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How many U235 Centrafuges we need to produce nuclear weapon? and for how long they will work in cascade to produce a bomb? Is there any formula or equations for that?

Best regards

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- Thread starter saifadin
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In summary, to produce a nuclear weapon, you will need to use one or more U235 Centrafuges. These Centrafuges will work in cascade to produce a bomb. However, it will take a long time to produce one.

- #1

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How many U235 Centrafuges we need to produce nuclear weapon? and for how long they will work in cascade to produce a bomb? Is there any formula or equations for that?

Best regards

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- #2

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I don't think you will find many people who are willing to explain to you how to build your very own working nuclear device.

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:uhh:Vanadium 50 said:I don't think you will find many people who are willing to explain to you how to build your very own working nuclear device.

We can discuss the principles of nuclear weapons, but I have no clue what a centrafuge is.

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saifadin said:Dear All

How many U235 Centrafuges we need to produce nuclear weapon? and for how long they will work in cascade to produce a bomb? Is there any formula or equations for that?

The formula for "units of separation work" given an inflow with concentration x_f, a desired product concentration x_p and a waste concentration x_w is given by:

USW = P V(x_p) + W V(x_w) - F V(x_f)

with V(x) = (1-2x) log((1-x)/x)

and P, W and F the respective quantities of product, waste and feed (input). Of course, F = W + P, and we also have that W = (x_p - x_f) / (x_f - x_w) P

See http://en.wikipedia.org/wiki/Isotope_separation

So, you have your natural uranium concentration, x_f = 0.007 (0.7% is U-235). You have your desired product concentration x_p (say, 80%). Now you have to pick your waste concentration yourself. The lower it is, the less natural uranium you'll need, but the more separation work you will have to do. Say you put x_w = 0.0025.

Say you need 200 kg of 80% U-235. That means that you will have 35200 kg of waste, and hence you need 35 400 kg of natural uranium.

If you pick your waste concentration to be 0.0005, you will only need 24 600 kg of uranium.

However, for the first case, you will need 37 000 "units of separation work", while in the second case, you will need 65240 "units of separation work".

A given centrifuge or diffusion apparatus will correspond to a certain amount of "units of separation work" it can do per week, month or year, and the above quantities will then indicate how many of them you need to do the work in one week, month or year, or, on the other hand, how many weeks, months or years you will need to do the work with one centrifuge.

To give you an idea, the French Pierlatte factory has a total potential of about 11 million "units of separation work" per year.

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according to:

http://www.globalsecurity.org/wmd/intro/u-centrifuge.htm

The exact number of centrifuges needed to make a nuclear weapon depends on various factors such as the type of weapon, the level of enrichment required, and the efficiency of the centrifuges. However, on average, it is estimated that around 1,500-2,000 centrifuges are needed to produce enough weapons-grade uranium for a single nuclear weapon.

The enrichment process in U235 centrifuges works by separating the heavier U238 isotope from the lighter U235 isotope through a series of spinning tubes. The centrifugal force causes the heavier isotope to move towards the outside of the tube while the lighter isotope stays closer to the center. This process is repeated multiple times to gradually increase the concentration of U235 in the uranium.

The time it takes to produce enough weapons-grade uranium using U235 centrifuges varies depending on the number of centrifuges being used and their efficiency. It can take anywhere from a few months to a few years to produce enough weapons-grade uranium for a single nuclear weapon.

Several countries have the capability to produce U235 centrifuges for nuclear weapons, including the United States, Russia, China, France, and the United Kingdom. Other countries such as North Korea, Iran, and Pakistan have also developed their own centrifuge programs.

U235 centrifuge facilities are closely monitored by the International Atomic Energy Agency (IAEA) to ensure that they are only being used for peaceful purposes and not for the production of nuclear weapons. These facilities are subject to regular inspections and must adhere to strict international regulations to prevent the proliferation of nuclear weapons.

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