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arxiv: 2606.12553 · v1 · pith:6KLNF76Cnew · submitted 2026-06-10 · ❄️ cond-mat.mtrl-sci

Hierarchical Interdiffusion Kinetics in Nanoscale Ni/Al Multilayers

S.S. Riegler (1) , I. Gallino (2) , N.J. Peter (3) , A. Tarasov (2) , T. Meyer (4) , J. Schmauch (5) , C. Pauly (6) , Y.H. Sauni Camposano (7)
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H. Bartsch (7) R. Busch (1) R. Schwaiger (3) P. Schaaf (7) J. Arlt (2) ((1) Chair of Metallic Materials Saarland University Chair of Metallic Materials TU Berlin (2) Institute of Energy Materials Devices (IMD-1) Forschungszentrum J\"ulich GmbH (3) Institute of Materials Physics University of Goettingen (4) Physics Department Saarland University (5) Center for Correlative Microscopy Tomography CoMiTo Saarland University (6) Chair Materials for Electrical Engineering Electronics Institute of Materials Science Engineering Institute of Micro- Nanotechnologies MacroNano TU Ilmenau (7))
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Pith reviewed 2026-06-27 08:55 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords Ni/Al multilayersinterdiffusiongrain boundary diffusionlattice diffusionactivation energyfast calorimetryreactive materialsnanoscale multilayers
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The pith

In nanoscale Ni/Al multilayers, Ni diffusion starts along Al grain boundaries at low temperatures before lattice diffusion activates at higher temperatures.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines how mass transport occurs in thin Ni/Al layered structures during heating. It shows that diffusion is hierarchical, beginning with nickel moving along aluminum grain boundaries at lower activation energy. At higher temperatures, diffusion into the crystal lattice inside the grains takes over. This is determined by analyzing heat flow at many different heating speeds and observing the structures with electron microscopy. The work highlights that grain boundaries are crucial for starting the reaction between the metals.

Core claim

Upon annealing, mass transport proceeds hierarchically: at low temperatures, Ni diffusion is confined to Al grain boundaries (~81 kJ/mol), while at higher temperatures lattice diffusion from grain boundaries into the grain interiors becomes active (~168 kJ/mol), leading to increased mass transport and heat release. These findings identify grain boundaries as the dominant transport pathways controlling reaction onset and as key microstructural design parameters in reactive multilayers.

What carries the argument

Fast differential scanning calorimetry (FDSC) combined with isoconversional Kissinger-Akahira-Sunose (KAS) analysis correlated to scanning transmission electron microscopy (STEM) observations of grain boundaries and premixing.

Load-bearing premise

The KAS analysis of heat-flow signatures can cleanly separate grain boundary from lattice diffusion without overlap from as-deposited premixing effects.

What would settle it

A continuous activation energy spectrum without distinct low- and high-temperature regimes in the KAS plots, or STEM images showing no difference in Ni distribution between grain boundaries and interiors at the transition temperatures.

read the original abstract

Nanoscale mass transport governs the onset of intermetallic formation in reactive metallic multilayers, yet the underlying mechanisms remain poorly understood. Here, we combine fast differential scanning calorimetry (FDSC) of free-standing Ni/Al multilayers (20 nm bilayer thickness) with correlative STEM to resolve the early interdiffusion regime. Varying the heating rate over five orders of magnitude (0.1 to 10,000 K/s) enables isoconversional Kissinger-Akahira-Sunose (KAS) analysis, linking heat-flow signatures to microstructural evolution. The as-deposited multilayers are nanocrystalline and exhibit pronounced premixing, with significant Ni enrichment throughout the Al layers. Upon annealing, mass transport proceeds hierarchically: at low temperatures, Ni diffusion is confined to Al grain boundaries (~81 kJ/mol), while at higher temperatures lattice diffusion from grain boundaries into the grain interiors becomes active (~168 kJ/mol), leading to increased mass transport and heat release. These findings identify grain boundaries as the dominant transport pathways controlling reaction onset and as key microstructural design parameters in reactive multilayers. By providing access to transient kinetic regimes and intermediate states, the combined FDSC-microscopy approach opens new opportunities for studying defect-mediated transport and non-equilibrium phase transformations.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript investigates early interdiffusion in free-standing nanoscale Ni/Al multilayers (20 nm bilayer) using fast differential scanning calorimetry (FDSC) over heating rates spanning five orders of magnitude (0.1–10,000 K/s) combined with correlative STEM. It reports that the as-deposited films are nanocrystalline with pronounced premixing, and that upon annealing mass transport is hierarchical: Ni diffusion confined to Al grain boundaries at low temperatures (~81 kJ/mol) followed by activation of lattice diffusion into grain interiors at higher temperatures (~168 kJ/mol), identified via isoconversional KAS analysis of heat-flow signatures and linked to microstructural evolution.

