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Interrogating selectivity in catalysis using molecular vibrations

Abstract

The delineation of molecular properties that underlie reactivity and selectivity is at the core of physical organic chemistry1,2,3,4,5, and this knowledge can be used to inform the design of improved synthetic methods or identify new chemical transformations6,7,8,9. For this reason, the mathematical representation of properties affecting reactivity and selectivity trends, that is, molecular parameters, is paramount. Correlations produced by equating these molecular parameters with experimental outcomes are often defined as free-energy relationships and can be used to evaluate the origin of selectivity and to generate new, experimentally testable hypotheses6,10,11,12. The premise behind successful correlations of this type is that a systematically perturbed molecular property affects a transition-state interaction between the catalyst, substrate and any reaction components involved in the determination of selectivity10,11. Classic physical organic molecular descriptors, such as Hammett4, Taft3 or Charton5 parameters, seek to independently probe isolated electronic or steric effects3,4,5,6,13,14. However, these parameters cannot address simultaneous, non-additive variations to more than one molecular property, which limits their utility. Here we report a parameter system based on the vibrational response of a molecule to infrared radiation that can be used to mathematically model and predict selectivity trends for reactions with interlinked steric and electronic effects at positions of interest. The disclosed parameter system is mechanistically derived and should find broad use in the study of chemical and biological systems.

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Figure 1: Approaches to interrogating reaction mechanisms.
Figure 2: Using infrared vibrations and Sterimol values to correlate enantioselectivity.
Figure 3: Using infrared vibrations to correlate enantioselectivity.
Figure 4: Using infrared vibrations to correlate site selectivity.
Figure 5: Developing a comprehensive model.

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References

  1. Williams, A. Free Energy Relationships in Organic and Bio-Organic Chemistry (Royal Society of Chemistry, 2003)

    Google Scholar 

  2. Verloop, A. &. Tipker, J. Physical basis of Sterimol and related steric constants. Pharmacochem. Libr. 10, 97–102 (1987)

    CAS  Google Scholar 

  3. Taft, R. W. Linear steric energy relationships. J. Am. Chem. Soc. 75, 4538–4539 (1953)

    Article  CAS  Google Scholar 

  4. Hammett, L. P. The effect of structure upon the reactions of organic compounds. Benzene derivatives. J. Am. Chem. Soc. 59, 96–103 (1937)

    Article  CAS  Google Scholar 

  5. Charton, M. Steric effects. I. Esterification and acid-catalyzed hydrolysis of esters. J. Am. Chem. Soc. 97, 1552–1556 (1975)

    Article  CAS  Google Scholar 

  6. Hansch, C., Leo, A. & Taft, R. W. A survey of Hammett substituent constants and resonance and field parameters. Chem. Rev. 91, 165–195 (1991)

    Article  CAS  Google Scholar 

  7. Anslyn, E. V. & Dougherty, D. A. Modern Physical Organic Chemistry (University Science Books, 2006)

    Google Scholar 

  8. Jacobsen, E. N., Zhang, W. & Guler, M. L. Electronic tuning of asymmetric catalysts. J. Am. Chem. Soc. 113, 6703–6704 (1991)

    Article  CAS  Google Scholar 

  9. Harper, K. C. & Sigman, M. S. Three-dimensional correlation of steric and electronic free energy relationships guides asymmetric propargylation. Science 333, 1875–1878 (2011)

    Article  CAS  ADS  PubMed  Google Scholar 

  10. Curtin, D. Y. Stereochemical control of organic reactions differences in behaviour of diastereoisomers. Rec. Chem. Prog. 15, 110–128 (1954)

    Google Scholar 

  11. Jaffe, H. H. A reexamination of the Hammett equation. Chem. Rev. 53, 191–261 (1953)

    Article  CAS  Google Scholar 

  12. Hammett, L. P. Some relations between reaction rates and equilibrium constants. Chem. Rev. 17, 125–136 (1935)

    Article  CAS  Google Scholar 

  13. Charton, M. The application of the Hammett equation to ortho-substituted benzene reaction series. Can. J. Chem. 38, 2493–2499 (1960)

    Article  CAS  Google Scholar 

  14. Harper, K. C., Bess, E. N. & Sigman, M. S. Multidimensional steric parameters in the analysis of asymmetric catalytic reactions. Nature Chem. 4, 366–374 (2012)

