Abstract. Nuclear matrix elements for double positron emisson ~+/?+), positron emission/electron capture (/?+/ EC) and double electron capture (EC/EC) in the 2v/?/? decay mode and for fl+/~+ and/~+/EC decay in the 0 v/?/~ mode are calculated for the experimentally most promising isotopes 58Ni, 78Kr, 96Ru, l~ 124Xe, 13~ and 136Ce within pn-QRPA. We point out that the matrix element for the 2vfl+/EC decay differs from the 2vfl+fl + matrix element, an effect not considered previously. For the neutrino accompanied decays our calculation predicts for the fl+/EC and the EC/EC mode half lives which are shorter typically by 4-7 orders of magnitude than those for the double positron emission. However, even for the best candidates typical values for 2vfi+/EC (2vEC/EC) are still in the range of ~ 1022 ((some) 1021) years. For 0 v/~/~ decay we have calculated all matrix elements relevant for both, the mass mechanism and the right-handed currents for the first time complete. A detailed discussion of the differences between the 0v/~+/q +, the Ovfl+/EC and Ovfi-fl decay is given.