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1.
Small ; 20(20): e2308439, 2024 May.
Article in English | MEDLINE | ID: mdl-38112230

ABSTRACT

Graphene holds great potential for superconductivity due to its pure 2D nature, the ability to tune its carrier density through electrostatic gating, and its unique, relativistic-like electronic properties. At present, still far from controlling and understanding graphene superconductivity, mainly because the selective introduction of superconducting properties to graphene is experimentally very challenging. Here, a method is developed that enables shaping at will graphene superconductivity through a precise control of graphene-superconductor junctions. The method combines the proximity effect with scanning tunnelling microscope (STM) manipulation capabilities. Pb nano-islands are first grown that locally induce superconductivity in graphene. Using a STM, Pb nano-islands can be selectively displaced, over different types of graphene surfaces, with nanometre scale precision, in any direction, over distances of hundreds of nanometres. This opens an exciting playground where a large number of predefined graphene-superconductor hybrid structures can be investigated with atomic scale precision. To illustrate the potential, a series of experiments are performed, rationalized by the quasi-classical theory of superconductivity, going from the fundamental understanding of superconductor-graphene-superconductor heterostructures to the construction of superconductor nanocorrals, further used as "portable" experimental probes of local magnetic moments in graphene.

2.
Adv Mater ; 36(14): e2304243, 2024 Apr.
Article in English | MEDLINE | ID: mdl-38160244

ABSTRACT

2D materials, such as transition metal dichalcogenides, are ideal platforms for spin-to-charge conversion (SCC) as they possess strong spin-orbit coupling (SOC), reduced dimensionality and crystal symmetries as well as tuneable band structure, compared to metallic structures. Moreover, SCC can be tuned with the number of layers, electric field, or strain. Here, SCC in epitaxially grown 2D PtSe2 by THz spintronic emission is studied since its 1T crystal symmetry and strong SOC favor SCC. High quality of as-grown PtSe2 layers is demonstrated, followed by in situ ferromagnet deposition by sputtering that leaves the PtSe2 unaffected, resulting in well-defined clean interfaces as evidenced with extensive characterization. Through this atomic growth control and using THz spintronic emission, the unique thickness-dependent electronic structure of PtSe2 allows the control of SCC. Indeed, the transition from the inverse Rashba-Edelstein effect (IREE) in 1-3 monolayers (ML) to the inverse spin Hall effect (ISHE) in multilayers (>3 ML) of PtSe2 enabling the extraction of the perpendicular spin diffusion length and relative strength of IREE and ISHE is demonstrated. This band structure flexibility makes PtSe2 an ideal candidate to explore the underlying mechanisms and engineering of the SCC as well as for the development of tuneable THz spintronic emitters.

3.
J Steroid Biochem Mol Biol ; 235: 106408, 2023 12.
Article in English | MEDLINE | ID: mdl-37806531

ABSTRACT

Accurate quantification of 24(S)-hydroxycholesterol and 27-hydroxycholesterol holds substantial biological significance due to their involvement in pivotal cellular processes, encompassing cholesterol homeostasis, inflammatory responses, neuronal signaling, and their potential as disease biomarkers. The plasma determination of these oxysterols is challenging considering their low concentrations and similarities in terms of empirical formulae, molecular structure, and physicochemical properties across all human endogenous plasma oxysterols. To overcome these sensitivity and specificity issues, we developed and validated a quantification method using liquid chromatography coupled to a tandem mass spectrometry instrument. Validation studies were designed inspired by Clinical and Laboratory Standards Institute (CLSI) C62-A Guidelines. The linearity ranged between 20 and 300 nM for both oxysterols with limits of quantification at 20 nM and 30 nM for 24(S)-OHC and 27-OHC, respectively. Inter-day precision coefficient variations (CV) were lower than 10% for both oxysterols. An optimal separation of 25-OHC was obtained from 24(S)-OHC and 27-OHC with a resolution (Rs) > 1.25. The determination and validation of ion ratios for 24(S)-OHC and 27-OHC enabled another quality check in identifying interferents that could impact the quantification. Our developed and validated LC-MS/MS method allows consistent and reliable quantification of human plasmatic 24(S)-OHC and 27-OHC that is warranted in fundamental and clinical research projects.


