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10.1:

VSEPR Theory and the Basic Shapes

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Chemistry
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VSEPR Theory and the Basic Shapes

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Valence shell electron-pair repulsion or VSEPR theory serves as a tool to predict molecular structure.

It assumes that the negatively charged electron groups, which may be electrons involved in a single bond, multiple bonds, or lone pairs, repel one another and try to stay at the maximum possible distance from each other to minimize repulsions.

Imagine a set of balloons tied together. Each balloon orients itself away from the other as much as possible.

Molecular geometry is dictated by the arrangement of various electron groups around the central atom. 

Beryllium fluoride has two electron groups around the central atom. According to VSEPR, the minimum repulsion between these electron groups is achieved through a maximum separation. Thus, the bond angle is 180°, and the molecular shape is linear.

Boron trifluoride has three electron groups around the central boron atom. The repulsion between these groups can be minimized by assuming a 120° bond angle. VSEPR theory predicts that the molecule exhibits trigonal planar geometry.

In the case of methane, there are four electron groups surrounding the central carbon atom. They are farthest when the bond angle is 109.5°, and the molecule assumes a three-dimensional tetrahedral geometry. 

If five balloons are tied together, maximum separation is achieved when the three balloons are in one plane, and the remaining two are placed on either side of the plane.

Phosphorus pentachloride has five electron groups around the central atom. The three equatorial chlorine atoms are separated by the bond angle of a 120° and assume a trigonal planar arrangement. 

There is one chlorine atom each above and below the plane. The angle between the equatorial and axial chlorines is 90°. The molecule has trigonal bipyramidal geometry.

In sulfur hexafluoride, there are six electron groups around the sulfur atom. The four groups occupy a single plane. The two other groups lie on either side of this plane. The geometry of the molecule is octahedral. All the bonds are equivalent and bond angles are 90°.

These examples reveal that two to six bonding electron groups around the central atom lead to five basic molecular shapes: linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral.

10.1:

VSEPR Theory and the Basic Shapes

Overview of VSEPR Theory

Valence shell electron-pair repulsion theory (VSEPR theory) enables us to predict the molecular structure, including approximate bond angles around a central atom, of a molecule from an examination of the number of bonds and lone electron pairs in its Lewis structure. The VSEPR model assumes that electron pairs in the valence shell of a central atom will adopt an arrangement that minimizes repulsions between these electron pairs by maximizing the distance between them. The electrons in the valence shell of a central atom form either bonding pairs of electrons, located primarily between bonded atoms, or lone pairs. The electrostatic repulsion of these electrons is reduced when the various regions of high electron density assume positions as far from each other as possible.

VSEPR theory predicts the arrangement of electron pairs around each central atom and, usually, the correct arrangement of atoms in a molecule. We should understand, however, that the theory only considers electron-pair repulsions. Other interactions, such as nuclear-nuclear repulsions and nuclear-electron attractions, are also involved in the final arrangement that atoms adopt in a particular molecular structure.

Application of VSEPR Theory

VSEPR theory can be used to predict the structure of molecules. For example, let us predict the structure of a gaseous CO2 molecule. The Lewis structure of CO2 (Figure 1) shows only two electron groups around the central carbon atom. With two bonding groups and no lone pairs of electrons on the central atom, the bonds are as far apart as possible, and the electrostatic repulsion between these regions of high electron density is reduced to a minimum when they are on opposite sides of the central atom. The bond angle is 180°.

Image1

The table below illustrates electron-pair geometries that minimize the repulsions among regions of high electron density (bonds and/or lone pairs). Two regions of electron density around a central atom in a molecule form a linear geometry; three regions form a trigonal planar geometry; four regions form a tetrahedral geometry; five regions form a trigonal bipyramidal geometry, and six regions form an octahedral geometry.

  BeF2 BF3 CH4 PCl5 SF6
Number of electron regions 2 3 4 5 6
Electron region geometry Linear; 180° angle Trigonal planar; all angles 120° Tetrahedral; all angles 109.5° Trigonal bipyramidal, angles 90° or 120°. Octahedral; all angles 90° or 180°.
Spatial arrangement Image2 Image3 Image4 Image5 Image6

Table 1. The basic electron-pair geometries predicted by VSEPR theory maximize the space around any region of electron density (bonds or lone pairs).

This text has been adapted from Openstax, Chemistry 2e, Section 7.6: Molecular Structure and Polarity.