# Determination of configuration of geometrical isomerism

Geometrical isomerism: The molecular formulas of fumaric acid (m.p. 287 °C) and maleic acid (m.p. 130 °C) are identical, but the configuration of functional groups surrounding the double bond varies. They differ in terms of their physical and, to some degree, chemical characteristics. This type of isomerism is known as geometrical isomerism.

The methods of determination of configuration are classified as: (I) Chemical methods and (II) Physical methods

## Chemical Methods

These methods include:

(a) Absolute method: This method is based on the following observations. (i) Functional groups in a cyclic compound located cis to each other can be converted into cyclic lactones, anhydrides, or amides. e.g., maleic acid containing two –COOH groups cis to each other forms anhydride easily. Hence, it can be identified as cis-(maleic acid). Similarly, in fumaric acid, the two –COOH groups are on the opposite side, it can not form anhydride easily. Hence, it can be identified as a trans-form. (ii) Cis-isomers can be synthesized from small rings, but trans isomers can not be synthesized from small rings.

(b) Through chemical reaction not affecting the configuration of the double bond: The synthesis of trisubstituted alkene of known configuration is possible by syn addition of organo-copper reagent to alkyne followed by alkylation.

(c) If we synthesize a product from a starting material of a known configuration, then the configuration of the product remains the same as that of the starting material.

(d) The stereoselective reaction helps to predict the configuration of the resulting product. One such stereoselective reaction is the Wittig reaction.

## Physical Methods

The geometrical isomers differ from each other in their physical properties which include:

(a) Boiling point, melting point, density, refractive index and dipole moment
(b) Acid strength
(c) UV-visible spectra
(d) Vibrational (IR-Raman) spectra
(e) NMR (1H, 13C both)
(f) X-ray, microwave spectra, and electron diffraction methods.

### (A) Boiling point, melting point, density, refractive index, and dipole moment

It is difficult to anticipate the isomer configuration using factors like boiling temperature, melting point, density, and refractive index. Dipole moment varies between the cis and trans isomers, sometimes being higher for the latter. The trans isomer has more symmetry than the cis, similarly. Trans typically has a greater melting point as a result. e.g.,

### (b)Acid Strength

The acid strength is strongly dependent on the configuration of the compound e.g. pKa of cis and trans isomers of crotonic acid.

The initial dissociation of the cis form (maleic acid) is more acidic than the trans form (fumaric acid), but the second proton’s acidity is reversed. The maleic acid conjugate anion’s intramolecular H-bonding is to blame for this. Once the proton has first been dissociated, it is more stable than fumaric. As in fumaric, the second dissociation of cis-two negative anion species near to one another is not advantageous (the negative species further away). As a result, in the second dissociation, the transform is more acidic than cis.

### (c) UV-visible Spectra

Two large groups are on the same side of the cis isomer. Because of this intense internal packing, the molecule is less stable and has less resonance energy than the trans isomer. The cis isomer has an absorption maximum at a somewhat shorter wavelength than the trans isomer because it is distorted and forced to be non-coplanar.

(d) Infrared and Raman Spectra: The difference in the IR spectra of the two isomers may be pointed out in the following regions.

1650 cm-1 (C = C), and 970 – 690 cm-1 (= C – H out of plane vibration).

Similar for trans 1,2-dichloroethylene, the dipole moment is zero, due to its symmetrical nature.

Cis-isomer shows no IR absorption but shows Raman absorption at 1577 cm–1. While trans-isomer shows strong IR absorption at 1590 cm–1 but shows no Raman absorption.

### (e) NMR Spectra

NMR spectra can also reveal information on the location and arrangement of atoms (the molecule’s environment), in addition to revealing which functional groups are present. NMR spectra can distinguish between chemically dissimilar protons. In disubstituted ethylene, RHC = CHR’, where R and R’ have very different effects on the olefinic protons’ magnetic surroundings. As a result, these protons encounter a resonance state at different field intensities. The hydrogen atoms are considered to be deshielded because the olefinic protons are often observed in the low field of the NMR spectrum.

The trans isomer is strongly coupled and hence has a coupling constant of 17-18 c.p.s. (cycles per second). While the coupling constant of the cis-isomer ranges from 8-11 c.p.s. Similarly, the difference in chemical shifts of cis-and trans-isomers may be used to identify the configuration of the isomer.

### (f) X-ray and Electron Diffraction

The most effective method for precise structural characterisation of crystalline substances is single-crystal X-ray diffraction. It displays the spatial atomic arrangement and creates a picture of the crystal’s interior structure. The primary source of data on the geometrical structure of molecules, including bond lengths, bond angles, flexible molecule conformations, and intermolecular interactions, is single crystal X-ray diffraction.

Also read: Asymmetric synthesis