Effect of sample geometry on regression rate of the melting interface for carbon steel burned in oxygen

Promoted-ignition testing on carbon steel rods of varying cross-sectional area and shape was performed in high pressure oxygen to assess the effect of sample geometry on the regression rate of the melting interface. Cylindrical and rectangular geometries and three different cross sections were tested and the regression rates of the cylinders were compared to the regression rates of the rectangular samples at test pressures around 6.9 MPa. Tests were recorded and video analysis used to determine the regression rate of the melting interface by a new method based on a drop cycle which was found to provide a good basis for statistical analysis and provide excellent agreement to the standard averaging methods used. Both geometries tested showed the typical trend of decreasing regression rate of the melting interface with increasing cross-sectional area; however, it was shown that the effect of geometry is more significant as the sample's cross sections become larger. Discussion is provided regarding the use of 3.2-mm square rods rather than 3.2-mm cylindrical rods within the standard ASTM test and any effect this may have on the observed regression rate of the melting interface.

Reflection of structural waves at a solid/liquid interface

This paper investigates the reflection characteristics of structural or guided waves in rods at a solid/liquid interface. Structural waves, whose wavelengths are much larger than the diameter of the rod, are described in a first approximation by classical one-dimensional wave theory. The reflection characteristics of such waves at a solid/liquid (melting) interface has been reported by two different ultrasonic measurement techniques: first, measuring the fast regression rate of a melting interface during the burning of metal rod samples in an oxygen-enriched environment, and second, monitoring the propagation of the solid/liquid interface during the slow melting and solidification of a rod sample in a furnace. The second work clearly shows that the major reflection occurs from the solid/liquid interface and not the liquid/gas interface as predicted by plane longitudinal wave reflectivity theory. The present work confirms this observation by reporting on the results of some specially designed experiments to identify the main interface of reflection for structural waves in rods. Hence, it helps in explaining the fundamental discrepancy between the reflection characteristics at a solid/liquid interface between low frequency structural waves and high frequency bulk waves, and confirms that the detected echo within a burning metallic rod clearly represents a reflection from the solid/liquid interface. (C) 2003 Elsevier Science B.V. All rights reserved.

Ultrasonic measurement technique of burning metals in normal and reduced gravity

The in situ real time measurement of the regression rate of a melting interface (RRMI) is performed by the ultrasonic measurement system reported here. The RRMI is the rate at which a solid/liquid interface (SLI) moves along a metallic rod while burning in an oxygen-enriched atmosphere and is an important flatnmability indicator. The ultrasonic transducer and associated equipment used to drive the transducer and record the echo signal is described, along with the process that transforms the acquired signals into a RRMI value. Test rods of various metals and geometric shapes were burned at several test conditions in different test facilities. The RRMI results with quantified errors are presented and reviewed. The effect of reduced gravity on burning metals is important to space-applications and RRMI results obtained in a reduced gravity environment are also presented.

Instantaneous RRMI of iron rods in reduced gravity

Standard upward-burning promoted ignition tests (“Standard Test Method for Determining the Combustion Behavior of Metallic Materials in Oxygen-Enriched Atmospheres,” ASTM G4-124 [1] or “Flammability, Odor, Offgassing, and Compatibility Requirements and Test Procedures for Materials in Environments that Support Combustion,” NASA-STD-6001, NASA Test 17 [2]) were performed on cylindrical iron (99.95% pure) rods in various oxygen purities (95.0–99.98%) in reduced gravity onboard NASA JSC's KC-135 to investigate the effect of gravity on the regression rate of the melting interface. Visual analysis of experiments agrees with previous published observations showing distinct motions of the molten mass attached to the solid rod during testing. Using an ultrasonic technique to record the real-time rod length, comparison of the instantaneous regression rate of the melting interface and visual recording shows a non-steady-state regression rate of the melting interface for the duration of a test. Precessional motion is associated with a higher regression rate of the melting interface than for test periods in which the molten mass does not show lateral motion. The transition between the two types of molten mass motion during a test was accompanied by a reduced regression rate of the melting interface, approximately 15–50% of the average regression rate of the melting interface for the entire test.

