Bicontinuous Phase Research Articles

Low‐cost and high‐performance poly(butylene adipate‐co‐terephthalate)/thermoplastic starch blends prepared by an eccentric rotor extruder: Morphology, rheological behavior, thermal and mechanical properties

AbstractDue to similar processing and mechanical properties, poly(butylene adipate‐co‐terephthalate) (PBAT) is expected to be a fully‐biodegradable alternative to low‐density polyethylene (LDPE) packaging films, thereby alleviating environmental pollution caused by waste packaging films. However, the higher price of PBAT limits its large‐scale practical application in the packaging field. Blending with thermoplastic starch (TPS) to prepare PBAT/TPS blends can reduce the cost. In this work, the PBAT/TPS blends with different compositions were prepared using a novel eccentric rotor extruder dominated by an extensional flow field. With increasing the TPS content, a transition from the sea‐island phase structure to the bicontinuous phase structure occurred near the composition ratio of 50/50. Moreover, the dynamic mechanical analysis results showed that the compatibility between PBAT and TPS first improved and then deteriorated as the TPS content increased. As a result, the elongation at break first decreased slightly from ~1585% for the PBAT/TPS(90/10) blend to ~1263% for the PBAT/TPS(70/30) blend and dropped sharply to ~130% for the PBAT/TPS(40/60) blend. The knowledge obtained from this study will help us further understand the effect of the TPS phase on the micro‐morphology and macro‐properties of the PBAT/TPS blends, which is important for the future preparation of high‐performance PBAT/TPS blends.

One-pot upcycling strategy achieved in Bi-continuous thermal conductive polymer composites

Though upcycling post-consumer polymers into high-value materials is appealing, it faces challenges including complex, costly processes and difficulties to achieve a circular lifecycle. To address these issues, we have developed a novel approach that involves designing a unique bi-continuous phase morphology with selective distribution of the conductive fillers in the semi-crystalline polymer phase. As a result, these composites exhibited excellent thermal conductivity (7.07 W m−1·K−1) and stable environmental longevity (thermal aging and 500 h UV irradiation) and can be upcycled as effective flame retardant (vertical combustion grade V-0) and smoke suppressed materials (smoke density grade 64.1) after their service life as a thermal conductive material has ended. Rather than being discarded or undergo molecular upcycling, they could be straightforwardly repurposed through melt processing and even displayed better processability, suggesting a one-pot but effective upcycle strategy for polymeric materials.

Combinatorial Screening of Cationic Lipidoids Reveals How Molecular Conformation Affects Membrane-Targeting Antimicrobial Activity.

The search for next-generation antibacterial compounds that overcome the development of resistance can be facilitated by identifying how to target the cell membrane of bacteria. Understanding the key molecular features that enable interactions with lipids and lead to membrane disruption is therefore crucial. Here, we employ a library of lipid-like compounds (lipidoids) comprising modular structures with tunable hydrophobic and hydrophilic architecture to shed light on how the chemical functionality and molecular shape of synthetic amphiphilic compounds determine their activity against bacterial membranes. Synthesized from combinations of 8 different polyamines as headgroups and 13 acrylates as tails, 104 different lipidoids are tested for activity against a model Gram-positive bacterial strain (Bacillus subtilis). Results from the combinatorial screening assay show that lipidoids with the most potent antimicrobial properties (down to 2 μM) have intermediate tail hydrophobicity (i.e., c log P values between 3 and 4) and lower headgroup charge density (i.e., longer spacers between charged amines). However, the most important factor appeared to be the ability of a lipidoid to self-assemble into an inverse hexagonal liquid crystalline phase, as observed by small-angle X-ray scattering (SAXS) analysis. The lipidoids active at lowest concentrations, which induced the most significant membrane damage during propidium iodide (PI) permeabilization assays, were those that aggregated into highly curved inverse hexagonal liquid crystal phases. These observations suggest that the introduction of strong curvature stress into the membrane is one way to maximize membrane disruption and lipidoid antimicrobial activity. Lipidoids that demonstrated the ability to furnish this phase consisted of either (i) branched or linear headgroups with shorter linear tails or (ii) cyclic headgroups with 4 bulky nonlinear tails. On the contrary, lipidoids previously observed to adopt disc-like conformations that pack into bicontinuous cubic phases were significantly less effective against B. subtilis. The discovery of these structure-property relationships demonstrates that it is not simply a balance of hydrophobic and hydrophilic moieties that govern membrane-active antibacterial activity, but also their intrinsic curvature and collective behavior.

