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group Protic and Lewis acids So now we can draw a mechanism for the attack of a nucleophile on the carbonyl group. The lone pair electrons on the nucleophile move into the π* orbital of the C=O double bond and so break the πbond, though not, of course, the σ bond. Here is that process in curly arrow terms. The lone pair electrons on oxygen interact better with empty orbitals such as the 1s of the proton and so carbonyl compounds are protonated on oxygen. The resulting cation is even more electrophilic because of the positive charge but nucle- ophiles still attack the carbon atom of the carbonyl group because the π* orbital still has more contribution from carbon. The positive charge is neutralized even though the nucle- ophile does not attack the positively charged atom. Even σ bonds can be electrophilic if the atom at one end of them is sufficiently electronegative to pull down the energy of the σ* orbital. Familiar examples are acids where the acidic hydrogen atom is joined to strongly electronegative oxygen or a halogen thus providing a dipole moment and a rela- tively low-energy σ* orbital. These two diagrams suggest two different ways of looking at the reaction between a base and an acid, but usually both interactions are important. Notice that an acid is just an elec- trophile that has an electrophilic hydrogen atom and a base is just a nucleophile that acts on a hydrogen atom. This question is explored more in Chapter 8. Bonds between carbon and halo- gen are also polarized in some cases though the electronegativity difference is sometimes very small. It is easy to exaggerate the importance of single-bond polarization. The electronegativity difference between H and Cl is 0.9 but that Chemical reactions 121 O O Ononbondinglone pairs bonding orbitals antibonding orbitals π π∗ nonbonding lone pair small energy gap Nu O ONuNu O O H H O H OHNuNu HCl B charged base δ+ H–Cl dipole δ– electrostatic attraction � These are Pauling electronegativities, calculated by Linus Pauling (1901–94) who won the chemistry Nobel prize in 1954 and the Nobel peace prize in 1983 and from whose ideas most modern concepts of the chemical bond are derived. Born in Portland, Oregon, he worked at ‘CalTech’ (the California Institute of Technology at Pasadena) and had exceptionally wide-ranging interests in crystallography, inorganic chemistry, protein structure, quantum mechanics, nuclear disarmament, politics, and taking vitamin C to prevent the common cold. HCl B σ* orbital of acid non-bonding lone pair of base Quick guide to important electronegativities H 2.1 Li B C N O F 1.0 2.0 2.5 3.0 3.5 4.0 Mg Al Si P S Cl 1.2 1.5 1.8 2.1 2.5 3.0 Br 2.8 I 2.5 between C and Br only 0.3 while the C–I bond is not polarized at all. When carbon–halogen σ bonds act as electrophiles, polarity hardly matters but a relatively low-energy σ* orbital is vitally important. The bond strength is also important in these reactions too as we shall see. Some σ bonds are electrophilic even though they have no dipole at all. The halogens such as bromine (Br2) are examples. Bromine is strongly electrophilic because it has a very weak Br–Br σ bond. Symmetrical bonds have the energies of the σ orbital and the σ* orbital roughly evenly dis- tributed about the nonbonding level. A weak symmetrical σ bond means a small energy gap while a strong symmetrical σ bond means a large energy gap. Bromine is electrophilic but carbon–carbon σ bonds are not. Reverting to the language of Chapter 4, we could say that the hydrocarbon framework is made up of strong C–C bonds with low-energy populated and high-energy unpopulated orbitals, while the functional groups react because they have low LUMOs or high HOMOs. An example would be the rapid reaction between a sulfide and bromine. No reaction at all occurs between a sulfide and ethane or any other simple C–C σ bond. Lone pair electrons are donated from sulfur into the Br–Br σ* orbital, which makes a new bond between S and Br and breaks the old Br–Br bond. Summary: interaction between HOMO and LUMO leads to reaction Organic reactions occur when the HOMO of a nucleophile overlaps with the LUMO of the elec- trophile to form a new bond. The two electrons in the HOMO slot into the empty LUMO. The react- ing species may be initially drawn together by electrostatic interaction of charges or dipoles but this is not necessary. Thus at this simplest of levels molecular recognition is required for reaction. The two components of a reaction must be matched in terms of both charge–charge attraction and the energy and orientation of the orbitals involved. Nucleophiles may donate electrons (in order of preference) from a lone pair, a πbond, or even a σ bond and electrophiles may accept electrons (again in order of preference) into an empty orbital or into the antibonding orbital of a πbond (π* orbital) or even a σ bond (σ* orbital). These antibond- ing orbitals are of low enough energy to react if the bond is very polarized by a large electronegativity difference between the atoms at its ends or, even for unpolarized bonds, if the bond is weak. The hydrocarbon framework of organic molecules is unreactive. Functional groups such as NH2 and OH are nucleophilic because they have nonbonding lone pairs. Carbonyl compounds and alkyl halides are electrophilic functional groups because they have low-energy LUMOs (π* for C=O and σ* for C–X, respectively). 122 5 . Organic reactions small Br Br Br Br Br Br H3C CH3 H3C CH3 σ six degenerate nonbonding lone pairs σ∗small energy gap σ∗ large energy gap strong bond large energy gap σ nonbonding electrons of nucleophile small gap good overlap large gap poor overlap energy gap weak bond � Notice how putting charges in circles (Chapter 2) helps here. There is no problem in distinguishing the charge on sulfur (in a ring) with the plus sign (not in a ring) linking the two products of the reaction. Br Br Me S Me Me S Me BrBr + Organic chemists use curly arrows to represent reaction mechanisms You have seen several examples of curly arrows so far and you may already have a general idea of what they mean. The representation of organic reaction mechanisms by this means is so important that we must now make quite sure that you do indeed understand exactly what is meant by a curly arrow, how to use it, and how to interpret mechanistic diagrams as well as structural diagrams. A curly arrow represents the actual movement of a pair of electrons from a filled orbital into an empty orbital. You can think of the curly arrow as representing a pair of electrons thrown, like a climber’s grappling hook, across from where he is standing to where he wants to go. In the simplest cases, the result of this movement is to form a bond between a nucleophile and an electrophile. Here are two examples we have already seen in which lone pair electrons are transferred to empty atomic orbitals. Note the exact position of the curly arrow as the value of this representation lies in the precision and uniformity of its use. The arrow always starts with its tail on the source of the moving electrons, representing the filled orbital involved in the reaction. The head of the arrow indicates the final des- tination of the pair of electrons—the new bond between oxygen and hydrogen or oxygen and alu- minium in these examples. As we are forming a new bond, the head of the arrow should be drawn to a point on the line between the two atoms. When the nucleophile attacks an antibonding orbital, such as the weak Br–Br bond we have just been discussing, we shall need two arrows, one to make the new bond and one to break the old. The bond-making arrow is the same as before but the bond-breaking arrow is new. This arrow shows that the two electrons in the bond move to one end (a bromine atom) and turn it into an anion. This arrow should start in the centre of the bond and its head should rest on the atom (Br in this case) at the end of the bond. Another example