In
solid state physics, a particle's
effective mass (often denoted ) is the
mass that it seems to have when responding to forces, or the mass that it seems to have when
en masse with other identical particles in a
thermal distribution. One of the results from the
band theory of solids is that the movement of particles in a periodic potential, over long distances larger than the lattice spacing, can be very different from their motion in a vacuum. The effective mass is a quantity that is used to simplify band structures by constructing an analogy to the behavior of a free particle with that mass. For some purposes and some materials, the effective mass can be considered to be a simple constant of a material. In general, however, the value of effective mass depends on the purpose for which it is used, and can vary depending on a number of factors.