2022 Apr 27;9(Pt 3):364-369. doi: 10.1107/S2052252522003396. This site needs JavaScript to work properly. We highlight key characteristics and enhancements achieved through this capillary-enhanced filmwise condensation technique using a porous media flow model. It routinely occurs in granular and porous media, can strongly alter such properties as adhesion, lubrication, friction and corrosion, and is important in many processes employed by microelectronics, Capillary-driven Condensation for Heat Transfer Enhancement in Steam Power Plants Project ID: DE-FE0031677 Yajing Zhao, Samuel Cruz, and Evelyn N. Wang Department of Mechanical Engineering, MIT Thomas G. Lestina Heat Transfer Research Inc 2 Motivation Project Description and Objectives Advertisement Corrosionpedia Explains Capillary Condensation FOIA Then stop the steam flowing through these pores. Some are just one atom high, which Geim explains is the smallest capillary possible, allowing only a single layer of water molecules to pass through. 2020 Feb 18;53(2):347-357. doi: 10.1021/acs.accounts.9b00411. Publishing fundamental and applied research of the highest quality covering all aspects of graphene and related two-dimensional materials. official website and that any information you provide is encrypted This disclosure describes single and multi-layer woven meshes designed to enable sucking flow condensation and capillary-driven liquid film boiling, respectively, for instance, in use in heat spreaders. However, care should be taken when applying macroscopic . A necessary condition for capillary condensation is the wetting of the surface of the material (particles) by the liquid. Epub 2020 Jan 10. 2\Ux:> J'~]{xe e3%GqLBY#:;iKjFhRbNVG h`]_7GiSV\9!nYRYKdHSMot)a;vj^x >jNi%UbdSKG^f3|\E)H5=c=H4 kJG;d)%tq[mzAa')'Xgc~Qq. Capillary condensation is said to occur when, in porous solids, multilayer adsorption from a vapour proceeds to the point at which pore spaces are filled with liquid separated from the gas phase by menisci. An official website of the United States government. Condensation inside capillaries is ubiquitous in nature, and many physical processes including friction, stiction, lubrication and corrosion are affected by it. The single-layer woven meshes can include a nanostructure coating and a hydrophobic coating, while the multi-layer meshes can include a microcavity coating and optionally a hydrophilic coating. Developed HTC models based on the concept of capillary-driven condensation Fabricated highly-defined geometry and scalable surfaces in parallel Ongoing experiments for HTC characterization and model validation Expecting a 5x HTC for durable condensation under industrial settings and 8x for highly defined geometries Concluding . endstream endobj 273 0 obj <> endobj 274 0 obj <> endobj 275 0 obj <>stream The century-old Kelvin equation5 is frequently used to describe condensation phenomena and has been shown to hold well for liquid menisci with diameters as small as several nanometres1-4,6-14. 4 0 obj We plan to carry out . Condens. It is shown that, if the angle between the walls is sufficiently small, the vapor becomes unstable, and spontaneous condensation occurs in the corner, similar to the so-called capillary condensation of vapor into a porous medium. Please enable it to take advantage of the complete set of features! Gels. ya8xR-~ 0 2020 Feb 27;6(1):7. doi: 10.3390/gels6010007. Although capillary condensation theory has devoted to the determination of pore size distribution of mesopores, adsorption studies on regular mesoporous silica such as MCM-41 [1,2] or FSM [ 3,4] pointed that classical capillary condensation theory cannot explain the dependence of the adsorption hysteresis on the pore width. 8600 Rockville Pike Such heterogeneous nucleation has been well described by thermodynamic laws such as . This phenomenon increases the friction force, introduces a short-term memory in the form of an elastic response against shearing, and allows us to ``write'' a temporary line of ice on . Once condensation has occurred, a meniscus immediately forms at the liquid-vapor interface which allows for equilibrium below the saturation vapor pressure. R. Soc. Careers. Thomson, W. On the equilibrium of vapour at a curved surface of liquid. Please enter the e-mail address you used to register to reset your password, Thank you for registering with Physics World In the real world, though, capillaries can be even smaller than this. When pores are small, however, condensation can happen when vapor pressure is smaller than saturation pressure, according to Kelvin Equation. Capillary condensation is the first-order vapor-to-liquid phase transition taking place in confined geometries. It routinely occurs in granular and porous media, can strongly alter such properties as adhesion, lubrication, friction and corrosion, and is