A central problem of modern physics research is the solution to QCD in the
non-perturbative regime. One method of testing QCD in this low-energy region
is by measuring certain structure constants of hadrons - called
polarizabilities - that show particular promise of allowing a direct
connection to the underlying quark/gluon dynamics through comparison to modern
QCD-inspired model calculations, and to solutions of QCD done computationally
on the lattice. This talk will give an overview of recent and upcoming
measurements to obtain the polarizabilities of both the proton and neutron.