Contact melting of a three-dimensional phase change material on a flat substrate

In this paper a model is developed to describe the three dimensional contact melting process of a cuboid on a heated surface. The mathematical description involves two heat equations (one in the solid and one in the melt), the Navier-Stokes equations for the flow in the melt, a Stefan condition at the phase change interface and a force balance between the weight of the solid and the countering pressure in the melt. In the solid an optimised heat balance integral method is used to approximate the temperature. In the liquid the small aspect ratio allows the Navier-Stokes and heat equations to be simplified considerably so that the liquid pressure may be determined using an igenfunction expansion and finally the problem is reduced to solving three first order ordinary differential equations. Results are presented showing the evolution of the melting process. Further reductions to the system are made to provide simple guidelines concerning the process. Comparison of the solutions with experimental data on the melting of n-octadecane shows excellent agreement.

Growth and melting of the nematic phase: sample thickness dependence of the Mullins-Sekerka instability

In this article we report our systematic studies of the dependence on the sample thickness of the onset parameters of the instability of the nematic-isotropic interface during directional growth and melting, in homeotropic or planar anchoring.

Secretory IgA and intestinal epithelial cells at the interface between homeostasis regulation and protection against infection

RESUME DESTINE A UN LARGE PUBLICL'intestin est le siège d'intenses agressions de la part de l'ensemble des aliments ingérés, de bactéries agressives dites pathogènes mais également de bactéries dites commensales peuplant naturellement les surfaces intestinales muqueuses. Pour faire face, notre organisme arbore de nombreux niveaux de protections tant physiques, chimiques, mécaniques mais aussi immunitaires. La présence d'un type particulier de cellules, les cellules épithéliales (IEC) assurant une protection physique, ainsi que la production d'anticorps spécialisés par le système immunitaire appelés immunoglobulines sécrétoires A (SlgA) servent conjointement de première ligne de défense contre ces agressions externes. Néanmoins, comment le dialogue s'articule entre ces deux partenaires reste incomplet.Nous avons donc décidé de mimer ces interactions en modélisant les surfaces muqueuses par une monocouche de cellules différenciées en laboratoire. Des souches bactériennes isolées de l'intestin humain seules ou associées à des SlgA non-spécifiques ont été mises au contact de ce modèle cellulaire nous permettant de conclure quant à la présence effective d'une modulation du dialogue bactérie/lEC impliquant une activation de la réponse cellulaire vers un état de tolérance mutuelle. De façon surprenante, nous avons par ailleurs mis en évidence un type d'interaction nouveau entre ces anticorps et ces bactéries. Une étude biochimique nous a permis de détailler un nouveau rôle des SlgA médié par les sucres présents à leur surface dans le maintien d'une relation pacifique avec les commensaux perpétuellement présents, relations qualifiées d'homésostase intestinale.Le rôle protecteur des SlgA a par ailleurs été abordé pour avoir une meilleure appréhension de leur impact au niveau cellulaire lors d'infection par Shigella flexneri, bactérie causant la Shigellose, diarrhée sanglante responsable de la mort de plus d'un million de personnes chaque année. Basée sur le même modèle cellulaire, cette étude nous a permis de démontrer une nouvelle entrée de ce pathogène directement via les IEC. La présence d'anticorps spécifiques à la surface des bactéries restreint leur champs d'action contre les cibles intracellulaires identifiées que sont les filaments soutenant le squelette de la cellule, les fibres d'actine ainsi que les jonctions serrées, réseaux de protéines clés des interactions entre cellules. Cette ouverture au niveau cellulaire apporte un nouvel élan quant à la compréhension du rôle protecteur des SlgA lors d'attaques de l'intestin, protection semblant dépendante d'une agrégation des bactéries.Pour finir, nous avons mis en évidence la détection directe par les cellules de la présence d'anticorps libres dans l'intestin ajoutant une nouvelle réplique dans le dialogue complexe entre ces deux piliers de l'équilibre intestinal que sont les SlgA et les cellules épithéliales.RESUMELa muqueuse intestinale est dotée d'un réseau complexe de protections physico-chimiques, mécaniques ou immunologiques. Associées à un système immunitaire omniprésent, les cellules épithéliales intestinales {IEC) bordant la lumière intestinale ont la double tâche de protéger l'intérieur de l'organisme stérile contre l'invasion et la dissémination d'agents pathogènes, et de maintenir une relation pacifique avec la flore intestinale, rôles également joués par les immunoglobulines sécrétoires A (SlgA), anticorps les plus abondamment présents à la surface des muqueuses. Tant les IEC que les SlgA sont ainsi décrites comme convergeant vers le même objectif ; néanmoins, les rouages de leurs interactions restent largement inconnus.Pour répondre à cette question, des monocouches épithéliales reconstituées in vitro ont été incubées avec des souches commensales telles que des Lactobacillus ou des Bifodobacteria, seules ou complexées avec des SlgA non-spécifiques, nous permettant de décrypter l'influence des SlgA sur la détection des bactéries par les IEC, favorisant l'adhésion bactérienne et la cohésion cellulaire, augmentant l'activation de la voie NF-κΒ ainsi que la sécrétion de la cytokine thymic stromal lymphopoietin contrairement à celle de médiateurs pro-inflammatoires qui reste inchangée. Par ailleurs, une interaction Fab-indépendante est suggérée dans l'interaction SlgA/bactéries. Comme une interaction de faible affinité a été décrite comme prenant naturellement place au niveau de l'intestin, nous avons donc disséqué les mécanismes sous- jacents en utilisant un large spectre de bactérie associés à des protéines soit recombinantes soit isolées à partir de colostrum, mettant en évidence un rôle crucial des N-glycanes présents sur la pièce sécrétoire et soulignant une nouvelle propriété des SlgA dans l'homéostase intestinale.Intrinsèquement liés aux caractéristiques des SlgA, nous nous sommes également focalisés sur leur rôle protecteur lors d'infection par