important in many processes used by microelectronics, pharmaceutical, food and other industries 1-4.The century-old Kelvin equation 5 is frequently used to describe condensation . In practice, however, the condition breaks at about four to five layers of confined water (which are less than 2 nm thick in total), she tells Physics World. At the atomic scale, Yang explains that researchers rewrite the Kelvin equation in terms of how water molecules in both gas and liquid phases interact with solid surfaces (such as capillary walls). Enhanced Water Evaporation from -Scale Graphene Nanopores. A novel condensation method was developed to enhance the efficiency of steam power plants. (2)). The steam passes through the sample in the sample chamber, increasing the pressure of the steam until the steam is condensed in some pores. % Where. Similar regimes are observed for the isotherms at a xed temperature and varying pore sizes. Charlaix, E. & Ciccotti, M. Capillary Condensation in Confined Media (CRC 2010). We have used Fizeau interferometry to measure directly the capillary condensation of water in a wedge between fused silica surfaces. Even though we are often consciously aware of our current emotional state, such as anger or happiness, the mechanisms giving .Emotions are often felt in the body, and somatosensory feedback has been proposed to trigger . Butler IR, Evans DM, Horton PN, Coles SJ, Parker SF, Capelli SC. hTn0.wJ^jG'F6qTH! Capillary Condensation in Disordered Porous Materials: Hysteresis versus Equilibrium Behavior Full Record Research Abstract We study the interplay between hysteresis and equilibrium behavior in capillary condensation of fluids in mesoporous disordered materials via a mean-field density functional theory of a disordered lattice-gas model. The unique aspect of capillary condensation is that vapor condensation occurs below the saturation vapor pressure, Psat, of the pure liquid. When water vapour spontaneously condenses inside capillaries just 1 nm across, it behaves according to the 150-year-old Kelvin equation defying predictions that this pre-quantum-era formula would inevitably break down at the atomic scale. = equilibrium vapor pressure = saturation vapor pressure = mean curvature of meniscus = liquid/vapor surface tension = liquid molar volume Copyright 2022 by IOP Publishing Ltd and individual contributors, Explore all the latest news and information on Physics World, Keep track of the most exciting research breakthroughs and technology innovations, Stay informed about the latest developments that affect scientists in all parts of the world, Take a deeper look at the emerging trends and key issues within the global scientific community, Discover the stories behind the headlines, Enjoy a more personal take on the key events in and around science, Plan the meetings and conferences you want to attend with our comprehensive events calendar, Consider your career options with valuable advice and insightful case studies, Find out whether you agree with our expert commentators, Discover the views of leading figures in the scientific community, Find out whos doing what in industry and academia, Explore the value of scientific research for industry, the economy and society, Find out how recent scientific breakthroughs are driving business innovation and commercial growth, Learn about novel approaches to educating and inspiring the scientists of the future, Understand how emerging policy changes could affect your work and career, Follow the latest progress at the worlds top scientific experiments, A round-up of the latest innovation from our corporate partners, Explore special collections that bring together our best content on trending topics, Explore the ways in which todays world relies on AI, and ponder how this technology might shape the world of tomorrow, Celebrating Black physicists and revealing a more complete picture of what a physicist looks like, The challenges and opportunities of turning advances in nanotechnology into commercial products, Find out how scientists are exploiting digital technologies to understand online behaviour and drive research progress, Explore the latest trends and opportunities associated with designing, building, launching and exploiting space-based technologies, Experiments that probe the exotic behaviour of matter at ultralow temperatures depend on the latest cryogenics technology, Explore the sights and sounds of the scientific world, Our regular conversations with inspiring figures from the scientific community, Watch our specially filmed videos to get a different slant on the latest science, Tune into online presentations that allow expert speakers to explain novel tools and applications, This e-mail address will be used to create your account, Register to unlock all the content on the site, Single atoms swim inside a graphene