Skip to main content

The Brönsted Equation—Its First Half-Century

  • Chapter
Correlation Analysis in Chemistry

Abstract

It is now just over 50 years since the Brönsted relation† between catalytic power and acid-base strength was proposed. Since then it has been very widely used, and constitutes the first example of a linear free energy relationship, a term that was not introduced until considerably later: In fact, the Brönsted equation preceded by some ten years the sigma-rho correlations introduced by Hammett and often regarded as the first example of this type of relationship.1 Further, there has recently been a revival of interest in the Brönsted equation in connection with reaction mechanisms and molecular pictures of kinetic processes. A review of the way in which our knowledge and interpretation of this relation have developed may therefore be of interest.

The erratum of this chapter is available at http://dx.doi.org/10.1007/978-1-4615-8831-3_12

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References and Notes

  1. See L. P. Hammett, Foreword to Advances in Linear Free Energy Relationships, N. B. Chapman and J. Shorter, eds. (Plenum Press, London, 1972).

    Google Scholar 

  2. J. N. Brönsted and and K. Pedersen, Z. phys. Chem., 108, 185, (1924).

    Google Scholar 

  3. J. Thiele and A. Lachmann, Justus Liebigs Ann. Chem., 288, 267 (1895).

    Article  CAS  Google Scholar 

  4. J. N. Brönsted, Rec. Trav. chim., 42, 718 (1923).

    Article  Google Scholar 

  5. H. M. Dawson and F. Powis, J. Chem. Soc., 2135 (1913).

    Google Scholar 

  6. H. M. Dawson and C. K. Reiman, J. Chem. Soc., 1426 (1915).

    Google Scholar 

  7. J. N. Brönsted, Om Syre- og Basekatalyse (University of Copenhagen, 1926); English translation, Chem. Rev., 5, 231 (1928).

    Google Scholar 

  8. K. J. Pedersen, Den almindelige Syre- og Basekatalyse, Doctoral thesis (Copenhagen, 1932); J. Phys. Chem., 38, 581 (1934); Trans. Faraday Soc., 34, 237 (1938).

    Google Scholar 

  9. S. W. Benson, J. Amer. Chem. Soc., 80, 5151 (1958).

    Article  CAS  Google Scholar 

  10. E. W. Schlag, J. Chem. Phys., 38, 2480 (1963); E. W. Schlag and G. L. Haller, J. Chem. Phys., 42, 584 (1965).

    Article  CAS  Google Scholar 

  11. D. M. Bishop and K. J. Laidler, J. Chem. Phys., 42, 1688 (1965); J. N. Murrell and K. J. Laidler, Trans. Faraday Soc., 64, 371 (1968).