Subject(s)
Hydroxycholesterols , Oxysterols , Humans , Chromatography, Liquid/methods , Tandem Mass Spectrometry/methods
4.
Adv Mater ; 33(22): e2008113, 2021 Jun.
Article in English | MEDLINE | ID: mdl-33890694

ABSTRACT

When magnetic atoms are inserted inside a superconductor, the superconducting order is locally depleted as a result of the antagonistic nature of magnetism and superconductivity. Thereby, distinctive spectral features, known as Yu-Shiba-Rusinov states, appear inside the superconducting gap. The search for Yu-Shiba-Rusinov states in different materials is intense, as they can be used as building blocks to promote Majorana modes suitable for topological quantum computing. Here, the first observation of Yu-Shiba-Rusinov states in graphene, a non-superconducting 2D material, and without the participation of magnetic atoms, is reported. Superconductivity in graphene is induced by proximity effect brought by adsorbing nanometer-scale superconducting Pb islands. Using scanning tunneling microscopy and spectroscopy the superconducting proximity gap is measured in graphene, and Yu-Shiba-Rusinov states are visualized in graphene grain boundaries. The results reveal the very special nature of those Yu-Shiba-Rusinov states, which extends more than 20 nm away from the grain boundaries. These observations provide the long-sought experimental confirmation that graphene grain boundaries host local magnetic moments and constitute the first observation of Yu-Shiba-Rusinov states in a chemically pure system.

5.
Phys Rev Lett ; 125(3): 036802, 2020 Jul 17.
Article in English | MEDLINE | ID: mdl-32745415

ABSTRACT

Doping a two-dimensional semiconductor with magnetic atoms is a possible route to induce magnetism in the material. We report on the atomic structure and electronic properties of monolayer WSe_{2} intentionally doped with vanadium atoms by means of scanning transmission electron microscopy and scanning tunneling microscopy and spectroscopy. Most of the V atoms incorporate at W sites. These V_{W} dopants are negatively charged, which induces a localized bound state located 140 meV above the valence band maximum. The overlap of the electronic potential of two charged V_{W} dopants generates additional in-gap states. Eventually, the negative charge may suppress the magnetic moment on the V_{W} dopants.

6.
Adv Mater ; 32(30): e2001119, 2020 Jul.
Article in English | MEDLINE | ID: mdl-32567110

ABSTRACT

Quantum confinement of graphene Dirac-like electrons in artificially crafted nanometer structures is a long sought goal that would provide a strategy to selectively tune the electronic properties of graphene, including bandgap opening or quantization of energy levels. However, creating confining structures with nanometer precision in shape, size, and location remains an experimental challenge, both for top-down and bottom-up approaches. Moreover, Klein tunneling, offering an escape route to graphene electrons, limits the efficiency of electrostatic confinement. Here, a scanning tunneling microscope (STM) is used to create graphene nanopatterns, with sub-nanometer precision, by the collective manipulation of a large number of H atoms. Individual graphene nanostructures are built at selected locations, with predetermined orientations and shapes, and with dimensions going all the way from 2 nm up to 1 µm. The method permits the patterns to be erased and rebuilt at will, and it can be implemented on different graphene substrates. STM experiments demonstrate that such graphene nanostructures confine very efficiently graphene Dirac quasiparticles, both in 0D and 1D structures. In graphene quantum dots, perfectly defined energy bandgaps up to 0.8 eV are found that scale as the inverse of the dot's linear dimension, as expected for massless Dirac fermions.

7.
Brain Cogn ; 134: 44-57, 2019 08.
Article in English | MEDLINE | ID: mdl-31128414

ABSTRACT

Embodied cognition studies have shown motor resonance during action language processing, indicating that linguistic representations are at least partially multimodal. However, constraints of this activation linked to linguistic and extra-linguistic context, function and timing have not yet been fully explored. Importantly, embodied cognition binds social and physical contexts to cognition, suggesting that more ecologically valid contexts will yield more valid measures of cognitive processing. Herein, we measured cortical motor activation during language processing in a fully immersive Cave automatic virtual environment (CAVE). EEG was recorded while participants engaged in a Go/No-Go task. They heard action verbs and, for Go trials, performed a corresponding action on a virtual object. ERSP (event-related spectral perturbation) was calculated during verb processing, corresponding to the pattern of power suppression (event-related desynchronization - ERD) and enhancement (event-related synchronization - ERS) relative to the reference interval. Significant ERD emerged during verb processing in both the µ (8-13 Hz) and beta band (20-30 Hz) for both Go and No-Go trials. µ ERD emerged in the 400-500 msec time window, associated with lexical-semantic processing. Greater µ ERD emerged for Go compared to No-Go trials. The present results provide compelling evidence in a naturalistic setting of how motor and linguistic processes interact.