Effects of Nano- and Micro-sized Calcium Carbonate on the Thermal and Mechanical Properties of Poly(lactic acid)/Poly(butylene adipate-co-terephthalate) with Bi-continuous Phases

Effects of Nano- and Micro-sized Calcium Carbonate on the Thermal and Mechanical Properties of Poly(lactic acid)/Poly(butylene adipate-co-terephthalate) with Bi-continuous Phases

Effect of addition of triallyl isocyanurate and post‐ultraviolet irradiation on the selected properties of composites of poly(lactic acid), poly(butylene succinate) and nano‐sized calcium carbonate

AbstractComposites of poly(lactic acid) (PLA), poly(butylene succinate) (PBS), and nano‐sized calcium carbonate (CaCO3) with triallyl isocyanurate (TAIC), glycidyl methacrylate and benzophenone (BP) were prepared by using a double screw extruder and blown into films by extrusion blow molding. After exposure to ultraviolet (UV) light at 10, 20, and 40 J/cm2 of irradiation doses, the selected performances of the irradiated films were investigated. UV irradiation increased the tensile performances but had little effect on the thermal behaviors. Scanning electron microscope revealed that UV irradiation enhanced the connection between the two phases of PLA and PBS. The improvement in tensile properties was attributed to the formation of crosslinking during UV irradiation in the presence of TAIC and BP and the enhancement of the interface bonding between the two. However, excessive exposure reduced the elongation at break and fracture energy, attributed to the molecular chain breakage at high doses. On the other hand, the tensile performances improved and the light transmission decreased with increasing the TAIC content up to 2.5 phr after UV exposure at the same irradiation dose. UV irradiation was revealed to be a simple and effective technique to improve the tensile performances of LA/PBS/CaCO3 films with bicontinuous phases.

Molecular Architecture Effects on Bulk Nanostructure in Bis(Orthoborate) Ionic Liquids.

A series of 19 ionic liquids (ILs) based on phosphonium and imidazolium cations of varying alkyl-chain lengths with the orthoborate anions bis(oxalato)borate [BOB]- , bis(mandelato)borate, [BMB]- and bis(salicylato)borate, [BScB]- , are synthesized and studied using small-angle neutron scattering (SANS). All measured systems display nanostructuring, with 1-methyl-3-n-alkyl imidazolium-orthoborates forming clearly bicontinuous L3 spongelike phases when the alkyl chains are longer than C6 (hexyl). L3 phases are fitted using the Teubner and Strey model, and diffusely-nanostructured systems are primarily fitted using the Ornstein-Zernicke correlation length model. Strongly-nanostructured systems have a strong dependence on the cation, with molecular architecture variation explored to determine the driving forces for self-assembly. The ability to form well-defined complex phases is effectively extinguished in several ways: methylation of the most acidic imidazolium ring proton, replacing the imidazolium 3-methyl group with a longer hydrocarbon chain, substitution of [BOB]- by [BMB]- , or exchanging the imidazolium for phosphonium systems, irrespective of phosphonium architecture. The results suggest there is only a small window of opportunity, in terms of molecular amphiphilicity and cation:anion volume matching, for the formation of stable extensive bicontinuous domains in pure bulk orthoborate-based ILs. Particularly important for self-assembly processes appear to be the ability to form H-bonding networks, which offer additional versatility in imidazolium systems.

