The schematic treatment of nuclear reactions is applied to the case E n -»0 as a means of interpreting measurements of the scattering length a. It is found that the quantity A = (a-R) rather than a is significant for determining the resonance properties of the compound nucleus, where R is the phenomenological nuclear radius. In some cases this treatment can resolve ambiguity in the evaluation of a without the necessity of polarization measurements and assign the / value of a low-lying resonance or two, but it can only be used successfully for separated isotopes. For practically pure isotopes it can be used to determine rough values of level spacing D from the measured position of the levels nearest E n -Q, or conversely. Values of D obtained in this way are plotted against A to yield an estimate of a parameter in the statistical formula for level density; this estimate suggests a somewhat more rapid increase in level spacing with decreasing excitation than given by the simplest statistical formula.