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The temperature of the fuel varies as a function of the distance from the center to the rim. At distance x from the center the temperature (T x) is described by the equation where ρ is the power density (W m −3) and K f is the thermal conductivity. T x = T Rim + ρ (r pellet ² – x²) (4 K f) −1
A critical mass is a mass of fissile material that self-sustains a fission chain reaction. In this case, known as criticality, k = 1. A steady rate of spontaneous fission causes a proportionally steady level of neutron activity. A supercritical mass is a mass which, once fission has started, will proceed at an increasing rate. [1]
In 1999, the director of Los Alamos who had presided over its design described it as "the most advanced U.S. nuclear warhead". [4] As of 2021, the latest version is called the W88 ALT 370, [5] the first unit of which came into production on 1 July, 2021, after 11 years of development. [6]
[39] Using modern values he found that to be "equal to about a microsecond, which makes the point about the rapidity of fission with fact [sic] neutrons". [39] In the original memorandum, if the neutrons had velocities of 10 9 cm/s, then they would have an average time between fission collisions of 2.6 × 10 −9 s. Therefore, Bernstein's time ...
The pits of the first nuclear weapons were solid, with an urchin neutron initiator in their center. The Gadget and Fat Man used pits made of 6.2 kg of solid hot pressed plutonium-gallium alloy (at 400 °C and 200 MPa in steel dies – 750 °F and 29,000 psi) half-spheres of 9.2 cm (3.6 in) diameter, with a 2.5 cm (1 in) internal cavity for the initiator.
When a free neutron hits the nucleus of a fissile atom like uranium-235 (235 U), the uranium nucleus splits into two smaller nuclei called fission fragments, plus more neutrons (for 235 U three about as often as two; an average of just under 2.5 per fission). The fission chain reaction in a supercritical mass of fuel can be self-sustaining ...
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Nuclear cross sections are used in determining the nuclear reaction rate, and are governed by the reaction rate equation for a particular set of particles (usually viewed as a "beam and target" thought experiment where one particle or nucleus is the "target", which is typically at rest, and the other is treated as a "beam", which is a projectile with a given energy).