The depth profiles of B-10 and B-11 implanted into amorphous silicon h
ave been analyzed by secondary ion mass spectrometry. Implantation ene
rgies between 0.4 and 5.0 MeV were used, and each sample was sequentia
lly implanted with both B-10 and B-11 without changing the acceleratio
n voltage but only the field in the mass analyzing magnet. A shift bet
ween the two profiles is clearly resolved and has been carefully studi
ed as a function of ion energy. A maximum shift of 3.5% in mean projec
ted range (R(p)) is revealed at 0.6-0.8 MeV [R(p)(B-11) > R(p)(B-10)],
and for higher energies the ratio R(p)(B-11)/R(p)(B-10) decreases slo
wly to a value of approximately 1.006 at 5.0 MeV. This reverse shift (
heavier isotope penetrates deeper) is attributed to a larger electroni
c stopping cross section (S(e)) for B-10 than for B-11 at a given ener
gy E where S(e) is similar to E(p) and p > 0. The experimental data fo
r R(p)(B-11)/R(p)(B-10) and R(p)(B-11) are compared with calculations,
and it is demonstrated that the variation of R(p)(B-11)/R(p)(B-10) wi
th ion energy hinges strongly on the S(e) vs E dependence. A close vel
ocity proportional dependence (p=0.50+/-0.03) is found to be valid up
to approximately 300 keV, and then p decreases gradually with a maximu
m in S(e) (p=0) at approximately 2.0 to 2.5 MeV. A semiempirical expre
ssion is presented for S(e) and shown to yield excellent agreement wit
h both the relative isotope shift and the absolute range values; the d
eviations are less than 0.2% and 3.0%, respectively.