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Experimental validation of TRIDYN self-sputtering simulations

by Michael Heines, Marie Deseyn, Bart Caerts, Thomas Elias Cocolios, René Heller, Ulrich Kentsch, Goele Magchiels, Wolfhard Möller, Lino da Costa Pereira , André Vantomme, Wiktoria Wojtaczka, Qiang Zhao

Submission summary

Authors (as registered SciPost users): Marie Deseyn
Submission information
Preprint Link: scipost_202502_00008v1  (pdf)
Date submitted: 2025-02-06 13:05
Submitted by: Deseyn, Marie
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Experiment
  • High-Energy Physics - Experiment
  • Nuclear Physics - Experiment
Approaches: Experimental, Computational

Abstract

In the case of high-fluence implantations, the approximation that every new incoming particle interacts with a pristine substrate material no longer holds. Dynamical changes to the substrate can induce different phenomena, one of which is self-sputtering. Self-sputtering occurs when incoming ions remove previously implanted ions from the implantation substrate. This phenomenon is significant in target production for nuclear structure studies and medical radionuclide separation, where self-sputtering limits can be reached during isotope implantation. Self-sputtering can be modeled using TRIDYN simulations in order to guide implantations. This work benchmarks the reliability of TRIDYN in regions relevant to both fundamental and medical research. Our findings indicate that TRIDYN predicts general dependencies reasonably well. However, it is important to carefully consider input parameters.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing

Reports on this Submission

Report #2 by Anonymous (Referee 2) on 2025-3-26 (Invited Report)

Strengths

-

Weaknesses

1. Phase diagrams of the sample system and chemistry were probably not taken into consideration
-> TRIDYN mainly only suitable for homogeneous mixtures
2. Experiments partly with very few data points (Au-C case)
3. Implantations and experiments could be described in more detail

Report

Experimental validation of TRIDYN self-sputtering simulations
By M. Heines and M. Deseyn, B. Caerts, T.E. Cocolios, R. Heller, U. Kentsch, G. Magchiels, W. Möller, L. M. C. Pereira, A. Vantomme, W. Wojtaczka and Q. Zhao

In this paper, the accuracy of tridyn simulations for ion implantations is investigated and compared with experiments. In particular, the retained fluence, measured with RBS, should provide information on the self-sputtering yield.

General Remarks:

The experiments should be described in more detail. This should include which conditions were present. Important would be the vacuum during implantation, how many implantation steps were undertaken, what exactly was done with the sample between implantations and what current was used during implantation. In addition, an estimate of the sample temperature would be helpful in order to address temperature effects.
The sample systems should be examined for their miscibility and chemical bonds (e.g. whether molecules can form with the correct stoichiometry). The Au-C system in particular has a strong tendency to segregate (very low C solubility in Au (see. Okamoto, H., Massalski, T.B. The Au-C (Gold-Carbon) system. Bulletin of Alloy Phase Diagrams 5, 378–379 (1984). https://doi.org/10.1007/BF02872953)) and therefore homogeneity after implantation, as assumed in Tridyn, cannot be assumed.

Special Remarks:

Line 86-89: I question whether adjusting the surface binding energy as a fitting parameter solves the problem that gold is unlikely to mix with the carbon and move to and from the surface by diffusion.

Eq. 4: Is the surface binding enrrgy here simply a fitting parameter or is it determined by thermodynamic/physical parameters? Please clearify

Line 92: Can the porosity be achieved by adjusting the density in the simulation? Or can vancancies be inserted as described in [8]?

Figure 1: The retained fluence is nearly the same for all energies and independent of the incoming fluence which indicates a problem with the sample system and not an error in the simulation.
Since gold and carbon tend to segregate, this is not really surprising, as gold is not firmly bound in the material.
The match at the low energy is probably a random result.
It would be nice to see how the other energies behave at low inc. fluences and whether it then also coincidentally agrees with the simulation.

Line 147: To suggest the K enters deeper due to thermal diffusion, it would be nice to now the temperature during implantation.

Line 152: Is there a measurement of the oxygen between the implantation steps to see exactly when it gets into the sample?

Conclusion:
1. The Au-C study ist not mentioned, why?
2. The question remainds, if TRIDYN and other BCA simulations are still a good approach or whether it is just a stroke of luck if they work properly. Since 2 out of 4 implantations could not be simulated well in this work. Or do the sample systems simply need to be examined more closely before that the use of TRIDYN or BCA can be considered sensible?

In the present state I cannot recomment the paper for publication

Requested changes

See the report.

Recommendation

Ask for major revision

  • validity: -
  • significance: ok
  • originality: ok
  • clarity: high
  • formatting: good
  • grammar: good

Report #1 by Anonymous (Referee 1) on 2025-3-18 (Invited Report)

Strengths

I am sorry, no strength in the manuscript

Weaknesses

1. Systems Au-C and K-C are not suited for comparison with TRIDYN
2. Experiments suffer from sever oxygen contamination
3. oxygen is not included in the TRIDYN simulations
4. RBS should be carfully analyzed and also simulated properly
5. Title may be misleading

Report

Referee report on submitted manuscript
Experimental validation of TRIDYN self-sputtering simulations
By
M. Heines and M. Deseyn, B. Caerts, T.E. Cocolios, R. Heller, U. Kentsch, G. Magchiels, W. Möller, L. M. C. Pereira, A. Vantomme, W. Wojtaczka and Q. Zhao

The authors describe a comparison of the retained amount of implanted materials after high fluence implantation into (basically) elemental targets between experiment and TRIDYN Simulations.

