# Neutron generation from T(d,n)

1. May 23, 2010

### Xaritou

Hi guys. I have a small question and i would appreciate your help.

I want to find how many neutrons per second (in 4π) are produced from a neutron generator. The generator works with T(d,n) reaction.. We have 0.5 mA d at 100keV energy that hits a target of titanium-tritium that has 2*10^20 nucleus of Tritium. The cross section of this reaction is around 5 barn..and the surface of the target is 5cm^2..

Can anyone help me by giving me the formula that i must use to solve the problem?

2. May 23, 2010

### Astronuc

Staff Emeritus
Does one know the expression for the interaction or reaction rate for a monoenergetic beam of particles striking a target of atomic density N?

One is given a microscopic cross-section, σ, of the reaction, and one should be able to determine d flux from the current and beam/target area.

3. May 24, 2010

### Xaritou

I am looking for the equation if anyone knows it. I found sth Like R= (I σ N) /s, where R= Reaction rate, N=the total number of Tritium nucleus, σ= the cross section for the reaction, I = the current of the d beam, and s= the surface of the target...

Can anyone confirm that this is correct, because i am getting strange results...

4. May 24, 2010

### Astronuc

Staff Emeritus
That's correct.

Perhaps one can show what one is doing with the equation.

BTW - this appears to be homework.

5. May 24, 2010

### Xaritou

No.. Its not homework. Its about a project. I have to calculate theoretically the amount of neutrons the source produce per second, so we can be able to shield it correctly when it arrives. I am just getting 10^4 less neutrons than the generators specifications, and i want to know what i am doing wrong... I get 6.3*10^7 neutrons, when i suppost to get about 10^11.
Generally this kind of generators produce 10^8 neutrons per μΑ