sandwich, International Year of Glass gets cracking in Geneva, Sydney | Commonwealth Scientific and Industrial Research Organisation, Switzerland | Swiss Nanoscience Institute, OX1 3PU | University of Oxford, 710 February 2023 | Rotorua, New Zealand, AVS 68th International Symposium & Exhibition, 10th International Conference on Advanced Materials & Nanotechnology (AMN10), 3rd Materials Science and Nanotechnology Conference, Manage which e-mail newsletters you want to receive, Read about the big breakthroughs and innovations across 13 scientific topics, Explore the key issues and trends within the global scientific community, Choose which e-mail newsletters you want to receive. Condensation on the nanoscale is essential to understand many natural and synthetic systems relevant to water, air, and energy. Confinement effects on phase behavior of soft matter systems. and transmitted securely. Using atomic force microscopy (AFM), Geim, Yang and colleagues imaged the capillaries as they filled with water. Capillary Condensation the condensation of vapor in the capillaries and microcracks of porous bodies or in the interstices between closely packed particles. 272 0 obj <> endobj 296 0 obj <>stream It is worth noting that the nucleation-driven phase transitions depend on temperature, pore size, and uidsolid pair.20 Under stronger confinement still, the water structure strongly changes, and the interaction energies (primarily the liquid water-surface energy) inevitably change. In this regime, the Kelvin equation should obviously fail mainly because huge oscillations in the relative humidity at which condensation occurs are expected due to the aforementioned layered structure of water. Nature. capillary condensation the probe is the chemical potential. We show that this agreement is fortuitous and can be attributed to elastic deformation of capillary walls23-25, which suppresses the giant oscillatory behaviour expected from the commensurability between the atomic-scale capillaries and water molecules20,21. Hysteresis in capillary condensation is important for the fundamental study and application of porous materials, and yet experiments on porous materials are sometimes difficult to interpret . )2Gndur@}{=W6}U?1/5zV~JvVeJ>.anWiz8QPs))||&p/>sXVuzyk_U)62=|[ 'V;b|8d o{6dYh,4E2WV#!-DD:D>T 5'~2:~:Y{-"pGpN, Q8 8?eqBvh@D@\#Qg:n}En:]AFLW)>4i_O >stream (10.64) that if Pr < P0, the vapor outside the capillary will enter into it, causing the capillary condensation. ,Pm,pCNlN6&7iq)?\k$:q" v\(UnnIk@0fs\]8Xq;m:~}E A very restricted set of hysteresis models also have discrete memory. Capillary condensation of water is ubiquitous in nature and technology. For even smaller capillaries that are involved in condensation under ambient humidity and so of particular practical interest, the Kelvin equation is expected to break down because the required confinement becomes comparable to the size of water molecules1-22. Physics World represents a key part of IOP Publishing's mission to communicate world-class research and innovation to the widest possible audience. 1908). -6@.\Q%L~6QLY[~ZC OHKpN}A+c|tv%Ki0h Capillary condensation of water is ubiquitous in nature and technology. The dynamics of saturated vapor between two intersecting walls is examined. Capillary condensation of water is ubiquitous in nature and technology. 2008 Jul 16;4(8):1555-1568. doi: 10.1039/b802207k. In many instances where the Preisach model is . Such heterogeneous nucleation has been well described by thermodynamic laws such as the 26 PDF View 1 excerpt, cites background A critical assessment of capillary condensation and evaporation equations: a computer simulation study. ^:O(oww'UuNi2dXTxD79u =pIe*4 n zcD MR`@04i 1& jO d * xFH)[-} |3"Fu]d9HlP8 HB4is0P(K0&Er3riy$| ykMrmk/T2!HAFC^Z7 /!Z]Em=w9o^RP:D+@wa.Y wo>b\UQ9+ Exploring Anomalous Fluid Behavior at the Nanoscale: Direct Visualization and Quantification via Nanofluidic Devices. Binder K, Horbach J, Vink R, De Virgiliis A. Molecular transport through capillaries made with atomic-scale precision. At this scale, it becomes impossible to define the curvature of a liquids meniscus meaning that the Kelvin equation should no longer hold. Nano Lett. The capillary condensation is a phenomenon, which enables liquefaction of vapour in porous materials at low vapour pressures. These data showed that capillary condensation follows the Kelvin equation even in these tiny structures. 286 0 obj <>/Filter/FlateDecode/ID[]/Index[272 25]/Info 271 0 R/Length 86/Prev 554432/Root 273 0 R/Size 297/Type/XRef/W[1 3 1]>>stream At smaller slit widths a capillary condensation transition occurs as the slit fills up with liquid. When the radius is increased so that P0 = Pr, the capillary condensation will stop, and only normal adsorption will act. Emotions coordinate our behavior and physiological states during survival-salient events and pleasurable interactions. 