    Article  Google Scholar 

  12. V. Gold, Trans. Faraday Soc., 60, 739 (1964).

    Article  Google Scholar 

  13. J. N. Brönsted and H. C. Duus, Z. phys. Chem., 117, 299 (1925).

    Google Scholar 

  14. J. N. Brönsted and K. Volqvartz, Z. phys. Chem., A, 155, 211 (1931).

    Google Scholar 

  15. J. N. Brönsted and J. E. Vance, Z. phys. Chem., A, 163, 240 (1933).

    Google Scholar 

  16. J. N. Brönsted, A. L. Nicholson, and A. Delbanco, Z. phys. Chem., A, 169, 379 (1934).

    Google Scholar 

  17. H. S. Taylor, Z. Elektrochem., 20, 201 (1914).

    CAS  Google Scholar 

  18. R. P. Bell, Acid-Base Catalysis, p. 91 (Oxford University Press, 1941).

    Google Scholar 

  19. J. N. Brönsted and E. A. Guggenheim, J. Amer. Chem. Soc., 49, 2554 (1927).

    Article  Google Scholar 

  20. R. P. Bell, The Proton in Chemistry, Chap. 9 (Chapman & Hall, London, 2nd edn., 1973).

    Google Scholar 

  21. M.-L. Ahrens, M. Eigen, W. Kruse, and G. Maass, Ber. Bunsengesellschaft Phys. Chem., 74, 380 (1970).

    CAS  Google Scholar 

  22. J. Horiuti and M. Polanyi, Acta Physicochim. U.R.S.S., 2, 505 (1935).

    Google Scholar 

  23. R. P. Bell, Proc. Roy. Soc., A, 154, 414 (1936).

    Article  Google Scholar 

  24. M. G. Evans and M. Polanyi, Trans. Faraday Soc., 32, 1333 (1936).

    Article  CAS  Google Scholar 

  25. Reference 20, pp. 79–82.

    Google Scholar 

  26. E. C. Baughan and R. P. Bell, Proc. Roy. Soc., A, 158, 464 (1937); see also Ref. 18, pp. 189–192.

    Article  CAS  Google Scholar 

  27. R. P. Bell, Chem. Soc. Rev., 3, 513 (1974).

    Article  CAS  Google Scholar 

  28. R. P. Bell, W. H. Sachs, and R. L. Tranter, Trans. Faraday Soc., 67, 1995 (1971).

    Article  CAS  Google Scholar 

  29. F. G. Bordwell, W. J. Boyle, J. A. Hautala, and K. C. Yee, J. Amer. Chem. Soc., 91, 4002 (1969).

    Article  CAS  Google Scholar 

  30. F. G. Bordwell, W. J. Boyle, and K. C. Yee, J. Amer. Chem. Soc., 92, 5926 ((1970).

    Article  CAS  Google Scholar 

  31. M. Fukuyama, P. W. K. Flanagan, F. T. Williams, L. Frainier, S. A. Miller, and H. Schechter, J. Amer. Chem. Soc., 92, 4689 (1970).

    Article  CAS  Google Scholar 

  32. F. G. Bordwell and W. J. Boyle, J. Amer. Chem. Soc., 93, 511 (1971); 94, 3907 (1972).

    Article  CAS  Google Scholar 

  33. F. G. Bordwell, Faraday Symposia, 10, 100 (1975);

    Article  CAS  Google Scholar 

  34. R. P. Bell and S. Grainger, J.C.S. Perkin II, 1367 (1976).

    Google Scholar 

  35. R. P. Bell, M. H. Rand, and K. M. A. Wynne-Jones, Trans. Faraday Soc., 52, 1093 (1956).

    Article  CAS  Google Scholar 

  36. F. Covitz and F. H. Westheimer, J. Amer. Chem. Soc., 85, 1773 (1963).

    Article  CAS  Google Scholar 

  37. J. A. Feather and V. Gold, J. Chem. Soc., 1752 (1965).

    Google Scholar 

  38. R. P. Bell, E. Gelles, and E. Möller, Proc. Roy. Soc., A, 198, 308 (1949).

    Article  CAS  Google Scholar 

  39. H. L. Pfluger, J. Amer. Chem. Soc., 60, 1513 (1938).

    Article  CAS  Google Scholar 

  40. R. P. Bell and A. F. Trotman-Dickenson, J. Chem. Soc., 1288 (1949).

    Google Scholar 

  41. R. P. Bell and G. L. Wilson, Trans. Faraday Soc., 46, 407 (1950).

    Article  CAS  Google Scholar 

  42. A. F. Trotman-Dickenson, J. Chem. Soc., 1293 (1949).

    Google Scholar 

  43. For references see Ref. 20, p. 219.

    Google Scholar 

  44. D. Berg and A. Patterson, J. Amer. Chem. Soc., 75, 5197 (1953); K. F. Wissbrunn, D. M. French, and A. Patterson, J. Phys. Chem., 58, 693 (1954).

