- #1
neural_jam
- 18
- 0
Hi, firstly I'm not sure if I'm posting in the correct forum, if not
could I request that the moderators move it to the right one.
Ok, so my problem is pretty much as I stated in the title.
The background to this is that I have been asked to roughly calculate the
number of alpha particles that would be incident on a detector surface
in an environment where there is 147 Bq m-3 of alpha
particles from decaying Rn222.
So, I have taken the maximum range in air for an α-particle to be
3.4cm, so I am considering the decays in a hemisphere around the
detector which for simplicity's sake I am assuming to be a square of
side 1cm, and only has radiation incident on one side.
I have worked out the total activity in the hemisphere to be 1.22x10
-2 Bq, but I'm not sure how to proceed to work out how many
actually hit the sensor.
I believe it will probably involve some kind of volume integral, but
I'm not sure what to integrate!
I'm guessing that I plug something into the following equation
[itex]\int_0^π[/itex][itex]\int_0^π[/itex][itex]\int_0^R[/itex] r2sinθ dr dθ d[itex]\phi[/itex]
(I am also assuming the radiation to be isotropic)
If anyone could point me in the right direction it would be greatly
appreciated.
Many thanks
could I request that the moderators move it to the right one.
Ok, so my problem is pretty much as I stated in the title.
The background to this is that I have been asked to roughly calculate the
number of alpha particles that would be incident on a detector surface
in an environment where there is 147 Bq m-3 of alpha
particles from decaying Rn222.
So, I have taken the maximum range in air for an α-particle to be
3.4cm, so I am considering the decays in a hemisphere around the
detector which for simplicity's sake I am assuming to be a square of
side 1cm, and only has radiation incident on one side.
I have worked out the total activity in the hemisphere to be 1.22x10
-2 Bq, but I'm not sure how to proceed to work out how many
actually hit the sensor.
I believe it will probably involve some kind of volume integral, but
I'm not sure what to integrate!
I'm guessing that I plug something into the following equation
[itex]\int_0^π[/itex][itex]\int_0^π[/itex][itex]\int_0^R[/itex] r2sinθ dr dθ d[itex]\phi[/itex]
(I am also assuming the radiation to be isotropic)
If anyone could point me in the right direction it would be greatly
appreciated.
Many thanks