5 N{Nee}AS6rtNJXrQ,? van Honschoten, J. W., Brunets, N. & Tas, N. R. Capillarity at the nanoscale. Hydration Dynamics and the Future of Small-Amplitude AFM Imaging in Air. Epub 2022 Aug 24. Capillary condensation in nanochannels is often accompanied by hysteresis such that RH C required to reach the transition depends on whether external RH is increased or decreased 1,. Capillary condensation has major implications for estimating A capillary does not necessarily have to be a tubular, closed shape, but can be any confined space with respect to its surroundings. endstream endobj startxref 2016 Oct 13;538(7624):222-225. doi: 10.1038/nature19363. government site. MeSH ParaCrawl Corpus It is similar to the phenomenon when a straw is immersed into liquid and the level of liquid inside the straw rises ( capillary condensation ). The main. HHS Vulnerability Disclosure, Help The concept loses its sense when the dimensions of the pores are so small that the term meniscus ceases to have a physical significance. Full details of the research are described in Nature. & Jackson, G. A perspective on the interfacial properties of nanoscopic liquid drops. Capillary condensation of water is ubiquitous in nature and technology. Epub 2016 Sep 7. %PDF-1.5 Molecules. 2022 Sep 27;16(9):15382-15396. doi: 10.1021/acsnano.2c07193. We present atomic-scale friction force measurements that strongly suggest that the capillary condensation of water between a tungsten tip and a graphite surface leads to the formation of ice at room temperature. The larger the radius of the capillary, the greater the Pr. IUCrJ. Capillary condensation occurs when the adsorption of a vapour in a capillary (any porous medium) forms drops and consequently a liquid surface with a very small radius of curvature. Condensation is prevalent in various industrial and heat/mass transfer applications, and improving condensation heat transfer has a direct effect on process efficiency. Capillary Condensation Flow Porometer is designed to measure the pore diameter, gas permeability and flow rate distribution of nanopore samples. hT1o0w In these structures, scientists use the concept of capillary condensation to determine pore size distribution and surface area through adsorption isotherms. 2021 Nov 23;26(23):7083. doi: 10.3390/molecules26237083. 2021 Nov 27;26(23):7190. doi: 10.3390/molecules26237190. Unitary Approach to Adsorption and Capillary Condensation The pioneering work of Edlefsen and Anderson [1943] on mechanisms of water distribution on soil particles provided the qualitative basis for Philip's [1977a] development of a quanti- tative unitary approach to capillary condensation and adsorp- tion in porous media. 0 Unable to load your collection due to an error, Unable to load your delegates due to an error. As a result, an ever-growing liquid meniscus develops near the corner. Interstices among nanoparticles are of nanoscale dimensions by geometric consideration. eCollection 2022 May 1. An elegantly simple explanation of H/DM is given by the Preisach model,6-8 a model for the behavior of a large number of noninteracting, individually hysteretic units. Barsotti, E., Tan, S. P., Saraji, S., Piri, M. & Chen, J.-H. A review on capillary condensation in nanoporous media: implications for hydrocarbon recovery from tight reservoirs. t3!9mh6H T>uVYqK`3%lJ6 s&-;tn$ O,E However, before the condensation, the density of the conned phase is greater than that of the bulk phase (due to the Here we use van der Waals assembly of two-dimensional crystals to create atomic-scale capillaries and study condensation within them. capillary condensation occurs between the equilibrium and the vapor-like spinodal. hbbd```b`` DLHV~d"Ze +D@Z&F`YF # Courtesy: Zisong Ma, Yan Liang (USTC) When water vapour spontaneously condenses inside capillaries just 1 nm across, it behaves according to the 150-year-old Kelvin equation - defying predictions that this pre-quantum-era formula would inevitably break down at the atomic scale. It routinely occurs in granular and porous media, can strongly alter such properties as adhesion, lubrication, friction. These About the Dominance of Mesopores in Physisorption in Amorphous Materials. Our work provides a basis for an improved understanding of capillary effects at the smallest scale possible, which is important in many realistic situations. Bookshelf Chem. Accessibility Construction of a Universal Gel Model with Volume Phase Transition. Fuel 184, 344361 (2016). In this form, macroscopic quantities such as the contact angle of water with the capillary wall, the surface tension of water and its meniscus curvature all disappear from the equation, which then remains valid as long as the energy of the water-surface interactions does not notably change. Typical compositions of petroleum gases