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Why are tertiary alcohols more reactive than primary alcohols?

Run hard@thehsc

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The syllabus does not cover this for some reason, but I am kinda curious to know why? Thanks!!!
 

Vall

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oh lol bored of studies wont let me post an A T A R notes link. I'll copy+paste the answer here:
Hey!
To understand this, let's split the alcohol up into the hydroxide component (OH−OH−) and the carbon component, which we call the carbocation. The carbocation is positive and the hydroxide is negative.


In the carbocation of the tertiary alcohol, there are three alkyl groups attached. These three alkyl groups increase the positivity of the carbocation ie. makes the carbocation more positive. Now let's bring the oxygen and carbocation back together.

Because of the increased positive charge of the carbocation, there is a bigger difference in charge between the carbocation and the hydroxide. Hence, the polarity of the C-O bond increases, as both carbocation and hydroxide are "trying to get away from each other" due to the bigger difference in charge (remember that positive and negative repel). This is why tertiary alcohols are the most reactive of the bunch. The reactivity of primary and secondary alcohols are lower as they contain fewer alkyl groups, so they are less positive and so don't increase the positive charge of the carbocation as much.

I should mention that the reason behind the alkyl groups increasing the overall positive charge of the carbocation is due to something we call the "inductive effect", which you don't really need to know.

Hope that helps! I hope other people answer this, as I have sort of simplified the actual chemistry behind this. But this should give you a general idea of why reactivity is higher in tertiary alcohols.

Credit to: r1ckworthy on ATAR notes
 

someth1ng

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Honestly, I simply hate phrasing it as "tertiary alcohols are more reactive than primary alcohols". Why? It is completely reaction-dependent and absolutely incorrect to answer this question without referring to the exact reaction you are looking at. For example, tertiary alcohols are far less reactive to oxidation reactions. I'm going to assume this is specifically the reaction of an alcohol with a hydrogen halide acid (i.e. an SN1 reaction).

As for r1ckworthy's answer, IMO, total bullshit. It is inaccurate to refer to any polarization or weakening of the C-O bond as a cause for the increased rate of the SN1 reaction. The increased substitution just...doesn't really do that much for the neutral molecule. The rate of a reaction is dependent on the activation energy (Eact1), which involves the reactant and the transition state only. Also, the reasoning was total nonsense (e.g. "positive and negative repel"? Seriously?).

There are several steps in this reaction:
  1. Protonation, where the alcohol gets protonated by the acid (protonations are usually fast and reversible).
  2. Ionisation, where water is released to generate the carbocation (generally the rate-determining step)
  3. The carbocation is captured by the halogen ion (usually fast and technically reversible to some extent).
1659625779576.png

The potential energy diagram will look something like this (in this case, X = H2O, Nu = halogen), showing steps two and three only:
1659626366904.png

In this diagram, the first step has a large energy barrier to generate the carbocation intermediate (in the middle of the saddle). To understand why tertiary alcohols are more reactive, you need to know why the activation energy (i.e. Eact1) is smaller when using tertiary alcohols. For this, you need to know about Hammond's postulate:

"If two states, as, for example, a transition state and an unstable intermediate, occur consecutively during a reaction process and have nearly the same energy content, their interconversion will involve only a small reorganization of the molecular structures."

That is, the energy of the carbocation and the adjacent transition state (i.e. the peak) is closer in energy (compared to the protonated alcohol and the transition state), so they will be more structurally similar. In other words, the transition state will resemble the carbocation (or is carbocation-like). From here, we can talk about substitution and how it can stabilise a carbocation. The diagram below ranks most stable to least stable (i.e. more substitution = more stable carbocation).
1659625793963.png

Now, to understand why it's more stable...it just comes down to how adjacent C-H or C-C bonds contain electrons and those bonds can partially overlap with the empty p-orbital of the carbocation (essentially donating some electron density to the carbocation, diagram below). So in fact, the more substituted carbocation is less positively charged (at the carbon centre) than a less substituted carbocation. Remember what I said before: the transition state resembles the intermediate/carbocation (Hammond's postulate). Therefore, things that stabilise the carbocation will also stabilise the transition state (lowering both potential energies, second diagram), lowering the activation energy (Eact1) and increasing the reaction rate. This means for the tertiary carbocation, you are accumulating less positive charge on any single atom.
1659627175174.png
Also, for the protonated alcohol, the potential energies are largely unaffected by substitution because substitution does not stabilise the positive charge on the oxygen. Therefore, I focused on the transition state and carbocation intermediate where substitution has a large impact. If you're curious, the second transition state (i.e. halide capture) is also carbocation-like, so increased substitution will stabilise that too.

tl;dr more substitution stabilises the carbocation intermediate, whose formation is the rate-determining step. adjacent C-H bonds can donate some electron density to the carbocation, which lowers its energy and helps its formation.
 
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