Presentation and Discussion of the UAM/Exercise I-1b: “Pin-Cell Burn-Up Benchmark” with the Hybrid Method

Table 8

Uncertainty in reaction rates. Cross-section uncertainties are taken from SCALE6.1/44-GROUP.

			0 GWd/MTU	10 GWd/MTU	30 GWd/MTU	60 GWd/MTU
^235U-cap		Mean value	9.10𝐸−02	7.27𝐸−02	4.76𝐸−02	2.12𝐸−02
	Relative uncertainty (%)	var(RR𝜎)	1.8	1.8	1.8	1.8
		var(RR𝑁)_ΔXS	0.0	0.2	0.4	0.8
^235U-fis		Mean value	3.85𝐸−01	2.97𝐸−01	1.92𝐸−01	8.70𝐸−02
	Relative uncertainty (%)	var(RR𝜎)	1.1	1.1	1.1	1.1
		var(RR𝑁)_ΔXS	0.0	0.2	0.5	0.8
^238U-cap		Mean value	1.83𝐸−01	2.01𝐸−01	2.29𝐸−01	2.76𝐸−01
	Relative uncertainty (%)	var(RR𝜎)	1.4	1.3	1.3	1.3
		var(RR𝑁)_ΔXS	0.0	0.2	0.3	0.4
^238U-fis		Mean value	2.15𝐸−02	2.43𝐸−02	2.78𝐸−02	3.27𝐸−02
	Relative uncertainty (%)	var(RR𝜎)	4.0	3.7	3.6	3.6
		var(RR𝑁)_ΔXS	0.0	0.2	0.3	0.4
^239Pu-cap		Mean value	—	3.93𝐸−02	7.41𝐸−02	1.00𝐸−01
	Relative uncertainty (%)	var(RR𝜎)	—	1.6	1.5	1.5
		var(RR𝑁)_ΔXS	—	0.9	0.7	0.7
^239Pu-fiss		Mean value	—	6.91𝐸−02	1.33𝐸−01	1.81𝐸−01
	Relative uncertainty (%)	var(RR𝜎)	—	1.3	1.3	1.3
		var(RR𝑁)_ΔXS	—	0.9	0.7	0.7
^240Pu-cap		Mean value	—	1.68𝐸−02	5.00𝐸−02	8.66𝐸−02
	Relative uncertainty (%)	var(RR𝜎)	—	1.3	1.3	1.4
		var(RR𝑁)_ΔXS	—	2.4	1.3	1.3
^240Pu-fiss		Mean value	—	6.10𝐸−05	2.95𝐸−04	6.67𝐸−04
	Relative uncertainty (%)	var(RR𝜎)	—	2.4	2.2	2.1
		var(RR𝑁)_ΔXS	—	3.1	2.2	2.1
^241Pu-cap		Mean value	—	1.13𝐸−03	8.50𝐸−03	2.05𝐸−02
	Relative uncertainty (%)	var(RR𝜎)	—	1.5	1.4	1.4
		var(RR𝑁)_ΔXS	—	2.0	1.7	1.5
^241Pu-fiss		Mean value	—	3.11𝐸−03	2.37𝐸−02	5.73𝐸−02
	Relative uncertainty (%)	var(RR𝜎)	—	1.3	1.3	1.3
		var(RR𝑁)_ΔXS	—	2.9	1.7	1.5