We show how, using a combination of a radiative pulse and a pulsed qua
sistatic magnetic field, it is possible to obtain complete population
inversion between two states in a multistate system. The population tr
ansfer occurs between states of opposite parity, and does not require
either careful control of pulse area nor frequency chirp. When the pul
ses are applied in counter-intuitive order the method is dynamically e
quivalent to stimulated Raman adiabatic passage (STIRAP). Complete inv
ersion is also possible for intuitively ordered pulses, with robustnes
s equivalent to that of STIRAP.