Elastic (stress-strain) halo associated to ion-induced nano-tracks in lithium niobate: role of crystal anisotropy

The elastic strain/stress fields (halo) around a compressed amorphous nano-track (core) caused by a single high-energy ion impact on LiNbO3 are calculated. A method is developed to approximately account for the effects of crystal anisotropy of LiNbO3 (symmetry 3m) on the stress fields for tracks oriented along the crystal axes (X, Y or Z). It only considers the zero-order (axial) harmonic contribution to the displacement field in the perpendicular plane and uses effective Poisson moduli for each particular orientation. The anisotropy is relatively small; however, it accounts for some differential features obtained for irradiations along the crystallographic axes X, Y and Z. In particular, the irradiation-induced disorder (including halo) and the associated surface swelling appear to be higher for irradiations along the X- or Y-axis in comparison with those along the Z-axis. Other irradiation effects can be explained by the model, e.g. fracture patterns or the morphology of pores after chemical etching of tracks. Moreover, it offers interesting predictions on the effect of irradiation on lattice parameters

Recrystallization of amorphous nano-tracks and uniform layers generated by swift-ion-beam irradiation in lithium niobate.

The thermal annealing of amorphous tracks of nanometer-size diameter generated in lithium niobate (LiNbO3) by Bromine ions at 45 MeV, i.e., in the electronic stopping regime, has been investigated by RBS/C spectrometry in the temperature range from 250°C to 350°C. Relatively low fluences have been used (<1012 cm−2) to produce isolated tracks. However, the possible effect of track overlapping has been investigated by varying the fluence between 3×1011 cm−2 and 1012 cm−2. The annealing process follows a two-step kinetics. In a first stage (I) the track radius decreases linearly with the annealing time. It obeys an Arrhenius-type dependence on annealing temperature with activation energy around 1.5 eV. The second stage (II) operates after the track radius has decreased down to around 2.5 nm and shows a much lower radial velocity. The data for stage I appear consistent with a solid-phase epitaxial process that yields a constant recrystallization rate at the amorphous-crystalline boundary. HRTEM has been used to monitor the existence and the size of the annealed isolated tracks in the second stage. On the other hand, the thermal annealing of homogeneous (buried) amorphous layers has been investigated within the same temperature range, on samples irradiated with Fluorine at 20 MeV and fluences of ∼1014 cm−2. Optical techniques are very suitable for this case and have been used to monitor the recrystallization of the layers. The annealing process induces a displacement of the crystalline-amorphous boundary that is also linear with annealing time, and the recrystallization rates are consistent with those measured for tracks. The comparison of these data with those previously obtained for the heavily damaged (amorphous) layers produced by elastic nuclear collisions is summarily discussed.

Crack mechanical failure in lithium niobate crystal under ion irradiation; novel simulation by extended finite elements

Swift heavy ion irradiation (ions with mass heavier than 15 and energy exceeding MeV/amu) transfer their energy mainly to the electronic system with small momentum transfer per collision. Therefore, they produce linear regions (columnar nano-tracks) around the straight ion trajectory, with marked modifications with respect to the virgin material, e.g., phase transition, amorphization, compaction, changes in physical or chemical properties. In the case of crystalline materials the most distinctive feature of swift heavy ion irradiation is the production of amorphous tracks embedded in the crystal. Lithium niobate is a relevant optical material that presents birefringence due to its anysotropic trigonal structure. The amorphous phase is certainly isotropic. In addition, its refractive index exhibits high contrast with those of the crystalline phase. This allows one to fabricate waveguides by swift ion irradiation with important technological relevance. From the mechanical point of view, the inclusion of an amorphous nano-track (with a density 15% lower than that of the crystal) leads to the generation of important stress/strain fields around the track. Eventually these fields are the origin of crack formation with fatal consequences for the integrity of the samples and the viability of the method for nano-track formation. For certain crystal cuts (X and Y), these fields are clearly anisotropic due to the crystal anisotropy. We have used finite element methods to calculate the stress/strain fields that appear around the ion-generated amorphous nano-tracks for a variety of ion energies and doses. A very remarkable feature for X cut-samples is that the maximum shear stress appears on preferential planes that form +/-45º with respect to the crystallographic planes. This leads to the generation of oriented surface cracks when the dose increases. The growth of the cracks along the anisotropic crystal has been studied by means of novel extended finite element methods, which include cracks as discontinuities. In this way we can study how the length and depth of a crack evolves as function of the ion dose. In this work we will show how the simulations compare with experiments and their application in materials modification by ion irradiation.

