J. Mompart et al., CALCULATION OF RANGE AND ENERGY-LOSS OF FAST IONS WITH Z-GREATER-THAN-OR-EQUAL-TO-30 USING A CORRECTED BETHE-BLOCH FORMULA, Nuclear instruments & methods in physics research. Section B, Beam interactions with materials and atoms, 107(1-4), 1996, pp. 56-61
The classical Bethe-Bloch formula is not fully applicable to fast ions
with Z greater than or equal to 30 due to the assumptions and approxi
mations utilized in its deduction. Several corrections have been intro
duced in the Bethe-Bloch equation in order to extend the equation appl
icability to a wider range of ion charges and energies, 4 computer cod
e that allows calculation of analytical ranges and energy losses of an
y fast heavy ion passing through any dielectric absorber, has been dev
eloped. A study of the behaviour of the different corrections introduc
ed in the Bethe-Bloch formula has been performed using this code. Rang
e results calculated with the program have been compared with experime
ntal measurements of ranges of several ions with Z greater than or equ
al to 30 of kinetic energy about 1 GeV/amu using etched track detector
s exposed at the Berkeley Bevalac. It was found that discrepancies bet
ween the measured and our calculated ranges are of the order of 8%, wh
ereas if the classical Bethe-Bloch expression is used these discrepanc
ies are about 12%.