Binding of Polarons and Atoms at Threshold

If the polaron coupling constant $\alpha$ is large enough, bipolarons or multi-polarons will form. When passing through the critical $\alpha_c$ from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explodes? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at $\alpha_c$. Similarly, we show that the same phenomenon occurs for atoms, e.g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schr\"odinger equation, and are very general. They use the fact that the Coulomb repulsion decays like $1/r$, while `uncertainty principle' localization energies decay more rapidly, as $1/r^2$.Comment: 19 page

Experimentations on the retrofitting of damaged Single Step Joints with Self-Tapping Screws

When assessing the roof of existing buildings, engineers may be confronted with structural joints badly preserved, for instance the damaged Single Step Joint (SSJ) located at the foot of timber trusses. Since the early appearance of failure modes in this traditional carpentry connection may lead to the collapse of the whole timber truss, the retrofitting of damaged SSJ is then required as an economically-viable intervention to stabilize the roof structure. In consequence, the retrofitting of damaged SSJ with Self-Tapping Screws (STS) has been conducted through the Experimental Campaign in order to explore further different possibilities offered by this recent intervention technique (Sobra et al. (2016)). To this end, two strategies, noted R1 and R2, have been proposed to retrofit the SSJ specimens with STS, which had been previously damaged due to both failure modes, namely the crushing at the front-notch surface and the shear crack in the tie beam (Verbist et al. (2017)). Afterwards, the SSJ specimens retrofitted with STS have been tested under monotonic compression in the rafter in order to pull out their mechanical behaviour encompassing the failure modes, the force-displacement response, the stiffness of the connection, and the ultimate normal force in the rafter. By comparing the mechanical behaviour of retrofitted SSJ specimens with the initial ones from Verbist et al. (2017), the performances of both retrofitting strategies with STS have been discussed. Furthermore, the impact of the shear row splitting on the mechanical behaviour of retrofitted SSJ has been evaluated, by providing some warnings to engineers when intervening in existing timber trusses featuring natural damage such as the shrinkage splitting.This work was financed by FEDER funds through the Competitively Factors Operational Programme - COMPETE and by national funds through FCT – Foundation for Science and Technology within the scope of the research projects INVISIBLE WOODS PTDC/EPH-PAT/2401/2014, PROTIMBER PTDC/ECM-EST/1072/2014, and the PhD Scholarships SFRH/BD/128580/2017.info:eu-repo/semantics/publishedVersio

IMEP-31: Total Arsenic, Cadmium, Copper, Lead and Mercury, as well as Extractable Cadmium and Lead in Mineral Feed - Interlaboratory Comparison Report

The Institute for Reference Materials and Measurements (IRMM) of the Joint Research Centre (JRC), a Directorate-General of the European Commission, operates the International Measurement Evaluation Programme® IMEP. It organises interlaboratory comparisons (ILC's) in support to EU policies. This report presents the results of an ILC which focussed on the determination of total As, Cd, Cu, Pb, and Hg, as well as extractable Cd and Pb in mineral feed according to Directive 2002/32/EC of the European Parliament and of the Council on undesirable substances in animal feed. The test material used in this exercise was the Certified Reference Material (CRM) BCR-032 (Moroccan phosphate rock) from the IRMM. The material was relabelled and each participant received one bottle containing approximately 100 g of test material. Fifty-six laboratories from 26 countries registered to the exercise and 51 of them reported results. Total As, Cd, Cu and Hg were certified in BCR-032 in 1979. The material was re-analysed by two expert laboratories and As an Cd values could be confirmed. Copper could not be analysed in time by an expert laboratory, and thus it was decided to use the indicative value from the certificate as assigned value. The assigned values for total Hg and total Pb were determined at IRMM by a primary method. The same method was used to determine extractable Cd and Pb, whose mass fractions appeared to be identical to the respective total mass fractions and thus the same assigned values were used. The standard deviation for proficiency assessment was set at 11 % for total As, 10 % for total and extractable Cd, 9 % for total Cu, and at 15 % for total Hg based on the modified Horwitz equation and/or the outcome of previous ILCs organised by IMEP. For total and extractable Pb, was set at 25 %. The majority of the laboratories reported uncertainties with their results and were rated with z- and ζ-scores (zeta-scores) in accordance with ISO 13528. Performances appear to be good for total & extractable Cd and total & extractable Pb, the percentage of satisfying z-scores ranging between 85 % and 89 %. Share of satisfactory z-scores are significantly lower for total As (61 %), Cu (67 %) and in particular for Hg (47 %). No distinct reason could be given, but it seems altogether that the analytical methods were not always adjusted to the inorganic test material, reflected by some influence of applied technique and inappropriate choice of reference material.JRC.DG.D.6-Food Safety and Qualit