Nuclear Magnetic Resonance Studies of Bicontinuous Liquid Crystalline Phases of Cubic Symmetry: Transport Properties from 2H Nuclear Magnetic Resonance Relaxation Rates.

The ternary system didodecyltrimethylammonium bromide, 1-decanol, and water forms an extended reversed continuous phase of cubic symmetry at 25 °C. The cubic phase belongs to the space group Im3m, as shown by small-angle X-ray experiments. We present extensive deuterium NMR relaxation data from this cubic phase for 1-decanol, deuterated at the carbon adjacent to the hydroxyl carbon position. 2H spin-lattice (R1) and spin-spin (R2) relaxation rates were measured over the existence region of the cubic phase, which extends from 0.2 to 0.6 in volume fraction of the dividing bilayer surface of the cubic phase. The data are interpreted with an existing theoretical framework for NMR spin relaxation in bicontinuous cubic phases, which takes its starting point in the description of bicontinuous phases using periodic minimal surfaces. Specifically, we obtain the self-diffusion coefficient over the minimal surface in one unit cell for 1-decanol. We also present pulsed field gradient NMR-derived self-diffusion data for didodecyltrimethylammonium bromide and compare the two sets of data. The diffusion data for both components show a mild, if any, dependence on the volume fraction of the bilayer surface. Furthermore, we present diffusion data for the water component in the cubic phase. Finally, we discuss the influences of the choice of the value of the product of the deuterium quadrupole constant and the order parameter S. Within the framework of the model used to analyze the relaxation data, a value for this parameter is required. As an initial value, we rely on measurements of deuterium quadrupolar splittings from deuterated decanol in an anisotropic phase.

Preparation, compatibility and barrier properties of attapulgite/poly (lactic acid)/thermoplastic starch composites

In this study, AT (attapulgite)/PLA/TPS biocomposites and films were prepared by melt blending technique using PLA and TPS as matrix, polyethylene glycol (PEG) as plasticizing modifier of PLA and AT clay as additive. The effect of AT content on the performance of AT/PLA/TPS composites was investigated. The results showed that, as the AT concentration increased, the fracture surface of the composite showed a bicontinuous phase structure when the AT content was 3 wt%. The rheological properties showed that the addition of AT resulted in more significant deformation of the minor phase, which reduced the phase size and led to lower complex viscosity, and more processability from the industrial perspective. The mechanical properties showed that the addition of AT nanoparticles could simultaneously improve the tensile strength and elongation at break of the composites, reaching a maximum at 3 wt% load. The water vapor barrier performance results showed that AT significantly improved the WVP of the film, and the moisture resistance performance was increased by 254 % compared with the PLA/TPS composite film within 5 h. In conclusion, the obtained AT/PLA/TPS biocomposites showed potential in packaging engineering and injection molding products, especially when renewability and full biodegradability of the material are required.

Liquid sculpture and curing of bio-inspired polyelectrolyte aqueous two-phase systems

Aqueous two-phase systems (ATPS) provide imperative interfaces and compartments in biology, but the sculpture and conversion of liquid structures to functional solids is challenging. Here, inspired by phase evolution of mussel foot proteins ATPS, we tackle this problem by designing poly(ionic liquids) capable of responsive condensation and phase-dependent curing. When mixed with poly(dimethyl diallyl ammonium chloride), the poly(ionic liquids) formed liquid condensates and ATPS, which were tuned into bicontinuous liquid phases under stirring. Selective, rapid curing of the poly(ionic liquids)-rich phase was facilitated under basic conditions (pH 11), leading to the liquid-to-gel conversion and structure sculpture, i.e., the evolution from ATPS to macroporous sponges featuring bead-and-string networks. This mechanism enabled the selective embedment of carbon nanotubes in the poly(ionic liquids)-rich phase, which showed exceptional stability in harsh conditions (10 wt% NaCl, 80 oC, 3 days) and high (2.5 kg/m2h) solar thermal desalination of concentrated salty water under 1-sun irradiation.