l'enteropathogène Shigella flexneri reproduites in vitro sur des monocouches polarisées. Nous avons tout d'abord démontré une nouvelle porte d'entrée pour ce pathogène directement via les IEC. L'agrégation des bactéries par les SlgA confère aux cellules une meilleure résistance à l'infection, retardant croissance bactérienne et entrée cellulaire, affectant par ailleurs leur capacité à cibler le cytosquelette et les jonctions serrées. La formation de tels cargos détectés de façon biaisée par les IEC apparaît comme une explication plausible au maintien de la cohésion cellulaire médiée par les SlgA.Enfin, le retrotransport des SlgA à travers les IEC a été abordé soulignant une participation active de ces cellules dans la détection de l'environnement extérieur, les impliquant possiblement dans l'activation d'un état muqueux stable.Conjointement, ces résultats indiquent que les SlgA représentent l'un des éléments-clés à la surface de la muqueuse et soulignent la complexité du dialogue établi avec l'épithélium en vue du maintien d'un fragile équilibre intestinal.ABSTRACTThe intestinal mucosa is endowed with a complex protective network melting physiochemical, mechanical and immunological features. Beyond the ubiquitous intestinal immune system, intestinal epithelial cells (IEC) lying the mucosal surfaces have also the dual task to protect the sterile core against invasion and dissemination of pathogens, and maintain a peaceful relationship with commensal microorganisms, aims also achieved by the presence of high amounts of secretory immunoglobulins A (SlgA), the most abundant immunoglobulin present at mucosal surfaces. Both IEC and SlgA are thus described to converge toward the same goal but how their interplay is orchestrated is largely unknown.To address this question, in vitro reconstituted IEC monolayers were first apically incubated with commensal bacteria such as Lactobacillus or Bifodobacteria strains either alone or in complexes with non-specific SlgA. Favoring the bacterial adhesion and cellular cohesion, SlgA impacts on the cellular sensing of bacteria, increasing NF-κΒ activation, and leading to cytokine releases restricted to the thymic stromal lymphopoietin and unaffected expression of pro-inflammatory mediators. Of main interest, bacterial recognition by SlgA suggested a Fab-independent interaction. As this low affinity, called natural coating occurs in the intestine, we further dissected the underlying mechanisms using a larger spectrum of commensal strains associated with recombinant as well as colostrum-derived proteins and pinpointed a crucial role of N-glycans of the secretory component, emphasizing an underestimated role of carbohydrates and another properties of SlgA in mediating intestinal homeostasis.As mucosal protection is also anchored in SlgA and IEC features, we focused on the cellular role of SlgA. Using IEC apical infection by the enteropathogen Shigella flexneri, we have first demonstrated a new gate of entry for this pathogen directly via IEC. Specific SlgA bacterial aggregation conferred to the cells a better resistance to infection, delaying bacterial growth and cellular entry, affecting their ability to damage both the cytoskeleton and the tight junctions. Formation of such big cargos differentially detected by IEC appears as a plausible explanation sustaining at the cellular level the antibody-mediated mucosal protection.Finally, SlgA retrotransport across IEC has been tackled stressing an active IEC sensing of the external environment possibly involved in the steady-state mucosal activation.All together, these results indicate that SlgA represents one of the pivotal elements at mucosal surfaces highlighting the complexity of the dialogue established with the epithelium sustaining the fragile intestinal balance.The Intestinal mucosa is endowed with a complex protective network melting physiochemical, mechanical and immunological features. Beyond the ubiquitous intestinal immune system, intestinal epithelial cells (IEC) lying the mucosal surfaces have also the dual task to protect the sterile core against invasion and dissemination of pathogens, and maintain a peaceful relationship with commensal microorganisms, aims also achieved by the presence of high amounts of secretory immunoglobulins A (SlgA), the most abundant immunoglobulin present at mucosal surfaces. Both IEC and SlgA are thus described to converge toward the same goal but how their interplay is orchestrated is largely unknown.To address this question, in vitro reconstituted IEC monolayers were first apically incubated with commensal bacteria such as Lactobacillus or Bifodobacteria strains either alone or in complexes with non-specific SlgA. Favoring the bacterial adhesion and cellular cohesion, SlgA impacts on the cellular sensing of bacteria, increasing NF-κΒ activation, and leading to cytokine releases restricted to the thymic stromal lymphopoietin and unaffected expression of pro-inflammatory mediators. Of main interest, bacterial recognition by SlgA suggested a Fab-independent interaction. As this low affinity, called natural coating occurs in the intestine, we further dissected the underlying mechanisms using a larger spectrum of commensal strains associated with recombinant as well as colostrum-derived proteins and pinpointed a crucial role of N-glycans of the secretory component, emphasizing an underestimated role of carbohydrates and another properties of SlgA in mediating intestinal homeostasis.As mucosal protection is also anchored in SlgA and IEC features, we focused on the cellular role of SlgA. Using IEC apical infection by the enteropathogen Shigella flexneri, we have first demonstrated a new gate of entry for this pathogen directly via IEC. Specific SlgA bacterial aggregation conferred to the cells a better resistance to infection, delaying bacterial growth and cellular entry, affecting their ability to damage both the cytoskeleton and the tight junctions. Formation of such big cargos differentially detected by IEC appears as a plausible explanation sustaining at the cellular level the antibody-mediated mucosal protection.Finally, SlgA retrotransport across IEC has been tackled stressing an active IEC sensing of the external environment possibly involved in the steady-state mucosal activation.All together, these results indicate that SlgA represents one of the pivotal elements at mucosal surfaces highlighting the complexity of the dialogue established with the epithelium sustaining the fragile intestinal balance.

