Reproducing Boag and Wilson's ionisation curve

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The discussion focuses on an attempt to reproduce the ionisation curve of an ionisation chamber based on the theoretical framework provided by Boag and Wilson. The user has derived the parameters f and xi from omega and plotted them, achieving a curve that resembles the theoretical one but is misaligned on the x-axis. Specifically, while Boag and Wilson's midpoint is around 0.1, the user's graph shows a midpoint closer to 3. The user is seeking clarification on this discrepancy and whether they are overlooking a fundamental aspect of the derivation. Ultimately, the issue was resolved as a simple mistake.
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Hi, I'm trying to plot the the ionisation curve of an ionisation chamber against the theoretical curve outlined by Boag and Wilson in their paper -

http://ab-div-bdi-bl-blm.web.cern.c...turation_spacecharge/saturation_Boag_1952.pdf

I can't follow their derivation for the equation all the way (I know I should, but i don't have much time) but I have tried to reproduce their theoretical curve from the parametric equation for f and xi. I create f and xi from omega, then plot f against xi.

The shape of the curve looks pretty good, but it seems to be in a different place on the x-axis - in the paper the mid point is somewhere around 0.1, on my graph the mid point is somewhere around 3. i can't see a reason for the difference (am i missing something? is it obvious?) attached picture is of of the curve i plotted

help much appreciated
P
 

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false alarm. stupid mistake
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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