Random covalent network (RCN) theory is applied to describe the infrar
ed spectroscopic properties of carbonaceous solids with compositions c
ontaining a mixture of aromatic, aliphatic, and diamond-like hydrocarb
ons. Application of this technique to carbonaceous dust is equivalent
to the synthesis of solids whose structure and bonding satisfy stoiche
ometry while minimizing strain energy. The result involves a range of
compositions compatible with carbon bonding and the hydrogen concentra
tion incorporated in the network. In general, only a limited range of
compositions is available rather than the infinite number of possible
compositions expected without the inclusion of these constraints. When
compositions have been defined in this way, infrared spectra may be s
ynthesized for comparison with astronomical spectra of interstellar ca
rbonaceous solids. Such spectra contain components corresponding to ab
sorption by CHn groups in which n = 1-3. We find, however, that additi
onal spectral features, not included in our simple chemical model, mus
t be present also in dust. We give plots of such spectra in the 3100-2
800 cm(-1) (3.2-3.6 mu m) region for comparison with infrared spectra
of interstellar dust. We have also developed an RCN formalism that inc
orporates oxygen into the carbon network as OH groups, and we show tha
t this inclusion introduces a strong additional absorption band in the
3300 cm(-1) (3.0 mu m) region.