Preparation and Properties of Poly(butylene adipate-co-terephthalate)/thermoplastic Hydroxypropyl Starch Composite Films Reinforced with Nano-Silica.

The use of biodegradable plastics is gradually increasing, but its expensive cost limits promotion. In this study, poly(butylene adipate-co-terephthalate)/thermoplastic hydroxypropyl starch reinforced with nano-silica (PBAT/TPHSg-SiO2) composite films with high hydroxypropyl starch content were prepared in a two-step process. The effect of reinforced thermoplastic hydroxypropyl starch on the mechanical, thermal, processing properties, and micromorphology of the composite films was investigated. The results showed that the tensile strength of the composite films was significantly improved by the addition of nano-silica, with 35% increase in horizontal tensile strength and 21% increase in vertical tensile strength after the addition of 4 phr of nano-silica. When the content of thermoplastic hydroxypropyl starch reinforced with nano-silica (TPHSg-4SiO2) is 40%, the horizontal and vertical tensile strengths of the films are 9.82 and 12.09 MPa, respectively, and the elongation at break of the films is over 500%. Electron micrographs show that TPHSg-4SiO2 is better homogeneously dispersed in the PBAT and exhibits a bi-continuous phase structure at a TPHSg-4SiO2 content of 40%. In this study, the blowing PBAT/TPHSg-4SiO2 composite films effectively reduce the cost and still show better mechanical properties, which are suitable for packaging applications.

Atomistic Simulation of Flow-Induced Microphase Separation and Crystallization of an Entangled Polyethylene Melt Undergoing Uniaxial Elongational Flow and the Role of Kuhn Segment Extension.

Atomistic simulations of the linear, entangled polyethylene C1000H2002 melt undergoing steady-state and startup conditions of uniaxial elongational flow (UEF) over a wide range of flow strength were performed using a united-atom model for the atomic interactions between the methylene groups constituting the polymer macromolecules. Rheological, topological, and microstructural properties of these nonequilibrium viscoelastic materials were computed as functions of strain rate, focusing on regions of flow strength where flow-induced phase separation and flow-induced crystallization were evident. Results of the UEF simulations were compared with those of prior simulations of planar elongational flow, which revealed that uniaxial and planar flows exhibited essentially a universal behavior, although over strain rate ranges that were not completely equivalent. At intermediate flow strength, a purely configurational microphase separation was evident that manifested as a bicontinuous phase composed of regions of highly stretched molecules that enmeshed spheroidal domains of relatively coiled chains. At high flow strength, a flow-induced crystallization (FIC) occurred, producing a semicrystalline material possessing a high degree of crystallinity and primarily a monoclinic lattice structure. This FIC phase formed at a temperature (450 K) high above the quiescent melting point (≈400 K) and remained stable after cessation of flow for temperature at or below 435 K. Careful examination of the Kuhn segments constituting the polymer chains revealed that the FIC phase only formed once the Kuhn segments had become essentially fully extended under the UEF flow field. Thermodynamic properties such as the heat of fusion and heat capacity were estimated from the simulations and found to compare favorably with experimental values.

Multiple Routes to Bicontinuous Cubic Liquid Crystal Phases Discovered by High-Throughput Self-Assembly Screening of Multi-Tail Lipidoids.

Bicontinuous cubic phases offer advantageous routes to a broad range of applied materials ranging from drug delivery devices to membranes. However, a priori design of molecules that assemble into these phases remains a technological challenge. In this article, a high-throughput synthesis of lipidoids that undergo protonation-driven self-assembly (PrSA) intoliquid crystalline (LC) phases is conducted. With this screening approach, 12 different multi-tail lipidoid structures capable of assembling into the bicontinuous double gyroid phase are discovered. The large volume of small-angle X-ray scattering (SAXS) data uncovers unexpected design criteria that enable phase selection as a function of lipidoid headgroup size and architecture, tail length and architecture, and counterion identity. Surprisingly, combining branched headgroups with bulky tails forces lipidoids to adopt unconventional pseudo-disc conformations that pack into double gyroid networks, entirely distinct from other synthetic or biological amphiphiles within bicontinuous cubic phases. From a multitude of possible applications, two examples of functional materials from lipidoid liquid crystals are demonstrated. First, the fabrication of gyroid nanostructured films by interfacial PrSA, which are rapidly responsive to the external medium. Second, it is shown that colloidally-dispersed lipidoid cubosomes, for example, for drug delivery, are easily assembled using top-down solvent evaporation methods.