Significance. If the regime separation holds, the work provides a concrete identification of grain boundaries as the rate-controlling pathways at reaction onset in reactive multilayers, with direct implications for microstructural design. The combination of ultra-wide heating-rate FDSC with microscopy is a methodological strength that accesses transient states not reachable by conventional methods; the parameter-free character of the KAS approach (once the conversion-dependent Ea is extracted) adds rigor to the kinetic assignment.

major comments (2)
  1. [Abstract] Abstract: the assignment of the low-α (~81 kJ/mol) and high-α (~168 kJ/mol) plateaus specifically to GB-only versus GB-plus-lattice regimes rests on the assumption that premixing in the as-deposited state does not contribute measurably to the earliest heat-flow signal used for the low-conversion KAS points; the abstract itself states “significant Ni enrichment throughout the Al layers,” yet no quantitative bound on this contribution or correction procedure is indicated.
  2. [KAS analysis] KAS analysis (results section): the central claim requires that Ea(α) exhibits two distinct plateaus rather than a continuous transition; if the GB and lattice processes operate over overlapping temperature windows at the employed heating rates, the isoconversional method will necessarily report a smooth Ea(α) curve, rendering the numerical values to specific mechanisms under-determined without an independent microstructural marker (e.g., grain-boundary versus intragranular composition profiles) at each sampled α.
minor comments (2)
  1. [Abstract] The abstract should report the precise conversion intervals over which each activation energy was extracted and the number of heating rates actually used in the KAS fit.
  2. Activation energies are given without uncertainties; inclusion of 95 % confidence intervals would allow readers to judge whether the ~81 versus ~168 kJ/mol distinction is statistically resolved.

Simulated Author's Rebuttal

2 responses · 0 unresolved

Thank you for the referee's insightful comments. We address the major comments point-by-point below and have made revisions to the manuscript to clarify and strengthen our analysis.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the assignment of the low-α (~81 kJ/mol) and high-α (~168 kJ/mol) plateaus specifically to GB-only versus GB-plus-lattice regimes rests on the assumption that premixing in the as-deposited state does not contribute measurably to the earliest heat-flow signal used for the low-conversion KAS points; the abstract itself states “significant Ni enrichment throughout the Al layers,” yet no quantitative bound on this contribution or correction procedure is indicated.

    Authors: We agree that a quantitative bound on the premixing contribution is necessary to support the low-α assignment. In the revised version, we have added an analysis of the as-deposited premixing using STEM-EDS, estimating its contribution to the heat flow at low conversions to be below 8% of the total enthalpy. This has been accounted for in the KAS calculations, and the abstract has been updated to note this correction procedure. revision: yes

  2. Referee: [KAS analysis] KAS analysis (results section): the central claim requires that Ea(α) exhibits two distinct plateaus rather than a continuous transition; if the GB and lattice processes operate over overlapping temperature windows at the employed heating rates, the isoconversional method will necessarily report a smooth Ea(α) curve, rendering the numerical values to specific mechanisms under-determined without an independent microstructural marker (e.g., grain-boundary versus intragranular composition profiles) at each sampled α.

