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Pearson's Hard Soft [Lewis] Acid Base




The Hard Soft [Lewis] Acid Base Principle

In the nineteen sixties, Ralph Pearson attempted to explain the differential affinity of electron
pair donating Lewis bases towards electron pair accepting Lewis acids, ie. Lewis acid/base
complexation:

                    A + B –> A-B

by classifying Lewis acids and Lewis bases as hard, borderline or soft.

According to Pearson's hard soft [Lewis] acid base (HSAB) principle:

          Hard [Lewis] acids prefer to bind to Hard [Lewis] bases

                    and

          Soft [Lewis] acids prefer to bind to Soft [Lewis] bases




Pearson's HSAB Species

          Pearson's Hard Lewis Acids:




          Pearson's Borderline Lewis Acids:




http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (1 of 7)1/12/2004 11:51:35 AM
Pearson's Hard Soft [Lewis] Acid Base




          Pearson's Soft Lewis Acids:




          Pearson's Hard Lewis Bases:




          Pearson's Borderline Lewis Bases:




          Pearson's Soft Lewis Bases:




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Pearson's Hard Soft [Lewis] Acid Base




In 1968, G. Klopman quantified Pearson's HSAB principle using frontier molecular orbital
(FMO) theory. (The Klopman equation is discussed, here. ) Klopman proposed that:

          Hard [Lewis] Acids bind to Hard [Lewis] Bases to give charge-controlled
          ionic complexes

                    and

          Soft [Lewis] Acids bind to Soft [Lewis] Bases to give FMO-controlled
          covalent complexes




Combining Pearson's and Klopman's ideas:

          • Hard Lewis acids:

                    Atomic centres of small ionic radius and with net positive charge.

                    Species do not contain electron pairs in their valence shells, they
                    have a low electron affinity and are likely to be strongly solvated.

                    High energy LUMO.

          • Soft Lewis acids:

                    Large radius, low or partial (delta+) positive charge.

                    Electron pairs in their valence shells. Easy to polarise and oxidise.

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Pearson's Hard Soft [Lewis] Acid Base



                    Low energy LUMOs but large magnitude LUMO coefficients.

          • Hard Lewis bases:

                    Small, highly solvated, electronegative atoms: 3.0-4.0.

                    Species are weakly polarisable and are difficult to oxidise. Low

                     Low energy HOMO.

          • Soft Lewis bases:

                    Large atoms of intermediate electronegativity: 2.5-3.0.

                    Easy to polarise and oxidise.

                     High energy HOMOs but large magnitude HOMO coefficients.

          • Borderline species have intermediate properties.

          • It is not necessary for species to possess all properties.




The Pearson approach is very successful when comparing pairs of species:

          Sodium ion Na+ is harder than the silver ion Ag+

          Alkoxide ions, RO–, are harder than thioanions, RS–

          Copper(II) ion, Cu2+, is harder than copper(I) ion, Cu+

          The nitrogen anion end of the ambidentate cyanide ion, CN–, is harder than the
          carbon anion end, NC–

This type of analysis can be very useful. For example, beta-propiolactone is ring opened by
nucleophilic Lewis bases, however, attack can occur at two positions:

          • Harder nucleophiles like alkoxide ion, R-O–, attack the acyl (carbonyl) carbon.

          • Softer nucleophiles like thioanion, R-S–, attack the 3-position carbon.

http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (4 of 7)1/12/2004 11:51:35 AM
Pearson's Hard Soft [Lewis] Acid Base




          This graphic is captured from The Chemical Thesaurus, here. There are a
          number of examples of this type in this reaction chemistry database.




Problems...

However, there is a problem.

While the Pearson-Klopman HSAB model is not "wrong"... it does grossly oversimplify the
reaction chemistry. The reason is that no physical parameter correlates with hardness over
Pearson's chosen set of species.

And as a result, the model introduces ambiguities. How similar are:

          Pearson's hard Lewis acids: [NH4]+                         H+      CO2        Cs+   Cu2+


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Pearson's Hard Soft [Lewis] Acid Base


          Pearson's soft Lewis bases: H–                      R2S:       R–      benzene

Even more importantly, the interesting hard-soft interactions and complexations are simply not
discussed by Pearson's model. What about:

                    Sodium hydride

                    Lithium aluminium hydride

                    Lead(IV) acetate

                    Methyl lithium

                    Borane-THF

                    Triethyloxonium tetrafluoroborate

                    Ferrocene

The one-dimensional hard-borderline-soft continuum or Pearson's analysis actually has
the effect of blurring much of the rich, linear (predictable) behaviour which can be
found in Lewis acid/base reaction chemistry space.

The chemogenesis analysis, here, avoids and explains the pitfalls of the
Pearson approach.



The HSAB Papers

          R.G.Pearson, J.Am.Chem.Soc., 85, 3533-3543, 1963

          R.G.Pearson, Science, 151, 172-177, 1966

          R.G.Pearson, Chem. Br., 3, 103-107, 1967

          R.G.Pearson, J.Chem.Ed., 45, 581-587, 1968

          G.Klopman and R.F.Hudson, Theoret. Chim. Acta, 8, 165, 1967

          G.Klopman, J.Am.Chem.Soc., 90, 223-234, 1968

http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (6 of 7)1/12/2004 11:51:35 AM
Pearson's Hard Soft [Lewis] Acid Base



Also look here.




