N. Eustathopoulos’s research while affiliated with Grenoble Alpes University and other places

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Publications (244)


Oxygen incorporation in directional solidification of photovoltaic silicon: Experimental facts and modeling
  • Article

October 2021

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26 Reads

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2 Citations

Acta Materialia

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B. Drevet

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E. Fayard

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N. Eustathopoulos

Oxygen, an usual impurity of photovoltaic silicon, is known to be detrimental for the electrical performances of this material. In this investigation, solidification experiments are performed in coated silica crucibles in order to study the influence of crucible size, crucible coating, argon flow and crucible material on silicon contamination by oxygen. In order to interpret the results, an analytical, semi-quantitative model is established taking into account two oxygen flows: the contamination flow at the crucible/silicon interface and the evacuation flow at the silicon free surface.


Directional solidification of photovoltaic silicon in re-useable graphite crucibles

September 2020

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67 Reads

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16 Citations

Solar Energy Materials and Solar Cells

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E. Cierniak

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B. Drevet

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[...]

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N. Eustathopoulos

Graphite crucibles are potentially interesting for the directional solidification processing of photovoltaic silicon, because, contrarily to standard silica crucibles, they can be used many times. In the present work, two types of graphite crucibles are studied: i) graphite directly coated with the Si3N4 powder classically used as a releasing layer for standard silica crucibles, and ii) graphite protected by a dense SiC layer before deposition of the releasing coating. In both cases, spontaneous detachment of the silicon ingot is observed to occur during cooling. Results are given and discussed concerning the impurities introduced in the silicon during the melting-solidification cycle, as well as their consequences on the photo-electrical characteristics of silicon. These results are compared with those obtained using the standard silica crucible. It is shown that re-useable SiC protected graphite crucibles lead to the same performances as standard silica. Reproducible results are found after four runs with the same crucible, and no degradation of the crucible is observed.


Sketch of a coated silica crucible used in directional solidification of photovoltaic Si showing silicon infiltration from the bulk silicon/coating interface (arrow A) and infiltration above the silicon surface by formation of a surface film (arrow B) followed by infiltration below it (arrow C). δL is the thickness of the solute boundary layer at the crucible/Si interface
Top views of three sessile drops on different coated substrates (silica or silicided graphite) with different oxidation temperatures Tox
Logarithmic representation of the dependence between SiO and CO partial pressures for the three reactions indicated on the figure at 1700 K
View of photovoltaic silicon ingot crystallized in a coated silicided graphite crucible consisted of assembled plates. The ingot section is 34.1 × 34.1 cm²
Types of graphite substrates (referenced C) considered in the study: non-coated (a), coated with porous silicon nitride (b) and coated with porous silicon nitride after prior silicidation (c)

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Study of interactions between silicon and coated graphite for application to photovoltaic silicon processing
  • Article
  • Publisher preview available

September 2019

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1,263 Reads

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10 Citations

Journal of Materials Science

The crystallization of silicon for photovoltaic applications is currently performed by directional solidification in amorphous silica crucibles. In order to avoid sticking, silica crucibles are coated with a layer of silicon nitride which acts as an interface releasing agent between the silicon and the crucible. Due to silica softening and subsequent transformations during the melting-solidification cycle, Si3N4-coated silica crucibles can be used only one time. A more interesting solution would be to have a graphite crucible which could be used several times in view of its high mechanical performances at elevated temperatures. The goal of this study is to determine in which way the Si3N4 coating can also be used for graphite crucibles. The study is conducted by means of the sessile drop technique and microstructure characterizations carried out by optical microscopy. For comparison purposes, experiments are also performed for the standard configuration of Si3N4-coated silica.

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The crucible/silicon interface in directional solidification of photovoltaic silicon

March 2017

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116 Reads

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25 Citations

Acta Materialia

Photovoltaic silicon ingots are currently grown in silica crucibles coated with a porous silicon nitride layer which acts as an interface releasing agent between the silicon and the crucible. The interactions between Si and the Si3N4 coating determine the infiltration and sticking phenomena occurring at the interface and also affect the pollution of Si by the components of the coating. In this investigation the interfacial interactions and microstructure are studied in crystallization experiments performed in crucibles involving high silicon masses (tens of kg) and long contact time between the silicon and the coated silica (tens of hours). It is shown that for long times, a dramatic change in the nature of the coating/Si interface takes place, with the formation of a self-crucible which prevents the direct contact between the silicon and the coating. The stability of the self-crucible is modeled taking into account the capillary and hydrostatic pressures. The influence of the self-crucible on different practical aspects of the photovoltaic silicon crystallization process is discussed.


