Atomic Densities
Mo-14Re
𝜌mix=12.0 g/cm3
𝑤𝑀𝑜 = 0.86, 𝑤𝑅𝑒 = 0.14 (weight fractions)
𝑁𝑖 = 𝜌mix
𝑤𝑖 𝑁av
𝐴𝑖
Mo
Re
N (X 1024 cm-3)
0.064777
0.0054332
0.070210
𝐴𝑖 (amu)
95.94
186.207
Uranium Nitride
Atomic fractions 𝑎𝑈 = 0.50, 𝑎𝑁 = 0.50
U enrichment=0.70, 𝜌mix=13.6 g/cm3
Nitrogen
U-235
U-238
Total
N (X 1024 cm-3)
0.032768
0.023025
0.009743
0.065536
𝑛
1
𝑤𝑖
0.70
0.30
=∑ =
+
, 𝐴̅ = 235.9350
̅
𝐴𝑖 235.04 238.05
𝐴
𝑖=1
𝑀
𝐴mix = ∑ 𝑎𝑓𝑖 𝐴𝑖 = 0.50 ∗ 14 + 0.5 ∗ 235.9350 = 124.9675
𝑖=1
𝑁𝑚𝑖𝑥 =
𝜌𝑚𝑖𝑥 𝑁𝑎𝑣
= 6.5536 1022
𝐴𝑚𝑖𝑥
𝑁5 𝑤5 𝐴8
=
= 2.3632
𝑁8 𝐴5 𝑤8