    Article  CAS  Google Scholar 

  45. F. J. W. Roughton and V. H. Booth, Biochem. J., 32, 2048 (1938).

    Google Scholar 

  46. A. R. Olson and P. V. Youle, J. Amer. Chem. Soc., 62, 1027 (1940).

    Article  CAS  Google Scholar 

  47. R. P. Bell, B. G. Cox, and B. A. Timimi, J. Chem. Soc., (B), 2247 (1971).

    Google Scholar 

  48. R. P. Bell, B. G. Cox, and J. B. Henshall, J.C.S. Perkin II, 1232 (1972).

    Google Scholar 

  49. R. P. Bell, D. W. Earls, and J. B. Henshall, J.C.S. Perkin II, 39 (1976).

    Google Scholar 

  50. R. P. Bell and A. D. Covington, J.C.S. Perkin II, 1343 (1975).

    Google Scholar 

  51. R. P. Bell and B. G. Cox, J.C.S. Perkin II, 1349 (1975).

    Google Scholar 

  52. A. J. Kresge and Y. Chiang, J. Amer. Chem. Soc., 95, 803 (1973).

    Article  CAS  Google Scholar 

  53. A. J. Kresge, Chem. Soc., Rev., 2, 475 (1973).

    Article  Google Scholar 

  54. R. P. Bell, Trans. Faraday Soc., 39, 253 (1943).

    Article  CAS  Google Scholar 

  55. R. P. Bell and W. C. E. Higginson, Proc. Roy. Soc., A, 197, 141 (1949).

    Article  CAS  Google Scholar 

  56. A. Hantzsch, Ber. Dtsch. Chem. Gesell, 32, 575 (1899).

    Article  CAS  Google Scholar 

  57. R. P. Bell, J. Phys. Chem., 55, 885 (1951).

    Article  CAS  Google Scholar 

  58. F. G. Bordwell and W. J. Boyle, J. Amer. Chem. Soc., 97, 3447 (1975).

    Article  CAS  Google Scholar 

  59. M. Eigen, Angew. Chem. Internat. Edn., 3, 1 (1964); GE, 75, 489 (1963).

    Article  Google Scholar 

  60. E. A. Walters and F. A. Long, J. Amer. Chem. Soc., 91, 3733 (1969); F. Hibbert, F. A. Long, and E. A. Walters, J. Amer. Chem. Soc., 93, 2829 (1971); F. Hibbert and F. A. Long, J. Amer. Chem. Soc., 94, 2647 (1972).

    Article  CAS  Google Scholar 

  61. Z. Margolin and F. A. Long, J. Amer. Chem. Soc., 94, 5108 (1972); 95, 2757 (1973).

    Article  CAS  Google Scholar 

  62. A. J. Kresge and A. C. Lin, J.C.S. Chem. Comm., 761 (1973).

    Google Scholar 

  63. R. P. Bell and B. G. Cox, J. Chem. Soc. (B), 652 (1971); F. Hibbert, J.C.S. Perkin II, 1289 (1973).

    Google Scholar 

  64. For references see P. R. Rony, J. Amer. Chem. Soc., 90, 2824 (1968); 91, 6090 (1969); also Ref. 20, pp. 155–157.

    Article  CAS  Google Scholar 

  65. G. Lienhard and F. H. Anderson, J. Org. Chem., 32, 2229 (1967).

    Article  CAS  Google Scholar 

  66. J. E. Critchlow, J.C.S. Faraday I, 68, 1774 (1972).

    Article  CAS  Google Scholar 

  67. E. H. Baughman and M. M. Kreevoy, J. Phys. Chem., 78, 421 (1974).

    Article  CAS  Google Scholar 

  68. A. I. Hassid, M. M. Kreevoy, and T.-M. Laing, Faraday Symposia, 10, 69 (1975).

    Article  CAS  Google Scholar 

  69. C. E. Bannister, D. W. Margerum, J. M. T. Raycheba, and L. F. Wong, Faraday Symposia, 10, 78 (1975).

    Article  CAS  Google Scholar 

  70. D. S. Kemp and M. L. Casey, J. Amer. Chem. Soc., 95, 6670 (1973).

    Article  CAS  Google Scholar 

  71. M. Eigen, Z. phys. Chem. (Frankfurt), 1, 176 (1954).

    Article  CAS  Google Scholar 

  72. M.-L. Ahrens and G. Maass, Angew. Chem. Internat. Edn., 7, 818 (1968); GE, 80, 848 (1968).

    Article  CAS  Google Scholar 

  73. R. A. Marcus, J. Chem. Phys., 24, 966 (1956); Discuss. Faraday Soc., 29, 21 (1960); J. Phys. Chem., 67, 853, 2889 (1963); Ann. Rev. Phys. Chem., 15, 155 (1964); J. Chem. Phys., 43, 679 (1965).

