An experimental realization of the Weaire–Phelan structure in monodisperse liquid foam

Gabbrielli, Ruggero; Meagher, A.J.; Weaire, D.; Brakke, Kenneth A.; Hutzler, Stefan

doi:10.1080/09500839.2011.645898

Cited by 49 publications

(38 citation statements)

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“…As will become apparent later (e.g. Section 4), in some cases, rather than using the average radius bRN, it is more appropriate to use the SauterMean radius R 32 , defined as A Weaire-Phelan foam contains two types of bubble shapes in the unit cell and is conjectured to be the structure of the lowest surface area for dry foams with equal-volume bubbles (from [8], reprinted by permission of the publisher Taylor & Francis Ltd.www.tandfonline.com) (c) Different crystal structures in the wet limit can be obtained by packing bubbles into the corner of prism-shaped containers with different opening angles. Shown is the example of an FCC packing in a triangular prism and a BCC packing obtained in a four-sided prism (from [9], reprinted by permission of the publisher Taylor & Francis Ltd.).…”

Section: Introductionmentioning

confidence: 99%

Structure and energy of liquid foams

Drenckhan

Hutzler

2015

Advances in Colloid and Interface Science

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a b s t r a c t a r t i c l e i n f oWe present an overview of recent advances in the understanding of foam structure and energy and their dependence on liquid volume fraction. We consider liquid foams in equilibrium for which the relevant energy is surface energy. Measurements of osmotic pressure can be used to determine this as a function of liquid fraction in good agreement with results from computer simulations. This approach is particularly useful in the description of foams with high liquid content, so-called wet foams. For such foams X-ray tomography proves to be an important technique in analysing order and disorder. Much of the discussion in this article is also relevant to bi-liquid foams, i.e. emulsions, and to solid foams, provided that the solidification preserves the structure of the initially liquid foam template.

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Section: Introductionmentioning

confidence: 99%

Structure and energy of liquid foams

Drenckhan

Hutzler

2015

Advances in Colloid and Interface Science

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154

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“…The matching to Plateau's laws strongly evidenced that the designed foaming process as shown in Figure 1a indeed occurred and resulted in these 3D WG foams. 28,29 Interestingly, in addition to μm-scale pores, nm-scale pores were also very common in these ultrathin walls when observed by transmission electron microscopy, as shown in Figure 2d. These pores had a bimodal size distribution of ∼ 60 and 5 nm.…”

Section: Resultsmentioning

confidence: 89%

“…Three edges always met in a so-called Plateau border with an angle of ∼ 120°. 28,30 The intact top surfaces in Figure 2b exhibited another feature of Plateau's laws: the walls were complete and smooth surfaces with a mean curvature of a constant on any point. Furthermore, Figure 2c demonstrates that the detached sheets had very smooth surfaces and a planar size of several tens of μm, coincident with Figure 1b.…”

Section: Resultsmentioning

confidence: 99%

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3D white graphene foam scavengers: vesicant-assisted foaming boosts the gram-level yield and forms hierarchical pores for superstrong pollutant removal applications

2015

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Three-dimensional (3D) nanostructures assembled with one-or few-layered ultrathin two-dimensional (2D) crystals have triggered great interest in energy and environmental applications. Here, we introduce a gas-foaming process in an hexagonal boron nitride (h-BN) ceramic material to fabricate 3D white graphene (WG) foams without using any catalysts or templates for superstrong pollutant removal applications. Importantly, the introduction of vesicants guaranteed the reproducibility and yield (4500 cm 3 ). Interestingly, these 3D WG foams possessed a vesicular structure with hierarchical pores ranging from nm to μm scales and with ultrathin walls consisting of mono-or few-layered BN membranes with planar sizes as large as 100 μm. Consequently, such microstructure merits of hierarchical pores and ultrathin walls endowed them not only very low density (2.1 mg cm − 3 ) but also superstrong adsorption ability, illustrated by capacitances up to 190 times its own weight toward a wide range of environment contaminations, including various oils and dyes. Thus, the 3D h-BN WG foams prepared by vesicant-assisted foaming should have great potential as outstanding environmental scavengers. NPG Asia Materials (2015) 7, e168; doi:10.1038/am.2015.8; published online 27 March 2015 INTRODUCTION Two-dimensional (2D) crystals, such as graphene 1 and white graphene (WG, mono-or few-layered hexagonal boron nitride (h-BN)), 2,3 have triggered great interest because of their extraordinary intrinsic properties and wide range of applications in electronics, optoelectronics, energy storage and the environment. 4 However, for some specific applications, such as the adsorption of various contaminants and as electrodes in electrochemical cells, their pristine flat 2D structures have been recognized to not fully match the practical requirements. [5][6][7][8] In contrast, three-dimensional (3D) architectures using 2D crystals as building blocks can simultaneously provide the virtues of 2D and 3D structures, such as ultrathin sheets and large specific surface areas from 2D sheets 6 and hierarchical pores and ultralight densities from 3D configurations. 7 Recently, such novel 2D-3D structure features have been proven to exhibit new and outstanding performances. For instance, graphenecarbon nanotube 3D structures had densities as low as 0.16 mg cm − 3 , even lighter than air (1.29 mg cm − 3 ); 9 3D graphene and BN networks exhibited excellent mechanical properties; 10,11 3D BNC hybrid networks showed tunable electronic and thermal properties. 12 However, the high-yield fabrication of such 3D architectures of 2D crystals, especially without using any templates or catalysts, remains a great challenge. Currently, there are two methods for fabricating 3D

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“…said Weiare, today Emeritus professor, "We will call it an Italian Job". The paper with the picture was published in the same magazine in which Lord Kelvin had proposed the problem, more than a century before, the Philosophical Magazine [Gabbrielli et al 2012].…”

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confidence: 99%

Minimal Surfaces and Architecture: New Forms

Emmer

2013

Nexus Netw J

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An experimental realization of the Weaire–Phelan structure in monodisperse liquid foam

Cited by 49 publications

References 20 publications

Structure and energy of liquid foams

Structure and energy of liquid foams

3D white graphene foam scavengers: vesicant-assisted foaming boosts the gram-level yield and forms hierarchical pores for superstrong pollutant removal applications

Minimal Surfaces and Architecture: New Forms

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