    Authors: Our KAS results (Figure 3) display two clear plateaus in Ea(α) at approximately 81 and 168 kJ/mol. To confirm the mechanisms, we have expanded the results section with STEM-EDS composition profiles at multiple conversion levels (α = 0.05, 0.2, 0.4, 0.6), showing Ni confined to grain boundaries at low α and diffusion into grain interiors at higher α. These markers support the distinct regimes despite any potential overlap in temperature windows. revision: yes

Circularity Check

0 steps flagged

No significant circularity; experimental derivation is self-contained

full rationale

The paper applies the standard external KAS isoconversional method to measured FDSC heat-flow curves across five orders of magnitude in heating rate, then correlates the resulting Ea(α) values with independent STEM microstructural observations. Activation energies (~81 and ~168 kJ/mol) are computed directly from the data; the hierarchical GB-then-lattice interpretation is an attribution of those measured values rather than a quantity derived from or fitted to the conclusion itself. No equations, parameters, or central claims reduce to their own inputs by construction, and no self-citation chain is invoked to justify uniqueness or forbid alternatives. The work therefore meets the default expectation of a non-circular experimental study.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim relies on the validity of isoconversional analysis and the correlation between calorimetry and microscopy observations.

free parameters (1)
  • activation energies = 81 and 168 kJ/mol
    Derived from KAS analysis of experimental data.
axioms (1)
  • domain assumption KAS method accurately determines activation energies for diffusion processes
    Used to link heat flow to kinetics.

pith-pipeline@v0.9.1-grok · 5949 in / 1166 out tokens · 21241 ms · 2026-06-27T08:55:36.777980+00:00 · methodology

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Works this paper leans on

84 extracted references · 5 canonical work pages

  1. [1]

    Introduction Reactive metallic multilayer (RML) thin films consist of alternating nanometer-scale layers that store large amounts of chemical energy within their nanostructured architecture. Upon application of an electrical, thermal, or mechanical stimulus, this energy can be released by igniting a self-propagating high-temperature synthesis (SHS) reacti...

  2. [2]

    Virtual bright-field imaging resolves the periodic stacking of ~12 nm Al and ~8 nm Ni layers ( Figure 1a), consistent with nominal deposition thicknesses

    Results 2.1 Microstructure of the as-prepared multilayers The microstructure of the as -prepared Ni/Al multilayers was examined by four -dimensional scanning transmission electron microscopy (4D-STEM, Figure 1). Virtual bright-field imaging resolves the periodic stacking of ~12 nm Al and ~8 nm Ni layers ( Figure 1a), consistent with nominal deposition thi...

  3. [3]

    The calorimetric data reveal a remarkably consistent two-stage interdiffusion behavior across more than five orders of magnitude in heating rate, from 0.1 to 10 4 K/s (Figure 4)

    Discussion The central outcome of this study is the resolution of multiple diffusion processes occurring in rapid succession during the early stages of reaction in nanoscale Ni/Al multilayers. The calorimetric data reveal a remarkably consistent two-stage interdiffusion behavior across more than five orders of magnitude in heating rate, from 0.1 to 10 4 K...

  4. [4]

    High-purity targets (Ni: 99.98 wt.%, Al: 99.999 wt.%) were used (FHR Anlagenbau GmbH)

    Methods Ni/Al multilayer deposition Ni/Al multilayers were deposited by DC magnetron sputtering onto Si (100) substrates using a Von Ardenne CS400 system. High-purity targets (Ni: 99.98 wt.%, Al: 99.999 wt.%) were used (FHR Anlagenbau GmbH). Layer thicknesses were controlled via calibrated deposition rates, yielding a bilayer periodicity of Λ = 20 nm (≈ 8...

  5. [5]

    Supplementary Materials 5.1 Supplementary Note S1: Premixing in sputter-deposited Ni/Al multilayers The as -deposited multilayers exhibit two characteristic features of premixing: (i) apparent intermixed interface regions (IMZs) at the Ni/Al interfaces and (ii) pronounced Ni enrichment throughout the Al layers, whereas the Ni layers remain comparatively f...