Chemical stability of silicon nitride coatings used in the crystallization of photovoltaic silicon ingots. Part II: Stability under argon flow

July 2016

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44 Reads

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14 Citations

Journal of the European Ceramic Society

Processing of photovoltaic silicon by solidification is currently carried out under argon flow in silica crucibles coated with an oxidized silicon nitride powder. A series of experiments was performed to study the reactions between coating components under argon flow by varying the temperature, the holding time and the oxygen content in the coating. The results are discussed with the help of a simple analytical model taking into account the diffusive transport of gaseous reaction species from the inside of the porous coating to the flowing argon. The conclusions drawn are used to discuss different practical aspects of the photovoltaic silicon crystallization process.


Chemical stability of silicon nitride coatings used in the crystallization of photovoltaic silicon ingots. Part I: Stability in vacuum

July 2016

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57 Reads

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17 Citations

Journal of the European Ceramic Society

Photovoltaic silicon is currently grown in silica crucibles coated with an oxidized silicon nitride powder, which acts as an interface releasing agent between the silicon and the crucible. A series of experiments was performed to study the reactions between coating components under high vacuum, varying the temperature, the holding time and the oxygen content in the coating. The results are discussed with the help of a simple analytical model taking into account the diffusive transport of reaction species from the inside of the porous coating to its surface and then their evaporation into the vapour phase.


Capillarity in the processing of photovoltaic silicon

February 2016

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355 Reads

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13 Citations

Journal of Materials Science

Processing of photovoltaic quality silicon (PV Si) starting from metallurgical Si involves contact between liquid silicon and the refractory materials used as crucibles for melting and crystallisation. The interactions (i.e. wetting, infiltration and sticking) between silicon and two types of crucible used in the course of PV Si processing, namely graphite and coated silica, are described and interpreted. A model of the wetting and infiltration phenomena, coupling thermodynamics and kinetics, is used to analyse the influence of the main parameters of the material (microstructure, chemistry) and the process (temperature and atmosphere). Examples are given of the ways to use the understanding of elementary processes at silicon/crucible interfaces in order to select crucible material and determine the desired process parameters.



The Role of Reactivity in Wetting by Liquid Metals: A Review

September 2015

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178 Reads

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88 Citations

Journal of Materials Science

The wettability of ceramic and metallic solids by liquid metals is discussed with emphasis on the effect of interfacial reactions on the spreading kinetics and the final degree of wetting. Two types of reaction are considered, simple dissolution of the solid in the liquid and dissolution followed by formation of a new compound at the interface. The review includes results obtained during the last 15 years mainly by the Grenoble group.


Citations (68)


... Elsewhere [1,[14][15][16] a relationship has been proposed linking the average particle size to the material properties and the atomization process parameters as shown in Eq. (1). Eq. (1) is also dependent on the atmosphere as surface tension relies on the interaction between the liquid and the gas which can also be affected by oxidation [17]: ...

Reference:

Centrifugal atomization of stainless-steel rotating rods melted by a high-power LASER beam
Tension superficielle des métaux liquides et capillarité
  • Citing Article
  • September 2017

... The α-Si3N4 coating acts as an interfacial releasing agent, ensuring the effective detachment of the Si ingot from the crucible. However, during actual production of PV Si, the harsh service environment with high temperatures (>1460 °C) and long duration (> 40 h), demand high properties of fused silica crucibles [1][2][3][4]. On the one hand, amorphous SiO2 undergoes crystallization with transformation into β-cristobalite at Si melting point (1414 °C), then transforms into α-cristobalite during cooling (267 °C). ...

Oxygen incorporation in directional solidification of photovoltaic silicon: Experimental facts and modeling
  • Citing Article
  • October 2021

Acta Materialia

... The α-Si3N4 coating acts as an interfacial releasing agent, ensuring the effective detachment of the Si ingot from the crucible. However, during actual production of PV Si, the harsh service environment with high temperatures (>1460 °C) and long duration (> 40 h), demand high properties of fused silica crucibles [1][2][3][4]. On the one hand, amorphous SiO2 undergoes crystallization with transformation into β-cristobalite at Si melting point (1414 °C), then transforms into α-cristobalite during cooling (267 °C). ...

