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Relativistic many-body perturbation theory is applied to study properties ofions of the francium isoelectronic sequence. Specifically, energies of the 7s,7p, 6d, and 5f states of Fr-like ions with nuclear charges Z = 87 - 100 arecalculated through third order; reduced matrix elements, oscillator strengths,transition rates, and lifetimes are determined for 7s - 7p, 7p - 6d, and 6d -5f electric-dipole transitions; and 7s - 6d, 7s - 5f, and 5f_5/2 - 5f_7/2multipole matrix elements are evaluated to obtain the lifetimes of low-lyingexcited states. Moreover, for the ions Z = 87 - 92 calculations are alsocarried out using the relativistic all-order single-double method, in whichsingle and double excitations of Dirac-Fock wave functions are included to allorders in perturbation theory. With the aid of the SD wave functions, we obtainaccurate values of energies, transition rates, oscillator strengths, and thelifetimes of these six ions. Ground state scalar polarizabilities in Fr I, RaII, Ac III, and Th IV are calculated using relativistic third-order andall-order methods. Ground state scalar polarizabilities for other Fr-like ionsare calculated using a relativistic second-order method. These calculationsprovide a theoretical benchmark for comparison with experiment and theory.

Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence