Sigma electron donor-acceptor explained

The sEDA parameter (sigma electron donor-acceptor) is a sigma-electron substituent effect scale, described also as inductive and electronegativity related effect. There is also a complementary scale - pEDA. The more positive is the value of sEDA the more sigma-electron donating is a substituent. The more negative sEDA, the more sigma-electron withdrawing is the substituent (see the table below).

The sEDA parameter for a given substituent is calculated by means of quantum chemistry methods. The model molecule is the monosubstituted benzene. First the geometry should be optimized at a suitable model of theory, then the natural population analysis within the framework of Natural Bond Orbital theory is performed. The molecule have to be oriented in such a way that the aromatic benzene ring lays in the xy plane and is perpendicular to the z-axis. Then, the 2s, 2px and 2py orbital occupations of ring carbon atoms are summed up to give the total sigma system occupation. From this value the sum of sigma-occupation for unsubstituted benzene is subtracted resulting in original sEDA parameter. For sigma-electron donating substituents like -Li, -BH2, -SiH3, the sEDA parameter is positive, and for sigma-electron withdrawing substituents like -F, -OH, -NH2, -NO2, -COOH the sEDA is negative.

The sEDA scale was invented by Wojciech P. Oziminski and Jan Cz. Dobrowolski and the details are available in the original paper.[1]

The sEDA scale linearly correlates with experimental substituent constants like Taft-Topsom σR parameter.[2]

For easy calculation of sEDA the free of charge for academic purposes written in Tcl program with Graphical User Interface AromaTcl is available.

Sums of sigma-electron occupations and sEDA parameter for substituents of various character are gathered in the following table:

Rσ-totalsEDA
-Li|19.826|0.460|-|-BeH19.7620.396
-BF2|19.559|0.193|-|-SiH319.5500.184
-BH2|19.539|0.173|-|-CH2+|19.406|0.040|-|-H19.3660.000
-CFO19.278-0.088
-CHO19.264-0.102
-COOH|19.256|-0.110
-COCN|19.247|-0.119
-CF3|19.237|-0.130
-CONH2|19.226|-0.140
-CN|19.207|-0.159
-Br|19.169|-0.197
-CH3|19.137|-0.229
-NO|19.102|-0.264
-Cl|19.102|-0.264
-NO2|19.046|-0.320
-N2+19.034-0.332
-CH2|18.964|-0.402
-NH3+|18.950|-0.416
-NH2|18.915|-0.451
-NH|18.825|-0.541
-OH|18.805|-0.561
-F18.745-0.621
-O18.735-0.631

References

  1. Ozimiński. Wojciech P.. Dobrowolski. Jan C.. 2009-08-01. σ- and π-electron contributions to the substituent effect: natural population analysis. Journal of Physical Organic Chemistry. en. 22. 8. 769–778. 10.1002/poc.1530. 1099-1395.
  2. Boyd. Russell J.. Edgecombe. Kenneth E.. 1988-06-01. Atomic and group electronegativities from the electron-density distributions of molecules. Journal of the American Chemical Society. 110. 13. 4182–4186. 10.1021/ja00221a014. 0002-7863.