h1

h2

h3

h4

h5
h6
% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@PHDTHESIS{Niersbach:971116,
      author       = {Niersbach, Till Christian},
      othercontributors = {Kargl, Florian and Bührig-Polaczek, Andreas},
      title        = {{A}ssessment of a universal nucleation and crystal growth
                      mechanism in undercooled alloys with orthorhombic
                      {C}r{B}-type structure},
      school       = {Rheinisch-Westfälische Technische Hochschule Aachen},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {RWTH Aachen University},
      reportid     = {RWTH-2023-09478},
      pages        = {1 Online-Ressource : Illustrationen, Diagramme},
      year         = {2023},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University; Dissertation, Rheinisch-Westfälische Technische
                      Hochschule Aachen, 2023},
      abstract     = {Electrostatic (ESL) and electromagnetic (EML) levitation
                      techniques were utilized to investigate the nucleation and
                      crystal growth in binary intermetallic melts, that solidify
                      in CrB-type structure. The high purity alloying and
                      subsequent contact free processing allowed the systems to
                      stay liquid at substantial under coolings below the
                      equilibrium melting temperature. The subsequent nucleation
                      event was observed insitu and the microstructure of the
                      solid sample was analyzed by optical and electron
                      microscopy. EBSD analysis was used to obtain a better
                      understanding through crystal-structure evaluation on the
                      mechanisms at play. Binary, intermetallic (A50B50) alloys
                      were chosen that are supposed to solidify inthe orthorhombic
                      CrB-type crystal structure. The present work bases on a
                      specialnucleation and growth mechanism, found by Kobold in
                      Ni50Zr50. Based on these observations, the
                      Hornfeck-Kobold-Kolbe growth model was developed, which
                      connects a quasi crystalline (QC) core structure with a
                      ten-fold twinned microstructure. According to the model,
                      other n-fold symmetries are possible in CrB-structures
                      alloys, based on their respective lattice parameters. This
                      work assesses a part of these CrB-structured alloys in order
                      to show the universal applicability of this model to
                      orthorhombic systems. Based on the prototype system of NiZr,
                      crucial features are stated, that are necessary for
                      nucleation and growth based on the model. Besides the
                      singular nucleation event and the icosahedral based nucleus
                      structure, especially the orthorhombic unit cell of the
                      CrB-structure (B33 phase) is of importance. It was shown,
                      that the lattice parameter ratio a/b is responsible for the
                      n-fold symmetry, since the twinning boundaries of the model,
                      creating ten differently orientated grains around a
                      pointsymmetric center, run along the diagonal of the unit
                      cell. In this work, systems were chosen, based on the
                      expected n-fold symmetry andit will focus on the
                      investigations of the ten-fold (Ni50Hf50, Ni50Zr25Hf25),
                      nine-fold(Ni50Gd50) and eight-fold (Ni50B50) systems. It
                      will give an analysis on whether their behavior can be
                      described by the proposed growth model and its crucial
                      features.Ni50Hf50 and Ni50Zr25Hf25 were chosen, since Hf and
                      Zr are very similar and almost completely miscible.
                      Additionally, a ten-fold growth was expected. Both systems
                      meet the expectations as most of the crucial features are
                      observed. These systems clearly show a singular nucleation
                      event, the growth front can be observed in situ and
                      connected with the front of the NiZr system. In both
                      systems, a single growth direction is present, with all
                      grains orientated around one common [001] direction. InNiHf
                      however, no singular growth structure could be identified in
                      the microstructureanalysis. Instead, several smaller
                      point-symmetric structures were found, that resemble the
                      symmetric core structure found in NiZr. A solid-solid
                      structural transition was found to disturb the optimal
                      growth. Several nucleation modes are proposed i this work,
                      and described, depending on the exact under cooling and
                      which phase is stable upon nucleation. Only one mode, with
                      the initial nucleation in the orthorhombicB33 phase, and two
                      subsequent solid-solid transitions, can be connected tothe
                      growth model. With the latent heat released during
                      nucleation, the system transitions into the high temperature
                      (HT) B2 phase. Upon cooling, all samples transition (back)
                      into the B33 phase. An initial nucleation in the cubic B2
                      phaseresults in different features, such as multiple growth
                      directions. Despite the twotransitions following the initial
                      B33 nucleation (B33→B2→B33) the microstructurecould
                      preserve the singular growth direction and some of the
                      symmetric structuresthat can be connected to tertiary
                      dendrites of the growth model. In Ni50Zr25Hf25, this effect
                      is not that heavily pronounced. The solid-solid transition
                      is present and itdisturbs the microstructure. However, a
                      singular underlying growth structure can still be identified
                      in the microstructure. Other crucial features are met,
                      according to the model, just as in NiHf.Ni50Gd50 was the
                      first system with a predicted uneven (nine-fold) symmetry.
                      As the model is based on an icosahedral core structure,
                      disturbances in a stable growth were anticipated. But,
                      despite only small undercoolings reached, the system
                      exhibitsa singular common growth direction with several
                      symmetric structures andthe expected grain boundary angle.
                      Only incomplete symmetric structures couldbe found, though.
                      Due to the low undercoolings, modifications had to be made,
                      to explain this microstructure in accordance to the proposed
                      model. A heterogeneous growth front propagates through the
                      melt and symmetric structures are formed regularly due to
                      stacking faults or impurities. These nuclei can act as
                      nucleation sites forthe model’s QC core structure. As
                      these structures have to compete in growth with the general
                      heterogeneous growth front, they take a cylindrical shape
                      and cannot grow through the whole of the sample. This can
                      also explain the deformations andmissing orientations found.
                      With Ni50B50, only small under coolings could be reached. It
                      was however possible,to connect this system to the proposed
                      model. A singular growth, throughout the whole sample, with
                      the expected eight-fold symmetry was observed. The twinning
                      boundaries exhibit the expected grain boundary angle, but
                      are highly distorted and shifted and it was shown, that
                      smaller symmetries shift the atomic arrangements, which, in
                      NiZr, extend almost perfectly along twinning boundaries and
                      impose therefore only a small energy barrier. Other systems
                      were investigated with expected symmetries from 8- to
                      11-fold. They are shortly described in this work and
                      evaluated. Some systems are promising andshould be
                      investigated further, others show no relation to the growth
                      model, e.g.when they solidify in the B2 structure. The
                      proposed nucleation and growth model, based on the NiZr
                      prototype system,was finally assessed, based on presence of
                      the defined crucial features in the investigated systems. It
                      is concluded, that the model can hold as a universal
                      characteristic in the liquid-solid phase transition of
                      CrB-structured alloys. Especially,the grain boundary angle
                      with the twinning boundary running through the diagonal of
                      the unit cell and the directly dependent n-fold symmetry are
                      highly preserved. The growth in a single direction is
                      another crucial feature, that is observed in basically every
                      case. Despite this, it is often difficult to observe the
                      perfect growth structure, as it was found in NiZr. It was
                      shown to be highly dependent on factors, such as solid-solid
                      transitions (Ni50Hf50), inner structural tensions
                      (Ni50B50)or disturbances during the formation of the core
                      structure (Ni50Gd50). Additionally, modifications were
                      implemented to adapt the model to a broad range of
                      nucleation events.},
      cin          = {523620 / 520000},
      ddc          = {620},
      cid          = {$I:(DE-82)523620_20140620$ / $I:(DE-82)520000_20140620$},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.18154/RWTH-2023-09478},
      url          = {https://publications.rwth-aachen.de/record/971116},
}