LEO SZILARD National Physics Competition

FINAL 2000 Computer Programme


This program is basically intended to model the nuclear chain reaction in a very simplified way. Different arrangements can be collected from some beforehand defined triangular shaped components, like uranium rods with different enrichment (natural, 5% and 100%), different moderators (light water, heavy water, graphite), control rods and neutron sources. Then it can be checked whether a controlled nuclear chain reaction has developed or how it can be made controlled. The enrichment of the uranium and the moderator can be defined in the Options menu.

How the program works:

The neutrons in the separate cells can be divided into two groups: fast neutrons and thermal neutrons. The quantity of these neutrons is indicated by numbers of different colour. On each time signal the following things can happen (with different probabilities) to the neutrons in the cells:

  • neutron generation (as fast neutron in uranium rods or neutron sources)
  • neutron absorption (except for the empty cells)
  • fission (only in the uranium rods)
  • neutron moderation (only the fast neutrons)
  • neutron passing to an adjacent cell

The "multiplication factor" is calculated by the computer in the following way: the program divides the number of neutrons in the cells, which are not empty, by the number of previous generation neutrons in the same cells. (Since the number of neutrons varies statistically, therefore the calculated multiplication factor also varies.)

Task:

  1. Create an arrangement which exactly critical by using natural uranium and as low number of components as possible. How many uranium rods did you have to use?
  2. Check how many uranium rods with at least 5% enrichment is required for a critical system when using water, heavy water or graphite as a moderator.
  3. Why it is reasonable to switch off the temperature feedback when you look for critical mass?

Some advices:

  • To start a self-supporting nuclear chain reaction a neutron source is always required. Therefore when making the arrangements include a neutron source and keep it in operation over a few generations, then replace it with an other component.
  • The program makes it possible to modify an arrangement "in operation" (Push the Pause button, then modify the arrangement and then you can continue the simulation).
  • Some parts of the diagrams can be highlighted and zoomed by pushing the Shift button and clicking on them by the mouse. By pushing the Shift button and clicking by mouse on the diagram the original size can be reset.
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