    Article  CAS  Google Scholar 

  74. R. A. Marcus, J. Phys. Chem., 72, 891 (1968); J. Amer. Chem. Soc., 91, 7224 (1969); A. O. Cohen and R. A. Marcus, J. Phys. Chem., 72, 4249 (1968).

    Article  CAS  Google Scholar 

  75. G. W. Koeppl and A. J. Kresge, J.C.S. Chem. Comm., 371 (1973).

    Google Scholar 

  76. R. P. Bell, Faraday Symposia, 10, 1 (1975).

    Article  Google Scholar 

  77. M. M. Kreevoy and D. E. Konasewich, Adv. Chem. Phys., 21, 243 (1971); M. M. Kreevoy and S.-W. Oh, J. Amer. Chem. Soc., 95, 4805 (1973).

    Article  Google Scholar 

  78. A. J. Kresge, S. G. Mylonakis, Y. Sato, and V. P. Vitullo, J. Amer. Chem. Soc., 93, 6181 (1971).

    Article  CAS  Google Scholar 

  79. W. J. Albery, A. N. Campbell-Crawford, and J. S. Curran, J.C.S. Perkin II, 2206 (1972).

    Google Scholar 

  80. J. R. Murdoch, J. Amer. Chem. Soc., 94, 4410 (1972).

    Article  CAS  Google Scholar 

  81. J. E. Leffler, Science, 117, 340 (1953).

    Article  CAS  Google Scholar 

  82. G. S. Hammond, J. Amer. Chem. Soc., 77, 334 (1955).

    Article  CAS  Google Scholar 

  83. E. D. German, R. R. Dogonadze, A. M. Kuznetsov, V. G. Levich, and Yu. I. Kharkats, J Res. Inst. Catal. Hokkaido Univ., 19, 115 (1971) (in English); M. V. Vol’kenshtein, R. R. Dogonadze, A. K. Madumarov, and Yu. I. Kharkats, Dokl. Akad. Nauk SSSR, Ser. Fiz. Khim., 199, 124 (1971); EE (Phys. Chem.), 569; R. R. Dogonadze, J. Ulstrup, and Yu. L Kharkats, Dokl. Akad. Nauk SSSR, Ser. Fiz. Khim., 207, 640 (1972); EE (Phys. Chem.), 965; J.C.S. Faraday II, 70, 64 (1974).

    CAS  Google Scholar 

  84. J. J. Weiss, J. Chem. Phys., 41, 1120 (1964).

    Article  CAS  Google Scholar 

  85. For a summary and references, see W. P. Jencks, Chem. Rev., 72, 705 (1972); W. P. Jencks and J. M. Sayer, Faraday Symposia, 10, 41 (1975).

    Article  CAS  Google Scholar 

  86. S. Rosenberg, S. M. Silver, J. M. Sayer, and W. P. Jencks, J. Amer. Chem. Soc., 96, 7986 (1974).

    Article  CAS  Google Scholar 

  87. For a recent review see A. J. Kresge in Proton-Transfer Reactions, E. F. Caldin and V. Gold, eds. (Chapman & Hall, London, 1975).

