- Open Access
Direct large-area observation of subsurface plastic activity in conditioned copper electrodes
Phys. Rev. Accel. Beams 29, 103503 – Published 28 October, 2026
DOI: https://doi.org/10.1103/stzb-pjd8
Abstract
High-field conditioning is the process by which radio-frequency structures in particle accelerators and other high-gradient devices reach their operating fields, yet the underlying physical mechanism remains an open question. Models and indirect measurements point to subsurface dislocation dynamics, but large-area structural measurements have been missing. We present electron backscatter diffraction measurements spanning millimeter-scale regions on a copper cathode conditioned at pulsed direct-current fields up to in a sloped-anode geometry, which imposes a known gradient of field exposure across a single electrode. Across nine regions of interest spanning this exposure range, the mean intragrain misorientation of field-exposed regions exceeds that of unexposed references by ; the difference is reproduced by three independent misorientation metrics and confirmed by Kolmogorov-Smirnov tests. To our knowledge, this is the first large-area observation of structural differences between conditioned and unconditioned regions of a high-field electrode. The misorientation separates into three tiers (high-field center and edge, low-field periphery, and unexposed reference) that match the spatial profile of the conditioning-state variable predicted by Monte Carlo simulations. These observations point to the evolving subsurface dislocation population as a candidate physical basis of conditioning.
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References (37)
- W. Wuensch, S. Calatroni, F. Djurabekova, A. Kyritsakis, and Y. Ashkenazy, Fundamentals of vacuum breakdown in high-field systems, Rev. Mod. Phys. 98, 025004 (2026).
- V. M. Bjelland, W. L. Millar, M. Kildemo, and W. Wuensch, Role of the local electric-field in high-field conditioning of DC electrodes: Numerical and experimental insights, arXiv:2606.21259.
- C. Serafim, S. Calatroni, F. Djurabekova, R. Peacock, V. Bjelland, A. T. Perez-Fontenla, W. Wuensch, A. Grudiev, S. Sgobba, A. Lombardi, and E. Sargsyan, Effects of low beam irradiation and high field pulsing tests in different metals, Phys. Rev. Accel. Beams 28, 013101 (2025).
- K. Nordlund and F. Djurabekova, Defect model for the dependence of breakdown rate on external electric fields, Phys. Rev. ST Accel. Beams 15, 071002 (2012).
- E. Z. Engelberg, Y. Ashkenazy, and M. Assaf, Stochastic model of breakdown nucleation under intense electric fields, Phys. Rev. Lett. 120, 124801 (2018).
- E. Z. Engelberg, A. B. Yashar, Y. Ashkenazy, M. Assaf, and I. Popov, Theory of electric field breakdown nucleation due to mobile dislocations, Phys. Rev. Accel. Beams 22, 083501 (2019).
- E. Z. Engelberg, J. Paszkiewicz, R. Peacock, S. Lachmann, Y. Ashkenazy, and W. Wuensch, Dark current spikes as an indicator of mobile dislocation dynamics under intense dc electric fields, Phys. Rev. Accel. Beams 23, 123501 (2020).
- M. Jacewicz, I. Profatilova, Y. Ashkenazy, S. Calatroni, I. Popov, P. Szaniawski, and W. Wuensch, Surface and sub-surface modifications of copper electrodes exposed to electric high-field conditioning at cryogenic temperatures, J. Appl. Phys. 137, 193302 (2025).
- A. Korsbäck, F. Djurabekova, L. M. Morales, I. Profatilova, E. R. Castro, W. Wuensch, S. Calatroni, and T. Ahlgren, Vacuum electrical breakdown conditioning study in a parallel plate electrode pulsed dc system, Phys. Rev. Accel. Beams 23, 033102 (2020).
- A. Degiovanni, W. Wuensch, and J. Giner Navarro, Comparison of the conditioning of high gradient accelerating structures, Phys. Rev. Accel. Beams 19, 032001 (2016).
- H. Mughrabi, Cyclic slip irreversibilities and the evolution of fatigue damage, Metall. Mater. Trans. B 40, 431 (2009).
- S. E. Stanzl-Tschegg, H. Mughrabi, and B. M. Schönbauer, Life time and cyclic slip of copper in the VHCF regime, Int. J. Fatigue 29, 2050 (2007).
- W. Pantleon, Resolving the geometrically necessary dislocation content by conventional electron backscatter diffraction, Scr. Mater. 58, 994 (2008).
- P. J. Konijnenberg, S. Zaefferer, and D. Raabe, Assessment of geometrically necessary dislocation levels derived by 3D EBSD, Acta Mater. 99, 402 (2015).
- I. Profatilova, W. Wuensch, and S. Calatroni, Behaviour of copper during initial conditioning in the pulsed DC system, CERN, CLIC Note CLIC-Note-1145, 2019.