Insight into the Mechanism of Porcine Myofibrillar Protein Gel Properties Modulated by κ-Carrageenan

The purpose of this study is to explain the mechanism of porcine myofibrillar protein gel properties modulated by κ-carrageenan. The textural properties results showed that the stress at fracture of the composite gel with 0.4% κ-carrageenan had the highest value (91.33 g), which suggested that the 0.4% κ-carrageenan addition was the limitation. The strain at fracture was significantly reduced with κ-carrageenan addition. The composite gel with 0.4% κ-carrageenan had the lowest proportion of T22 (7.85%) and the shortest T21 relaxation time (252.81 ms). The paraffin section showed that the phase separation behavior of the composite gel transformed from single-phase behavior to dispersed phase behavior to bi-continuous phase behavior, and the ratio of CG/MP phase area significantly increased from 0.06 to 1.73. The SEM showed that the three-dimensional network of myofibrillar protein transformed from a loose structure to a compact structure to an unaggregated structure with κ-carrageenan addition. The myofibrillar protein network of the treatment with 0.4% κ-carrageenan had the highest DF value (1.7858) and lowest lacunary value (0.452). The principal component analysis was performed on the data of microstructure and textural properties, and the results showed that the dispersed phase behavior and moisture stabilization promoted the aggregation of myofibrillar protein and the composite gel had better water holding capacity and textural properties, while bi-continuous phase behavior hindered the aggregation of myofibrillar protein and the composite gel had worse water holding capacity and textural properties.

Switchable Hydrophobic Pockets in DNA Protocells Enhance Chemical Conversion.

Synthetic cell models help us understand living cells and the origin of life. Key aspects of living cells are crowded interiors where secondary structures, such as the cytoskeleton and membraneless organelles/condensates, can form. These can form dynamically and serve structural or functional purposes, such as protection from heat shock or as crucibles for various biochemical reactions. Inspired by these phenomena, we introduce a crowded all-DNA protocell and encapsulate a temperature-switchable DNA-b-polymer block copolymer, in which the synthetic polymer phase-segregates at elevated temperatures. We find that thermoreversible phase segregation of the synthetic polymer occurs via bicontinuous phase separation, resulting in artificial organelle structures that can reorient into larger domains depending on the viscoelastic properties of the protocell interior. Fluorescent sensors confirm the formation of hydrophobic compartments, which enhance the reactivity of bimolecular reactions. This study leverages the strengths of biological and synthetic polymers to construct advanced biohybrid artificial cells that provide insights into phase segregation under crowded conditions and the formation of organelles and microreactors in response to environmental stress.

High‐Efficiency All‐Small‐Molecule Organic Solar Cells Based on New Molecule Donors with Conjugated Symmetric/Asymmetric Hybrid Cyclopentyl‐Hexyl Side Chains

