90° between any two adjacent fluorine atoms.
SF₆ (Sulfur Hexafluoride) 90° bond angle

Image courtesy of Benjah-bmm27

Trigonal Bipyramidal Molecules

  • Example: Phosphorus Pentafluoride (PF₅)
    • Structure: PF₅ has a phosphorus atom bonded to five fluorine atoms; three in a plane at 120° (equatorial) and two perpendicular to the plane (axial).
    • Predicted Shape: Trigonal bipyramidal
    • Bond Angle: 90° between axial and equatorial bonds and 120° among equatorial bonds.
PF₅ (Phosphorus Pentafluoride) bond angles

Image courtesy of Topblogtenz

Delving Deeper: Factors Influencing Molecular Shapes

1. Lone Pairs vs Bonding Pairs: Lone pairs exert more repulsion than bonding pairs, leading to smaller bond angles in molecules with lone pairs.

2. Multiple Bonds and Molecular Shape: Double or triple bonds count as one region of electron density in VSEPR theory but can affect molecular shape due to their larger electron cloud.

3. Electronegativity and Bond Polarity: The difference in electronegativity between bonded atoms can slightly alter bond angles due to uneven electron distribution.

4. Steric Number and Molecular Geometry: The steric number (the number of bonded atoms plus lone pairs on the central atom) is a critical factor in determining the molecular shape.

5. Hybridisation and Molecular Geometry: The hybridisation state of the central atom can give insights into the molecular geometry. For instance, sp³ hybridisation often leads to tetrahedral geometry.

Practical Application: Predicting Shapes

In predicting the shapes of unknown molecules, one should first determine the steric number, identify the presence of lone pairs, consider the hybridisation state, and then apply VSEPR theory. This approach helps in making accurate predictions about the molecular geometry and bond angles.

Understanding and predicting molecular shapes and bond angles is crucial in chemistry. By applying VSEPR theory and considering various molecular factors, one can accurately determine the geometry of molecules, analogous to BF₃, CO₂, CH₄, NH₃, H₂O, SF₆, and PF₅. This knowledge is vital for a deeper understanding of chemical reactions and the properties of substances.

FAQ

Lone pairs exert a greater repulsive effect than bonding pairs in determining molecular shape due to their closer proximity to the nucleus and their relatively larger electron cloud. Being located closer to the nucleus, lone pairs are less shielded by inner electron shells than bonding electrons, which are shared between two nuclei. This makes lone pairs more concentrated in terms of electron density. For example, in water (H₂O), the two lone pairs on the oxygen atom push the bonding pairs closer together, resulting in a bent shape with a bond angle less than the 109.5° of a perfect tetrahedron. The increased repulsion from lone pairs often leads to smaller bond angles in molecules with lone pairs compared to those with only bonding pairs.

Hybridisation plays a crucial role in determining the shape of molecules. It involves the mixing of atomic orbitals to form new hybrid orbitals that are more suitable for the bonding arrangement in a molecule. The type of hybridisation correlates with the molecular geometry. For example, in a molecule with sp³ hybridisation like methane (CH₄), the carbon atom has four hybrid orbitals that form a tetrahedral arrangement with 109.5° bond angles. In sp² hybridised molecules like ethene (C₂H₄), the carbon atoms have a trigonal planar arrangement with 120° bond angles. Similarly, in sp hybridised molecules like acetylene (C₂H₂), a linear shape with 180° bond angles is observed. Essentially, hybridisation modifies the shapes of the atomic orbitals, which in turn influences the spatial arrangement of the atoms in a molecule.

Yes, a molecule can have more than one central atom, particularly in larger and more complex molecules. In such cases, each central atom's shape and bond angles are determined independently based on the VSEPR theory, considering the electron pairs surrounding each central atom. For instance, in ethane (C₂H₆), each carbon atom is a central atom, and each adopts a tetrahedral shape due to the four regions of electron density around it. The overall molecular shape is influenced by the geometries around each central atom and how they are connected. The interactions between different parts of the molecule can slightly modify the bond angles from their ideal values, especially in large and flexible molecules.

The shapes of organic and inorganic molecules often differ due to the nature of the atoms involved and the types of bonds they form. Organic molecules primarily consist of carbon atoms, which typically form covalent bonds and exhibit hybridisation, leading to specific geometries like tetrahedral, trigonal planar, and linear. For instance, the carbon backbone in organic compounds can lead to various shapes like chains, rings, and branched structures. In contrast, inorganic molecules often involve a more diverse range of elements, including metals, and can exhibit ionic as well as covalent bonding. This diversity leads to a wider variety of shapes, such as octahedral, square planar, and complex polyhedral structures. Additionally, the presence of d-orbitals in many inorganic elements allows for more complex geometries compared to the s- and p-orbitals typically involved in organic compounds. As a result, the range of molecular shapes in inorganic chemistry is broader and more varied than in organic chemistry.

The presence of multiple bonds (double or triple bonds) significantly influences the shape and bond angles of a molecule. Although treated as a single region of electron density in VSEPR theory, multiple bonds have a larger electron cloud compared to single bonds. This increased electron density can lead to greater repulsion with other bonding pairs or lone pairs. For instance, in carbon dioxide (CO₂), the two double bonds repel each other strongly, maintaining a linear structure with bond angles of 180°. Similarly, in ethene (C₂H₄), the carbon-carbon double bond and the surrounding single bonds create a planar structure. In essence, the larger electron cloud of multiple bonds increases the electron-electron repulsion, which can slightly enlarge bond angles in certain molecular geometries, thus subtly altering the predicted shapes based on single bonds alone.

Practice Questions

Describe the molecular shape and bond angles of the molecule XeF₄ using VSEPR theory. Explain your reasoning.

Xenon tetrafluoride (XeF₄) has a square planar molecular shape. According to VSEPR theory, the molecule consists of six regions of electron density around the central xenon atom – four bonding pairs with fluorine atoms and two lone pairs. These electron pairs arrange themselves to minimise repulsion, leading to a square planar geometry. In this arrangement, the four fluorine atoms are positioned at the corners of a square with the xenon atom at the centre, and the lone pairs are opposite each other, maintaining the symmetry. The bond angles between adjacent fluorine atoms are 90°.

Predict the molecular shape and bond angles of ammonia (NH₃) and justify your prediction using VSEPR theory.

Ammonia (NH₃) adopts a trigonal pyramidal molecular shape. According to VSEPR theory, the nitrogen atom in NH₃ has four regions of electron density – three bonding pairs with hydrogen atoms and one lone pair. This configuration leads to a trigonal pyramidal geometry as the lone pair occupies more space than the bonding pairs, causing the hydrogen atoms to be pushed closer together. Consequently, the H-N-H bond angles are slightly less than the typical 109.5° found in a perfect tetrahedral arrangement. They are approximately 107°, reflecting the influence of the lone pair on the molecular geometry.

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