Chapter 9: Molecular Geometry & Bonding Theories Molecular geometry Lewis structures account for formulas of covalent compounds, but do not indicate their shapes show the number and types of bonds between atoms e.g., H2O, NH3, CCl4 actual molecular shapes are bent, trigonal pyramidal, and tetrahedral, respectively How can we predict these molecular geometries? How to characterize the shape of a molecule? 180 The overall shape of a molecule is determined by its bond angles e.g., consider CCl4 note that the C-Cl bond lengths are all equal (1.78 Å) all 6 Cl-C-Cl bond angles are 109.50 these angles are characteristic of a tetrahedron If the overall shape of a molecule is determined by its bond angles, how do we determine the bond angles? 181 Predicting geometries: The VSEPR model We will first consider the geometries of molecules of the general type ABn A is the central atom and is bonded to n atoms of type B, e.g., CO2, NH3, SF4. Molecules of the type ABn exhibit a limited number of shapes these geometries can be predicted, when A is a nonmetal, by the Valence Shell Electron Pair Repulsion model The VSEPR Model Atoms are bonded to one another in molecules by the sharing of pairs of valence shell electrons Electron pairs or domains repel one another - they seek to stay out of each other's way 182 The "best" arrangement of a given number of e- domains around a central atom in a molecule of type ABn is the one which minimizes e-- e- repulsion How do e- domains orient themselves to minimize repulsion? 5 shapes to learn: Table 9.1 Lewis structures show two types of valence e- domains e.g., NH3 e- domain repulsion around N is minimized when the 4 edomains about N are arranged tetrahedrally -- this is the electron domain geometry 183 e.g., how are the e- domains arranged spatially about oxygen in H2O? Around S in SO32-? How are the H atoms arranged about the N atom in NH3? arrangement of the atoms in space: molecular geometry Can we predict the molecular geometry from the e- domain geometry? Are the two different? e.g., NH3: 3 bonding pairs point towards vertices of a tetrahedron; molecular geometry is trigonal pyramidal (looks like a tetrahedron with one atom missing) 184 Steps in predicting geometries using VSEPR model: -draw Lewis structure -count e- domains about central atom; arrange as to minimize e- domain repulsion (TABLE 9.1) -describe molecular geometry in terms of bonding edomains (TABLE 9.2) REMEMBER: e- domain geometry causes the molecular geometry! 185 VSEPR examples molecules / ions which obey the octet rule (i.e., 4 or less valence shell e- domains) e.g., predict the e- domain and molecular geometries of Cl2O SO32- CS2 H3O+ 186 How do multiple bonds effect VSEPR geometries? e.g., predict the electron-domain and molecular geometries of NO3- Which has a greater influence on molecular geometry, lone pairs or bonding pairs? why? e.g., consider CH4, NH3, and H2O: all have tetrahedral edomain geometries, yet their bond angles differ slightly : What is the effect of multiple bonding on observed molecular geometries? 187 e.g., H2CO: why aren't the observed H-C-H and H-C-O bond angles 120o in this compound? Geometries of molecules with expanded valence shells central atom from period 3 & beyond: may be surrounded by > 4 e- pairs (common cases: 5 or 6 e- pairs); why is this so? geometries of molecules with 5 or 6 e- domains around central atom are found in table 9.3 Central atom with 5 valence e- domains: preferred electron-pair geometry is trigonal bipyramid 188 The axial & equatorial positions in a trigonal bipyramid are nonequivalent If a molecule has 5 e- domains about its central atom, one of which is nonbonding, is the lone pair axial or equatorial? In order to best minimize e--e- repulsion, lone pairs are placed in equatorial positions; why? This gives seesaw, T-shaped, or linear molecular geometries for < 5 bonding pairs e.g., find the electron pair and molecular geometries of SF4 and XeF2. 189 Six e- pairs about the central atom: preferred geometry is octahedral, i.e., six e- pairs: all positions equivalent e.g., predict the molecular geometries of ClF3 and ICl4- 190 How to predict the geometry of molecules with no single central atom? e.g., CH3COOH (acetic acid): H H O C C O H H For a given atom: count e- domains as before find e- domain geometry find molecular geometry e.g., find the H-C-H, C-C-O, and C-O-H bond angles in acetic acid. 191 Problems du Jour Predict the molecular geometry of AsF3 I3- OCN- Give approximate values for the indicated bond angles in: H O Cl O O H H C C N H 192 193