AbstractAll small molecule organic solar cells (ASM‐OSCs) have numerous advantages but lower power conversion efficiencies (PCEs) than their polymer equivalents, which is largely due to the suboptimal nanoscale network structure in a bulk heterojunction (BHJ). Herein, new small molecule donors with symmetric/asymmetric hybrid cyclopentyl‐hexyl side chains are designed, accounting for manipulated intermolecular interactions and BHJ morphology. Theoretical and experimental results reveal that the asymmetric cyclopentyl‐hexyl side chains modification has a significant influence on potential energy surface and intermolecular interaction that can ensure preferable molecular assembly and regulate the D/A interfacial energetics, thus boosting the exciton dissociation and charge transport when pairing with a wide‐used acceptor L8‐BO. Concurrently, a nanoscale bicontinuous interpenetrating network with optimal domain size can be fully evolved in the BHJ layer. As a consequence, the As‐TCp‐based binary device achieves a superior PCE of 16.46% in comparison to that of the controlled symmetric counterparts S‐BF (14.92%) and A‐TCp (15.77%), and ranks one of best performance among ASM‐OSCs. This study demonstrates that precise manipulation of the cyclo‐alkyl chain in combination with the asymmetric 2D side chain strategy is an effective synergistic approach to control intermolecular interaction and nanoscale bicontinuous phase separation for achieving high‐performance ASM‐OSCs.

Impact-Protective Bicontinuous Hydrogel/Ultrahigh-Molecular Weight Polyethylene Fabric Composite with Multiscale Energy Dissipation Structures for Soft Body Armor.

Soft body armor greatly improves the comfort and security of the wearers. Although laminates based on high-performance fabrics have been adopted, it remains an enormous challenge to develop fabric laminates having flexibility, low bulge deformation, and ballistic protection capability simultaneously. Herein, we report a bullet-proof bicontinuous hydrogel (BH)/ultrahigh-molecular weight polyethylene fabric (UPF) composite. The presence of the BH significantly improves the impact resistance performance of the UPF, without compromising its flexibility. In specific, the multiscale energy dissipation structures composed of hydrogen bond associations in the chain scale, bicontinuous phase structures in the nanoscale, and fibers in the microscale are broken to dissipate energy. As a result, the impact energy of the bullet is greatly absorbed and the bulge height of the composites is significantly reduced in contrast to the neat UPF laminates. This study indicates that the flexible BH-UPF composites with multiscale energy dissipation structures have a promising application in soft body armor.

Molecular Dynamic and Dissipative Particle Dynamic Simulation on the Miscibility of NR/CR Blends.

Natural rubber (NR) exhibits good elasticity, flexural resistance, wear resistance, and excellent mechanical properties, and it has been widely used in aerospace, transportation, medical, and health fields. For NR, however, the resistance to thermal-oxidation and ozone aging is fairly poor. Although aging properties of NR can be significantly improved with the incorporation of chloroprene rubber (CR) according to some references, the miscibility between NR and CR, the morphologies of the binary blends, and so on are revealed ambiguously. In this work, molecular dynamics simulation (MD) and dissipative particle dynamics (DPD) simulation were carried out to predict the compatibility between natural rubber and chloroprene rubber in view of Flory-Huggins parameters. The morphologies of the blends were obtained with the use of the DPD method. The simulation results were furtherly examined by means of Fourier transform infrared spectroscopy (FT-IR) and dynamic mechanical analysis (DMA). It was found that the miscibility between NR and CR is poor. Nevertheless, the miscibility could be improved when the content of CR is 50% or 90%. In addition, spinodal decomposition with a critical temperature of 390 K would take place according to the phase diagram. Microphase structure such as spherical, lamellar, and bicontinuous phases can be found with different contents of CR in the blends with the results of morphologies analysis.

Microstructure determined the gel properties of gelatin/dextran more than the macrophase separation