Fusion weld metal solidification:Continuum from weld interface to centerline

We present a brief résumé of the history of solidification research and key factors affecting the solidification of fusion welds. There is a general agreement of the basic solidification theory, albeit differing - even confusing - nomenclatures do exist, and Cases 2 and 3 (the Chalmers' basic boundary conditions for solidification, categorized by Savage as Cases) are variably emphasized. Model Frame, a tool helping to model the continuum of fusion weld solidification from start to end, is proposed. It incorporates the general solidification models, of which the pertinent ones are selected for the actual modeling. The basic models are the main solidification Cases 1…4. These discrete Cases are joined with Sub-Cases: models of Pfann, Flemings and others, bringing needed Sub-Case variables into the model. Model Frame depicts a grain growing from the weld interface to its centerline. Besides modeling, the Model Frame supports education and academic debate. The new mathematical modeling techniques will extend its use into multi-dimensional modeling, introducing new variables and increasing the modeling accuracy. We propose a model: melting/solidification-model (M/S-model) - predicting the solute profile at the start of the solidification of a fusion weld. This Case 3-based Sub-Case takes into account the melting stage, the solute back-diffusion in the solid, and the growth rate acceleration typical to fusion welds. We propose - based on works of Rutter & Chalmers, David & Vitek and our experimental results on copper - that NEGS-EGS-transition is not associated only with cellular-dendritic-transition. Solidification is studied experimentally on pure and doped copper with welding speed range from 0 to 200 cm/min, with one test at 3000 cm/min. Found were only planar and cellular structures, no dendrites - columnar or equiaxed. Cell sub structures: rows of cubic elements we call "cubelettes", "cell-bands" and "micro-cells", as well as an anomalous crack morphology "crack-eye", were detected, as well as microscopic hot crack nucleus we call "grain-lag cracks", caused by a grain slightly lagging behind its neighbors in arrival to the weld centerline. Varestraint test and R-test revealed a change of crack morphologies from centerline cracks to grainand cell boundary cracks with an increasing welding speed. High speed made the cracks invisible to bare eye and hardly detectable with light microscope, while electron microscope often revealed networks of fine micro-cracks.

