Are the inductive effect and hyperconjugation both different ways of looking at the same phenomenon - i.e. methyl groups donate negative charge for example. Inductively we can argue that carbon is of greater electronegativity than hydrogen, and so carbon withdraws negative charge from hydrogen, and thus negative charge is "donated" to whatever that the methyl is attached to.
From a hyperconjugative effect we can argue that there is some interaction between the C-H orbitals and some antibonding orbital ... how is this supposed to be stabilizing if it involves an antibonding orbital?
Answer
Are the inductive effect and hyperconjugation both different ways of looking at the same phenomenon
I think so, both inductive and resonance (that's what hyperconjugation is after all) effects move electrons around. I tend to separate the two effects as follows:
- inductive effects are associated with electron movement through sigma bonds due to electronegativity differences
- resonance effects are associated with electron movement through p orbitals due to electronegativity differences
For example, we often say that a methyl group stabilizes a double bond (carbon-carbon or carbonyl) or a carbocation. The methyl group is roughly $\ce{sp^3}$ hybridized while the double bond carbon or carbocation carbon is roughly $\ce{sp^2}$ hybridized. An $\ce{sp^2}$ orbital is generally lower in energy than an $\ce{sp^3}$ orbital because it contains more s-character. Therefore electrons will generally prefer to flow from $\ce{sp^3}$ to $\ce{sp^2}$ orbitals. The direction of this electron flow also indicates that $\ce{sp^2}$ orbitals are more electronegative than $\ce{sp^3}$ orbitals. How can the $\ce{sp^3}$ methyl group shift electrons to the lower energy, more electronegative $\ce{sp^2}$ carbon? It can do it inductively (through sigma bonds) or through resonance (through p orbitals).
I've added a picture showing resonance structures involving hyperconjugation, just to be clear as to what hyperconjugation involves. 
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