Z<sub>1</sub>-dependence of electronic energy straggling of light ions

Hoffmann, Inga; Jaäger, E.; Müller‐Jahreis, U.

doi:10.1080/00337577608234781

Cited by 24 publications

(13 citation statements)

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“…The contribution of nuclear stopping to the total energy loss turned out to amount to only 1.2 or 3.7%, depending on whether the most probable or the mean loss is taken into account. These numbers are well below the quoted experimental uncertainty of 8% [53]. The other literature data in Fig.…”

Section: Of Ref 43 For An Examplesupporting

confidence: 65%

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Highly accurate nuclear and electronic stopping cross sections derived using Monte Carlo simulations to reproduce measured range data

Wittmaack

Mutzke

2017

Journal of Applied Physics

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We have examined and confirmed the previously unexplored concept of using measured projected ranges of ions implanted in solids to derive a quantitative description of nuclear interaction and electronic stopping. The idea was to perform Monte Carlo calculations of range distributions and to search for those input parameters that generate, over a wide band of energies, the best possible agreement with accurate experimental range data. The projectile-target combination studied was 11 B in Si, in which case 98 data contained in 12 sets reported by 10 different groups were compiled between 1 keV and 8 MeV. Detailed examination revealed set-wise systematic errors up to ± 8%. Their removal resulted in a refined data base with 93 ranges featuring only statistical uncertainties (mean standard deviation 1.8%; five outliers not considered any further). Ultimately, the Monte Carlo calculations reproduced the 93 refined ranges very well, with a mean ratio of 1.002 ± 1.7%. The input parameters required to achieve this very high level of agreement were identified to be as follows. Nuclear interaction is best described by the Kr-C potential, but only when used in obligatory combination with the Lindhard-Scharff (LS) screening length. Up to 300 keV the electronic stopping cross section is proportional to the projectile velocity, i.e., LS-type, S e = kS e,LS , with k = 1.46 ± 0.01. At higher energies S e falls progressively short of kS e,LS. Around the Bragg peak, i.e., between 0.8 and 10 MeV, S e is described by an adjustable function with fit parameters selected to tailor the peak shape properly (flat-topped region between 1.5 and 5 MeV). The reliability of our results is confirmed by showing that calculated and measured isotope effects for ranges of 10 B and 11 B in Si agree within experimental uncertainty (± 0.25%). Furthermore, the range-based S e,R (E) reported here predicts the scarce experimental data derived from energy loss in projectile transmission through thin Si foils to within 2% or better. By contrast, S e (E) data available from different types of stopping power tables must be rated inaccurate, the deviations from S e,R (E) ranging between-40% and + 14%.

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Section: Of Ref 43 For An Examplesupporting

confidence: 65%

“…The agreement with the present results must be called 'miraculously perfect' (deviations < 1%). The same kind of transmission experiment, but with conventional energy loss spectrometry, was used by Hoffmann et al [53] to determine S e for 44.2 keV 11 B impact on Si foils. The result, solid circle with 8% error bar in Fig.…”

Section: Of Ref 43 For An Examplementioning

confidence: 99%

Highly accurate nuclear and electronic stopping cross sections derived using Monte Carlo simulations to reproduce measured range data

Wittmaack

Mutzke

2017

Journal of Applied Physics

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“…For C in Si, data from Grahmann et al [32] and Santry et al [31] lie close to the calculated reduced stopping cross section, while a single point from Hoffmann et al [33] falls on the full instead of the reduced stopping cross section. A correction for nuclear stopping has not been reported for those measurements.…”

Section: Si-csupporting

confidence: 55%

“…Figure 9 also reveals that for Z 1 in Al the plotted ratio goes through a maximum for N ions and, for neighboring carbon ions should lie ∼ 35% above the calculated reduced stopping cross section, as is seen in the data from Ormrod et al in Figure 7. Figure 8 reflects the fact that data for C in C, data from [24,18,33] all lie significantly above the reduced stopping cross section, as seen in Figure 9, which predicts a ∼ 40% enhancement. For Al in Al experimental data do not show a clear message, but data from [28] are consistent with a value smaller by ∼ 15% following from Figure 9.…”