Crack mechanical failure in ceramic materials under ion irradiation: case of lithium niobate crystal

Swift heavy ion irradiation (ions with mass heavier than 15 and energy exceeding MeV/amu) transfer their energy mainly to the electronic system with small momentum transfer per collision. Therefore, they produce linear regions (columnar nano-tracks) around the straight ion trajectory, with marked modifications with respect to the virgin material, e.g., phase transition, amorphization, compaction, changes in physical or chemical properties. In the case of crystalline materials the most distinctive feature of swift heavy ion irradiation is the production of amorphous tracks embedded in the crystal. Lithium niobate is a relevant optical material that presents birefringence due to its anysotropic trigonal structure. The amorphous phase is certainly isotropic. In addition, its refractive index exhibits high contrast with those of the crystalline phase. This allows one to fabricate waveguides by swift ion irradiation with important technological relevance. From the mechanical point of view, the inclusion of an amorphous nano-track (with a density 15% lower than that of the crystal) leads to the generation of important stress/strain fields around the track. Eventually these fields are the origin of crack formation with fatal consequences for the integrity of the samples and the viability of the method for nano-track formation. For certain crystal cuts (X and Y), these fields are clearly anisotropic due to the crystal anisotropy. We have used finite element methods to calculate the stress/strain fields that appear around the ion- generated amorphous nano-tracks for a variety of ion energies and doses. A very remarkable feature for X cut-samples is that the maximum shear stress appears on preferential planes that form +/-45º with respect to the crystallographic planes. This leads to the generation of oriented surface cracks when the dose increases. The growth of the cracks along the anisotropic crystal has been studied by means of novel extended finite element methods, which include cracks as discontinuities. In this way we can study how the length and depth of a crack evolves as function of the ion dose. In this work we will show how the simulations compare with experiments and their application in materials modification by ion irradiation.

Particle Patterning on Lithium Niobate waveguides via photovoltaic tweezers

Successful micro and nano-particle patterning on iron doped lithium niobate waveguides using photovoltaic fields is reported. This technique previously used in bulk crystals is here applied to waveguide configuration. Well defined particle patterns are obtained using two types of planar waveguides (by proton exchanged and swift heavy ion irradiation) and metallic and dielectric neutral particles. The use of waveguide configuration has allowed a reduction of the light exposure time until 3 s, two orders of magnitude smaller than typical values used in bulk.

Analysis and optimization of propagation losses in LiNbO3 optical waveguides produced by swift heavy-ion irradiation

The propagation losses (PL) of lithium niobate optical planar waveguides fabricated by swift heavy-ion irradiation (SHI), an alternative to conventional ion implantation, have been investigated and optimized. For waveguide fabrication, congruently melting LiNbO3 substrates were irradiated with F ions at 20 MeV or 30 MeV and fluences in the range 1013–1014 cm−2. The influence of the temperature and time of post-irradiation annealing treatments has been systematically studied. Optimum propagation losses lower than 0.5 dB/cm have been obtained for both TE and TM modes, after a two-stage annealing treatment at 350 and 375∘C. Possible loss mechanisms are discussed.

Calculation of the spatial distribution of photovoltaic field by arbitrary 2D ilumination patterns en LiNbO3; application to photovoltaic particle trapping.

Patterns of evanescent photovoltaic field induced by illumination on a surface of lithium niobate (LN) have been calculated and compared with the experimental patterns of nano- and microparticles trapped by dielectrophoretic forces. A tool for this calculation has been developed. Calculo de distribución espacial de campo por efecto fotovoltaico con patrones arbitrarios de iluminación, en LiNbO3

Optimization and evaluation in space conditions of multi-GHz optical modulators

Among the different optical modulator technologies available such as polymer, III-V semiconductors, Silicon, the well-known Lithium Niobate (LN) offers the best trade-off in terms of performances, ease of use, and power handling capability [1-9]. The LN technology is still widely deployed within the current high data rate fibre optic communications networks. This technology is also the most mature and guarantees the reliability which is required for space applications [9].In or der to fulfil the target specifications of opto-microwave payloads, an optimization of the design of a Mach-Zehnder (MZ) modulator working at the 1500nm telecom wavelength was performed in the frame of the ESA-ARTES "Multi GigaHertz Optical Modulator" (MGOM) project in order to reach ultra-low optical insertion loss and low effective driving voltage in the Ka band. The selected modulator configuration was the X-cut crystal orientation, associated to high stability Titanium in-diffusion process for the optical waveguide. Starting from an initial modulator configuration exhibiting 9 V drive voltage @ 30 GHz, a complete redesign of the coplanar microwave electrodes was carried out in order to reach a 6 V drive voltage @ 30GHz version. This redesign was associated to an optimization of the interaction between the optical waveguide and the electrodes. Following the optimisation steps, an evaluation program was applied on a lot of 8 identical modulators. A full characterisation was carried out to compare performances, showing small variations between the initial and final functional characteristics. In parallel, two similar modulators were submitted to both gamma (10-100 krad) and proton irradiation (10.109 p/cm²) with minor performance degradation.