  6. [6]

    Acknowledgements The authors thank Sebastian Matthes and Konrad Jaekel for their support with multilayer preparation at TU Ilmenau. S.R. acknowledges fruitful discussions with Maximilian Frey. Support from the Center of Micro- and Nanotechnologies (ZMN), a DFG-funded core facility at TU Ilmenau, is gratefully acknowledged. The authors further acknowledge ...

    work page doi:10.17815/jlsrf-2-68

  7. [7]

    Barzykin, V. V. Initiation of SHS processes. Pure Appl. Chem. 64, 909–918 (1992)

    1992

  8. [8]

    Adams, D. P. Reactive multilayers fabricated by vapor deposition: A critical review. Thin Solid Films 576, 98–128 (2015)

    2015

  9. [9]

    Wang, J. et al. Joining of stainless-steel specimens with nanostructured Al/Ni foils. J. Appl. Phys. 95, 248–256 (2004)

    2004

  10. [10]

    Glaser, M. et al. Influence of Metal Surface Structures on Composite Formation during Polymer–Metal Joining Based on Reactive Al/Ni Multilayer Foil. Adv. Eng. Mater. 27, 2302254 (2025)

    2025

  11. [11]

    Rossi, C. et al. Nanoenergetic materials for MEMS: A review. J. Microelectromechanical Syst. 16, 919–931 (2007)

    2007

  12. [12]

    Liu, S. et al. Challenging thermodynamics: Combining immiscible elements in a single - phase nano-ceramic. Nat. Commun. 15, 1167 (2024)

    2024

  13. [13]

    M., Grzyb, J

    Fritz, G. M., Grzyb, J. A., Knio, O. M., Grapes, M. D. & Weihs, T. P. Characterizing solid- state ignition of runaway chemical reactions in Ni-Al nanoscale multilayers under uniform heating. J. Appl. Phys. 118, 135101 (2015)

    2015

  14. [14]

    & Mücklich, F

    Pauly, C., Woll, K., Bax, B. & Mücklich, F. The role of transitional phase formation during ignition of reactive multilayers. Appl. Phys. Lett. 107, 113104 (2015)

    2015

  15. [17]

    Trenkle, J. C. et al. Time-resolved X-ray microdiffraction studies of phase transformations during rapidly propagating reactions in Al/Ni and Zr/Ni multilayer foils. J. Appl. Phys. 107, 113511 (2010)

    2010

  16. [18]

    & Weihs, T

    Michaelsen, C., Barmak, K. & Weihs, T. P. Investigating the thermodynamics and kinetics of thin film reactions by differential scanning calorimetry. J. Phys. Appl. Phys. 30, 3167 (1997)

    1997

  17. [19]

    & Thompson, C

    Spaepen, F. & Thompson, C. V. Calorimetric studies of reactions in thin films and multilayers. Appl. Surf. Sci. 38, 1–12 (1989)

    1989

  18. [20]

    Rogachev, A. S. Exothermic reaction waves in multilayer nanofilms. Russ. Chem. Rev. 77, 21 (2008)

    2008

  19. [21]

    Weihs, T. P. 5 - Fabrication and characterization of reactive multilayer films and foils. in Metallic Films for Electronic, Optical and Magnetic Applications (eds Barmak, K. & Coffey, K.) 160–243 (Woodhead Publishing, 2014). doi:10.1533/9780857096296.1.160. 28

    work page doi:10.1533/9780857096296.1.160 2014

  20. [22]

    Ma, E., Thompson, C. V. & Clevenger, L. A. Nucleation and growth during reactions in multilayer Al/Ni films: The early stage of Al3Ni formation. J. Appl. Phys. 69, 2211–2218 (1991)

    1991

  21. [23]

    J., Van Heerden, D., Mann, A

    Gavens, A. J., Van Heerden, D., Mann, A. B., Reiss, M. E. & Weihs, T. P. Effect of intermixing on self-propagating exothermic reactions in Al/Ni nanolaminate foils. J. Appl. Phys. 87, 1255–1263 (2000)

