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According to general organic chemistry the order of stability is as follows:

aromaticity > resonance > hyperconjugation > inductive effect

Since primary allylic carbocation shows resonance as well as hyperconjugation, moreover resonance is greater than any other effect then why is primary allylic carbocation less stable than tertiary carbocation.

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  • $\begingroup$ I am not quite sure about the numbers myself. I can believe that the relative energy of a tertiary carbocation is higher than the relative energy of a primary allylic cation (therefore making the tertiary cation less stable). You also need to consider that in a chemical reaction, stability does not only depend on the energy, but also on the reaction speed. Since primary allylic cation is sterically unhindered, it may react faster, making it less stable. Again, it is only a first guess, I do not have numbers for this. $\endgroup$
    – user23638
    Mar 1 '17 at 11:33
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    $\begingroup$ Because simple concepts only get you so far. $\endgroup$
    – Jan
    Mar 1 '17 at 12:35
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The decreasing order of stablity of carbocations is:

aromatic (tropylium, cyclopropenyl) > benzyl > allyl > tertiary > secondary > primary

Allylic carbocations are resonance stabilized whereas tertiary alkyl groups are stabilized by hyperconjugation (and inductive effect). The hyperconjugation (and inductive effect), in general, is quite weaker than resonance (and hyperconjugation effect). The only exceptions to the previous statement I am aware of are halogens (inductive effect is stronger than resonance).

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  • $\begingroup$ I would put aromatic ring ions (tropylium, cyclopropenyl) first before benzyl. $\endgroup$
    – Oscar Lanzi
    Apr 3 '17 at 21:11

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