    Google Scholar 

  88. A. J. Kresge, Discuss. Faraday Soc., 39, 48 (1965).

    Article  Google Scholar 

  89. R. P. Bell and D. M. Goodall, Proc. Roy. Soc., A, 294, 273 (1966).

    Article  CAS  Google Scholar 

  90. J. E. Dixon and T. C. Bruice, J. Amer. Chem. Soc., 92, 905 (1970).

    Article  CAS  Google Scholar 

  91. F. G. Bordwell and W. J. Boyle, J. Amer. Chem. Soc., 93, 512 (1971).

    Article  CAS  Google Scholar 

  92. D. J. Barnes and R. P. Bell, Proc. Roy. Soc., A, 318, 421 (1970).

    Article  CAS  Google Scholar 

  93. S. B. Hanna, C. Jermini, and H. Zollinger, Tetrahedron Lett., 4415 (1969).

    Google Scholar 

  94. D. Cook, R. E. J. Hutchinson, J. K. MacLeod, and A. J. Parker, J. Org. Chem., 39, 534 (1974).

    Article  CAS  Google Scholar 

  95. R. P. Bell and S. Grainger, J.C.S. Perkin II, 1606 (1976).

    Google Scholar 

  96. F. H. Westheimer, Chem. Rev., 61, 265 (1961).

    Article  CAS  Google Scholar 

  97. A. V. Willi, Helv. Chim. Acta, 54, 1220 (1971).

    Article  CAS  Google Scholar 

  98. R. P. Bell, Discuss. Faraday Soc., 39, 16 (1965).

    Article  Google Scholar 

  99. R. A. More O’Ferrall, in Proton-Transfer Reactions, E. G. Caldin and V. Gold, eds. (Chapman & Hall, London, 1975).

    Google Scholar 

  100. W. J. Albery, J. R. Bridgeland, and J. S. Curran, J.C.S. Perkin II, 2203 (1972).

    Google Scholar 

  101. M. H. Davies, J.C.S. Perkin II, 1018 (1974).

    Google Scholar 

  102. R. G. Pearson and R. L. Dillon, J. Amer. Chem. Soc., 75, 2439 (1953).

    Article  CAS  Google Scholar 

  103. D. Turnbull and S. H. Maron, J. Amer. Chem. Soc., 65, 212 (1943).

    Article  CAS  Google Scholar 

  104. G. W. Wheland and J. Farr, J. Amer. Chem. Soc., 65, 1433 (1943).

    Article  CAS  Google Scholar 

  105. S. H. Maron and V. K. La Mer, J. Amer. Chem. Soc., 60, 2588 (1938).

    Article  CAS  Google Scholar 

  106. B. G. Cox and A. Gibson, J.C.S. Chem. Comm., 638 (1974); Faraday Symposia, 10, 107 (1975).

    Google Scholar 

  107. A. J. Kresge, R. A. More O’Ferrall, L. E. Hakka, and V. P. Vitullo, Chem. Comm., 46 (1965).

    Google Scholar 

  108. R. P. Bell and B. G. Cox, J. Chem. Soc. (B), 194 (1970).

    Google Scholar 

  109. R. P. Bell and B. G. Cox, J. Chem. Soc. (B), 783 (1971).

    Google Scholar 

  110. J. R. Jones and S. P. Patel, J. Amer. Chem. Soc., 96, 574 (1974).

    Article  CAS  Google Scholar 

  111. A. J. Kresge, Canad. J. Chem., 52, 1897 (1974).

    Article  CAS  Google Scholar 

  112. A. J. Kresge, J. Amer. Chem. Soc., 92, 3210 (1970).

    Article  CAS  Google Scholar 

  113. For a summary see R. W. Taft in Proton-Transfer Reactions, E. F. Caldin and V. Gold, eds. (Chapman & Hall, London, 1975).

    Google Scholar 

  114. M. C. Rose and J. Stuehr, J. Amer. Chem. Soc., 93, 4350 (1971); 94, 5532 (1972).

    Article  Google Scholar 

  115. Faraday Symposia, 10 (Proton Transfers) (1975).

    Google Scholar 

  116. E. F. Caldin and V. Gold, eds. Proton-Transfer Reactions (Chapman & Hall, London, 1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Plenum Press, New York

About this chapter

Cite this chapter

Bell, R.P. (1978). The Brönsted Equation—Its First Half-Century. In: Chapman, N.B., Shorter, J. (eds) Correlation Analysis in Chemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8831-3_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-8831-3_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-8833-7

  • Online ISBN: 978-1-4615-8831-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics