A Fast Numerical Method for the Calculation of the Equilibrium Isotopic Composition of a Transmutation System in an Advanced Fuel Cycle

Table 1

Equilibrium isotopic composition of the ADS fuel, before the irradiation, for cycles 𝑛 and (𝑛+1). Units are tonnes of initial heavy metal in the ADS.

Isotope*	ADS fresh fuel equilibrium composition for the 𝑛th cycle estimated with the matrix equation method (t)	ADS fresh fuel composition for the (𝑛+1)th cycle estimated with EVOLCODE 2.0 (t)	Ratio (EVOLCODE 2-Method)/ EVOLCODE 2(%)
U234	3.677𝐸−02	3.794𝐸−02	3.08%
U235	9.303𝐸−03	9.330𝐸−03	0.29%
U236	1.296𝐸−02	1.302𝐸−02	0.48%
U238	7.171𝐸−05	7.245𝐸−05	1.03%
Np237	1.554𝐸−01	1.553𝐸−01	−0.09%
Pu238	2.791𝐸−01	2.792𝐸−01	0.04%
Pu239	4.084𝐸−01	4.067𝐸−01	−0.42%
Pu240	1.204𝐸+00	1.208𝐸+00	0.36%
Pu241	2.476𝐸−01	2.417𝐸−01	−2.44%
Pu242	5.432𝐸−01	5.441𝐸−01	0.16%
Am241	2.338𝐸−01	2.386𝐸−01	2.00%
Am242m	1.313𝐸−02	1.348𝐸−02	2.59%
Am243	2.166𝐸−01	2.166𝐸−01	0.01%
Cm242	2.183𝐸−04	2.165𝐸−04	−0.83%
Cm243	1.958𝐸−03	1.853𝐸−03	−5.68%
Cm244	1.835𝐸−01	1.801𝐸−01	−1.92%
Cm245	5.300𝐸−02	5.266𝐸−02	−0.64%
Cm246	3.430𝐸−02	3.428𝐸−02	−0.04%
Cm247	9.439𝐸−03	9.370𝐸−03	−0.74%
Total	3.643𝐸+00	3.643𝐸+00

*The short-lived isotopes U-237, U-239, Np-238, Np-239, Pu-243, Am-242, and Am-244 were also used in the calculations.