A Simple Formula for Local Burnup and Isotope Distributions Based on Approximately Constant Relative Reaction Rate

Table 1

Relative radius, atomic concentrations, and relative reaction rates of each nucleus. The atomic concentrations are given in cm⁻³, and all the other quantities are dimensionless.

1/4	6.65  ×	2.17  ×	3.69  ×	1.00	0.0025	2.50	0.23	0.0183
5/8	6.63  ×	2.17  ×	3.91  ×	1.02	0.0024	2.49	0.23	0.0189
13/16	6.61  ×	2.17  ×	4.33  ×	1.05	0.0024	2.49	0.23	0.0203
29/32	6.59  ×	2.17  ×	5.01  ×	1.07	0.0023	2.48	0.23	0.0230
61/64	6.58  ×	2.17  ×	6.26  ×	1.08	0.0023	2.47	0.23	0.0283
125/128	6.58  ×	2.16  ×	8.49  ×	1.09	0.0022	2.47	0.23	0.0368
127/128	6.57  ×	2.16  ×	1.26  ×	1.10	0.0022	2.47	0.23	0.0552