Subject(s)
Cognition/physiology , Language , Motor Cortex/physiology , Virtual Reality , Adult , Electroencephalography/methods , Female , Humans , Male , Neuropsychological Tests , Young Adult
8.
EJNMMI Res ; 8(1): 93, 2018 Oct 01.
Article in English | MEDLINE | ID: mdl-30276498

ABSTRACT

BACKGROUND: The aim of this pilot study is to investigate the impact of virtual reality exposure therapy (VRET) on brain metabolism and connectivity. Eighteen patients with acrophobia were assessed by an 18F-FDG PET scan sensitized by virtual exposure before treatment, and nine of them were assessed again after eight sessions of VRET. Statistical Parametric Mapping was used to study the correlations between metabolism and pretherapeutic clinical scores and to compare metabolism before and after VRET (p voxel < 0.005, corrected for cluster volume). Metabolic connectivity was evaluated through interregional correlation analysis. RESULTS: Before therapy, a positive correlation was found between scores on the behavioural avoidance test and left occipital metabolism (BA17-18). After VRET, patients presented increased metabolism in the left frontal superior gyri and the left precentral gyrus, which showed increased metabolic connectivity with bilateral occipital areas (BA17-18-19), concomitant with clinical recovery. CONCLUSIONS: This study highlights the exciting opportunity to use brain PET imaging to investigate metabolism during virtual exposure and reports the involvement of the visual-motor control system in the treatment of acrophobia by VRET.

10.
Clin Biochem ; 54: 56-60, 2018 Apr.
Article in English | MEDLINE | ID: mdl-29470960

ABSTRACT

OBJECTIVES: To determine salivary cortisol reference intervals in a healthy adult population, at 6 different time points during a 24-hour (h) period. METHODS: In a prospective study, salivary cortisol concentrations were measured upon waking, one-hour post-waking and at specific times of the day: at 12 h00, 16 h00, 20 h00 and midnight. Samples were analyzed by the first and second-generation electrochemiluminescence assays (ECLIA) from Roche Cobas Cortisol®. RESULTS: Salivary cortisol values were obtained from 134 healthy volunteers. Reference intervals for the first-generation assay were 6.14-33.19 nmol/L (95% prediction interval) at waking, 5.42-28.06 nmol/L one-hour post-waking, 3.62-16.23 nmol/L at 12 h00, 2.78-15.27 nmol/L at 16 h00, 2.08-14.90 nmol/L at 20 h00 and 2.09-16.92 nmol/L at midnight. Mean salivary cortisol values were 14.63 nmol/L at waking and 6.44 nmol/L at midnight. Reference intervals for the second-generation assay were 1.50-22.02 nmol/L (2.5th to 97.5th percentiles) at waking, 1.50-20.87 nmol/L one-hour post-waking, 1.50-12.51 nmol/L at 12 h00, 1.50-13.03 nmol/L at 16 h00, 1.50-9.52 nmol/L at 20 h00 and 1.50-6.28 nmol/L at midnight. Values for the second-generation assay at all 6 different time points were almost half of the first-generation assay. The second-generation assay showed a better correlation with LC-MS/MS (r = 0,97). CONCLUSION: Our study confirms that reference intervals for salivary cortisol are not comparable across first and second-generation Roche Cobas Cortisol® assays. Furthermore, the second-generation assay has a better correlation with LC-MS/MS and a better analytical performance (accuracy and precision).


Subject(s)
Circadian Rhythm/physiology , Electrochemical Techniques , Hydrocortisone/metabolism , Luminescent Measurements , Saliva/metabolism , Adult , Aged , Female , Humans , Male , Middle Aged , Walking/physiology
11.
ACS Nano ; 12(3): 2319-2331, 2018 03 27.
Article in English | MEDLINE | ID: mdl-29384649

