Molecular Geometry and Bonding Theories 1 Molecular Geometry and Bonding Theories •The overall shape of a molecule is determined by its bond angles 2 Common Bonding Geometries AB3E1 AB2 AB2E1 AB3 AB4 •Atoms (B) which are bonded to a central atom (A): ABn 3 Valence Shell Electron Pair Repulsion Theory VSEPR: the best arrangement of a given number of electron pairs is the one that minimizes the repulsions among them. Nonbonding pairs Bonding pairs 4 Valence Shell Electron Pair Repulsion Theory 5 Valence Shell Electron Pair Repulsion Theory 6 VSEPR:Four or Fewer Valence-Shell Electron Pairs Around a Central Atom 7 VSEPR:Four or Fewer Valence-Shell Electron Pairs Around a Central Atom 8 VSEPR:The Effect of Nonbonding Electrons and Multiple Bonds on Bond Angles Nonbonding electron pairs exert greater repulsive forces on adjacent electron pairs and thus tend to compress the angles between the bonding pairs Nonbonding electron pairs 109. 5° Methane (CH4) 107° Ammonia (NH3) 2 Nonbonding electron pairs 104 .°5 Water (H2O) 9 VSEPR:The Effect of Nonbonding Electrons and Multiple Bonds on Bond Angles Multiple bonds, like nonbonding electron pairs, exert a greater repulsive force on adjacent electron pairs than do single bonds. 122° 116 ° 122 ° Formaldehyde (H2CO) 10 VSEPR: Geometries of Molecules with Expanded Valence Shells When the central atom of an ABn molecule is from the third period of the periodic table and beyond, the atom may have more than four electron pairs around it. 11 VSEPR: Geometries of Molecules with Expanded Valence Shells Note: because nonbonding electron pairs exert larger repulsion than bond pairs, 12 they always occupy the equatorial positions in AB5 molecules VSEPR: Geometries of Molecules with Expanded Valence Shells Note: the placement of a single nonbonding electron pair in an AB6 molecule is arbitrary. The placement of two nonbonding pairs must be on opposite sides of 13 the octahedron. VSEPR: Molecules with No Single Central Atom Tetrahedral Trigonal Planar Bent H H O C C .. ..O H H 14 Now Wait Just a Dipole Moment! = Qr, where is the dipole moment in ‘Debyes (3.33 x 10-30 C-m/D)’, Q is the charge at each end of the molecule and r is the distance between the charges Given that the dipole moment for HCl ( ) = 1.03 D how much separation of charge exists between the H and Cl atoms. = Qr 1.03D ( 3.33 x 10-30 C-m/D) = Q (1.36 A) (1x 10-10m/A) Q = 2.52 x 1020C %Q = (2.52 x 1020C/1.6 x 10-19C)x 100 = 15.8 15 Dipole Moment: The Polarity of Polyatomic Molecules The polarity of a molecule is dependent upon both the polarities of the bonds and the geometry of the molecule 16 Dipole Moment: The Polarity of Polyatomic Molecules 17 Covalent Bonding and Orbital Overlap: Valence Bond Theory Valence Bond Theory unifies Lewis’ notion of electron-pair bonds and the quantum notion of atomic orbitals. 18 Covalent Bonding and Orbital Overlap: Valence Bond Theory -bonds: results from the overlapping of two s-orbitals, one from each atom. -bonds appear to be weaker than -bonds! -bonds -bonds Formaldehyde (H2CO) -bonds: result from the overlapping of two p-orbitals, one from each atom. These covalent bonds are constructed from overlapped regions above and below the internuclear axis 19 : : Covalent Bonding and Orbital Overlap: Hybrid Orbitals :F : 2p5 : 1s2 2s2 Be F : 1s2 2s2 2p5 1s2 2s2 In order for an overlap to occur Beryllium must provide unpaired electrons. This is accomplished by promoting one of the 2S electrons 1s2 2s1 2p1 In order for each of the bonds to be identical, the 2s1 and 2p1 orbitals become hybridized sp 20 Covalent Bonding and Orbital Overlap: Hybrid Orbitals (sp, BeF2) Large lobes of sp hybrid orbitals Be Fluorine 2p orbitals 21 Covalent Bonding and Orbital Overlap: Hybrid Orbitals (sp2, BF3) B 1s2 2s 2 2p1 22 Covalent Bonding and Orbital Overlap: Hybrid Orbitals (sp2, BF3) In order for an overlap to occur Boron must provide 3 unpaired electrons. This is accomplished by promoting one of the 2S electrons 1s2 2s1 2p1 In order for each of the bonds to be identical, the 2s1 and 2p1 orbitals become hybridized sp2 23 Covalent Bonding and Orbital Overlap: Hybrid Orbitals (sp2, BF3) 24 Covalent Bonding and Orbital Overlap: Hybrid Orbitals (sp3, CH4) 1s2 2s2 109. 5° 2p1 promote Methane (CH4) 1s2 2s1 2p3 hybridize sp3 25 Covalent Bonding and Orbital Overlap: Hybrid Orbitals (sp3, CH4) 26 Covalent Bonding and Orbital Overlap: Hybrid Orbitals (sp3d, PF5) 3s2 3p3 3d promote Phosphorous Pentafluoride (PF5) 3s2 3p3 •Atoms in the third period and beyond can use their d orbitals sp3d1 3d hybridize 3d 27 Geometrical Arrangements Characteristic of Hybrid Orbitals 28 Geometrical Arrangements Characteristic of Hybrid Orbitals 29 Hybrid Orbitals and Multiple Bonds: Getting a Piece of the , Consider the molecular geometry of ethylene: 1s2 2s2 2p2 promote 1s2 2s1 2p3 hybridize sp2 •Note that the bond angles are probably trigonal planar. This suggests an sp2 configuration with one electron remaining in an unhybridized 2p orbital 30 Hybrid Orbitals and Multiple Bonds: Getting a Piece of the , 31 Hybrid Orbitals and Multiple Bonds: Getting a Piece of the , Consider the molecular geometry of acetylene 1s2 2s2 2p2 promote 1s2 2s1 2p3 hybridize sp •Note that the bond angles are probably linear. This suggests an sp configuration 32 with each of the two remaining electrons located in unhybridized 2p orbital Hybrid Orbitals and Multiple Bonds: Getting a Piece of the , 33 What about SO2 34 Hybrid Orbitals and Multiple Bonds: Delocalized Bonding In noncyclic compounds, bonding electrons are localized 35 Hybrid Orbitals and Multiple Bonds: Delocalized Bonding Cyclic compounds resonate, in these cases the bonds are delocalized This molecules are particularly stable and are described as aromatics 36 Molecular Orbitals: Its Quantum Time! antibonding orbitals bonding orbitals Contour Representations 37 H2, He2 38 39 40 41 O2, F2, O2-1 42 Bond order = bonding electrons – antibonding electrons divided by 2 paramagnetic- magnetic field caused by unpaired electrons diamagnetic- weakly repelled by magnetic field, caused by all electrons being paired. 43 B2, C2, N2, NO 44