Question 10.13: Determining the Relationship Between Geometric Shapes and th...

Determining the Relationship Between Geometric Shapes and the Resultant Dipole Moments of Molecules

Which of these molecules would you expect to be polar: Cl2,ICl,BF3,NO,SO2Cl_2, ICl, BF_3, NO, SO_2?

Analyze
We will use the methods described above to determine the shape of the molecule, and then ascertain whether or not bond dipoles, if present, produce a net permanent dipole moment.

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Polar: ICl,NO,SO2.ICl, NO, SO_2 . ICl and NO are diatomic molecules with an electronegativity difference between the bonded atoms. SO2SO_2 is a bent molecule with an electronegativity difference between the S and O atoms.
Nonpolar: Cl2Cl_2 and BF3BF_3. Cl2Cl_2 is a diatomic molecule of identical atoms; hence no electronegativity difference. For BF3BF_3, refer to Table 10.1. BF3BF_3 is a symmetrical planar molecule (120° bond angles). The BF\begin{matrix} B-F \end{matrix} bond dipoles cancel each other.

TABLE 10.1 Molecular Geometry as a Function of Electron-Group Geometry
Number of Electron Groups Electron-Group Geometry Number of Lone Pairs VSEPR Notation Molecular Geometry Ideal Bond Angles Example
2 linear 0 Aχ2A \chi_2 180° BeCl2BeCl_2
3 trigonal planar 0 Aχ3A \chi_3 120° BF3BF_3 
trigonal planar 1 Aχ2EA \chi_2 E 120° SO2aSO_2{ }^a
4 tetrahedral 0 Aχ4A \chi_4 109.5° CH4CH_4
tetrahedral 1 Aχ3EA \chi_3 E 109.5° NH3NH_3
tetrahedral 2 Aχ2E2A \chi_2 E_2 109.5° OH2OH_2
5 trigonal bipyramidal 0 Aχ5A \chi_5 90°,120° PCl5PCl_5
trigonal bipyramidal 1 Aχ4EbA \chi_4 E^b 90°,120° SF4SF_4
trigonal bipyramidal 2 Aχ3E2A \chi_3 E_2 90° ClF3ClF_3
trigonal bipyramidal 3 Aχ2E3A \chi_2 E_3 180° χeF2\chi eF_2
6 octahedral 0 Aχ6A \chi_6 90° SF6SF_6 
octahedral 1 Aχ5EA \chi_5 E 90° BrF5BrF_5
octahedral 2 Aχ4E2A \chi_4 E_2 90° χeF4\chi eF_4

aFor _{}^{a}\textrm{For }a discussion of the structure of SO2SO_2, see page 428.
bFor _{}^{b}\textrm{For }a discussion of the placement of the lone-pair electrons in this structure, see page 427.

Assess
Bond dipoles are vector quantities. When adding them together, we must add them as vectors, that is, “head-to-tail,” as illustrated below.

Fig ex10.12.3

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