52 MILLER AND SARTOR in the crater and crater lip would not be includedin the pattern summations. The intensity—area integral is defined mathematically by Jp= J I,da R = f KA; da (4) (5) R where da is the incremental area, dx dy, and R is the region within the lowest I, contour included in the integral. If K, is designated as the weighted average value of the K,’s and C asthe ratio of intensity area for the region R to the integral for the region enclosed by the contour of I, equal to zero, then J,p can be represented by Jp = CK,BW (6) where W is the total weapon yield and is the fraction of the total yield due to fission. If the Ky value for the unfractionated mixture of radionuclides produced in the detonation is designated as Kp (rs, = 1, r,;= 1), then the fraction of the device deposited in the region, R, is given by Jp /BW Fi = “Ki (7) p, = OKs (8) or Kp If K, is written in the form of Eq. 3, then Eq. 8 becomes F pk, + Ky] In Eq. 9 the two bracketed terms refer to the intensities over an ideal smooth plane on the assumption that the product Dq for K, is equal to Dq for Kj. The values of CK, and F, for a fallout pattern can be estimated from the intensity—area integral and the values of Ky, k;, D, and q or q. The value of C can be estimated if K, is evaluated separately, and Ky can be evaluated if the variation of Ky with particle size and the fraction of the total radioactivity carried by particles of different sizes are known. With these two types of data, Ky is calculated from