    Article  CAS  ADS  Google Scholar 

  15. Peng, C. S., Baiz, C. R. & Tokmakoff, A. Direct observation of ground-state lactam-lactim tautomerization using temperature-jump transient 2D IR spectroscopy. Proc. Natl Acad. Sci. USA 110, 9243–9248 (2013)

    Article  CAS  ADS  PubMed  PubMed Central  Google Scholar 

  16. Coates, J. in Encyclopedia of Analytical Chemistry (ed. Meyers, R. A. ) 10815–10837 (Wiley, 2000)

    Google Scholar 

  17. Meyer, M. P. New applications of isotope effects in the determination of organic reaction mechanisms. Adv. Phys. Org. Chem. 46, 57–120 (2012)

    CAS  Google Scholar 

  18. Harper, K. C., Vilardi, S. C. & Sigman, M. S. Prediction of catalyst and substrate performance in the enantioselective propargylation of aliphatic ketones by a multidimensional model of steric effects. J. Am. Chem. Soc. 135, 2482–2485 (2013)

    Article  CAS  PubMed  Google Scholar 

  19. Gustafson, J. L., Sigman, M. S. & Miller, S. J. Linear free-energy relationship analysis of a catalytic desymmetrization reaction of a diarylmethane-bis(phenol). Org. Lett. 12, 2794–2797 (2010)

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  20. Valero, R., Gomes, J. R. B., Truhlar, D. G. & Illas, F. Good performance of the M06 family of hybrid meta generalized gradient approximation density functionals on a difficult case: CO adsorption on MgO(001). J. Chem. Phys. 129, 124710 (2008)

    Article  ADS  CAS  PubMed  Google Scholar 

  21. Zhao, Y. & Truhlar, D. G. The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals. Theor. Chem. Acc. 120, 215–241 (2008)

    Article  CAS  Google Scholar 

  22. Schäfer, A., Huber, C. & Ahlrichs, R. Fully optimized contracted Gaussian basis sets of triple zeta valence quality for atoms Li to Kr. J. Chem. Phys. 100, 5829 (1994)

    Article  ADS  Google Scholar 

  23. Schäfer, A., Horn, H. & Ahlrichs, R. Fully optimized contracted Gaussian basis sets for atoms Li to Kr. J. Chem. Phys. 97, 2571 (1992)

    Article  ADS  Google Scholar 

  24. Gaussian. 09 rev. C.01 (Gaussian Inc., Wallingford, 2009)

  25. Bess, E. N. & Sigman, M. S. Distinctive meta-directing group effect for iridium-catalyzed 1,1-diarylalkene enantioselective hydrogenation. Org. Lett. 15, 646–649 (2013)

    Article  CAS  PubMed  Google Scholar 

  26. Dunitz, J. D. & Ibberson, R. M. Is deuterium always smaller than protium? Angew. Chem. Int. Ed. 47, 4208–4210 (2008)

    Article  CAS  Google Scholar 

  27. Mei, T.-S., Werner, E. W., Burckle, A. J. & Sigman, M. S. Enantioselective redox-relay oxidative heck arylations of acyclic alkenyl alcohols using boronic acids. J. Am. Chem. Soc. 135, 6830–6833 (2013)

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  28. Werner, E. W., Mei, T. S., Burckle, A. J. & Sigman, M. S. Enantioselective Heck arylations of acyclic alkenyl alcohols using a redox-relay strategy. Science 338, 1455–1458 (2012)

    Article  CAS  ADS  PubMed  PubMed Central  Google Scholar 

  29. Livingstone, D. Data Analysis for Chemists (Oxford Univ. Press, 1995)

    Google Scholar 

  30. Draper, N. R. & Smith, H. Applied Regression Analysis (Wiley, 1998)

    Book  MATH  Google Scholar 

  31. Baldi, P. & Brunak, S. Bioinformatics: the Machine Learning Approach 2nd edn, 5–7 (MIT Press, 2001)

    MATH  Google Scholar 

  32. Goodman, S. A dirty dozen: twelve P-value misconceptions. Semin. Hematol. 45, 135–140 (2008)

    Article  PubMed  Google Scholar 

  33. MATLAB. student version v.7.14.0.739 (R2012a) (MathWorks Inc., 2012)

  34. Jensen, K. H. & Sigman, M. S. Evaluation of catalyst acidity and substrate electronic effects in a hydrogen bond-catalyzed enantioselective reaction. J. Org. Chem. 75, 7194–7201 (2010)