ABSTRACT

Van der Waals heterojunctions composed of graphene and transition metal dichalcogenides have gain much attention because of the possibility to control and tailor band structure, promising applications in two-dimensional optoelectronics and electronics. In this report, we characterized the van der Waals heterojunction MoSe2/few-layer graphene with a high-quality interface using cutting-edge surface techniques scaling from atomic to microscopic range. These surface analyses gave us a complete picture of the atomic structure and electronic properties of the heterojunction. In particular, we found two important results: the commensurability between the MoSe2 and few-layer graphene lattices and a band-gap opening in the few-layer graphene. The band gap is as large as 250 meV, and we ascribed it to an interface charge transfer that results in an electronic depletion in the few-layer graphene. This conclusion is well supported by electron spectroscopy data and density functional theory calculations. The commensurability between the MoSe2 and graphene lattices as well as the band-gap opening clearly show that the interlayer interaction goes beyond the simple van der Waals interaction. Hence, stacking two-dimensional materials in van der Waals heterojunctions enables us to tailor the atomic and electronic properties of individual layers. It also permits the introduction of a band gap in few-layer graphene by interface charge transfer.

12.
ACS Nano ; 11(11): 11206-11216, 2017 11 28.
Article in English | MEDLINE | ID: mdl-28992415

ABSTRACT

Few- and single-layer MoS2 host substantial densities of defects. They are thought to influence the doping level, the crystal structure, and the binding of electron-hole pairs. We disentangle the concomitant spectroscopic expression of all three effects and identify to what extent they are intrinsic to the material or extrinsic to it, i.e., related to its local environment. We do so by using different sources of MoS2-a natural one and one prepared at high pressure and high temperature-and different substrates bringing varying amounts of charged impurities and by separating the contributions of internal strain and doping in Raman spectra. Photoluminescence unveils various optically active excitonic complexes. We discover a defect-bound state having a low binding energy of 20 meV that does not appear sensitive to strain and doping, unlike charged excitons. Conversely, the defect does not significantly dope or strain MoS2. Scanning tunneling microscopy and density functional theory simulations point to substitutional atoms, presumably individual nitrogen atoms at the sulfur site. Our work shows the way to a systematic understanding of the effect of external and internal fields on the optical properties of two-dimensional materials.

13.
Genetics ; 205(2): 621-632, 2017 02.
Article in English | MEDLINE | ID: mdl-28007890

ABSTRACT

Retrotransposons are mobile genetic elements that colonize eukaryotic genomes by replicating through an RNA intermediate. As retrotransposons can move within the host genome, defense mechanisms have evolved to repress their potential mutagenic activities. In the fission yeast Schizosaccharomyces pombe, the mRNA of Tf2 long terminal repeat retrotransposons is targeted for degradation by the 3'-5' exonucleolytic activity of the exosome-associated protein Rrp6. Here, we show that the nuclear poly(A)-binding protein Pab2 functions with Rrp6 to negatively control Tf2 mRNA accumulation. Furthermore, we found that Pab2/Rrp6-dependent RNA elimination functions redundantly to the transcriptional silencing mediated by the CENP-B homolog, Abp1, in the suppression of antisense Tf2 RNA accumulation. Interestingly, the absence of Pab2 attenuated the derepression of Tf2 transcription and the increased frequency of Tf2 mobilization caused by the deletion of abp1 Our data also reveal that the expression of antisense Tf2 transcripts is developmentally regulated and correlates with decreased levels of Tf2 mRNA. Our findings suggest that transcriptional and post-transcriptional pathways cooperate to control sense and antisense RNAs expressed from Tf2 retroelements.


Subject(s)
Gene Expression Regulation, Fungal , RNA, Antisense/genetics , Retroelements , Schizosaccharomyces/genetics , DNA-Binding Proteins/genetics , DNA-Binding Proteins/metabolism , Gene Silencing , Poly(A)-Binding Proteins/genetics , Poly(A)-Binding Proteins/metabolism , Schizosaccharomyces pombe Proteins/genetics , Schizosaccharomyces pombe Proteins/metabolism , Terminal Repeat Sequences
14.
Clin Biochem ; 50(4-5): 210-216, 2017 Mar.
Article in English | MEDLINE | ID: mdl-27863211

