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3. Simple Bonding Theory 3. 1 Lewis “Electron-Dot” Diagrams & Resonance 3.1 Lewis-Representation of “simple” molecules such as F2, N2, H2O, H-C≡C-H, or CO2 (but how about O2??) 3.1.1 Resonance Structures 3.1.2 Expanded Shells 1 3. 1.2 Expanded Shells 3.1.2 Expanded Shells How about IF7 (14 electrons), [TaF8]3− (16 electrons) …or even [XeF8]2− (18 electrons) Is that it? And if so, why? 2 for s 6 for p 10 for d + steric crowding [Mo(CN)8]4− square antiprismatic (COON 8) [Re(H)9]2− tricapped trigonal prismatic (COON 9) very high coordination numbers COON 3. 1.2 Expanded Shells 3.1.3 Formal Charge 2 3. 1.2 Expanded Shells & Formal Charges 3. 1.4 Multiple Bonds in Be and B Compounds +1 Multiple bonds for F and Cl as well as B and Be unreasonable; unlikely formal charges +1 -2 +1 for F, but resonance-stabilized trigonal planar prefers formation of adducts with Lewis-bases such as H3N: Et2O: or THF approx. tetrahedral 3 3. 2 VSEPR Theory Valence-Shell-Electron-Pair-Repulsion Theory described by Sidgwick & Powell (1940) further developed by Gillespie & Nyholm (1957) 80 Years and still VSEPRing Ronald J. Gillespie (Aug. 21, 1924) McMaster University 3. 2 VSEPR Theory Required Skills: Identify the central atom in a molecule containing more than two atoms as a start. Identify the number of valence electrons of any element. This concept is important, because you need to know the number of valence electrons in order to write a Lewis dot structure for the molecule in question. Count the number of VSEPR pairs or steric number (SN) for the central atom in a molecule. You need this number in order to describe or predict the shape of the molecule in question. Determine the number of lone electron pairs that are not shared with other atoms. Often, a Lewis dot structure is useful to help you count this number. Predict the shape of molecules or inos as the key concept of VSEPR theory. From the shape and by applying the idea that lone electron pairs takes up more space, you can predict the bond angles withing 5% of the observed values. Predict the values of bond angles and describe the hybrid orbitals used by the central atoms in the molecules or ions. 4 3. 2 VSEPR Theory Remember: Molecules adopt geometries in which their valence electron pairs position themselves as far from each other as possible! AXmEn Steric Number SN = n + m A = central atom X = any ligand E = lone pair(s) S of ligands & electron pairs! EA S SN = 2 linear Y! SN = 3 trigonal planar Multiple Bonding Does Not Effect the Geometry! Well, we’ll see… 3. 2 VSEPR Theory 5 3. 2 VSEPR Theory Conversion of a Cube into a Square Antiprism 3. 2 VSEPR Theory 3.2.1 Lone Pair Repulsion Differences between lone pairs & bonding pairs two 90o interactions three 90o interactions Assign the most space to lone electron pairs! 6 3. 2 VSEPR Theory 3.2.1 Lone Pair Repulsion OK, this one is tricky… ax 169.8 pm 87.5o eq 158.9 pm …just follow the rules: •90o (or less, especially for lp-lp) interactions is the worst • lp-bp interactions are more important to consider than bp-bp 3. 2 VSEPR Theory 3.2.1 Lone Pair Repulsion …in tbp geometries, lone pairs always equatorial and in octahedral lp are axial 7 3. 2 VSEPR Theory 3.2.2 Multiple Bonds Double and triple bonds have slightly greater repulsive effects than single-bonds: Tend to occupy the same positions as lone pairs (or compete): 3. 2 VSEPR Theory 3.2.3 Electronegativity: Scales, Geometry, and Size Effects Electronegativity is a measure of an atom’s ability to attract electrons from a neighboring atom to which it is bonded! H-H: EBE = 432 kJ/mol Cl-Cl: EBE = 240 H-Cl: EBE(est) = 336 H-Cl: EBE(exp) = 436 8 3. 2 VSEPR Theory 3.2.3 Electronegativity: Scales, Geometry, and Size Effects He & Ne do not form molecules (no known bonds): calculated from ionization energies Even more electronegative than F! Higher ionization, smaller radii 3. 2 VSEPR Theory 3.2.3 Bond Angles : Electronegativity or Does Size Matter ? either way, works well! doesn’t work at all 9 3. 2 VSEPR Theory 3.2.4 Bond Angles & Ligand-Close Packing Model Similarly inconclusive! 3. 2 VSEPR Theory Summary Summary to predict the shape of a molecule: •Write down the Lewis dot structure for the molecule •Count the number of bond pairs and lone pairs around the central atom •Decide on the electron pair orientation for the total number of electron pairs (4=tetrahedral, 6=octahedral…) •Consider the placement of lone pairs and any distortions from "regular" shapes •Name the shape based on the location of atoms (nuclei) 10 3. 2 VSEPR Theory Summary 3. 2 VSEPR Theory Summary 11 3. 2 VSEPR Theory Summary 3. 3 Polar Molecules 3. 3 Bond Dipoles & Molecular Dipoles The polarity of the molecule is the sum of all of the bond polarities in the molecule. Since the dipole moment (μ, measured in Debyes (D)) is a vector (a quantity with both magnitude and direction), the molecular dipole moment is the vector sum of the individual dipole moments. If we compare the molecular dipole moments of formaldehyde and carbon dioxide, both containing a polar carbonyl (C=O) group, we find that formaldehyde is highly polar while carbon dioxide is non-polar . Since CO2 is a linear molecule, the dipoles cancel each other 12 3. 3 Polar Molecules 3. 3 Bond Dipoles & Molecular Dipoles 3. 4 Hydrogen Bonding 3.4 Hydrogen Bonding & Boiling Points two lone pairs & very polar O-H bonds result in very large net dipole one lone pair & polar N-H bonds result in large net dipole sometimes opposing polarities & difficult to predict 13 3. 4 Hydrogen Bonding 3.4 The Effect of Hydrogen Bonding on Boiling Points H2O: four H-bonds HF: two H-bonds ” mal “nor ing MW s a es e incr on forc d n o L Now, think about all the awesome properties of “ice”… 3. 4 Hydrogen Bonding 3.4 The Effect of Hydrogen Bonding on “Life” NH3 …but -N—H—O- is just fine… …is tricky -> secondary & tertiary protein structures 14