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The "gravitational memory effect" due to an exact plane wave provides us withan elementary description of the diffeomorphisms associated with softgravitons. It is explained how the presence of the latter may be detected byobserving the motion of freely falling particles or other forms ofgravitational wave detection. Numerical calculations confirm the relevance ofthe first, second and third time integrals of the Riemann tensor pointed outearlier. Solutions for various profiles are constructed. It is also shown howto extend our treatment to Einstein-Maxwell plane waves and a midi-superspacequantization is given.

Soft Gravitons & the Memory Effect for Plane Gravitational Waves