Directional solidification of photovoltaic silicon in re-useable graphite crucibles
  • Citing Article
  • September 2020

Solar Energy Materials and Solar Cells

... More recently, several new concepts for graphite [10][11][12] and Si 3 N 4 -based [13][14][15][16][17][18] crucibles for the growth of multi-crystalline silicon ingots were presented, which underlines the potential to use these materials in crucible setups during Si crystal growth. ...

Study of interactions between silicon and coated graphite for application to photovoltaic silicon processing

Journal of Materials Science

... The reactions that take place at the liquid-coating interface such as dissolution of coating components into the melt have been extensively investigated by Refs. [1,9] on a quartz substrate, and by Ref. [10] on graphite substrates. These reactions can significantly affect the wetting and infiltration of liquid silicon as reported by Ref. [9]. ...

The crucible/silicon interface in directional solidification of photovoltaic silicon
  • Citing Article
  • March 2017

Acta Materialia

... Some studies have reported on the Si 3 N 4 coating stability and the mechanisms of SiO 2 reduction under vacuum and argon atmosphere at the melting temperature of silicon [7,8]. They have suggested that the coating deoxidizes due to the reaction between Si 3 N 4 and SiO 2 (self-reduction reaction), which results in nitrogen and SiO gases evolution. ...

Chemical stability of silicon nitride coatings used in the crystallization of photovoltaic silicon ingots. Part II: Stability under argon flow
  • Citing Article
  • July 2016

Journal of the European Ceramic Society

... Some studies have reported on the Si 3 N 4 coating stability and the mechanisms of SiO 2 reduction under vacuum and argon atmosphere at the melting temperature of silicon [7,8]. They have suggested that the coating deoxidizes due to the reaction between Si 3 N 4 and SiO 2 (self-reduction reaction), which results in nitrogen and SiO gases evolution. ...

Chemical stability of silicon nitride coatings used in the crystallization of photovoltaic silicon ingots. Part I: Stability in vacuum
  • Citing Article
  • July 2016

Journal of the European Ceramic Society

... One of the serious problems for the glass molding or imprinting process is the fatal damage of glass and/or mold during demolding due to the chemical or physical adhesion of the glass to the mold. Several approaches were reported to reveal the glass molding process such as the numerical simulation for a compression and deformation of glass [4,5], wettability of molten glass on a heated metal [6,7], thermal and chemical durability of release film coated on the mold [8][9][10], surface roughness of mold affecting its adhesion to a glass [11,12], and thermal conductivities of glass and mold [13]. The origins of adhesion between a glass and a mold can be classified into the chemical and physical interactions. ...

Influence of glass/mould interfaces on sticking
  • Citing Article
  • March 2005

Glass Science and Technology -Frankfurt am Main-

... As the outcome of the surface tension, the fluid forms the shape with the minimum surface area with respect to the volume factor [7]. The surface tension parameter plays a vital role in many industrial metallurgical processes, which is contributed to by the field phase [8]. Nowadays, measurement of the surface tension is possible using many techniques, which can be classified into one of the following groups: direct microbalance measurement (Wilhelmy plate, Du Nouya ring), capillary pressure measurement (maximum bubble pressure, growing drop), analysis of capillary-gravity forces (capillary rise, drop volume), gravity-distorted drops (pendant drop, sessile drop), and reinforced distortion of the drop (spinning drop, micropipette) [9,10]. ...

The wetting process in brazing
  • Citing Chapter
  • March 2013

... The resultant force from F1 and F3 causes a net flow with the increased velocity in the downward direction (F2 is neglected because the PDA solid microspheres have high hydrophilicity). [222,223] Thus, the pristine PVDF membrane exhibited the lowest permeate flux (8.4 L m −2 h −1 ) and increased with the PDA addition to 8.4 L m −2 h −1 . Further, these PDA/PVDF films also have applications in biomedical fields. ...

Capillarity in the processing of photovoltaic silicon

Journal of Materials Science