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THE SILANOL NUMBER (OH/NM −1 )  135

              Hydrogen bonding is the most important type of bonding for adsorption of
            water as well as other compounds. For water to adsorb on the first layer of silanol,
            it has been shown that water sits “oxygen down” on the SiOH group (Klier and
            Zettlemoyer, 1977). As more water molecules adsorb, hydrogen-bonded clusters
            form. The heats of adsorption are (Iler, 1979; Zhuravlev, 1993) the following:

            First Adsorbed Layer:

                                                       H =−6.0kcal/mol
                       Si − OH + H 2 O ⇒ Si − OH:OH 2
            Higher Layers:

                 Si − OH:OH 2 + xH 2 O ⇒ Si − OH:OH 2 (OH 2 ) H =−10.5kcal/mol

            The value of 10.5 kcal/mol is very close to the latent heat of condensation of
            water (10.8 kcal/mol).
              Many techniques have been used to identify and quantify the different silanol
            groups. The most extensively used is infrared spectroscopy (IR). IR spectroscopy
            of the adsorbed water and hydroxyls (as well as other compounds) has been
            discussed extensively by Hair (1967) and by Kiselev and Lygin (1975). The
            most useful absorption band is the OH stretching frequency. In addition to the
            surface OH groups, there also exist internal OH groups in the silica structure.
            The characteristic OH stretching vibrational frequencies for the different groups
            are (Iler, 1979; Hair, 1967; Kiselev and Lygin, 1975) as follows:


                               Type of OH             Approximate IR
                                                      Frequency, cm −1

                       Isolated OH                         3750
                       Paired or H-Bonded on Surface       3540
                       Internal OH, H-Bonded               3650
                       Liquid Water                        3400


            The stretching frequency band for the isolated OH groups is a very sharp one.
            All other bands are broad. This sharp band appears only after dehydration, for
                             ◦
            example, >200–400 C in vacuo.


                                               −1
            6.3. THE SILANOL NUMBER (OH/NM )
            The density of the OH groups on the surface is referred to as the silanol number,
            α OH , expressed in OH groups per square nanometer. The silanol number can be
            determined by deuterium exchange (Kiselev and Lygin, 1975; Zhuravlev, 1993) or
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