Section: Z 1 Structurementioning

confidence: 74%

Reciprocity analysis of electronic stopping of slow ions

Sigmund

Kuzmin

Schinner

2019

Nuclear Instruments and Methods in Physics Research Section B:

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Reciprocity denotes the (approximate) equality of the electronic stopping cross section of element A in element B with the one of element B in element A. Reciprocity is expected in the energy range below ∼ 0.1 MeV/u. For ions heavier than protons, most measurements are performed by the transmission technique. In order to minimize nuclear energy loss, only a narrow beam of penetrating ions is allowed to enter the detector. This implies that also the electronic energy loss is underestimated. We have estimated the magnitude of the necessary correction on the basis of the PASS code and its influence on the expected reciprocity and find that reciprocity is not necessarily violated, even if the reported cross sections differ significantly. However, we also find differences between reported stopping cross sections and computed reduced stopping cross sections that we cannot reconcile on the basis of the PASS code. These differences are found to reflect the well-known Z 1 structure, which is not inherent in the present version of PASS.

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“…Improved spectrometer performance in the future should enable higher-resolution measurements. Other inherent parameters that can limit the energy resolution include energy straggling of the ion beam [96] when post-stripper foils are used and kinematic linebroadening effects [46,97]. All the reported DDCS for B 3+ beams were taken without the use of a post-stripper and therefore straggling was not an issue, except for B 4+ beams where this effect was important, as it was for B 3+ in the example shown in Fig.…”

Section: Comparison With Earlier Workmentioning

confidence: 99%

Elastic resonant and nonresonant differential scattering of quasifree electrons fromB4+(1s)and
Benis
¹
,
Zouros
²
,
Gorczyca
³

et al. 2004
Phys. Rev. A
32
3
20
1
1
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High-resolution doubly differential cross-section measurements and calculations for quasifree electrons elastically scattered through 180°from ground-state He-and H-like boron ions are presented. The measurements, covering the entire (for B 3+ ) and (for B 4+ ) Rydberg series populated by resonant excitation, were performed by zero-degree Auger projectile electron spectroscopy of 3.91 MeV B 4+ and 3.08-7.48 MeV B 3+ ions in collisions with H 2 targets. The projectile energy dependence study is used to further investigate other background contributions such as direct electron capture, direct excitation, and nonresonant transfer excitation. R-matrix calculations, particularly sensitive at this large scattering angle to electron correlation, exchange, and interference effects, are found to be in excellent overall agreement within the electron scattering model.

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Z₁-dependence of electronic energy straggling of light ions

Cited by 24 publications

References 0 publications

Highly accurate nuclear and electronic stopping cross sections derived using Monte Carlo simulations to reproduce measured range data

Highly accurate nuclear and electronic stopping cross sections derived using Monte Carlo simulations to reproduce measured range data

Reciprocity analysis of electronic stopping of slow ions

Elastic resonant and nonresonant differential scattering of quasifree electrons fromB4+(1s)and
Benis
¹
,
Zouros
²
,
Gorczyca
³

et al. 2004
Phys. Rev. A
32
3
20
1
1
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Z1-dependence of electronic energy straggling of light ions

Cited by 24 publications

References 0 publications

Highly accurate nuclear and electronic stopping cross sections derived using Monte Carlo simulations to reproduce measured range data

Highly accurate nuclear and electronic stopping cross sections derived using Monte Carlo simulations to reproduce measured range data

Reciprocity analysis of electronic stopping of slow ions

Elastic resonant and nonresonant differential scattering of quasifree electrons fromB4+(1s)andBenis1, Zouros2, Gorczyca3 et al. 2004Phys. Rev. A3232011View full textAdd to dashboardCite

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About

Z₁-dependence of electronic energy straggling of light ions

Elastic resonant and nonresonant differential scattering of quasifree electrons fromB4+(1s)and
Benis
¹
,
Zouros
²
,
Gorczyca
³

et al. 2004
Phys. Rev. A
32
3
20
1
1
View full text Add to dashboard Cite