Ab initio molecular orbital calculations have been carried our for silicate, aluminosilicate, and aluminate clusters in order to study the NMR characteristics of oxygen sites that are possibly present in the structure of aluminosilicate glasses and melts. Of particular interest are the different types of bridging oxygens (oxygens bonded to two tetrahedrally coordinated Si and/or Al) and tricluster oxygens (oxygens linked to three tetrahedrally coordinated Si and/or Al). The calculated values for the O-17 quadrupolar coupling constants (QCC) of Si-O-Si, Si-O-Al, and Al-O-Al bridging oxygens agree reasonably well with experimental NMR data for similar oxygen sites in crystalline silicates, aluminosilicates, or aluminates, and do not show significant dependence on the basis set and theory (Hartree-Fock vs density functional theory) of calculations. The calculated values for the O-17 isotropic chemical shift (delta(i)(O)), on the other hand, show large dependence on the basis set and method of calculations, although the relative differences in delta(i)(O) for the clusters of interest do not vary as much. Our calculations indicate that bridging oxygens give progressively larger O-17 QCC and larger, but overlapping, delta(i)(O) from Al-O-Al to Si-O-Al to Si-O-Si. Coordination of Si-O-Al or Al-O-Al bridging oxygens to Ca2+, a network-modifying cation, tends to decrease their O-17 QCC and increase their delta(i)(O), consistent with experimental NMR data. Tricluster oxygens give progressively larger O-17 QCC and larger delta(i)(O) values from O(Al-3), to O(SiAl2), to O(Si2Al), to O(Si-3). The O(Al-3) and O(SiAl2) tricluster oxygens have O-17 NMR characteristics overlapping with those of Si-O-Al bridging oxygens, and the O(Si2Al) tricluster oxygen overlapping with those of Si-O-Si bridging oxygens. Our calculations suggest that it may be difficult to distinguish O(Al-3), O(SiAl2), or O(Si2Al) tricluster oxygens from bridging oxygens in aluminosilicate glasses on the basis of O-17 NMR data alone, although it should be possible to distinguish O(Als) tricluster oxygen from Al-O-Al bridging oxygen in aluminates using O-17 NMR. The O(Si3) tricluster have larger O-17 QCC and larger delta(i)(O) values than all types of bridging oxygens and thus may be unambiguously identified on the basis of O-17 NMR data, if present in the structure of aluminosilicates or silicates.