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The calorific value and gas-volume constants of a series of precipitated nitrocelluloses of varying nitrogen content have also been directly determined. It has been shown that the calorific value varies linearly with the nitrogen content of the nitrocellulose.The authors are indebted to Dr. H. Thomas for his assistance in preparing the data for this report. REFERENCES(1) Berthelot, M.: Sur la force des matikres explosives. Gauthiers-Villars, Paris (1883),

The over-all behavior of reacting particles in solution is determined both by specific molecular properties and by probability of encounter. This paper presents an examination of the effect of the details of diffusion and locally inhomogeneous distributions on the over-all behavior of a system of reacting particles both for steady-state conditions and for the decay (or relaxation) phenomena subsequent to creation of an initial condition. The problem is formulated for the quenching of excited molecules in solution in terms of diffusion equations for excited and quencher molecules with appropriate initial and boundary conditions. The diffusion equations are solved for a completely determined, but otherwise arbitrary, initial distribution of quencher molecules around an excited molecule and two sets of boundary conditions: the so-called Smoluchowski and ``radiation'' boundary conditions. The resultant equations give, in their turn, expressions for decay of excited molecules for initial random distributions following instantaneous excitation and, by the use of superposition integrals, for initial distributions following any form of excitation. Explicit expressions for the rise and fall of excited molecule concentrations result. The techniques are extendable in principle to a variety of essentially different processes.

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