Energy levels and the radiative and Auger transition rates of the 1s2p 4 2,4 L (L = S, P , D) resonances in the boron isoelectronic sequence are calculated using the saddle-point variation and saddle-point complex-rotation methods. Large-scale wave functions are used to saturate the functional space. Relativistic and mass polarization corrections are included by the first-order perturbation theory. The Auger branching ratios of the important decay channels for these core-excited states are calculated. The reliable transition wavelengths and Auger electron energies are used to identify available x-ray spectra and Auger electron spectra. Identifications of several unknown experimental lines from 1s2p 4 resonances are reported. The total radiative rates and total Auger rates of these 1s2p 4 resonances are also reported and discussed along with the increase of atomic number Z. It is found that the total Auger rates are several orders of magnitude greater than the total radiative rates in these low-Z ions.

Energy levels, Auger branching ratios, and radiative rates of the core-excited states of B-like carbon are calculated by the saddle-point variation and saddle-point complex-rotation methods. Relativistic and mass polarization corrections are included using first-order perturbation theory. Calculated Auger channel energies and branching ratios are used to identify high-resolution Auger spectrum in the 300-keV C(+) → CH(4) collision experiment. It is found that Auger decay of these five-electron core-excited states gives significant contributions to Auger spectrum in the range of 238-280 eV.

Energies for the multiexcited states 1s 2 2s2pnl and 1s 2 2p 2 nl 4 P e,o (n ! 2) of B-like oxygen are calculated using Rayleigh-Ritz variation method with configuration interaction. The mass polarization and relativistic corrections are obtained with firstorder perturbation theory. Configuration structures of the high-lying multiexcited series are identified by energies and contribution to normalization of angular-spin components. These structures are further checked by calculations of relativistic corrections and fine structure splittings. Hyperfine parameters and hyperfine coupling constants are calculated for the first time. Wavelengths including quantum electrodynamic effect and higher-order relativistic corrections and lifetimes are also calculated. These results are compared with available results in the literature.

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Seven triply excited states of lithium-like beryllium and carbon are calculated with the multichannel saddle-point and saddle-point complex-rotation methods. Relativistic effects are included using first-order perturbation theory. The widths are studied with one open channel at a time as well as fully coupled open channels. The predicted Auger branching ratio is compared with the observed spectra. The radiative transition rates are also calculated. These results are compared with the theoretical data in the literature.