can be found in Table 1 for conventional geological formations and shale formations. The model results . Proc. hX6+`]I /E+j 4mE%Yc<<. The site is secure. )hlg-=0 0$\'"Df(,PpERpCr~NGUQ6[:4e_if-Z :\,2y;y]-t>{ji\fk7[bt\bJG)Ga/j!jNqpN]iZm;{f6- #NGZreZbc97tRd?pX== KIjcuy;YkI2vp8PsW0OzX-ik.eUYU7]c4n"_6F (um'TZmj&pS2 Capillary condensation is the "process by which multilayer adsorption from the vapor into a porous medium proceeds to the point at which pore spaces become filled with condensed liquid from the vapor ." The unique aspect of capillary condensation is that vapor condensation occurs below the saturation vapor pressure, P sat, of the pure liquid. This is the finding of researchers at the University of Manchester, who showed that the equation remains valid even for capillaries that can accommodate only a single layer of water molecules. The website forms part of the Physics World portfolio, a collection of online, digital and print information services for the global scientific community. ERC_/European Research Council/International. Capillary Condensation When the pore is small, the physics change. It routinely occurs in granular and porous media, can strongly alter such properties as adhesion, lubrication, friction and corrosion, and is important in many processes used by microelectronics, pharmaceutical, food and other industries1-4. Despite its importance, the underlying physics of condensation initiation and propagation remain largely unknown at sub-10 nm, mainly due to the challenges of controlling a eCollection 2021 Mar 29. PMC 2021 Mar 30;11(21):12476-12483. doi: 10.1039/d1ra01353j. Capillary condensation is a process by which multilayer (more than one layer) adsorption (when a particle attaches itself on to a surface) occurs in a porous. The spontaneous self-assembly of a molecular water pipe in 3D space. The .gov means its official. ACS Nano. an effect on capillary pressures in porous media 13 , which suggests that they should have an impact on the thermody-namics that govern capillary condensation as well. Edinb. The https:// ensures that you are connecting to the Capillary condensation refers to a process where vapors are adsorbed into porous avenues of a metal via multi-layer mechanisms, which results in a condensed liquid accumulating in these pockets. As a result, she concludes, the Kelvin equation remains valid down to a monolayer of confined water. Lee WC, Ronghe A, Villalobos LF, Huang S, Dakhchoune M, Mensi M, Hsu KJ, Ayappa KG, Agrawal KV. (#]%gG^LUPG24_ CCF#?Y(pWy}p :;}ME0LkeO /8xC}L "A7{W%O0Y)4(E|'KAOL>P$JA52lF *h Capillary condensation. Would you like email updates of new search results? Capillary condensation is the "process by which multilayer adsorption from the vapor into a porous medium proceeds to the point at which pore spaces become filled with condensed liquid from the vapor ." The result came as big surprise, Yang says. Together, this type of DNA-mediated surface condensation could generate capillary forces required to regulate and remodel chromatin in vivo. The graphene strips act as spacers and their thickness can be varied, allowing for capillaries of varying heights. The method consists of a hierarchical structure on the surface of condenser tubes consisting of a wicking structure overlaid with a porous hydrophobic membrane. Our smallest capillaries are less than four ngstrms in height and can accommodate just a monolayer of water. hb```f``rf`c`^ @"p@2U?}v=,U As with any liquid-vapor interface involving a menisci, the Kelvin equation provides a relation for the difference between the equilibrium vapor pressure and the saturation vapor pressure. . Rev. %PDF-1.5 % Zhong J, Alibakhshi MA, Xie Q, Riordon J, Xu Y, Duan C, Sinton D. Acc Chem Res. 2021 Jul 14;21(13):5593-5598. doi: 10.1021/acs.nanolett.1c01092. 2.1. t@`UCCDm_3i tSX3ebPRh$zA-Ag9 0Z[8R?iF % } Clipboard, Search History, and several other advanced features are temporarily unavailable. -. sharing sensitive information, make sure youre on a federal It has been gradually recognized that in a tight porous medium capillary condensation as a thermodynamic phase transition should follow the sequence of pore size distribution, from small pores to large pores, owning to the shift in the vapor-liquid equilibrium in pores of different sizes due to capillary pressure. The Manchester team led by Andre Geim and Qian Yang created their ultra-tiny capillaries by meticulously sandwiching strips of graphene (a two-dimensional sheet of carbon) between atomically flat crystals of mica or graphite using a process called van der Waals assembly. endstream endobj 276 0 obj <>stream Disclaimer, National Library of Medicine Bethesda, MD 20894, Web Policies Condensation, a phenomenon when vapor chills into liquid, typically happens when vapor pressure is greater than saturation pressure. Heterogeneous three-dimensional