236
6 Appendices
2.7 P(t crit ) ~ 4.73 × 10
15 Pa ~ 47 billion atmospheres
2.8 R o = 6.74 cm; M o =22.2 kg. For C = 3, α = 0.841, Δr = 1.95 cm, efficiency
= 25.4%, yield = 280 kt (at 16.5 kt/kg), t fiss = 0.57 μs, t crit = 0.55 μs. The
numerical simulation program predicts a yield of ~5.46 kt. This is about 1/50
of the analytically-predicted yield, similar to the situation discussed at the end
of Sect. 2.6
2.9 16.22 cm; 272 kg
2.10 r compress = 3.90 mm; ρ compress = 21.42 ρ o
2.11 Yield ~ 6.9 kt. Initial core radius is 7.71 cm; core radius at second criticality
~9.24 cm. For this 200 kg tamper, the threshold-critical core mass is ~11.1 kg.
2.12 R thresh = 6.57 cm, M thresh = 22.3 kg
2.15 To a good approximation, M ∼ σ
−2.05
f
3.1. v f inal /v initial =
√
143/13 ∼ 0.92
3.2. Strike rate ~ 2.904 × 10
27 m
−2 s
−1
3.3 4.12 × 10
−6 m
2
3.4 About 7 min
3.5 223 gr/day
3.6 33.395 grams
4.1 7.806 × 10
9 kg
−1 s
−1
4.2 V final/ V initial ~ 0.036
4.3 2.70 μs
4.4 74%; t init = 8.355 μs
4.6 7.0 × 10
15 s
−1
5.1 1.04 × 10
6 Ci m
−2
F.1 (a) 3/4, (b) 0.894, (c) 0.487
6.9 Appendix I: Glossary of Symbols
The great number of physical constants and parameters used in this book make it
inevitable that different quantities in different chapters/sections become designated
by the same symbol. The most important definitions are listed here, with defining
equation numbers (in brackets) and prominent-use section numbers as appropriate.
Symbols used in very localized contexts are not listed, nor are common usages such
as (x, y, z) to designate Cartesian coordinates. English letters are listed first, followed
by Greeks.
English letters
A
mass number; nucleon number; constant of integration in electromagnetic separation of isotopes analysis (Sect. 3.4); sometimes used as
surface area
A H
mass number of heavy-element fissile material in impurity calculation
(Sect. 4.4)
A L
mass number of light-element contaminant in impurity calculation
(Sect. 4.4)
6 Appendices
2.7 P(t crit ) ~ 4.73 × 10
15 Pa ~ 47 billion atmospheres
2.8 R o = 6.74 cm; M o =22.2 kg. For C = 3, α = 0.841, Δr = 1.95 cm, efficiency
= 25.4%, yield = 280 kt (at 16.5 kt/kg), t fiss = 0.57 μs, t crit = 0.55 μs. The
numerical simulation program predicts a yield of ~5.46 kt. This is about 1/50
of the analytically-predicted yield, similar to the situation discussed at the end
of Sect. 2.6
2.9 16.22 cm; 272 kg
2.10 r compress = 3.90 mm; ρ compress = 21.42 ρ o
2.11 Yield ~ 6.9 kt. Initial core radius is 7.71 cm; core radius at second criticality
~9.24 cm. For this 200 kg tamper, the threshold-critical core mass is ~11.1 kg.
2.12 R thresh = 6.57 cm, M thresh = 22.3 kg
2.15 To a good approximation, M ∼ σ
−2.05
f
3.1. v f inal /v initial =
√
143/13 ∼ 0.92
3.2. Strike rate ~ 2.904 × 10
27 m
−2 s
−1
3.3 4.12 × 10
−6 m
2
3.4 About 7 min
3.5 223 gr/day
3.6 33.395 grams
4.1 7.806 × 10
9 kg
−1 s
−1
4.2 V final/ V initial ~ 0.036
4.3 2.70 μs
4.4 74%; t init = 8.355 μs
4.6 7.0 × 10
15 s
−1
5.1 1.04 × 10
6 Ci m
−2
F.1 (a) 3/4, (b) 0.894, (c) 0.487
6.9 Appendix I: Glossary of Symbols
The great number of physical constants and parameters used in this book make it
inevitable that different quantities in different chapters/sections become designated
by the same symbol. The most important definitions are listed here, with defining
equation numbers (in brackets) and prominent-use section numbers as appropriate.
Symbols used in very localized contexts are not listed, nor are common usages such
as (x, y, z) to designate Cartesian coordinates. English letters are listed first, followed
by Greeks.
English letters
A
mass number; nucleon number; constant of integration in electromagnetic separation of isotopes analysis (Sect. 3.4); sometimes used as
surface area
A H
mass number of heavy-element fissile material in impurity calculation
(Sect. 4.4)
A L
mass number of light-element contaminant in impurity calculation
(Sect. 4.4)