By Robert V. & Holmes, David K. Meghreblian

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30). 1. The various known decay schemes for these nuclei are given in the third column. The symbol a denotes radioactive decay of the unstable isotope by the emission of an a particle; {r, emission of a negative electron; 'Y, emission of electromagnetic radiation; K, orbital SEC. 20 electron capture; jt+, positive electron emission; and e-, internal conversion of a gamma ray. 1 The preceding analysis of the radioactive-decay process is entirely general and applies to all the decay schemes mentioned above.

The essential feature of the analytical model we select for calculating the collision probabilities is the "as good as new" hypothesis which is defined in the following way: If a neutron moving through a medium is known to have traveled a distance x along its path without suffering a collision, then it is as good as new. Thus, if a neutron is as yet uncollided at position x, the probability that it will travel an additional distance y along its path before it encounters a nucleus is now measured from the position x.

Again, one must resort to numerical or graphical methods for analyzing these systems. Timedependent problems which include the coupling between the reactorpower output and the neutron population will, in general, involve a nonseparable relationship between the time and the space variables. However, in many instances, the important features of the problem can be determined by using simple physical models which do separate out the space and the time variables. Such solutions will not yield an accurate description of the neutron physics, but they can give valuable insight into the basic characteristics of the system in question.

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