The experimental conditions, in particular ion energies ion fluences etc. are incomplete and should be compiled in a table. This should also include the vacuum conditions to evaluate the possible incorporation of Oxygen. It is also important in how many steps the implantations were done, inbetween the samples were extracted to ambient conditions.

For implantations of K and Au into glassy carbon it is relevant to consider the binary phase diagrams.
C-Au is essentially immissible and Au may form clusters and/or preferentially diffuse to the surface. It is known that ion irradiation of Au in Si leads to a Au surface layer due to diffusion.
C-K is also mainly immisible, although a potassium carbide exists, however this carbide is a specials ionic bonded compound with triple bonded C dimers.
Therefore, the system Au-C and K-C will behave in a very special way due to their phase diagrams. TRIDYN as well as any other BCA Monte Carlo program do NOT account for such an immisible behavior. It is therefore not surprising that the simulations and the experiments show a largely different behavior.

As a conclusions, BCA simulations are not able to predict the self-sputtering yields in those immissible binary systems. They can predict the situation on a very short time scale of a duration of a collision cascade. Any off effects are thermodynamic effects and diffusion behavior which is beyond the scope of the BCA simulations.

Implantation of Yb into Al and Zn is quite different because both binary systems possess a complex phase diagram with many thermodynamically stable phases. Therefore, implanted Yb will be chemically bound in Al as well as Zn and the BCA simulation will most likely reflect the correct local stoichiometry as function of ion fluence. It is then expected that the BCA simulations predict the correct self-sputtering yields and also the retained fluence.

The experiments however show a significant contribution of Oxygen and the experimental retained fluence corresponds to implantation into Al2O3 or ZnO.
Surprisingly there is also lot of Oxygen seen in the RBS spectrum after K implantation into glassy carbon.
From the intensities of the surface near O and K peak and correcting for the ration of atomic numbers (squared) the stoichiometry is roughly K_1 O_3.5, very strange, since the stable compound would be K2O.
This suggests that possible the incorporation of Water is also involved.
It ist therefore important to describe in detail the implantation conditions, including the vacuum in the implantation chamber.

The sublimation enthalpy of C is 7.4 eV (derived from thermodynamics). The value of 4.5 eV mentioned in ref [13] comes from an adjustment of the BCA simulations to match the experimental sputter yield of carbon. Since it is energetically favorable to also sputter carbon dimers (which is not taken into account by most BCA simulations), the experimental sputter yield can be explained by a lower surface binding energy than the 7.4 eV value. The assumption of 4.5 eV is therefore justified for a comparison with experimental sputter yield data.

TRIDYN suggest to use the surface binding energy matrix given in equation (1). To justify such a matrix would assume a chemically bonded binary liquid. This is fulfilled for e.g. the B-Si, B-C systems. For Si-N it would be valid upt to the Si3N4 stoichiometry, For Si-O up to SiO2 stoichiometry. The assumption is not valid for immiscible systems such as Au-C or K-C. Therefore, one should use surface binding energies based on the elemental sublimation enthalpies. Moreover, the validity of a BCA simulation to describe immiscible systems can be put into question.

The sputter yield for ion irradiation of Ta2O5 has been studied in detail in the literature. This system is characterized by a strong compound formation enthalpy of about 21eV per molecule or about 3 eV per atom. Calculating the surface binding energies for Ta and O from eq. (2) would lead to rather high values and thus a very low sputter yield. The experimental sputter yields, however, suggest that essentially the elemental sublimation enthalpies play a role. Of course, one can use the model suggested in the TRIDYN manual but to my opinion it is not validated by experimental data.

One remark to the RBS spectrum.

The implantations were done with 40 keV and/or 90 keV ion energy, resulting in ion ranges of about 30-40 nm. This is quite narrow compared to the depth resolution of RBS at 1.57 MeV He ion energy. In Fig. 6 the non-broadened K profile is most likely the peak above 1 MeV backscattering energy. Everything else could be due to diffusion or recoil implantation. In addition, the huge signal from oxygen is surprising. I would recommend to simulate the RBS spectrum with SIMNRA in order to extract the stoichiometry in the surface near region and in larger depth of the sample.

In high fluence or high current implantation the thermal load on the target may become relevant. It is therefore important to estimate the possible temperature of the target during implantation. Even if the sample holder is cooled, the surface temperature may be high enough to allow diffusion of the implanted species, either into the bulk or to the surface.

The manuscript should at least undergo major revisions regarding

- The immiscible system Au-C and K-C
- A detailed discussion of the high oxygen content of the samples
- A quantitative analysis of the RBS spectrums
- Correct TRIDYN simulations including O as additional projectile

May be the title is misleading, since it implies that TRIDYN self sputter yields were tested by experiments. As a consequence the reader may think that TRIDYN will give wrong results.
If however, the systems chosen (like Au C or K-C and an unkown source of oxygen) are not suited to predict correct self sputter yields with TRIDYN, then a comparison or validation is not possible. TRIDYN dos not give correct results if the chemistry (immiscibility) comes into play. TRIDYN may include oxygen depositions as additional projectiles to get closer to the “dirty” experimental situation, but this has not been included in the simulations.

A suitable title could be “ Experimental evaluation of self-sputtering yields, comparison with TRIDYN simulations, and the role of contaminants and thermodynamics ”

I think the journals publication criteria are not met.
In the present state I cannot recomment transfer to another publication

Requested changes

See the report

Recommendation

Ask for major revision

  • validity: poor
  • significance: ok
  • originality: ok
  • clarity: low
  • formatting: good
  • grammar: good

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