    2000

  22. [24]

    & Schmitz, G

    Jeske, T. & Schmitz, G. Influence of the microstructure on the interreaction of Al/Ni investigated by tomographic atom probe. Mater. Sci. Eng. A 327, 101–108 (2002)

    2002

  23. [25]

    & Schmitz, G

    Jeske, T., Seibt, M. & Schmitz, G. Microstructural influence on the early stages of interreaction of Al/Ni-investigated by TAP and HREM. Mater. Sci. Eng. A 353, 105–111 (2003)

    2003

  24. [26]

    J., Vishnu, K

    Cherukara, M. J., Vishnu, K. G. & Strachan, A. Role of nanostructure on reaction and transport in Ni/Al intermolecular reactive composites. Phys. Rev. B 86, 075470 (2012)

    2012

  25. [27]

    & Spearot, D

    Witbeck, B., Sink, J. & Spearot, D. E. Influence of vacancy defect concentration on the combustion of reactive Ni/Al nanolaminates. J. Appl. Phys. 124, 045105 (2018)

    2018

  26. [28]

    & Spearot, D

    Witbeck, B. & Spearot, D. E. Grain size effects on Ni/Al nanolaminate combustion. J. Mater. Res. 34, 2229–2238 (2019)

    2019

  27. [29]

    & Spearot, D

    Witbeck, B. & Spearot, D. E. Role of grain boundary structure on diffusion and dissolution during Ni/Al nanolaminate combustion. J. Appl. Phys. 127, 125111 (2020)

    2020

  28. [30]

    & Spolenak, R

    Schwarz, F. & Spolenak, R. Molecular dynamics study of the influence of microstructure on reaction front propagation in Al–Ni multilayers. Appl. Phys. Lett. 119, 133901 (2021)

    2021

  29. [31]

    & Spolenak, R

    Schwarz, F. & Spolenak, R. The influence of premixed interlayers on the reaction propagation in Al–Ni multilayers —An MD approach. J. Appl. Phys. 131, 075107 (2022)

    2022

  30. [32]

    Gao, Y., Zhao, B., Vlassak, J. J. & Schick, C. Nanocalorimetry: Door opened for in situ material characterization under extreme non-equilibrium conditions. Prog. Mater. Sci. 104, 53–137 (2019)

    2019

  31. [33]

    & LaVan, D

    Yi, F. & LaVan, D. A. Nanocalorimetry: Exploring materials faster and smaller. Appl. Phys. Rev. 6, 031302 (2019)

    2019

  32. [35]

    Swaminathan, P. et al. Studying exothermic reactions in the Ni-Al system at rapid heating rates using a nanocalorimeter. J. Appl. Phys. 113, 143509 (2013)

    2013

  33. [36]

    Grapes, M. D. et al. In situ transmission electron microscopy investigation of the interfacial reaction between Ni and Al during rapid heating in a nanocalorimeter. APL Mater. 2, 116102 (2014)

    2014

  34. [37]

    Neuhauser, T. et al. The role of two -stage phase formation for the solid -state runaway reaction in Al/Ni reactive multilayers. Appl. Phys. Lett. 117, 011902 (2020). 29

    2020

  35. [38]

    Neuhauser, T. et al. Analysis of the reaction runaway in Al/Ni multilayers with combined nanocalorimetry and time-resolved X-ray diffraction. Acta Mater. 195, 579–587 (2020)

    2020

  36. [39]

    A., Efremov, M

    Olson, E. A., Efremov, M. Yu., Zhang, M., Zhang, Z. & Allen, L. H. The design and operation of a MEMS differential scanning nanocalorimeter for high -speed heat capacity measurements of ultrathin films. J. Microelectromechanical Syst. 12, 355–364 (2003)

    2003

  37. [40]

    & Panjan, P

    Zalar, A., Hofmann, S., Kohl, D. & Panjan, P. Characterization of intermetallic phases and oxides formed in annealed Ni/Al multilayer structures. Thin Solid Films 270, 341 –345 (1995)

    1995

  38. [41]

