An improper rotation axis is a line about which a rotation by followed by reflection in the plane perpendicular to it is a symmetry operation. and .
Examples
Example 4.6 (Elements of four molecules)
: , a axis bisecting the H–O–H angle, and two vertical planes, the molecular plane and the plane perpendicular to it. : , a through N (operations and ), and three , each containing one N–H bond. : a , three along the B–F bonds, (the molecular plane), three , and an . : four along the C–H bonds, three bisecting H–C–H angles, which are also axes, and six , each containing two C–H bonds (figure below).