1 CHEM 3013 ORGANIC CHEMISTRY I LECTURE NOTES CHAPTER 2 1. Formal Charge The Lewis structures we have drawn thus far have all been neutral covalent molecules. However, some covalently bonded molecules may contain charged atomic components. Furthermore, many ionic species also contain covalent bonds. To manage the electronic bookkeeping we assign a formal charge to each of the atoms of a structure. The formula , Formal Charge = Valence Electrons - 1/2( Bonding Electrons) - N onBonding Electrons will be used for this purpose. + H H N For Nitrogen H FC = VE-(1/2BE + NBE) FC = 5 - ( 8/2 + 0) = 1 For Hydrogen FC = VE-(1/2BE + NBE) FC = 1 - (2/2 + 0) = 0 H Nitrogen bears the positive charge Calculation of Formal Charge 2. Polar Covalent Bonds Like most things in nature there are "gray" areas between the ionic and covalent bond. A polar covalent bond is a covalent bond between two atoms of differing electronegativity. Electronegativity increases as you move to the right and the top of the periodic table. Electronegative elements need more electron density near them. We can predict the nature of a chemical bond by using the difference in Pauling Electronegativities, (∆ E.Neg.). For example, acetonitrile is a compound containing a triple bond where the electronegativity of nitrogen is greater than that of carbon. Thus the electron density on the nitrogen is greater than on the carbon. δ+ δ− C N Pauling 2.5 Electroneg. 3.0 H 3C E.NEG = 0.5 3. POLAR COVALENT BOND Dipole Moments The polarization of a covalent bond (separation of charge densities) gives rise to a dipole along the internuclear axis. This dipole is a measurable quantity which is exerted in a localized direction ( a vector). The dipole moment, µ is a product of the charge separation in electrostatic units, q,( esu), the bond length, r, (A) and a constant term (1010 debye/esu . A ). 2 F H H F µ = 2.76 D No Net Dipole C F F H C F µ = q x r x 1010 debye/esu A Y A vector can be resolved into it's three component directions. A combination of dipole moments may result in a net cancellation. X Z Bond Dipoles 4. Resonance Structures Resonance structures are groups of Lewis-type representations which differ only in the position of localized electron density. A resonance structure is a formula which can be written which involves the movements of bonds, unshared electron pairs, single electrons or charges. It is important to understand that atoms stay fixed in space in resonance structures, only electrons are shared over one atom. Structures which involve the movement of atoms are not valid resonance forms. The standard rules for writing valid Lewis structures (octet rule, no pentavalent carbons, etc.) apply for resonance forms. Two possible Lewis Structures for the acetate ion: CH3COO O a H C C H H O b For Oxygen a: FC = 0 For Oxygen b: FC = -1 a O C H C H H O b FC = -1 FC = 0 RESONANCE STRUCTURES O H - 1/2 C C H H O - 1/2 Each Oxygen has a -1/2 Formal Charge. The one double bond is shared. RESONANCE HYBRID DO NOT USE TWO SINGLE ARROWS, THIS DEPICTS AN EQUILIBRIUM Use of Double-Headed Arrows to indicate Resonance Structures The formalism used to depict resonance structures is the double-headed arrow. This must be well-understood to be distinct from the pair of single headed arrows used to describe an equilibrium reaction. It must be remembered that while we may draw several separate structural formulae to depict the various resonance contributors, these are not individual molecules in equilibrium with one another, but a composite depiction of the 3 chemical species being discussed. Resonance and equilibrium ARE NOT THE SAME THING . A molecule is a weighted average of all its contributing resonance structures. The structural depiction of the weighted average is called the Resonance Hybrid . The best real world analogy for a resonance hybrid would be to consider a biological hybrid formed when two related species form offspring. A good example of this is the mule, a hybrid formed in the crossing of a horse and a donkey. A mule is always a mule, it show some characteristics of horses and some of donkeys, but it is always a mule. It never spends part of its time as a horse and part of its time as a donkey ( this would be like equilibrium).