The value of b obtained experimentally by
Curran et al. corresponds to a value of (λ/µ)
equal to three quarters, a result which is completely consistent with the model of the multiplication process used in the above calculations.
Thus, provided this model remains valid, it seems
unlikely that the resolution of the proportional
counter, in so far as it is determined by fluctuations in the original avalanche, can be significantly improved beyond its present limits. The
generalization of equation (5.9) to the case where
more than one ion pair is released in the counter,
is given in Currants original paper on the subject
It has been widely used to calculate proportional
counter resolutions and has been discussed by
Sharpe (1955) and by many others.