Electro y dielectroforesis de nanopartículas por efecto fotovoltaico

El objetivo de esta tesis doctoral es la investigación del nuevo concepto de pinzas fotovoltaicas, es decir, del atrapamiento, ordenación y manipulación de partículas en las estructuras generadas en la superficie de materiales ferroeléctricos mediante campos fotovoltaicos o sus gradientes. Las pinzas fotovoltaicas son una herramienta prometedora para atrapar y mover las partículas en la superficie de un material fotovoltaico de una manera controlada. Para aprovechar esta nueva técnica es necesario conocer con precisión el campo eléctrico creado por una iluminación específica en la superficie del cristal y por encima de ella. Este objetivo se ha dividido en una serie de etapas que se describen a continuación. La primera etapa consistió en la modelización del campo fotovoltaico generado por iluminación no homogénea en substratos y guías de onda de acuerdo al modelo de un centro. En la segunda etapa se estudiaron los campos y fuerzas electroforéticas y dielectroforéticas que aparecen sobre la superficie de substratos iluminados inhomogéneamente. En la tercera etapa se estudiaron sus efectos sobre micropartículas y nanopartículas, en particular se estudió el atrapamiento superficial determinando las condiciones que permiten el aprovechamiento como pinzas fotovoltaicas. En la cuarta y última etapa se estudiaron las configuraciones más eficientes en cuanto a resolución espacial. Se trabajó con distintos patrones de iluminación inhomogénea, proponiéndose patrones de iluminación al equipo experimental. Para alcanzar estos objetivos se han desarrollado herramientas de cálculo con las cuales obtenemos temporalmente todas las magnitudes que intervienen en el problema. Con estas herramientas podemos abstraernos de los complicados mecanismos de atrapamiento y a partir de un patrón de luz obtener el atrapamiento. Todo el trabajo realizado se ha llevado a cabo en dos configuraciones del cristal, en corte X ( superficie de atrapamiento paralela al eje óptico) y corte Z ( superficie de atrapamiento perpendicular al eje óptico). Se ha profundizado en la interpretación de las diferencias en los resultados según la configuración del cristal. Todas las simulaciones y experimentos se han realizado utilizando como soporte un mismo material, el niobato de litio, LiNbO3, con el f n de facilitar la comparación de los resultados. Este hecho no ha supuesto una limitación en los resultados pues los modelos no se limitan a este material. Con respecto a la estructura del trabajo, este se divide en tres partes diferenciadas que son: la introducción (I), la modelización del atrapamiento electroforético y dielectroforético (II) y las simulaciones numéricas y comparación con experimentos (III). En la primera parte se fijan las bases sobre las que se sustentarán el resto de las partes. Se describen los efectos electromagnéticos y ópticos a los que se hará referencia en el resto de los capítulos, ya sea por ser necesarios para describir los experimentos o, en otros casos, para dejar constancia de la no aparición de estos efectos para el caso en que nos ocupa y justificar la simplificación que en muchos casos se hace del problema. En esta parte, se describe principalmente el atrapamiento electroforético y dielectroforético, el efecto fotovoltaico y las propiedades del niobato de litio por ser el material que utilizaremos en experimentos y simulaciones. Así mismo, como no debe faltar en ninguna investigación, se ha analizado el state of the art, revisando lo que otros científicos del campo en el que estamos trabajando han realizado y escrito con el fin de que nos sirva de cimiento a la investigación. Con el capítulo 3 finalizamos esta primera parte describiendo las técnicas experimentales que hoy en día se están utilizando en los laboratorios para realizar el atrapamiento de partículas mediante el efecto fotovoltaico, ya que obtendremos ligeras diferencias en los resultados según la técnica de atrapamiento que se utilice. En la parte I I , dedicada a la modelización del atrapamiento, empezaremos con el capítulo 4 donde modelizaremos el campo eléctrico interno de la muestra, para a continuación modelizar el campo eléctrico, los potenciales y las fuerzas externas a la muestra. En capítulo 5 presentaremos un modelo sencillo para comprender el problema que nos aborda, al que llamamos Modelo Estacionario de Separación de Carga. Este modelo da muy buenos resultados a pesar de su sencillez. Pasamos al capítulo 6 donde discretizaremos las ecuaciones que intervienen en la física interna de la muestra mediante el método de las diferencias finitas, desarrollando el Modelo de Distribución de Carga Espacial. Para terminar esta parte, en el capítulo 8 abordamos la programación de las modelizaciones presentadas en los anteriores capítulos con el fn de dotarnos de herramientas para realizar las simulaciones de una manera rápida. En la última parte, III, presentaremos los resultados de las simulaciones numéricas realizadas con las herramientas desarrolladas y