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IB DP Chemistry SL Study Notes

2.2.4 Predicting Molecular Shapes with VSEPR

The Valence Shell Electron Pair Repulsion (VSEPR) model is a crucial tool in predicting molecular shapes, taking into account both bonding and non-bonding electrons. Let's delve into this fascinating model and its applications.

Understanding the VSEPR Model

  • Principle: The VSEPR model is based on the premise that electron pairs surrounding a central atom repel each other. As a result, they adopt positions in space that minimise this repulsion, thus determining the geometry of the molecule.
  • Origin of Repulsion: Electrons, by their nature, carry a negative charge. Due to this, they experience a repulsive force when they come close to each other. The VSEPR model prioritises these repulsions, arranging electron pairs in a way that produces the least amount of repulsive forces.

Predicting Electron Domain Geometry and Molecular Geometry

Step 1: Determining the Central Atom

  • Generally, the atom with the lowest electronegativity (excluding hydrogen) serves as the central atom.

Step 2: Count the Electron Domains

  • Electron Domains: Include bonding pairs (single, double, or triple bonds) and non-bonding pairs (lone pairs).

Step 3: Predict the Electron Domain Geometry

  • Based on the number of electron domains:
    • 2: Linear
    • 3: Trigonal planar
    • 4: Tetrahedral
    • 5: Trigonal bipyramidal
    • 6: Octahedral

Step 4: Predict the Molecular Geometry

  • Factor in the presence of non-bonding pairs:
    • For instance, while a molecule with four electron domains generally adopts a tetrahedral shape, if one of these domains is a lone pair, the molecular geometry becomes trigonal pyramidal.
A diagram showing Valence Shell Electron Pair Repulsion (VSEPR)- Bond angles.

Image courtesy of aboabdelah

Influence of Non-Bonding Pairs and Multiple Bonds on Bond Angles

  • Non-Bonding Pairs: Lone pairs occupy more space than bonding pairs due to their closer proximity to the central atom. This causes them to repel other pairs more strongly. Consequently, the presence of lone pairs often reduces bond angles in a molecule.
  • Multiple Bonds: Double and triple bonds have a similar effect on bond angles as lone pairs. Though they count as one electron domain, they contain more electrons and thus can cause a greater repulsion compared to single bonds.
A diagram showing bond angle, lone pairs and bond pair.

Image courtesy of topblogtenz.

Evaluating the VSEPR Model

  • Strengths:
    • Simplicity and Universality: The VSEPR model provides a straightforward method for predicting molecular shapes without delving deep into atomic orbitals or quantum mechanics.
    • Accuracy for Main Group Elements: For molecules containing main group elements, the VSEPR model offers fairly accurate predictions regarding molecular geometries.
  • Limitations:
    • Transition Metals: The model does not always fare well with transition metals or molecules displaying extensive delocalisation.
    • Inability to Predict Exact Bond Angles: While VSEPR can suggest bond angles based on electron pair repulsions, precise angles often require more sophisticated theories or experimental evidence.
    • Doesn’t Address Molecular Size: The model primarily deals with electron repulsions and doesn't factor in the size of atoms, which can influence molecular geometry.

With its blend of accuracy and simplicity, the VSEPR model remains a cornerstone in the study of molecular geometry, helping students and chemists visualise molecules and predict their shapes with reasonable accuracy.

FAQ

A molecule might have polar bonds but still be non-polar overall due to the symmetric arrangement of these bonds, resulting in cancellation of their dipole moments. The VSEPR model helps in predicting molecular geometry, and understanding this geometry is essential for determining molecular polarity. For instance, carbon tetrachloride (CCl₄) has polar C-Cl bonds, but its tetrahedral shape, predicted by the VSEPR model, ensures that the bond dipoles cancel each other out, making the molecule non-polar.

While the VSEPR model is a valuable tool for predicting molecular shapes and approximate bond angles, it does not directly predict bond lengths. Bond lengths depend on the atomic size, the type of bond (single, double, triple), and other factors not considered in the VSEPR model. To determine bond lengths, one would typically need to resort to experimental data, quantum mechanical calculations, or other models focused on the nature of the bond itself rather than the overall shape of the molecule.

In molecules with five electron domains, such as PCl₅, the VSEPR model predicts a trigonal bipyramidal geometry. In this shape, there are two types of positions for atoms or groups around the central atom: axial and equatorial. Axial positions are aligned along the molecule's main axis, while equatorial positions are arranged around the central atom's equator. These positions are significant in VSEPR theory because they experience different levels of repulsion. Typically, non-bonding pairs or larger groups prefer the equatorial position because it minimises repulsions by being farther from the other domains. Understanding these positions aids in predicting molecular geometry and the effects of lone pairs or multiple bonds on bond angles.

The concept of 'electron domains' is fundamental to the VSEPR model, as it refers to any region where electrons can be found, be it bonding or non-bonding pairs. By counting the electron domains around a central atom, we can predict the electron domain geometry. This geometry is the foundational arrangement of electrons, and it provides insight into the molecular geometry by considering the number of bonding versus non-bonding pairs. Electron domains help simplify complex molecular structures into more manageable units, allowing for more straightforward predictions of molecular shapes.

Non-bonding electron pairs are critical in determining molecular geometry because they occupy space around the central atom and contribute to electron domain count, which the VSEPR model utilises. Their presence can significantly alter the geometry from what it might be if only bonding pairs were present. Non-bonding electron pairs repel more than bonding pairs because they are localised closer to the central atom and are not shared between two nuclei. This closer proximity means they occupy a larger spatial volume, leading to stronger repulsions with other electron domains and thus influencing the geometry and bond angles.

Practice Questions

A molecule, X, has 3 bonding pairs and 1 non-bonding pair of electrons around the central atom. Based on the VSEPR model, what is the molecular geometry of X, and how might the bond angles differ from the ideal geometry due to the presence of the non-bonding pair?

The molecule X, with 3 bonding pairs and 1 non-bonding pair, would have a total of 4 electron domains around the central atom. The electron domain geometry would be tetrahedral. However, considering the non-bonding pair, the molecular geometry would be trigonal pyramidal. Non-bonding pairs repel more strongly than bonding pairs due to their closer proximity to the central atom. As a result, the bond angles in X would be slightly less than the ideal 109.5° seen in a perfect tetrahedral geometry.

Discuss the advantages and limitations of using the VSEPR model in predicting the shapes of molecules.

The VSEPR model offers several advantages. Firstly, it provides a straightforward and universal method to predict molecular shapes, eliminating the need for an intricate understanding of atomic orbitals or quantum mechanics. Secondly, for molecules containing main group elements, the VSEPR model is fairly accurate in predicting molecular geometries. However, the model has its limitations. It does not consistently provide accurate predictions for molecules containing transition metals or those with extensive electron delocalisation. Additionally, while the model can suggest approximate bond angles based on electron pair repulsions, precise angles often require a more sophisticated approach or experimental data. Lastly, the VSEPR model doesn't factor in the atomic sizes, which can influence molecular geometry.

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