Manipulation of GHz range magnetization dynamics for magnetic films and nano structure is one of the interesting issues in recent spintronics. Magnetization dynamics is, basically, written by the Landau-Lifshitz-Gilbert equation:

where, α is the so-called Gilbert damping constant, which characterizes magnitude of “friction” or “damping” torque acting on magnetization motion, and also influence significantly to performance of some spintronics devices using spin-transfer-torque effect. History of study on the Gilbert damping is quite long, started from the middle of last century, however its understanding is not yet enough.
I plan to give the overview of research on Gilbert damping, e.g., basic data for Fe-Co-Ni alloys, proposed mechanisms, and recent theoretical understanding. And then, I will talk about our studies on Gilbert damping for various kind of magnetic films with in-plane and out-of-plane magnetic anisotropies, such as Heusler alloy or L10 ordered alloys.