© Mark R. Leach 2003




http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (7 of 7)1/12/2004 11:51:35 AM

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Hard soft acid_base

  • 1. Pearson's Hard Soft [Lewis] Acid Base The Hard Soft [Lewis] Acid Base Principle In the nineteen sixties, Ralph Pearson attempted to explain the differential affinity of electron pair donating Lewis bases towards electron pair accepting Lewis acids, ie. Lewis acid/base complexation: A + B –> A-B by classifying Lewis acids and Lewis bases as hard, borderline or soft. According to Pearson's hard soft [Lewis] acid base (HSAB) principle: Hard [Lewis] acids prefer to bind to Hard [Lewis] bases and Soft [Lewis] acids prefer to bind to Soft [Lewis] bases Pearson's HSAB Species Pearson's Hard Lewis Acids: Pearson's Borderline Lewis Acids: http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (1 of 7)1/12/2004 11:51:35 AM
  • 2. Pearson's Hard Soft [Lewis] Acid Base Pearson's Soft Lewis Acids: Pearson's Hard Lewis Bases: Pearson's Borderline Lewis Bases: Pearson's Soft Lewis Bases: http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (2 of 7)1/12/2004 11:51:35 AM
  • 3. Pearson's Hard Soft [Lewis] Acid Base In 1968, G. Klopman quantified Pearson's HSAB principle using frontier molecular orbital (FMO) theory. (The Klopman equation is discussed, here. ) Klopman proposed that: Hard [Lewis] Acids bind to Hard [Lewis] Bases to give charge-controlled ionic complexes and Soft [Lewis] Acids bind to Soft [Lewis] Bases to give FMO-controlled covalent complexes Combining Pearson's and Klopman's ideas: • Hard Lewis acids: Atomic centres of small ionic radius and with net positive charge. Species do not contain electron pairs in their valence shells, they have a low electron affinity and are likely to be strongly solvated. High energy LUMO. • Soft Lewis acids: Large radius, low or partial (delta+) positive charge. Electron pairs in their valence shells. Easy to polarise and oxidise. http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (3 of 7)1/12/2004 11:51:35 AM
  • 4. Pearson's Hard Soft [Lewis] Acid Base Low energy LUMOs but large magnitude LUMO coefficients. • Hard Lewis bases: Small, highly solvated, electronegative atoms: 3.0-4.0. Species are weakly polarisable and are difficult to oxidise. Low Low energy HOMO. • Soft Lewis bases: Large atoms of intermediate electronegativity: 2.5-3.0. Easy to polarise and oxidise. High energy HOMOs but large magnitude HOMO coefficients. • Borderline species have intermediate properties. • It is not necessary for species to possess all properties. The Pearson approach is very successful when comparing pairs of species: Sodium ion Na+ is harder than the silver ion Ag+ Alkoxide ions, RO–, are harder than thioanions, RS– Copper(II) ion, Cu2+, is harder than copper(I) ion, Cu+ The nitrogen anion end of the ambidentate cyanide ion, CN–, is harder than the carbon anion end, NC– This type of analysis can be very useful. For example, beta-propiolactone is ring opened by nucleophilic Lewis bases, however, attack can occur at two positions: • Harder nucleophiles like alkoxide ion, R-O–, attack the acyl (carbonyl) carbon. • Softer nucleophiles like thioanion, R-S–, attack the 3-position carbon. http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (4 of 7)1/12/2004 11:51:35 AM
  • 5. Pearson's Hard Soft [Lewis] Acid Base This graphic is captured from The Chemical Thesaurus, here. There are a number of examples of this type in this reaction chemistry database. Problems... However, there is a problem. While the Pearson-Klopman HSAB model is not "wrong"... it does grossly oversimplify the reaction chemistry. The reason is that no physical parameter correlates with hardness over Pearson's chosen set of species. And as a result, the model introduces ambiguities. How similar are: Pearson's hard Lewis acids: [NH4]+ H+ CO2 Cs+ Cu2+ http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (5 of 7)1/12/2004 11:51:35 AM
  • 6. Pearson's Hard Soft [Lewis] Acid Base Pearson's soft Lewis bases: H– R2S: R– benzene Even more importantly, the interesting hard-soft interactions and complexations are simply not discussed by Pearson's model. What about: Sodium hydride Lithium aluminium hydride Lead(IV) acetate Methyl lithium Borane-THF Triethyloxonium tetrafluoroborate Ferrocene The one-dimensional hard-borderline-soft continuum or Pearson's analysis actually has the effect of blurring much of the rich, linear (predictable) behaviour which can be found in Lewis acid/base reaction chemistry space. The chemogenesis analysis, here, avoids and explains the pitfalls of the Pearson approach. The HSAB Papers R.G.Pearson, J.Am.Chem.Soc., 85, 3533-3543, 1963 R.G.Pearson, Science, 151, 172-177, 1966 R.G.Pearson, Chem. Br., 3, 103-107, 1967 R.G.Pearson, J.Chem.Ed., 45, 581-587, 1968 G.Klopman and R.F.Hudson, Theoret. Chim. Acta, 8, 165, 1967 G.Klopman, J.Am.Chem.Soc., 90, 223-234, 1968 http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (6 of 7)1/12/2004 11:51:35 AM
  • 7. Pearson's Hard Soft [Lewis] Acid Base Also look here. © Mark R. Leach 2003 http://www.meta-synthesis.com/webbook/43_hsab/HSAB.html (7 of 7)1/12/2004 11:51:35 AM