A carbocation is a species where a carbon atom bonds to three carbon atoms and has a positive charge. Carbocations are electron deficient species and therefore very reactive and unstable. Anything which donates electron density to the electron-deficient center will help to stabilize them. 
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CARBOCATIONS & STABILITY
Factors that stabilize them are the following: Neighboring carbon atoms (inductive effect) Neighboring carbon-carbon multiple bonds (resonance effect) Neighboring atoms with lone pairs (resonance effect) 
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How carbocations are stabilized by neighboring carbons atoms? The stability of carbocations decreases as the number of carbons attached to the C+ decreases. That means that tertiary carbocations are more stable than secondary that in turn are more stable than primary (Fig. 1) 
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Fig. 1: Carbocation stability increases as methyl substitution increases around the electron 
deficient carbon C+. The methyl groups (-CH3) are electron donating and therefore 
stabilize the positive charge (inductive effect). 
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An explanation for this is that the methyl group (-CH3) acts as an electron-donor and therefore stabilizes the positively charged cation. Remember that the C atom has an electronegativity of 2.5 and that H 2.2.
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A better explanation is that electrons are donated from the C-H bonds to the empty p orbital of the C+ therefore stabilizing the carbocation through hyperconjugation (the more the - CH3 groups attached to the C+ the more stable the carbocation becomes).
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How carbocations are stabilized by carbon- carbon multiple bonds (resonance)? Carbocations where the C+ is adjacent to another carbon atom that has a double or triple bond have extra stability because of the overlap of the empty p orbital of the carbocation with the p orbitals of the π
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bond. This overlap of the orbitals allows the charge to be shared between multiple atoms – delocalization of the charge - and therefore stabilizes the carbocation.
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Fig. 2: Carbocation stabilization by multiple bonds adjacent to the C+ atom through p-orbital overlap
This effect is called charge delocalization and is shown by drawing resonance structures where the charge moves from atom to atom. It greatly stabilizes even primary carbocations – normally very unstable – that are adjacent to a carbon- carbon multiple bond. 
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Fig. 3: Carbocation stabilization by multiple bonds adjacent to the C+ atom
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How carbocations are stabilized by adjacent atoms with lone pairs? Adjacent atoms with lone pairs act as electron donors to the electron-poor carbocation. This results in forming a double bond (π bond) and the charge is
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delocalized to the atom donating the electron pair (π donation). Nitrogen and oxygen atoms are the most powerful π donors. However, even halogen atoms stabilize carbocations through donation of a lone pair.
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Fig. 4: Stabilization of the carbocation by lone pair donation. The O atom donates an electron pair to the C+ atom and a double bond is formed. The positive charge is delocalized to the oxygen atom providing extra stability.

Carbocations and factors affecting their stability

  • 1.
    A carbocation isa species where a carbon atom bonds to three carbon atoms and has a positive charge. Carbocations are electron deficient species and therefore very reactive and unstable. Anything which donates electron density to the electron-deficient center will help to stabilize them. Chemistry Net http://chem-net.blogspot.com 1 CARBOCATIONS & STABILITY
  • 2.
    Factors that stabilizethem are the following: Neighboring carbon atoms (inductive effect) Neighboring carbon-carbon multiple bonds (resonance effect) Neighboring atoms with lone pairs (resonance effect) Chemistry Net http://chem-net.blogspot.com 2
  • 3.
    How carbocations arestabilized by neighboring carbons atoms? The stability of carbocations decreases as the number of carbons attached to the C+ decreases. That means that tertiary carbocations are more stable than secondary that in turn are more stable than primary (Fig. 1) Chemistry Net http://chem-net.blogspot.com 3
  • 4.
    Fig. 1: Carbocationstability increases as methyl substitution increases around the electron deficient carbon C+. The methyl groups (-CH3) are electron donating and therefore stabilize the positive charge (inductive effect). Chemistry Net http://chem-net.blogspot.com 4
  • 5.
    Chemistry Net http://chem-net.blogspot.com 5 An explanation for this is that the methyl group (-CH3) acts as an electron-donor and therefore stabilizes the positively charged cation. Remember that the C atom has an electronegativity of 2.5 and that H 2.2.
  • 6.
    Chemistry Net http://chem-net.blogspot.com 6 A better explanation is that electrons are donated from the C-H bonds to the empty p orbital of the C+ therefore stabilizing the carbocation through hyperconjugation (the more the - CH3 groups attached to the C+ the more stable the carbocation becomes).
  • 7.
    Chemistry Net http://chem-net.blogspot.com 7 How carbocations are stabilized by carbon- carbon multiple bonds (resonance)? Carbocations where the C+ is adjacent to another carbon atom that has a double or triple bond have extra stability because of the overlap of the empty p orbital of the carbocation with the p orbitals of the π
  • 8.
    Chemistry Net http://chem-net.blogspot.com 8 bond. This overlap of the orbitals allows the charge to be shared between multiple atoms – delocalization of the charge - and therefore stabilizes the carbocation.
  • 9.
    Chemistry Net http://chem-net.blogspot.com 9 Fig. 2: Carbocation stabilization by multiple bonds adjacent to the C+ atom through p-orbital overlap
  • 10.
    This effect iscalled charge delocalization and is shown by drawing resonance structures where the charge moves from atom to atom. It greatly stabilizes even primary carbocations – normally very unstable – that are adjacent to a carbon- carbon multiple bond. Chemistry Net http://chem-net.blogspot.com 10
  • 11.
    Chemistry Net http://chem-net.blogspot.com 11 Fig. 3: Carbocation stabilization by multiple bonds adjacent to the C+ atom
  • 12.
    Chemistry Net http://chem-net.blogspot.com 12 How carbocations are stabilized by adjacent atoms with lone pairs? Adjacent atoms with lone pairs act as electron donors to the electron-poor carbocation. This results in forming a double bond (π bond) and the charge is
  • 13.
    Chemistry Net http://chem-net.blogspot.com 13 delocalized to the atom donating the electron pair (π donation). Nitrogen and oxygen atoms are the most powerful π donors. However, even halogen atoms stabilize carbocations through donation of a lone pair.
  • 14.
    Chemistry Net http://chem-net.blogspot.com 14 Fig. 4: Stabilization of the carbocation by lone pair donation. The O atom donates an electron pair to the C+ atom and a double bond is formed. The positive charge is delocalized to the oxygen atom providing extra stability.