- E. M. Lehockey, Y.-P. Lin, and O. E. Lepik, Mapping residual plastic strain in materials using electron backscatter diffraction, in Electron Backscatter Diffraction in Materials Science, edited by A. J. Schwartz-M. KumarB. L. Adams (Kluwer Academic/Plenum Publishers, New York, 2000), pp. 247–264.
- M. Kamaya, A smoothing filter for misorientation mapping obtained by EBSD, Mater. Trans. 51, 1516 (2010).
- Z. Zribi, H. H. Ktari, F. Herbst, V. Optasanu, and N. Njah, EBSD, XRD and SRS characterization of a casting Al-7wt%Si alloy processed by equal channel angular extrusion: Dislocation density evaluation, Mater. Charact. 153, 190 (2019).
- N. S. De Vincentis, A. Roatta, R. E. Bolmaro, and J. W. Signorelli, EBSD analysis of orientation gradients developed near grain boundaries, Mater. Res. 22, e20180412 (2019).
- D. P. Field, P. B. Trivedi, S. I. Wright, and M. Kumar, Analysis of local orientation gradients in deformed single crystals, Ultramicroscopy 103, 33 (2005).
- J. K. Mackenzie, Second paper on statistics associated with the random disorientation of cubes, Biometrika 45, 229 (1958).
- I. Groma, G. Györgyi, and B. Kocsis, Debye screening of dislocations, Phys. Rev. Lett. 96, 165503 (2006).
- A. Lemaître, C. Mondal, M. Moshe, I. Procaccia, S. Roy, and K. Screiber-Re’em, Anomalous elasticity and plastic screening in amorphous solids, Phys. Rev. E 104, 024904 (2021).
- N. S. Livne, A. Schiller, and M. Moshe, Geometric theory of mechanical screening in two-dimensional solids, Phys. Rev. E 107, 055004 (2023).
- D. Chen, J.-C. Kuo, and W.-T. Wu, Effect of microscopic parameters on EBSD spatial resolution, Ultramicroscopy 111, 1488 (2011).
- D. Drouin, A. R. Couture, D. Joly, X. Tastet, V. Aimez, and R. Gauvin, CASINO V2.42—a fast and easy-to-use modeling tool for scanning electron microscopy and microanalysis users, Scanning 29, 92 (2007).
- F. Yue, Y. Jia, M. Zhang, H. Song, S. Zhang, W. Guo, Z. Zhang, and J. Pang, Research on very high cycle fatigue behavior of pure copper, Mater. Today Commun. 44, 112109 (2025).
- A. P. Zhilyaev, A. A. Samigullina, A. A. Nazarov, and E. R. Shayakhmetova, Structure evolution in coarse-grained nickel under ultrasonic treatment, Mater. Sci. Eng. A 731, 231 (2018).
- S. Bagchi and D. Perez, Atomistic modeling of the coupling between electric field and bulk plastic deformation in fcc metals, Phys. Rev. Accel. Beams 25, 033101 (2022).
- S. Bagchi, E. Simakov, and D. Perez, Formation of field-induced breakdown precursors on metallic electrode surfaces, Front. Phys. 12, 1353658 (2024).
- J. J. Huopana and S. T. Heikkinen, Thermo-structural analysis of the rf-induced pulsed surface heating of the CLIC accelerating structures, CERN, CLIC Note CLIC-Note-702 CERN-OPEN-2007-002, 2006.
- L. Laurent, S. Tantawi, V. Dolgashev, C. Nantista, Y. Higashi, M. Aicheler, S. Heikkinen, and W. Wuensch, Experimental study of rf pulsed heating, Phys. Rev. ST Accel. Beams 14, 041001 (2011).
- M. Aicheler, S. Sgobba, G. Arnau-Izquierdo, M. Taborelli, S. Calatroni, H. Neupert, and W. Wuensch, Evolution of surface topography in dependence on the grain orientation during surface thermal fatigue of polycrystalline copper, Int. J. Fatigue 33, 396 (2011).
- H. Conrad, Electroplasticity in metals and ceramics, Mater. Sci. Eng. A 287, 276 (2000).
- D. A. Hughes, D. C. Chrzan, Q. Liu, and N. Hansen, Scaling of misorientation angle distributions, Phys. Rev. Lett. 81, 4664 (1998).
- N. P. Gurao and S. Suwas, Generalized scaling of misorientation angle distributions at meso-scale in deformed materials, Sci. Rep. 4, 5641 (2014).
- Y. Ashkenazy, I. Popov, V. M. Bjelland, W. L. Millar, and W. Wuensch, EBSD datasets for: Direct large-area observation of subsurface plastic activity in conditioned copper electrodes, Zenodo, dataset, 10.5281/zenodo.20623348 (2026).