ABSTRACT

OBJECTIVE: Our objective was to compare the ECLIA from Roche versus the LC-MS/MS method for quantitation of serum 25-hydroxy-vitamin D in patients who have undergone bariatric surgery. DESIGN AND METHODS: Cross-sectional and correlational studies were performed on three different groups for the 25-OH-D levels quantitated by both methods. The control group of apparently healthy subjects was randomly selected in a clinical chemistry laboratory. Test groups were patients who had undergone bilio-pancreatic diversion (BPD) and were supplemented either with vitamin D2 or with vitamin D3. The number of samples per group was established according to the CLSI recommendation protocol (EPO9-A2-IR). RESULTS: The agreement of LC-MS/MS with the Roche method was acceptable in the apparently healthy subjects group and in the post-BPD D3-supplemented group with an average bias of -1.7% and -9.2%, respectively. However, this agreement was unacceptable in the post-BPD D2-supplemented group with an average bias of -45.3%. The LC-MS/MS enabled us to detect four patients who had excess vitamin D or poisoning with vitamin D for which it was necessary to stop the supplementation with vitamin D in the D2 -supplemented group. CONCLUSION: Despite the apparent good agreement between the Roche method and LC-MS/MS in the healthy subjects group and in the post-DBP D3-supplemented patient group, a considerable bias seems to exist, particularly in the presence of D2. The LC-MS/MS method is therefore the most accurate method to follow the vitamin D2 -supplemented bariatric population.


Subject(s)
25-Hydroxyvitamin D 2/administration & dosage , Calcifediol/administration & dosage , Dietary Supplements , Obesity/blood , 25-Hydroxyvitamin D 2/blood , Adult , Aged , Bariatric Surgery , Biliopancreatic Diversion , Blood Chemical Analysis , Calcifediol/blood , Case-Control Studies , Combined Modality Therapy , Cross-Sectional Studies , Follow-Up Studies , Humans , Middle Aged , Obesity/surgery , Reproducibility of Results , Tandem Mass Spectrometry
15.
Science ; 352(6284): 437-41, 2016 Apr 22.
Article in English | MEDLINE | ID: mdl-27102478

ABSTRACT

Isolated hydrogen atoms absorbed on graphene are predicted to induce magnetic moments. Here we demonstrate that the adsorption of a single hydrogen atom on graphene induces a magnetic moment characterized by a ~20-millielectron volt spin-split state at the Fermi energy. Our scanning tunneling microscopy (STM) experiments, complemented by first-principles calculations, show that such a spin-polarized state is essentially localized on the carbon sublattice opposite to the one where the hydrogen atom is chemisorbed. This atomically modulated spin texture, which extends several nanometers away from the hydrogen atom, drives the direct coupling between the magnetic moments at unusually long distances. By using the STM tip to manipulate hydrogen atoms with atomic precision, it is possible to tailor the magnetism of selected graphene regions.

16.
Neurosci Lett ; 602: 84-8, 2015 Aug 18.
Article in English | MEDLINE | ID: mdl-26145315

ABSTRACT

Much is known about how different spatial reference frames continually interact to support spatial navigation, but less explored is whether it is more crucial to process object-to-object information or egocentric heading information for effective orientation in a cluttered environment. To address this question, we evaluated the possible influence on spatial performance of an interactive aerial view of different scale (small vs. large) comprising an arrow indicating participants' egocentric heading. Results revealed that the presence of a small interactive aerial view including a visualized larger arrow facilitated the retrieval of stored spatial layout. These data are consistent with recent studies revealing the role of retrosplenial cortex in translating between different spatial reference frames, and may contribute to elucidate the continuous synchronization between the inter-object direction information in the environment with respect to egocentric current heading.


Subject(s)
Space Perception , Spatial Behavior , Adult , Computer Simulation , Female , Humans , Male , Orientation , User-Computer Interface , Young Adult
17.
Stud Health Technol Inform ; 219: 64-8, 2015.
Article in English | MEDLINE | ID: mdl-26799881

ABSTRACT

The general aim of the present study was to investigate the effect of an interactive aerial view of the experienced environment during the encoding and retrieving of spatial information on the feeling of presence. Our findings showed that this real-time interactive aerial view (both small and large) during the encoding and retrieval of spatial information seems to led to a greater sense of presence. It is argued that the use of this aerial view, which provides a real-time allocentric viewpoint-dependent spatial representation, would ease the translation of a stored allocentric representation into an egocentric one, and this process, consequently, would help individuals to feel present in space.


