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Analysis based on the isotope dilution of a radioactive compound

J. Klas

Slovak Technical University, Bratislava


Abstract: The exactness of the method of double direct isotope diln. (Zimakov and Rozhavskii, CA 53, 3978h) and of double reverse isotope diln. (CA 42, 4086g) was studied on the basis of an equation expressing the relative deviation of the analysis. An equation expressing the relative deviation of the analysis, which is valid for both methods, is given: δx/x = |i2(i1 - 1)/(i1 - i2)|(δy1/y1) + |i1(i2 - 1)/(i1 - i2)|(δy2/y2) + |i1i2/(i1 - i2)|[(δs1/s1) + (δs2/s2)], where i = (the amt. of the inactive matter/the original amt. of the radioactive matter) + 1 = s0/s. In the method of double reverse isotope diln., to 2 amts. of the detd. radioactive matter x, 2 unequal known amts. of y1 and y2 are added. After the homogenization of the mixt., the sp. activity is s1 and s2. For practical use the equation can be simplified if there is for each sample the same no. of the disintegrations (N = const.): δx/x|% = |(i1i2)/(i1 - i2)|(200/N01/2), for N = N0 = const. If the time (t) and the amts. of the matter (m0) isolated to measure the activity of the samples are const., the equation is: δx/x|% = |(i1.i2)/(i11/2 - i21/2)|(100/(m0s0t0)1/2), for t = t0 = const. The min. relative deviation is at: i1.i2-1 = 4. With i2 = const., it can be applied as a condition for the optimum analysis performance.

Full paper in Portable Document Format: 207a530.pdf (in Slovak)


Chemical Papers 20 (7) 530–537 (1966)

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