Atomistic-continuum modeling of ultrafast laser-induced melting of silicon targets

In this work, we present an atomistic-continuum model for simulations of ultrafast laser-induced melting processes in semiconductors on the example of silicon. The kinetics of transient non-equilibrium phase transition mechanisms is addressed with MD method on the atomic level, whereas the laser light absorption, strong generated electron-phonon nonequilibrium, fast heat conduction, and photo-excited free carrier diffusion are accounted for with a continuum TTM-like model (called nTTM). First, we independently consider the applications of nTTM and MD for the description of silicon, and then construct the combined MD-nTTM model. Its development and thorough testing is followed by a comprehensive computational study of fast nonequilibrium processes induced in silicon by an ultrashort laser irradiation. The new model allowed to investigate the effect of laser-induced pressure and temperature of the lattice on the melting kinetics. Two competing melting mechanisms, heterogeneous and homogeneous, were identified in our big-scale simulations. Apart from the classical heterogeneous melting mechanism, the nucleation of the liquid phase homogeneously inside the material significantly contributes to the melting process. The simulations showed, that due to the open diamond structure of the crystal, the laser-generated internal compressive stresses reduce the crystal stability against the homogeneous melting. Consequently, the latter can take a massive character within several picoseconds upon the laser heating. Due to the large negative volume of melting of silicon, the material contracts upon the phase transition, relaxes the compressive stresses, and the subsequent melting proceeds heterogeneously until the excess of thermal energy is consumed. A series of simulations for a range of absorbed fluences allowed us to find the threshold fluence value at which homogeneous liquid nucleation starts contributing to the classical heterogeneous propagation of the solid-liquid interface. A series of simulations for a range of the material thicknesses showed that the sample width we chosen in our simulations (800 nm) corresponds to a thick sample. Additionally, in order to support the main conclusions, the results were verified for a different interatomic potential. Possible improvements of the model to account for nonthermal effects are discussed and certain restrictions on the suitable interatomic potentials are found. As a first step towards the inclusion of these effects into MD-nTTM, we performed nanometer-scale MD simulations with a new interatomic potential, designed to reproduce ab initio calculations at the laser-induced electronic temperature of 18946 K. The simulations demonstrated that, similarly to thermal melting, nonthermal phase transition occurs through nucleation. A series of simulations showed that higher (lower) initial pressure reinforces (hinders) the creation and the growth of nonthermal liquid nuclei. For the example of Si, the laser melting kinetics of semiconductors was found to be noticeably different from that of metals with a face-centered cubic crystal structure. The results of this study, therefore, have important implications for interpretation of experimental data on the kinetics of melting process of semiconductors.

Evaluation of shear bond strength at the interface of two porcelains and pure titanium injected into the casting mold at three different temperatures

Statement of problem. Titanium has physical and mechanical properties, which have led to its increased use in dental prostheses despite casting difficulties due to high melting point and formation of oxide layers which affect the metal-ceramic bond strength.Purpose. This in vitro study evaluated the shear bond strength of the interface of 2 dental porcelains and pure titanium injected into a mold at 3 different temperatures.Material and methods. Using commercially pure (cp) titanium bars (Titanium, Grade I) melted at 1668degreesC and cast at mold temperatures of 430degreesC, 700degreesC or 900degreesC, 60 specimens were machined to 4 x 4 mm, with a base of 5 x 1 mm. The 4-mm surfaces were airborne-particle abraded with 100 mum aluminum oxide before applying and firing the bonding agent and evaluating the 2 porcelains (Triceram/Triline ti and Vita Titankeramik). Ten specimens were prepared for each temperature and porcelain combination Shear bond testing was performed in a universal testing machine, with a 500-kg load cell and crosshead speed of 0.5 mm/min. The specimens were loaded until failure. The interfaces of representative fractured specimens of each temperature were examined with a scanning electron microscope (SEM) and energy dispersive spectrometer (EDS). Data for shear bond strength (MPa) were statistically analyzed by 2-way ANOVA and the Tukey test (alpha = .05).Results. The results showed significant differences for the metal/porcelain interaction effect (P = .0464). There were no significant differences for the 2 porcelains (P = .4250). The Tukey test showed a significant difference between the pair cp Ti 430degreesC Triceram and cp Ti 900degreesC Triceram, with respective mean values and SDs of 59.74 +/- 11.62 and 34.03 +/- 10.35 MPa.Conclusion. Triceram porcelain showed a bond strength decrease with an increase in the mold temperature for casting titanium. The highest bond strength for Vita porcelain and the best metal-ceramic interface observed with the SEM were found with the mold temperature of 700degreesC.

