  This study shows the unexpected and counter-intuitive possibility of
simultaneously orienting a molecule while delocalizing its molecular axis in a
plane in field-free conditions. The corresponding quantum states are
characterized and different control strategies using shaped THz laser pulses
are proposed to reach such states at zero and nonzero temperatures. The
robustness against temperature effects of a simple control procedure combining
a laser and a THz pulse is shown. Such control strategies can be applied not
only to linear molecules but also to symmetric top molecules.