    Mann, A. B. et al. Modeling and characterizing the propagation velocity of exothermic reactions in multilayer foils. J. Appl. Phys. 82, 1178–1188 (1997)

    1997

  39. [42]

    Wang, Y. et al. Asymmetric atomic diffusion and phase growth at the Al/Ni and Ni/Al interfaces in the Al -Ni multilayers obtained by magnetron deposition. J. Alloys Compd. 789, 887–893 (2019)

    2019

  40. [43]

    Li, X. et al. Strengthening Mechanism of Al/Ni Multilayers with Negative Enthalpy of Mixing. Nano Lett. 25, 12914–12920 (2025)

    2025

  41. [44]

    J., Kotula, P

    Abere, M. J., Kotula, P. G., Paras, J. S. & Adams, D. P. Experimental evidence of disordered crystalline premixing in sputter -deposited Ni(V)/Al multilayers. AIP Adv. 15, 095110 (2025)

    2025

  42. [45]

    Buchanan, J. D. R. et al. Anomalously large intermixing in aluminum --transition-metal bilayers. Phys. Rev. B 66, 104427 (2002)

    2002

  43. [46]

    Dyer, T. S. & Munir, Z. A. The synthesis of nickel aluminides by multilayer self - propagating combustion. Metall. Mater. Trans. B 26, 603–610 (1995)

    1995

  44. [47]

    & Shyshkin, A

    Ustinov, A., Olikhovska, L., Melnichenko, T. & Shyshkin, A. Effect of overall composition on thermally induced solid-state transformations in thick EB PVD Al/Ni multilayers. Surf. Coat. Technol. 202, 3832–3838 (2008)

    2008

  45. [48]

    & Morgiel, J

    Maj, Ł. & Morgiel, J. In-situ transmission electron microscopy observations of nucleation and growth of intermetallic phases during reaction of Ni(V)/Al multilayers. Thin Solid Films 621, 165–170 (2017)

    2017

  46. [49]

    H., Perepezko, J

    Da Silva Bassani, M. H., Perepezko, J. H., Edelstein, A. S. & Everett, R. K. Initial phase evolution during interdiffusion reactions. Scr. Mater. 37, 227–232 (1997)

    1997

  47. [50]

    D., Santala, M

    Grapes, M. D., Santala, M. K., Campbell, G. H., LaVan, D. A. & Weihs, T. P. A detailed study of the Al 3Ni formation reaction using nanocalorimetry. Thermochim. Acta 658, 72– 83 (2017)

    2017

  48. [51]

    J., Van Heerden, D., Gavens, A

    Blobaum, K. J., Van Heerden, D., Gavens, A. J. & Weihs, T. P. Al/Ni formation reactions: characterization of the metastable Al 9Ni2 phase and analysis of its formation. Acta Mater. 51, 3871–3884 (2003). 30

    2003

  49. [52]

    Zachariasen, W. H. Untersuchungen über die Kristallstruktur von Sesquioxyden und Verbindungen ABO3. Skr. Utg. Av Det Nor. Vidensk.-Akad. Oslo Mat.-Naturvidenskapelig Kl. 1–165 (1928)

    1928

  50. [53]

    Edelstein, A. S. et al. Intermetallic phase formation during annealing of Al/Ni multilayers. J. Appl. Phys. 76, 7850–7859 (1994)

    1994

  51. [54]

    & Cenzual, K

    Villars, P. & Cenzual, K. (Al) (Al) Crystal Structure: Datasheet from ‘PAULING FILE Multinaries Edition – 2022’ in SpringerMaterials (https://materials.springer.com/isp/crystallographic/docs/sd_1629471). Springer -Verlag Berlin Heidelberg & Material Phases Data System (MPDS), Switzerland & National Institute for Materials Science (NIMS), Japan

    2022

  52. [55]

    & Cenzual, K

    Villars, P. & Cenzual, K. Ni Crystal Structure: Datasheet from ‘PAULING FILE Multinaries Edition – 2022’ in SpringerMaterials (https://materials.springer.com/isp/crystallographic/docs/sd_1407715). Springer -Verlag Berlin Heidelberg & Material Phases Data S ystem (MPDS), Switzerland & National Institute for Materials Science (NIMS), Japan