Hydrogels are important in foods. Although the hydrogel microstructure has been commonly reported, the effect of the microstructure before and after gelation on gel properties was rarely investigated. This work aims to explore the effects of micro- and macro-phase separation of type-A gelatin-dextran (GE A /DE) aqueous solutions on the rheological, texture, and hydration properties of GE A /DE hydrogels. Three types of phase separation microstructures at both pH 5.0 and 7.0, e.g., DE-in-GE A emulsion, bicontinuous microstructure, and GE A -in-DE emulsion, were designed by adding different DE concentrations. GE A /DE mixtures showed macro-stability at pH 5.0, but macroscopic phase separation at pH 7.0, in which the phase separation time increased with the increasing DE concentration. During cooling-gelation, microstructures of mixtures were almost unchanged at pH 5.0, but significantly changed at pH 7.0. Interestingly, the microstructure determined the gel properties of phase-separated gels more than the macrophase separation. Microstructures of continuous phase with the gelling ability, e.g., DE-in-GE A and bicontinuous phase, hardly changed the moduli ( G′ and G″ ) and hardness of GE A /DE mixed gels, while the microstructure of GE A -in-DE without the gelling ability for continuous phase greatly reduced the moduli and hardness. This might be due to the different GE A volume fractions in GE A /DE mixed gels with different microstructures, and the mixed gel strength decreased with decreasing GE A volume fractions. Water holding capacity and swelling ratio of GE A /DE mixed gels reduced with the increasing DE concentration. This work provides some new information on how microstructure and macro-stability affect the physical properties of mixed gels. Effect of microstructure of GE A /DE before and after gelation on G′ and G″ at pH 5.0 and 7.0. • Three microstructures were designed based on gelatin/dextran phase separation. • Microstructures of macro-stable gelatin/dextran at pH 5.0 unchanged after gelation. • Microstructure determined gel properties more than the macrophase separation. • GE A volume fraction in the mixed gel might explain the effect of microstructures. • The gel strength of gelatin/dextran decreased with decreasing GE A volume fraction.

Why we should study protein binding to bicontinuous inverted cubic phases, to better understand membrane trafficking.

Many proteins bind to membranes in a curvature-sensitive manner. This includes some adaptors/effectors in the vesicle budding and fusion stages of membrane trafficking. Recently, others showed that some proteins bind preferentially to membranes with Gaussian curvature: they bind more strongly to spherical vesicles (with positive Gaussian curvature) than to tubules with the same mean curvature but zero local Gaussian curvature. Fusion and fission pores (which are intermediates in vesicle fusion & budding) have special curvature properties. Here I show that the surfaces of such pores have curvature that is qualitatively and quantitatively different than in the membrane systems conventionally used to assess curvature-sensitive protein binding (membrane vesicles and tubules). Hence, existing methods may miss proteins that have evolved to bind to pore-relevant curvatures. However, the curvature properties of bicontinuous inverted cubic (QII) phases are quite similar to those of fusion/fission pores. Specifically, both QII phases and fusion/fission pores have negative Gaussian curvature, which is true of neither vesicles nor tubules; have more negative mean curvature than many tubules; and gradients in mean curvature that are either absent or smaller in vesicles and tubules. QII phases can be equilibrated with peptide through the aqueous phase: it has been shown that proteins with molecular weights of several tens of kDa can enter the water channel networks and penetrate into aggregates of QII phase. Thus, we might find new adaptors/effectors of trafficking by studying peptide or protein binding to preparations of QII phase. Some features of QII phases make such experiments awkward. Only certain ranges of lipid compositions form QII phases, and, in phospholipids, temperature-cycling techniques or particular electrolyte compositions may be needed. Appropriate protocols will be proposed.

A phase retrieval algorithm for triply periodic minimal surface like structures.

A method to solve the crystallographic phase problem of materials with triply periodic minimal surface like structures, such as lyotropic liquid crystal bicontinuous cubic phases, is reported. In triply periodic minimal surface like structures, the difference between the maximum and minimum electron densities tends to be the smallest for the true phase combination among the possible combinations [Oka (2022). Acta Cryst. A78, 430-436]. Using this feature, a new iterative phase retrieval algorithm for structure determination was developed. The algorithm modifies electron densities outside the upper and lower thresholds in the iterative Fourier transformation process with fixed amplitudes for the structure factors, and efficiently searches for the structure with the smallest difference between the maximum and minimum electron densities. The proper structure was determined by this algorithm for all tested data for lyotropic liquid crystal bicontinuous cubic phases and mesoporous silicas. Although some cases required constraints such as the volume fraction for structure determination, more than half could be determined without any constraints, including space groups.