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An Outline of Computational Chemistry 5

DFT methods – based on approximate solutions of the Schrödinger equation, bypassing the wavefunction that is a central feature of ab initio and semiempirical methods;

Molecular dynamics methods study molecules in motion.

Ab initio and the faster DFT enable novel molecules of theoretical interest to be studied, provided they are not too big. Semiempirical methods, which are much faster than ab initio or even DFT, can be applied to fairly large molecules (e.g. cholesterol, while MM will calculate geometries and energies of very large molecules such as proteins and nucleic acids; however, MM does not give information on electronic properties. Computational chemistry is widely used in the pharmaceutical industry to explore the interactions of potential drugs with biomolecules, for example by docking a candidate drug into the active site of an enzyme. It is also used to investigate the properties of solids (e.g. plastics) in materials science.

REFERENCES

[1]The physical chemist Wilhelm Ostwald (Nobel Prize 1909) was a disciple of the philosopher Ernst Mach. Like Mach, Ostwald attacked the notion of the reality of atoms and molecules (“Nobel Laureates in Chemistry, 1901–1992,” L. K. James, Ed., American Chemical Society

and the Chemical Heritage Foundation, Washington, DC, 1993) and it was only the work of Jean Perrin, published in 1913, that finally convinced him, perhaps the last eminent holdout against the atomic theory, that these entities really existed (Perrin showed that the number of tiny particles suspended in water dropped off with height exactly as predicted in 1905 by Einstein, who had derived an equation assuming the existence of atoms). Ostwald’s philosophical outlook stands in contrast to that of another outstanding physical chemist, Johannes van der Waals, who staunchly defended the atomic/molecular theory and was outraged by the Machian positivism of people like Ostwald. See “Van der Waals and Molecular Science,” A. Ya. Kipnis, B. F. Yavelov and J. S. Powlinson, Oxford University Press, New York, 1996.

For the opposition to and acceptance of atoms in physics see: D. Lindley, “Boltzmann’s Atom. The Great Debate that Launched a Revolution in Physics,” Free Press, New York, 2001; C. Cercignani, “Ludwig Boltzmann: The Man who Trusted Atoms,” Oxford University Press, New York, 1998.

Of course, to anyone who knew anything about organic chemistry, the existence of atoms was in little doubt by 1910, since that science had by that time achieved significant success in the field of synthesis, and a rational synthesis is predicated on assembling atoms in a definite way.

[2]For accounts of the history of the development of structural formulas see M. J. Nye, “From Chemical Philosophy to Theoretical Chemistry,” University of California Press, 1993;

C.A. Russell, “Edward Frankland: Chemistry, Controversy and Conspiracy in Victorian England,” Cambridge University Press, Cambridge, 1996.

[3](a) An assertion of the some adherents of the “postmodernist” school of social studies; see

P.Gross and N. Levitt, “The Academic Left and its Quarrels with Science,” John Hopkins

University Press, 1994. (b) For an account of the exposure of the intellectual vacuity of some members of this school by physicist Alan Sokal’s hoax see M. Gardner, “Skeptical Inquirer,” 1996, 20(6), 14.

6Computational Chemistry

[4](a) A trendy word popularized by the late Thomas Kuhn in his book “ The Structure of Scientific Revolutions,” University of Chicago Press, 1970. For a trenchant comment on Kuhn, see Ref. [3b]. (b) For a kinder perspective on Kuhn, see S. Weinberg, “Facing Up,” Harvard University Press, 2001, chapter 17.

EASIER QUESTIONS

1.What does the term computational chemistry mean?

2.What kinds of questions can computational chemistry answer?

3.Name the main tools available to the computational chemist. Outline (a few sentences for each) the characteristics of each.

4.Generally speaking, which is the fastest computational chemistry method (tool), and which is the slowest?

5.Why is computational chemistry useful in industry?

6.Basically, what does the Schrödinger equation describe, from the chemist’s viewpoint?

7.What is the limit to the kind of molecule for which we can get an exact solution to the Schrtidinger equation?

8.What is parameterization?

9.What advantages does computational chemistry have over “wet chemistry”?

10.Why cannot computational chemistry replace “wet chemistry”?

HARDER QUESTIONS

Discuss the following and justify your conclusions.

1.Was there computational chemistry before electronic computers were available?

2.Can “conventional” physical chemistry, such as the study of kinetics, thermodynamics, spectroscopy and electrochemistry, be regarded as a kind of computational chemistry?

3.The properties of a molecule that are most frequently calculated are geometry, energy (compared to that of other isomers), and spectra. Why is it more of a challenge to calculate “simple” properties like melting point and density?

Hint: Is there a difference between a molecule X and the substance X?

4.Is it surprising that the geometry and energy (compared to that of other isomers) of a molecule can often be accurately calculated by a ball-and-springs model (MM)?

5.What kinds of properties might you expect MM to be unable to calculate?

6.Should calculations from first principles (ab initio) necessarily be preferred to those which make some use of experimental data (semiempirical)?

7.Both experiments and calculations can give wrong answers. Why then should experiment have the last word?

8.Consider the docking of a potential drug molecule X into the active site of an enzyme: a factor influencing how well X will “hold” is clearly the shape of X; can you think of another factor?

Hint: Molecules consist of nuclei and electrons.

An Outline of Computational Chemistry 7

9.In recent years the technique of combinatorial chemistry has been used to quickly synthesize a variety of related compounds which are then tested for pharmacological activity (S. Borman, Chemical & Engineering News: 2001, 27 August, p. 49; 2000, 15 May, p. 53; 1999, 8 March, p. 33). What are the advantages and disadvantages of this method of finding drug candidates, compared with the “rational design” method of studying, with the aid of computational chemistry, how a molecule interacts with an enzyme?

10.Think up some unusual molecule which might be investigated computationally. What is it that makes your molecule unusual?

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