Chapter 9 Notes AP CHEMISTRY Galster Molecular Geometry A. VESPR Theory A. Abbreviation for valence shell electron pair repulsion. B. Valence electrons will arrange themselves to reduce repulsion i.e. they will be as far apart as possible 1. 2 e-sets 1. Bond angle: 2. Shape name: 3. AZx designation: 2. 3 e- sets 1. Bond angle: 2. Shape name: 3. AZx designation: 1. 4 e-sets 1. Bond angle: 2. Shape name: 3. AZx designation: 2. 5 e- sets 1. Bond angle: 2. Shape name: 3. AZx designation: 3. 6 e-sets 1. Bond angle: 2. Shape name: 3. AZx designation: Electron Set Geometry Name Molecular Geometry Name Example CO2 AZ2 (2 edomains) Linear AX2 Linear BF3 AZ3 (3 edomains) Trigonal planar AX3 Trigonal planar SO2 AZ3 (3 edomains) Trigonal planar AX2E Bent 3-D Shape Electron Set Geometry AZ4 (4 edomains) AZ4 (4 edomains) AZ4 (4 edomains) AZ4 (4 edomains) Name Molecular Geometry Name Example CH4 Tetrahedral AX4 Tetrahedral NH3 Tetrahedral AX3E Trigonal pyramidal H2O Tetrahedral AX2E2 Bent HCl Tetrahedral AXE3 Linear 3-D Shape Electron Set Geometry AZ5 (5 edomains) AZ5 (5 edomains) Name Molecular Geometry Name Example PCl5 Trigonal bipyramidal AX5 Trigonal bipyramidal SF4 Trigonal bipyramidal AX4E See-Saw ClF3 AZ5 (5 edomains) Trigonal bipyramidal AZ5 (5 edomains) Trigonal bipyramidal AX3E2 T-shaped XeF2 AX2E3 Linear 3-D Shape Electron Set Geometry Name Molecular Geometry Name Example SF6 AZ6 (6 edomains) Octahedral AX6 Octahedral BrF5 AZ6 (6 edomains) Octahedral AX5E Square pyramidal XeF4 AZ6 (6 edomains) Octahedral AX4E2 Square planar 3-D Shape Effect of non-bonding electrons on bond angles A. Order of Repulsion 1. Nonbonding-nonbonding > nonbonding-bonding > bonding-bonding B. Trends A. Angle between nonbonding pairs increase B. Angles between bonding pairs decrease C. Examples 1. CH4 tetrahedral tetrahedral 2. NH3 tetrahedral trig. Pyramidal 3 Water, H2O tetrahedral bent • 4. Sulfur tetrafluoride, SF4 • • 5. COCl2 Polarity of Molecules A. Review of polar bonds 1. 2. Polar bonds - ∆EN is less than or equal to 0.5 (but >1.7, ionic) Nonpolar bonds ∆EN is less than 0.5 B. Molecular polarity 1. Nonpolar bonds a. b. c. d. 2. Diatomic molecules or others with nonpolar bonds Ex: H2, Cl2, I2 No dipole moment So… molecules with all nonpolar bonds are nonpolar Cancellation of dipoles a. b. c. d. Depends on geometry “tug of war” Polar bonds – yes Dipole moment – no Ex: CCl4, CO2 Examples of Nonpolar Molecules • CO2 • SiCl5 • AsCl5 • ICl4-1 Examples of Polar Molecules • Polar bonds: yes • Dipole Moment? Yes • H 2O SF4 BrF5 Which of these are polar? 1. 2. 3. 4. 5. 6. SO2 I3-1 CHCl3 PCl3 XeCl4 SeBr4 Atomic Orbitals: Hybridization • Atomic Orbitals – covalent bonds result when orbitals in valence level overlap • **VESPR theory says that the number of unpaired electrons tells you the number of bonds the atom will form. • Ex: H2 • • HCl • Cl2 Hybrid Orbitals • Mixing of orbitals • Pure orbitals cannot always be used to explain bonding 1. Basics a. b. Atomic orbitals are combined to create new hybrid orbitals The number of hybrid orbitals formed is equal to the number of atomic orbitals combined * We are not increasing the number of orbitals, just rearranging them. a. The names of the hybrid orbitals are based on the type and number of atomic orbitals combined. b. The hybrid orbitals are degenerate and have the same shape. Process of hybridization • A. methane, CH4 • B. BF3 • C. BeCl2 • D. H2O • E. NH3 • F. XeF4 Hybridization and Electron Set Geometry • • • • • sp = one s & one p = AZ2 linear sp2= one s & two p = AZ3 trigonal planar sp3= one s & three p = AZ4 tetrahedral sp3d = one s, three p, and one d = AZ5 trigonal bipyramidal sp3d2 = one s, three p, and two d = AZ6 octahedral Multiple Bonds • Multiple bonds do not affect the electron set geometry of a molecule • Multiple bonds make attractions (i.e. bond) stronger and shorter • Types of bonds • Single bond = σ (sigma) bond • Double bond = σ (sigma) bond – first bond π (pi) bond – 2nd or subsequent bonds Ex: C2H4 • Triple bond • Ex: C2H2 (Acetylene) • Sigma bonds are characterized by • Head-to-head overlap • Cylindrical symmetry of electron density about the internuclear axis • Pi bonds are characterized by • Side-to-side overlap • Electron density above and below the internuclear axis Delocalized Electrons: Resonance • In reality, each of the four atoms in the nitrate ion has a p orbital. • The p orbitals on all three oxygens overlap with the p orbital on the central nitrogen. • This means the electrons are not localized between the nitrogen and one of the oxygens, but rather are delocalized throughout the ion. Resonance • The organic molecule benzene has six σ bonds and a p orbital on each carbon atom. • In reality the π electrons in benzene are not localized but delocalized • The even distribution of the π electrons in benzene makes the molecule unusually stable. Molecular-Orbital (MO) Theory • Through valence bond theory effectively conveys most observed properties of ions and molecules, there are some concepts better represented by molecular orbitals. • In MO theory, we invoke the wave nature of electrons • If waves interact constructively the resulting orbital is lower in energy: a bond Molecular-Orbital (MO) Theory • If waves interact destructively, the resulting orbital is higher in energy: an antibonding molecular orbital. MO Theory • In H2 the two electrons go into the bonding molecular orbital • The bond order is one half the difference between the number of bonding and antibonding electrons MO Theory • For hydrogen, with two electrons in the bonding MO and none in the antibonding MO, the bond order is ½ (2 – 0) = 1 MO Theory • In the case of He2, the bond order would be ½ (2 - 2) = 0 • Therefore, He2 does not exist. MO Theory • For atoms with both s and p, there are two types of interactions: • The s and the p orbitals that face each other overlap in σ fashion. • The other two sets of p orbitals overlap in π fashion. MO Theory • The resulting MO diagram looks like this : • There are both σ and π bonding molecular orbitals and σ* and π* antibonding molecular orbitals MO Theory • The smaller p-block elements in the second period have a sizable interaction between the s and p orbitals. • This flips the order of the σ and π molecular orbitals in these elements Second-Row MO Diagrams