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1. The reflection by a crystal of X-radiation characteristic of the atoms in the crystal itself, which Dr. G. L. Clark and the writer discovered (these PROCEEDINGS, May, 1922 and April, 1923), does not appear to be explainable in a simple manner by the theoryof interference of waves. This note describes an attempt to formulate a theory of the reflection of X-rays by crystals, based on quantum ideas without reference to interference laws. 2. The fundamental hypothesis of the theory now presented is that the momentum of radiation is transferred to and from matter in quanta, and further, that the laws of the conservation of energy and of momentum apply to these transfers. 3. In order to illustrate the meaning of this hypothesis, let us take a particular example, namely, that of the reflection of an X-ray by a crystal. For the sake of simplicity, let us assume that the axes of the crystal lie

The Transfer in Quanta of Radiation Momentum to Matter