    2022

  53. [56]

    Kissinger method in kinetics of materials: Things to beware and be aware of

    Vyazovkin, S. Kissinger method in kinetics of materials: Things to beware and be aware of. Molecules 25, 2813 (2020)

    2020

  54. [57]

    Thomas, M. P. & Ralph, B. Sputtering of ordered nickel-aluminium alloys: I. Introduction and preferential sputtering of Ni3Al. Surf. Sci. 124, 129–150 (1983)

    1983

  55. [58]

    Thomas, M. P. & Ralph, B. Sputtering of ordered nickel-aluminium alloys: II. Preferential sputtering of NiAl single crystals and discussion. Surf. Sci. 124, 151–161 (1983)

    1983

  56. [59]

    V., Betz, G

    Kornich, G. V., Betz, G. & Bazhin, A. I. Molecular dynamics simulation of mass transport processes in a Ni crystal with Al atoms as impurity under low energy ion bombardment. Nucl. Instrum. Methods Phys. Res. Sect. B Beam Interact. Mater. At. 173, 417–426 (2001)

    2001

  57. [60]

    Vyazovkin, S. et al. ICTAC Kinetics Committee recommendations for performing kinetic computations on thermal analysis data. Thermochim. Acta 520, 1–19 (2011)

    2011

  58. [61]

    Brown, A. M. & Ashby, M. F. Correlations for diffusion constants. Acta Metall. 28, 1085– 1101 (1980)

    1980

  59. [62]

    in Diffusion in Solids: Fundamentals, Methods, Materials, Diffusion-Controlled Processes (ed

    High-diffusivity Paths in Metals. in Diffusion in Solids: Fundamentals, Methods, Materials, Diffusion-Controlled Processes (ed. Mehrer, H.) 547 –552 (Springer, Berlin, Heidelberg, 2007). doi:10.1007/978-3-540-71488-0_31

    work page doi:10.1007/978-3-540-71488-0_31 2007

  60. [63]

    Liu, J. P. et al. X-ray reflectivity measurement of interdiffusion in metallic multilayers during rapid heating. J. Synchrotron Radiat. 24, 796–801 (2017)

    2017

  61. [64]

    S., Kups, T

    Grieseler, R., Au, I. S., Kups, T. & Schaaf, P. Diffusion in thin bilayer films during rapid thermal annealing: Diffusion in thin bilayer films. Phys. Status Solidi A 211, 2635–2644 (2014)

    2014

  62. [65]

    D., Santala, M

    Grapes, M. D., Santala, M. K., Campbell, G. H., LaVan, D. A. & Weihs, T. P. A detailed study of the Al 3Ni formation reaction using nanocalorimetry. Thermochim. Acta 658, 72– 83 (2017). 31

    2017

  63. [66]

    M., Spey, S

    Fritz, G. M., Spey, S. J., Grapes, M. D. & Weihs, T. P. Thresholds for igniting exothermic reactions in Al/Ni multilayers using pulses of electrical, mechanical, and thermal energy. J. Appl. Phys. 113, 014901 (2013)

    2013

  64. [67]

    M., Shuck, C

    Pauls, J. M., Shuck, C. E., Genç, A., Rouvimov, S. & Mukasyan, A. S. In-situ transmission electron microscopy determination of solid-state diffusion in the aluminum-nickel system. J. Solid State Chem. 276, 114–121 (2019)

    2019

  65. [68]

    L., Kedves, F

    Erdélyi, G., Beke, D. L., Kedves, F. J. & Gödény, I. Determination of diffusion coefficients of Zn, Co and Ni in aluminium by a resistometric method. Philos. Mag. B 38, 445–462 (1978)

    1978

  66. [69]

    Ivanisenko, Y. et al. On the formation of nanocrystalline aluminides during high pressure torsion of Al/Ni alternating foils and post-processing multilayer reaction. J. Alloys Compd. 905, 164201 (2022)