Estudo da interface titânio/porcelana, com três porcelanas de ultra baixa fusão, empregando-se microscopia eletrônica de varredura e dilatometria

Pós-graduação em Ciências Odontológicas - FOAR

Estudo comparativo da influência de três diferentes métodos de fundição na resistência da interface metal-cerâmica, por meio do teste de cisalhamento

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Computational simulations of latent heat thermal energy storage systems - with innovative and first-principles based simulation for the underlying unsteady melting (and solidification) processes

This thesis develops an effective modeling and simulation procedure for a specific thermal energy storage system commonly used and recommended for various applications (such as an auxiliary energy storage system for solar heating based Rankine cycle power plant). This thermal energy storage system transfers heat from a hot fluid (termed as heat transfer fluid - HTF) flowing in a tube to the surrounding phase change material (PCM). Through unsteady melting or freezing process, the PCM absorbs or releases thermal energy in the form of latent heat. Both scientific and engineering information is obtained by the proposed first-principle based modeling and simulation procedure. On the scientific side, the approach accurately tracks the moving melt-front (modeled as a sharp liquid-solid interface) and provides all necessary information about the time-varying heat-flow rates, temperature profiles, stored thermal energy, etc. On the engineering side, the proposed approach is unique in its ability to accurately solve – both individually and collectively – all the conjugate unsteady heat transfer problems for each of the components of the thermal storage system. This yields critical system level information on the various time-varying effectiveness and efficiency parameters for the thermal storage system.

(Table 3) Basal melting rates under the Amery Ice Shelf, East Antarctica

The basal melting and freezing rates under the Amery Ice Shelf, East Antarctica, are evaluated, and their spatial distributions mapped. Ice velocity, surface elevation and accumulation rate datasets are employed in the analysis, along with a column-averaged ice density model. Our analysis shows that the total area of basal melting is 34 700 km**2, with a total annual melt of 62.5 ± 9.3 Gt and an average melting rate of 1.8 ± 0.3 m/a. Basal freezing mainly occurs in the northwestern part of the ice shelf, over a total area of 26100 km**2 and with a maximum freezing rate of 2.4 ± 0.4 m/a. The total marine ice that accretes to the ice-shelf base is estimated to be 16.2 ± 2.4 Gt/a. Using a redefined grounding line and geometry of the Amery Ice Shelf, we estimate the net melt over the ice-shelf base is about 46.4 ± 6.9 Gt/a, which is higher than previous modeling and oceanographic estimates. Net basal melting accounts for about half of the total ice-shelf mass loss, with the rest being from iceberg discharge. Our basal melting and freezing distribution map provides a scientific basis for quantitative analysis of ice-ocean interaction at the ice-shelf-ocean interface.

Two-dimensional freezing in the liquid–vapor interface of a dilute Pb:Ga alloy

We report the results of x-ray reflectivity and grazing incidence x-ray diffraction studies of the liquid–vapor interface of a dilute alloy of Pb in Ga over the temperature range of 23–76°C. Our data show that the liquid–vapor interface of this alloy is stratified for several atomic diameters into the bulk liquid and that a monolayer of Pb forms the outermost stratum of the interface. Over the temperature range of 23–56°C, the monolayer of Pb is in an ordered hexagonal phase. At about 58°C, this monolayer undergoes a first-order transition to a hexatic phase, which remains stable to 76°C. An analogy between the observed transition and the first-order melting transition in a one-component classical plasma is suggested.