comparemos sus resultados con los experimentales. Fácilmente podremos comparar los resultados en las dos configuraciones del cristal, en corte X y corte Z. Finalizaremos con un último capítulo dedicado a las conclusiones, donde resumiremos los resultados que se han ido obteniendo en cada apartado desarrollado y daremos una visión conjunta de la investigación realizada. ABSTRACT The aim of this thesis is the research of the new concept of photovoltaic or optoelectronic tweezers, i.e., trapping, management and manipulation of particles in structures generated by photovoltaic felds or gradients on the surface of ferroelectric materials. Photovoltaic tweezers are a promising tool to trap and move the particles on the surface of a photovoltaic material in a monitored way. To take advantage of this new technique is necessary to know accurately the electric field created by a specifc illumination in the crystal surface and above it. For this purpose, the work was divided into the stages described below. The first stage consisted of modeling the photovoltaic field generated by inhomogeneous illumination in substrates and waveguides according to the one-center model. In the second stage, electrophoretic and dielectrophoretic fields and forces appearing on the surface of substrates and waveguides illuminated inhomogeneously were studied. In the third stage, the study of its effects on microparticles and nanoparticles took place. In particular, the trapping surface was studied identifying the conditions that allow its use as photovoltaic tweezers. In the fourth and fnal stage the most efficient configurations in terms of spatial resolution were studied. Different patterns of inhomogeneous illumination were tested, proposing lightning patterns to the laboratory team. To achieve these objectives calculation tools were developed to get all magnitudes temporarily involved in the problem . With these tools, the complex mechanisms of trapping can be simplified, obtaining the trapping pattern from a light pattern. All research was carried out in two configurations of crystal; in X section (trapping surface parallel to the optical axis) and Z section (trapping surface perpendicular to the optical axis). The differences in the results depending on the configuration of the crystal were deeply studied. All simulations and experiments were made using the same material as support, lithium niobate, LiNbO3, to facilitate the comparison of results. This fact does not mean a limitation in the results since the models are not limited to this material. Regarding the structure of this work, it is divided into three clearly differentiated sections, namely: Introduction (I), Electrophoretic and Dielectrophoretic Capture Modeling (II) and Numerical Simulations and Comparison Experiments (III). The frst section sets the foundations on which the rest of the sections will be based on. Electromagnetic and optical effects that will be referred in the remaining chapters are described, either as being necessary to explain experiments or, in other cases, to note the non-appearance of these effects for the present case and justify the simplification of the problem that is made in many cases. This section mainly describes the electrophoretic and dielectrophoretic trapping, the photovoltaic effect and the properties of lithium niobate as the material to use in experiments and simulations. Likewise, as required in this kind of researches, the state of the art have been analyzed, reviewing what other scientists working in this field have made and written so that serve as a foundation for research. With chapter 3 the first section finalizes describing the experimental techniques that are currently being used in laboratories for trapping particles by the photovoltaic effect, because according to the trapping technique in use we will get slightly different results. The section I I , which is dedicated to the trapping modeling, begins with Chapter 4 where the internal electric field of the sample is modeled, to continue modeling the electric field, potential and forces that are external to the sample. Chapter 5 presents a simple model to understand the problem addressed by us, which is called Steady-State Charge Separation Model. This model gives very good results despite its simplicity. In chapter 6 the equations involved in the internal physics of the sample are discretized by the finite difference method, which is developed in the Spatial Charge Distribution Model. To end this section, chapter 8 is dedicated to program the models presented in the previous chapters in order to provide us with tools to perform simulations in a fast way. In the last section, III, the results of numerical simulations with the developed tools are presented and compared with the experimental results. We can easily compare outcomes in the two configurations of the crystal, in section X and section Z. The final chapter collects the conclusions, summarizing the results that were obtained in previous sections and giving an overview of the research.

