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The unified method for total electron-ion recombination is extended to studythe dielectronic satellite (DES) lines. These lines, formed from radiativedecay of autoionizing states, are highly sensitive temperature diagnostics ofastrophysical and laboratory plasma sources. The computation of the unifiedrecombination rates is based on the relativistic Breit-Pauli R-matrix methodand close coupling approximation. Extending the theoretical formulationdeveloped earlier we present recombination rate coefficients for the 22satellite lines of KLL complexes of helium-like Fe XXV and Ni XXVII. Theisolated resonance approximation, commonly used throughout plasma modeling,treats these resonances essentially as bound features except for dielectroniccapture into, and autoionization out of, these levels. A line profile or crosssection shape is often assumed. On the other hand, by including the couplingbetween the autoionizing and continuum channels, the unified method gives theintrinsic spectrum of DES lines which includes not only the energies andstrengths, but also the natural line or cross section shapes. A formulation ispresented to derive autoionization rates from unified resonance strengths andenable correspondence with the isolated resonance approximation. While therates compare very well with existing rates for the strong lines to <20%, thedifferences for weaker DES lines are larger. We also illustrate the applicationof the present results to the analysis of K ALPHA complexes observed inhigh-temperature X-ray emission spectra of Fe XXV and Ni XXVII. There areconsiderable differences with previous results in the total KLL intensity forFe XXV at temperatures below the temperature of maximum abundance in coronalequilibrium. (Abbreviated Abstract)

Recombination Rate Coefficients for KLL Di-electronic Satellite Lines of Fe XXV and Ni XXVII