First-principles local-density formalism cluster theory is used to determine the structure of Au-and Ag-hydrogen complexes in Si. The theory, with an empirical correction, is then applied to extract their donor and acceptor levels and these are compared with capacitance transient spectroscopic measurements. Assignments of these levels to specific H defects are then made. Models for the defects responsible for the neutralization of the electrical activity of the Au and Ag centers are proposed.[S0031-9007 (99)08596-8] PACS numbers: 71.15.Mb, 61.72.Bb, 71.55.CnThe interaction of hydrogen with transition metals (TM) has recently become of great interest [1][2][3][4]. The presence of hydrogen has three effects on the electronic levels of the TM impurity. It can shift these levels, introduce additional ones, or it can remove them completely from the band gap achieving passivation [1]. However, in no case are these effects completely understood. One problem is that first-principles techniques which can determine the structure of the complex cannot predict the donor (0͞1) and acceptor (2͞0) levels with the required precision. To overcome this some empirical correction is necessary usually to the band gap used in the calculation [5,6]. We find that by employing an empirical correction in a different way, these levels can be calculated to within about 0.2 eV and as such the theory can be used to predict the electrical activity of Au-and Ag-hydrogen defects [7].The donor level with respect to E y is the difference between the ionization energy of the defect and that of bulk Si. If the wave function of the defect is localized within the cluster and does not overlap the surface, then, in principle, the ionization energy of the defect can be calculated by the cluster method. However, as the valence band wave functions are always extended throughout the cluster and affected by the surface, the bulk ionization energy cannot be calculated by the method. To circumvent this problem, we compare the ionization energy of the defect, I d , with that of a standard defect, I s . The position of the donor level, E͑0͞1͒ d , is then given by E͑0͞1͒ d E͑0͞1͒ s 1 I d 2 I s , where the donor level of the standard defect, E͑0͞1͒ s , is taken from experiment. In the same way the electron affinities can be used to determine the acceptor levels. In practice we take the standard defect to be the carbon interstitial, C i , which is known to assume the same structure in all charge states [8]. This has (0͞1) and (2͞0) levels at E y 1 0.28 eV and E c 2 0.1 eV, respectively [9]. The ionization energies and electron affinities are calculated by applying Slater's transition state argument [10,11]. Using the relaxed geometry appropriate to the transition state takes into account, to first order, the difference in structures between the neutral and ionized clusters. This method is remarkably accurate. For example, by comparing the total energies of relaxed neutral and ionized molecules, the ionization energy of the water molecule is found to be 13.37 eV. Th...