Molecular Dynamics Simulations of Lead and Lithium in Liquid Phase

Pb17Li is today a reference breeder material in diverse fusion R&D programs worldwide. Extracting dynamic and structural properties of liquid LiPb mixtures via molecular dynamics simulations, represent a crucial step for multiscale modeling efforts in order to understand the suitability of this compound for future Nuclear Fusion technologies. At present a Li-Pb cross potential is not available in the literature. Here we present our first results on the validation of two semi-empirical potentials for Li and Pb in liquid phase. Our results represent the establishment of a solid base as a previous but crucial step to implement a LiPb cross potential. Structural and thermodynamical analyses confirm that the implemented potentials for Li and Pb are realistic to simulate both elements in the liquid phase.

Uncertainty assessment methodologies applied to Tritium production in fusion lithium breeding blankets

- Need of Tritium production - Neutronic objectives - The Frascati experiment - Measurements of Tritium activity

Liquid lead and Lithium. A Comprehensive molecular dynamics study

Pb17Li is today a reference breeder material in diverse fusion R&D programs worldwide. One of the main issues in these programs is the problem of liquid metals breeder blanket behavior. Structural material of the blanket should meet high requirements because of extreme operating conditions. Therefore the knowledge of eutectic properties like optimal composition, physical and thermodynamic behavior or diffusion coefficients of Tritium are extremely necessary for current designs. In particular, the knowledge of the function linking the tritium concentration dissolved in liquid materials with the tritium partial pressure at a liquid/gas interface in equilibrium, CT=f(PT), is of basic importance because it directly impacts all functional properties of a blanket determining: tritium inventory, tritium permeation rate and tritium extraction efficiency. Nowadays, understanding the structure and behavior of this compound is a real goal in fusion engineering and materials science. Simulations of liquids can provide much information to the community; not only supplementing experimental data, but providing new tests of theories and ideas, making specific predictions that require experimental tests, and ultimately helping to lead to the deeper understanding and better predictive behavior.

Molecular dynamics simulations of lead and lithium in liquid phase

Pb17Li is today a reference breeder material in diverse fusion R&D programs worldwide. Extracting dynamic and structural properties of liquid LiPb mixtures via molecular dynamics simulations, represent a crucial step for multiscale modeling efforts in order to understand the suitability of this compound for future Nuclear Fusion technologies. At present a Li-Pb cross potential is not available in the literature. Here we present our first results on the validation of two semi-empirical potentials for Li and Pb in liquid phase. Our results represent the establishment of a solid base as a previous but crucial step to implement a LiPb cross potential. Structural and thermodynamical analyses confirm that the implemented potentials for Li and Pb are realistic to simulate both elements in the liquid phase.

New simulations to qualify eutectic lithium-lead as breeder material

Pb17Li is today a reference breeder material in diverse fusion R&D programs worldwide. One of the main issues is the problem of liquid metals breeder blanket behavior. The knowledge of eutectic properties like optimal composition, physical and thermodynamic behavior or diffusion coefficients of Tritium are extremely necessary for current designs. In particular, the knowledge of the function linking the tritium concentration dissolved in liquid materials with the tritium partial pressure at a liquid/gas interface in equilibrium, CT =f(PT ), is of basic importance because it directly impacts all functional properties of a blanket determining: tritium inventory, tritium permeation rate and tritium extraction efficiency. Nowadays, understanding the structure and behavior of this compound is a real goal in fusion engineering and materials science. Atomistic simulations of liquids can provide much information; not only supplementing experimental data, but providing new tests of theories and ideas, making specific predictions that require experimental tests, and ultimately helping to a deeper understanding

Studies of a Self Cooled Lead Lithium blanket for HiPER Reactor

Within the frame of the HiPER reactor, we propose and study a Self Cooled Lead Lithium blanket with two different cooling arrangements of the system First Wall – Blanket for the HiPER reactor: Integrated First Wall Blanket and Separated First Wall Blanket. We compare the two arrangements in terms of power cycle efficiency, operation flexibility in out-off-normal situations and proper cooling and acceptable corrosion. The Separated First Wall Blanket arrangement is superior in all of them, and it is selected as the advantageous proposal for the HiPER reactor blanket. However, it still has to be improved from the standpoint of proper cooling and corrosion rates