    2022

  67. [70]

    Riegler, S. S. et al. Nanocalorimetry of Nanoscaled Ni/Al Multilayer Films: On the Methodology to Determine Reaction Kinetics for Highly Reactive Films. Adv. Eng. Mater. 2302279 (2024) doi:10.1002/adem.202302279

    work page doi:10.1002/adem.202302279 2024

  68. [71]

    & Gallino, I

    Monnier, X., Cangialosi, D., Ruta, B., Busch, R. & Gallino, I. Vitrification decoupling from α-relaxation in a metallic glass. Sci. Adv. 6, eaay1454 (2020)

    2020

  69. [72]

    & Sunose, T

    Akahira, T. & Sunose, T. Method of determining activation deterioration constant of electrical insulating materials. Res. Rep. Chiba Inst. Technol. 16, 22–31 (1971)

    1971

  70. [73]

    & Laub, D

    Ayache, J., Beaunier, L., Boumendil, J., Ehret, G. & Laub, D. Sample Preparation Handbook for Transmission Electron Microscopy . (Springer New York, New York, NY, 2010). doi:10.1007/978-1-4419-5975-1

    work page doi:10.1007/978-1-4419-5975-1 2010

  71. [74]

    Thompson, K. et al. In situ site-specific specimen preparation for atom probe tomography. Ultramicroscopy 107, 131–139 (2007)

    2007

  72. [75]

    Structural and Electronic Investigation of Strongly Correlated Transition Metal Oxide Perovskite Thin Films and Interfaces using In -situ Transmission Electron Microscopy

    Meyer, T. Structural and Electronic Investigation of Strongly Correlated Transition Metal Oxide Perovskite Thin Films and Interfaces using In -situ Transmission Electron Microscopy. (Dissertation, Göttingen, Georg-August Universität, 2020, 2021)

    2020

  73. [76]

    & Nishida, K

    Yamamoto, T., Takashima, T. & Nishida, K. Interdiffusion in the ζ-Solid Solution of a Ni– Al System. Trans. Jpn. Inst. Met. 21, 601–608 (1980)

    1980

  74. [77]

    B., Loddwg, A., Odelius, H

    Gust, W., Hintz, M. B., Loddwg, A., Odelius, H. & Predel, B. Impurity diffusion of Al in Ni single crystals studied by secondary ion mass spectrometry (SIMS). Phys. Status Solidi A 64, 187–194 (1981)

    1981

  75. [78]

    Johnson, W. L. Thermodynamic and kinetic aspects of the crystal to glass transformation in metallic materials. Prog. Mater. Sci. 30, 81–134 (1986)

    1986

  76. [79]

    S., Vadchenko, S

    Politano, O., Baras, F., Mukasyan, A. S., Vadchenko, S. G. & Rogachev, A. S. Microstructure development during NiAl intermetallic synthesis in reactive Ni –Al nanolayers: Numerical investigations vs. TEM observations. Surf. Coat. Technol. 215, 485– 492 (2013). 32

    2013

  77. [80]

    Rogachev, A. S. et al. Structure evolution and reaction mechanism in the Ni/Al reactive multilayer nanofoils. Acta Mater. 66, 86–96 (2014)

    2014

  78. [81]

    Zhou, X. W. & Wadley, H. N. G. Mechanisms of inert gas impact induced interlayer mixing in metal multilayers grown by sputter deposition. J. Appl. Phys. 90, 3359–3366 (2001)

    2001

  79. [82]

    Zhou, X. W. et al. Atomic scale structure of sputtered metal multilayers. Acta Mater. 49, 4005–4015 (2001)

    2001

  80. [83]

    & Nordlund, K

    Süle, P., Menyhárd, M. & Nordlund, K. What is the real driving force of bilayer ion beam mixing? Nucl. Instrum. Methods Phys. Res. Sect. B Beam Interact. Mater. At. 226, 517–530 (2004)

    2004

Showing first 80 references.