Subject(s)
Space Perception , User-Computer Interface , Adult , Female , Humans , Male , Orientation
18.
Traffic ; 14(3): 282-94, 2013 Mar.
Article in English | MEDLINE | ID: mdl-23279110

ABSTRACT

Nuclear poly(A)-binding proteins (PABPs) are evolutionarily conserved proteins that play key roles in eukaryotic gene expression. In the fission yeast Schizosaccharomyces pombe, the major nuclear PABP, Pab2, functions in the maturation of small nucleolar RNAs as well as in nuclear RNA decay. Despite knowledge about its nuclear functions, nothing is known about how Pab2 is imported into the nucleus. Here, we show that Pab2 contains a proline-tyrosine nuclear localization signal (PY-NLS) that is necessary and sufficient for its nuclear localization and function. Consistent with the role of karyopherin ß2 (Kapß2)-type receptors in the import of PY-NLS cargoes, we show that the fission yeast ortholog of human Kapß2, Kap104, binds to recombinant Pab2 and is required for Pab2 nuclear localization. The absence of arginine methylation in a basic region N-terminal to the PY-core motif of Pab2 did not affect its nuclear localization. However, in the context of a sub-optimal PY-NLS, we found that Pab2 was more efficiently targeted to the nucleus in the absence of arginine methylation, suggesting that this modification can affect the import kinetics of a PY-NLS cargo. Although a sequence resembling a PY-NLS motif can be found in the human Pab2 ortholog, PABPN1, our results indicate that neither a functional PY-NLS nor Kapß2 activity are required to promote entry of PABPN1 into the nucleus of human cells. Our findings describe the mechanism by which Pab2 is imported into the nucleus, providing the first example of a PY-NLS import system in fission yeast. In addition, this study suggests the existence of alternative or redundant nuclear import pathways for human PABPN1.


Subject(s)
Cell Nucleus/metabolism , Poly(A)-Binding Protein II/metabolism , Poly(A)-Binding Protein I/metabolism , Poly(A)-Binding Proteins/metabolism , Schizosaccharomyces pombe Proteins/metabolism , Schizosaccharomyces/metabolism , beta Karyopherins/metabolism , Active Transport, Cell Nucleus , Amino Acid Motifs , Arginine/metabolism , Binding Sites , HeLa Cells , Humans , Nuclear Localization Signals , Poly(A)-Binding Protein I/chemistry , Poly(A)-Binding Protein I/genetics , Poly(A)-Binding Protein II/chemistry , Poly(A)-Binding Protein II/genetics , Poly(A)-Binding Proteins/genetics , Proline/chemistry , Protein Transport , Schizosaccharomyces/genetics , Schizosaccharomyces pombe Proteins/chemistry , Schizosaccharomyces pombe Proteins/genetics , Tyrosine/chemistry , beta Karyopherins/genetics
19.
Nanoscale Res Lett ; 6(1): 171, 2011 Feb 24.
Article in English | MEDLINE | ID: mdl-21711702

ABSTRACT

In this article, a multiscale investigation of few graphene layers grown on 6H-SiC(000-1) under ultrahigh vacuum (UHV) conditions is presented. At 100-µm scale, the authors show that the UHV growth yields few layer graphene (FLG) with an average thickness given by Auger spectroscopy between 1 and 2 graphene planes. At the same scale, electron diffraction reveals a significant rotational disorder between the first graphene layer and the SiC surface, although well-defined preferred orientations exist. This is confirmed at the nanometer scale by scanning tunneling microscopy (STM). Finally, STM (at the nm scale) and Raman spectroscopy (at the µm scale) show that the FLG stacking is turbostratic, and that the domain size of the crystallites ranges from 10 to 100 nm. The most striking result is that the FLGs experience a strong compressive stress that is seldom observed for graphene grown on the C face of SiC substrates.

20.
J Opt Soc Am A Opt Image Sci Vis ; 23(2): 349-58, 2006 Feb.
Article in English | MEDLINE | ID: mdl-16477840

ABSTRACT

We propose an effective-medium theory for random aggregates of small spherical particles that accounts for the finite size of the embedding volume. The technique is based on the identification of the first two orders of the Born series within a finite volume for the coherent field and the effective field. Although the convergence of the Born series requires a finite volume, the effective constants that are derived through this identification are shown to admit of a large-scale limit. With this approach we recover successively, and in a simple manner, some classical homogenization formulas: the Maxwell Garnett mixing rule, the effective-field approximation, and a finite-size correction to the quasi-crystalline approximation (QCA). The last formula is shown to coincide with the usual low-frequency QCA in the limit of large volumes, while bringing substantial improvements when the dimension of the embedding medium is of the order of the probing wavelength. An application to composite spheres is discussed.

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