    Article  CAS  PubMed  Google Scholar 

  35. Sigman, M. S. & Miller, J. J. Examination of the role of Taft-type steric parameters in asymmetric catalysis. J. Org. Chem. 74, 7633–7643 (2009)

    Article  CAS  PubMed  Google Scholar 

  36. Miller, J. J. & Sigman, M. S. Quantitatively correlating the effect of ligand-substituent size in asymmetric catalysis using linear free energy relationships. Angew. Chem. Int. Ed. 47, 771–774 (2008)

    Article  CAS  Google Scholar 

  37. Harper, K. C. & Sigman, M. S. Using physical organic parameters to correlate asymmetric catalyst performance. J. Org. Chem. 78, 2813–2818 (2013)

    Article  CAS  PubMed  Google Scholar 

  38. Bess, E. N. & Sigman, M. S. in Asymmetric Synthesis II: More Methods and Applications (eds Christmann, M. & Bräse, S. ) 363–370 (Wiley-VCH, 2012)

    Google Scholar 

  39. Taft, R. W. Polar and steric substituent constants for aliphatic and o-benzoate groups from rates of esterification and hydrolysis of esters. J. Am. Chem. Soc. 74, 3120–3128 (1952)

    Article  CAS  Google Scholar 

  40. Charton, M. Steric effects. II. Base-catalyzed ester hydrolysis. J. Am. Chem. Soc. 97, 3691–3693 (1975)

    Article  CAS  Google Scholar 

  41. Charton, M. Steric effects. III. Bimolecular nucleophilic substitution. J. Am. Chem. Soc. 97, 3694–3697 (1975)

    Article  CAS  Google Scholar 

  42. Charton, M. Steric effects. 7. Additional V constants. J. Org. Chem. 41, 2217–2220 (1976)

    Article  CAS  Google Scholar 

  43. Charton, M. Steric effects. 8. Racemization of chiral biphenyls. J. Org. Chem. 42, 2528–2529 (1977)

    Article  CAS  Google Scholar 

  44. Verloop, A. in Drug Design Vol. III (ed. Ariens, E. J. ) 133 (Academic, 1976)

    Google Scholar 

  45. Verloop, A. & Tipker, J. A comparative study of new steric parameters in drug design. Pharmacochem. Libr. 2, 63–81 (1977)

    CAS  Google Scholar 

  46. Verloop, A. in Pesticide Chemistry, Human Welfare and Environment Vol. 1 (eds Miyamoto, J. & Kearney, P. C. ) 339–344 (Pergamon, 1983)

    Book  Google Scholar 

  47. Shahlaei, M. Descriptor selection methods in quantitative structure–activity relationship studies: a review study. Chem. Rev. 113, 8093–8103 (2013)

    Article  CAS  PubMed  Google Scholar 

  48. Dearden, J. C. & Cronin, M. T. D. in Smith and Williams’ Introduction to the Principles of Drug Design and Action (ed. Smith, H. J. & Williams, H. ). 185–209 (2006)

  49. Pino, A., Giuliani, A. & Benigni, R. Toxicity mode-of-action: discrimination via infrared spectra and eigenvalues of the modified adjacency matrix. QSAR Comb. Sci. 22, 191–195 (2003)

    Article  CAS  Google Scholar 

  50. Benigni, R., Giuliani, A. & Passerini, L. Infrared spectra as chemical descriptors for QSAR models. J. Chem. Inf. Model. 41, 727–730 (2001)

    CAS  Google Scholar 

  51. Benigni, R., Passerini, L., Livingstone, D. J., Johnson, M. A. & Giuliani, A. Infrared spectra information and their correlation with QSAR descriptors. J. Chem. Inf. Model. 39, 558–562 (1999)

    CAS  Google Scholar 

Download references

Acknowledgements

This work was supported by the US National Science Foundation (CHE-0749506). We thank S. J. Miller and S. Yoganathan for discussions and for providing the peptide catalyst used in these studies. The support and resources of the Center for High Performance Computing at the University of Utah are gratefully acknowledged.

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A.M. and M.S.S. had the idea for the work; A.M. and E.N.B. performed the experiments; A.M. carried out computational and modelling analyses; A.M., E.N.B. and M.S.S. wrote the manuscript.

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Correspondence to Matthew S. Sigman.

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Milo, A., Bess, E. & Sigman, M. Interrogating selectivity in catalysis using molecular vibrations. Nature 507, 210–214 (2014). https://doi.org/10.1038/nature13019

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