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198 Topics in Current Chemistry Editorial Board: A. de Meijere KN ...

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18 J.P. Glusker<br />

Fig. 9. Citric acid monohydrate [34]. This stereoview shows hydrogen bond<strong>in</strong>g that is cooperative,<br />

extend<strong>in</strong>g through the crystal <strong>in</strong> such a way that oxygen atoms both give and receive<br />

hydrogen bonds<br />

Fig. 10. Repulsions and attractions <strong>in</strong> the H 2O◊◊◊HF complex<br />

Spectroscopic studies [1] have shown that the H 2O◊◊◊HF <strong>in</strong>teraction is such<br />

that the HF molecule po<strong>in</strong>ts its hydrogen atom directly towards the oxygen<br />

atom, and that the axis of the HF molecule lies <strong>in</strong> the direction expected for a<br />

tetrahedral arrangement of nonbond<strong>in</strong>g lone pairs of electrons on the oxygen<br />

atom. This implies that the HF molecule is recogniz<strong>in</strong>g an area of high electron<br />

<strong>de</strong>nsity and orient<strong>in</strong>g itself <strong>in</strong> or<strong>de</strong>r to m<strong>in</strong>imize the electrostatic energy of the<br />

system. However, as shown <strong>in</strong> Fig. 10, it is necessary to consi<strong>de</strong>r not only the<br />

electron <strong>de</strong>nsity on the lone pair of electrons on H 2O, but also the charges on any<br />

other atoms <strong>in</strong> the immediate neighborhood. For example, a po<strong>in</strong>t positive<br />

charge near a water molecule gives a potential energy curve with two m<strong>in</strong>ima,<br />

symmetrically placed at about ± 30°. The repulsive portion of the potential energy<br />

equation has lowered the height of the barrier and moved the m<strong>in</strong>ima to<br />

smaller angles.<br />

The directions from which hydrogen bonds [9] approach sp 2 - and sp 3 -hybridized<br />

oxygen atoms <strong>in</strong> ethers, ketones, esters, and epoxi<strong>de</strong>s have been studied.

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