mesoporous networks (A. J. Ramrez-Cuesta, S. Cordero, F. Rojas, R. J. Faccio and J. L. Riccardo, J. Porous Mater., 2001, 8, 61, ref. << /Length 5 0 R /Filter /FlateDecode >> 7, 6368 (1872). However, because such tight confinement is difficult to recreate in the laboratory, researchers have been unable to test this hypothesis until now. What the Manchester team found, though, is that these oscillations are strongly suppressed by the elasticity of the capillary walls. Moisture accumulation is responsible for a higher corrosion rate. nanoparticulate powders produce nanoporous structures. Entification begins at arms length; the points of condensation in the primordial conceptual scheme are things glimpsed, not glimpses.Willard Van Orman Quine (b. 1) constructed under the premises of the dual site-bond model have been used as probe substrates to study the effects of variable connectivity RSC Adv. Molecules. For porous solids, we can imagine a pore to be cylindrical capillary of radius r, when r p vapor will condense in small capillaries at pressures less than the normal pressure P0(defined for planar surface) for Type IV and V isotherms, condensation occurs at PP0 because there are small pores inside the porous solids. Capillary condensation is the "process by which multilayer adsorption from the vapor [phase] into a porous medium proceeds to the point at which pore spaces become filled with condensed liquid from the vapor [phase]." [1] The unique aspect of capillary condensation is that vapor condensation occurs below the saturation vapor pressure, P sat, of . 39, 10961114 (2010). in this method is that at capillary condensation, the pressure of the condensed phase is negative due to the large capillary pressure that exists across the interface between the conned and the bulk phase (Eq. Federal government websites often end in .gov or .mil. Soft Matter. The separation at which this occurs is in good agreement with a film-thickening mechanism due to van der Waals forces across the gap only for the thickest films (t 6 nm). Capillary condensation is observed in crevices, gaps, cracks on the metal surface, pores in the film of the corrosion products, under dirt, etc. Matter 24, 464121 (2012). This result is due to an increased number of van der Waals interactions between vapor phase molecules inside the confined space of a capillary. [20,21], capillary condensation is highly probable, although more information is needed to understand how and when it occurs. If you'd like to change your details at any time, please visit My account. Soc. %%EOF Meniscus formation is dependent on the surface tension of the liquid and the shape of the capillary, as shown by the Young-Laplace equation. Hence the compact layers of . Measurements were made at relative vapour pressures ( P/Ps). The Kelvin equation, which relates the surface tension of water to its temperature and the diameter of its meniscus (among other parameters), predicts that if the ambient humidity is between 3050%, then flat capillaries less than 1.5 nm high will spontaneously fill with water vapour that condenses from the air. Capillary Condensation - Kelvin Equation Kelvin Equation The Kelvin equation can be used to describe the phenomenon of capillary condensation due to the presence of a curved meniscus. In the present paper we extend the thermodynamic formu-lation of equilibrium capillary pressure 14 to the phenom-ena of capillary condensation in a system with distinct pore Although these walls adjust their position by less than 0.1 nm in response to the high pressures (of up to 1000 bars) present during capillary condensation under ambient humidity, Yang says that this miniscule adjustment is enough to snugly accommodate only an integer number of water-molecule layers. The project is divided into two main efforts. It can be seen from Eq. We expected a complete breakdown of the equation since the properties of water change at this scale, with its structure becoming distinctly discrete and layered.. Capillary condensation in atomic-scale channels. Radha B, Esfandiar A, Wang FC, Rooney AP, Gopinadhan K, Keerthi A, Mishchenko A, Janardanan A, Blake P, Fumagalli L, Lozada-Hidalgo M, Garaj S, Haigh SJ, Grigorieva IV, Wu HA, Geim AK. -, Malijevsk, A. J. Phys. stream Surprisingly, even at this scale, we find that the macroscopic Kelvin equation using the characteristics of bulk water describes the condensation transition accurately in strongly hydrophilic (mica) capillaries and remains qualitatively valid for weakly hydrophilic (graphite) ones. Epub 2021 May 13. Capillary condensation is the first-order vapor-to-liquid phase transition taking place in confined geometries. Capillary condensation is an important factor in both naturally occurring and synthetic porous structures. Before
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