Nuclear Yield/Weight Ratios

Fissionable Fuels

Name

Oralloy (Oak Ridge Alloy)
(93.5% Enriched U-235)

Plutonium 239

Cost

$53/gram (1996)
$53,000/kg (1996)

$4.65/milligram (1998; 99%+)
$4.65 million/kg (1998; 99.9%+)

Energy Release from 100% Efficient Reaction

17 kt/kg

20 kt/kg

Minimum Critical Mass

14.1 to 13.5 kg
(10 cm Beryllium Reflector)

4.4 kg
(10 cm Natural Uranium Reflector)

Density

18.8 g/cm3

19.7 g/cm3

Description

Silvery-Gray Metal.

Silvery-White Metal.

Produces 2.4 W/kg of heat from radioactive decay, so special precautions must be taken in design of devices to avoid self-generated heat from ruining them.

Minimal yields of fission devices, with the minimum critical masses given above:

Efficiency
of
Reaction

93.5% U-235

Plutonium 239

0.5%

1.15 kt

0.44 kt

1%

2.3 kt

0.88 kt

2.5%

5.7 kt

2.2 kt

5%

11.5 kt

4.4 kt

10%

23 kt

8.8 kt

20%

46 kt

17.6 kt

30%

69 kt

26.4 kt

40%

92 kt

35.2 kt

50%

115 kt

44 kt

60%

138 kt

52.8 kt

70%

161 kt

61.6 kt

80%

184 kt

70.4 kt

95%

218 kt

83.6 kt

As you can see from the above table, the only way to produce a low-yield nuclear weapon that is usable as a short-range battlefield nuclear device is to use a plutonium core; and heavily tamp the device with materials that inhibit full fission, resulting in the yield you want.

As might be expected, this results in a relatively bulky (for the yield) weapon, and one that requires lavish use of fissile material (several critical masses), in order to get a reliable initiation. The danger of operating at such minimal critical masses and at such inefficiencies deliberately, is that your device will “fizzle” and produce a yield of only a few tons as the chain reaction is choked off by the inhibitor tampers.

So called “Dial-a-Yield” nuclear devices might even work by extending or withdrawing fission tampers within the device to control it's yield = e.g. full insertion results in it's minimum yield, while inserting it partially would result in an intermediate yield, and zero insertion would result in the full yield.

Fusionable Fuels

Name

Liquid Deuterium

Lithium-6
Deuteride

Lithium-7
Deuteride

Cost

$500 kg

$1.30/gram (1997; 95-96%)

$6.70/gram (1997; 99%)

Energy Release from 100% Efficient Reaction

82.2 kt/kg

64 kt/kg

40.3 kt/kg

Density

0.169 g/cm3

0.534 g/cm3

0.534 g/cm3

Description

Cryogenic Fuel.

Whitish, slightly blue powdery light salt.

Is pressed into a ceramic and then machined into shapes as necessary for devices.

Early Nuclear Weapon Yield/Weight Ratios

Mark One (Little Boy) – A plug consisting of 25.2 kilograms (42% of the critical mass) was fired into a series of concentric rings containing the remaining 58% (34.8 kilograms) of the critical mass. About 700 grams completely fissioned out of a total of 60 kilograms of Uranium-235, for a efficiency of 1.2% and a yield/weight ratio of 0.23 kt/kg.

Model 1561 (Fat Man) – A sub-critical mass of 6.2 kilograms of Plutonium was “squeezed” by a complex series of explosive detonations into a critical mass. Of 6.2 kilograms of Plutonium, about 1.3 kilograms fissioned completely, for an efficiency of 21% and a yield/weight ratio of 2.8 kt/kg.

Bibliography:

US Nuclear Weapons: The Secret History by Chuck Hansen
Cary Sublette's Nuclear Weapons Archive