This thesis deals with the computation of rigorous error bounds for conic optimization problems, a special case of convex optimization. The focus of application is electronic structure calculation, especially the ground state energy. To this day it is a difficult problem of quantum chemistry, that can be relaxed to a conic optimization problem. Rigorous lower error bounds for the electronic structure problem are derived, that take all rounding errors into account and are computed for several molecules with negligible memory and time effort.
