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Re: [Phys-l] Alpha decay intensity against distance



interleaved
On 2009, Sep 19, , at 06:22, Savinainen Antti wrote:

Hi,

my colleague showed me an exam question on alpha decay intensity against distance in the air. The data was supposedly taken with and without
placing a paper between the source and the detector. Both graphs looked
like exponential decrease. Well, alpha particles do not generally reach distances approaching 0.5 m in the air and not many (if any?) alpha
particles can penetrate through a piece of paper. So I concluded that
the data was fake.

Yes!

Others will correct me: All Alphas have a line spectrum, and no natural ones will penetrate thick paper (except for some possible straggling, which would require a sensitive detector (no window, maybe ina vacuum and near 100% efficiency.

However, I got curious on what would a real data look like? What might the relationship between distance and intensity be in the case of alpha particles? One may assume that all alphas have the same energy (say 5 MeV).
Their range is within a few centimeters (< 5 cm) in the air as indicated
by the Bragg curve:
<http://en.wikipedia.org/wiki/File:Bragg_Curve_for_Alphas_in_Air.png>

The range detection curve is like a step function in a weak absorber (air). If one has a thin window G-M detector (typically mica 1.4 mg/ cm^2) and manually moves it to the source there is mostly only background (including concomitant [only?] gammas). Then quite suddenly** the counting rate increases, and follows the function expected from the geometry (depending on the areas of the detector and the source). This again is because of the monoenergenity, and, also, it's functional absorption, i.e. Z^2 + high mass (more nearly matching the absorber than betas).


** not if one uses a fine motion app. because of straggling.


BTW, what radioactive source could be used for this experiment as
there usually are daughter nuclei present emitting gamma and/or
beta radiation?

Am-241 is an inexpensive (free) source from ionization type smoke detectors. Illegal to recover in the US, how about in Suomi? It has a coupala weak gammas that are convenient for fluorescence of high Z nuclei. However, requires a dense detector, e.g. NaI, which is convenient for alphas. Of course depending on the energy G-M tubes are about several percent efficient for gammas (x-rays) and about 100% for Alphas (once they get past the window. A common experiment is to use a SS detector and do the expt. ina variable vacuum. Also Alpha spectroscopy is done ina vacuum.

Best regards,

Antti


bc caught the train in Helsingfors for Moscow, 1989


Antti Savinainen, Ph.D., B.Ed.
Adjunct Professor (University of Jyväskylä)
Senior Lecturer in Physics and Mathematics
Kuopion Lyseo High School
Finland
E-mail: <antti.savinainen@kuopio.fi>
Website: <http://kotisivu.dnainternet.net/savant/>


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