\ While a molecule is an average of its contributing resonance structures, it need not be true that all resonance forms contribute equally. To assess the weighting of the contributions we examine the various structures and consider their stability as if they were real individual molecules ( which , of course, they are not). The forms that have the greatest stability are the forms which have the greatest contribution to the resonance hybrid. 1. Identical structures contribute equally. H C H C CH2 CH2 CH2 CH2 allyl anion 2. Structures with the greater number of bonds are more important H2C H2C CH2 H2C CH2 CH2 BEST 3. Structures that delocalize charge or unshared electrons are important H2C H2C O CH3 O CH3 4. When considering structures with separated charges, atoms with appropriate electronegativity will best accomodate the charges. H3C O H3C O C C H3C H3C BEST Rules for Writing Resonance Structures In General, the more important resonance structures one can write for a compound, the more stable will be that compound . Resonance structures imply additional orbital overlap, and hence, stability. 4 5. Bronstead Acidity and Basicity A general acid HA, in aqueous solution, can dissociate into its component parts, H+ (the proton) and A- (the conjugate base of HA). The larger the equilibrium constant for this ionization reaction, the stronger the acid will be. Because of the great range of organic acids, chemists usually discuss this subject using a log scale, where pKa is defined as the negative log of the equilibrium constant Ka. Most compounds fall within the pKa range of 55 (exceedingly weak organic acids like methane) to -7 (strong inorganic acids like H2SO4). Chemical reactivity and reaction mechanisms are often intimately related to acid strength. Factors related to acid strength will be of critical importance throughout this course. Ka HA H+ + A- Ka = H+ A- 1/Ka HA pKa = - log Ka HOH H+ + HO Ka = 10-16 pKa = 16 Equilibrium lies to the left, water is only slightly ionized. Water is a relatively weak acid. Smaller, more negative pKa............Stronger acid Larger, more positive pKa..............Weaker acid Acids, Bases and pKa 6. Acid, Base Reactions Being able to predict whether an acid-base reaction will proceed or not is very important. A reaction will proceed to the right (towards products) only if the conjugate acid is a weaker acid. 5 HA acid + NH3 + pKa = 35 B:base H-B + conjugate acid A:conjugate base HO:- HOH + pKa = 16 :NH2- Equilibrium favors reactants, little products formed. Keq = ? To solve : combine the Ka for each of the individual species. Keq = Ka(NH3) x 1/Ka(HOH) = 10-35/10-16 = 10-19 The reaction is extremely unfavorable! Calculation of acid-base reaction using pKa data. 7. Lewis Acids and Bases A Lewis acid is defined as an electron acceptor. They are species which are at least one electron pair short of a filled outer shell configuration(either octet or duet), because of this they are very reactive toward electron sources. Another term for Lewis acids is electrophiles (electron loving species).Typically, a Lewis acid is a cation , (e.g. H+, Li+, (CH 3)3C+) or a metal atom in a salt.A Bronstead acid (proton source) is also a Lewis acid A Lewis base is defined as an electron donor. They are species that react with Lewis acids by supplying an electron pair. Another name for Lewis bases is nucleophiles (nucleus loving species). A typical Lewis base is an anion (e.g. OH-) or a neutral heteroatom with at least one pair of non-bonding electrons (e.g. :NH 3). A Lewis acid must have available a low energy empty orbital to accept an electron pair from the Lewis base. empty orbital F F + F B F F Flouride anion Lewis base Boron triflouride Lewis acid F B F F Tetrafluoroborate anion Reaction of Lewis Acid with a Lewis Base 7. Combustion Analysis Converting organic compounds to carbon dioxide and water by combustion provides an analytical means for determination of the % composition of the molecule in question. This allows an organic chemist to assign an empirical formula to the compound in question. The equations: 6 Weight H in sample = weight H2O x (2.016g H / 18.016 g H2O) Weight C in Sample = weight CO2 x (12.01 g C / 44.01 g CO2) % H in Sample = Weight H in sample / sample weight % C in Sample = Weight C in Sample / sample weight