IMEP-111: Total Cadmium, Lead, Arsenic, Mercury and Copper and Extractable Cadmium and Lead in Mineral Feed - Report of the Eleventh Interlaboratory Comparison Organised by the European Union Reference Laboratory for Heavy Metals in Feed and Food

The Institute for Reference Materials and Measurements (IRMM) of the Joint Research Centre, a Directorate-General of the European Commission, operates the European Union Reference Laboratory for Heavy Metals in Feed and Food (EU-RL-HM). One of its core tasks is to organize interlaboratory comparisons (ILCs) among appointed National Reference Laboratories. This report presents the results of the eleventh proficiency test (PT) of the EU-RL-HM which focused on the determination of total Cd, Pb, As, Hg and Cu and extractable Cd and Pb in mineral feed according to Directive 2002/32/EC of the European Parliament and of the Council on undesirable substances in animal feed. The test material used in this exercise was the Certified Reference Material (CRM) BCR-032, Moroccan phosphate rock. The material was relabelled to prevent identification by the participants and was dispatched the second half of October 2010. Each participant received one bottle containing approximately 100 g of test material. Thirty-one laboratories from 26 countries registered to the exercise of which 28 reported results for total Cd and total Pb, 25 for total Hg and total Cu, 23 for total As and for extractable Cd and extractable Pb. The assigned values (Xref) for total Cd, As and Cu are the indicative values taken from the BCR-032 certificate. The assigned values (Xref) for total Pb, total Hg and for extractable Cd and Pb were provided by IRMM using isotope dilution-inductively coupled plasma-mass spectrometry (ID-ICP-MS). For total Cd, As, Hg and Cu and for extractable Cd, the uncertainty of the assigned values (uref) was calculated by combining the uncertainty of the characterization (uchar) and a contribution for between-bottle homogeneity (ubb) (which was calculated from the certification report). For total and extractable Pb the number of replicates performed to establish the assigned value was higher (11 replicates) than for the other measurands (6 replicates). Since the aliquots were taken from different bottles, it was assumed that uchar included a contribution for the homogeneity. For total Cd, As and Cu, uchar were taken from the CRM certificate as indicated by the producer. For extractable Cd the same uchar as for total Cd was used. For total Pb and Hg and for extractable Pb, uchar was calculated according to the ISO Guide for the Expression of Uncertainty in Measurement (GUM). Participants were invited to report the uncertainties of their measurements. This was done by the majority of the laboratories taking part in this exercise.JRC.DG.D.6-Food Safety and Qualit

Spin singlet small bipolarons in Nb-doped BaTiO3

The magnetic susceptibility and electrical resistivity of n-type BaTi{1-x}Nb{x}O3 have been measured over a wide temperature range. It is found that, for 0 < x < 0.2, dopant electrons form immobile spin singlet small bipolarons with binding energy around 110 meV. For x = 0.2, a maximum in the electrical resistivity around 15 K indicates a crossover from band to hopping transport of the charge carriers, a phenomenon expected but rarely observed in real polaronic systems.Comment: 5 pages, 4 figure

A fracture mechanics analysis of the micromechanical events in finite thickness fibre push-out tests

Understanding the micromechanical events of interfacial failure in fibre reinforced composites is vital to accurately characterising micromechanical properties and, consequently, the macroscopic properties of the composite. A fracture mechanics model of the fibre push-out test is developed, with an emphasis on the effect of sample thickness and residual stresses on the mechanisms of interfacial crack advancement. The model is applied to both a SiC-SiC ceramic matrix composite and a SiC-Ti metal matrix composite. The model demonstrates that previous assumptions about the micromechanical events of interfacial cracking are consistent with the measured values of interfacial fracture energy for ceramic matrix composites. Moreover, the model can identify the range of geometries for which different micromechanical cracking mechanisms occur simultaneously in a given material system. Identifying this range is important in choosing the sample geometry for fibre push-out testing because the interaction of advancing cracks affects the measurement of interfacial fracture energy by classical models

Strong energy-momentum dispersion of phonon-dressed carriers in the lightly doped band insulator SrTiO3_3

Much progress has been made recently in the study of the effects of electron-phonon (el-ph) coupling in doped insulators using angle resolved photoemission (ARPES), yielding evidence for the dominant role of el-ph interactions in underdoped cuprates. As these studies have been limited to doped Mott insulators, the important question arises how this compares with doped band insulators where similar el-ph couplings should be at work. The archetypical case is the perovskite SrTiO$_3$ (STO), well known for its giant dielectric constant of 10000 at low temperature, exceeding that of La$_2$CuO$_4$ by a factor of 500. Based on this fact, it has been suggested that doped STO should be the archetypical bipolaron superconductor. Here we report an ARPES study from high-quality surfaces of lightly doped SrTiO$_3$. Comparing to lightly doped Mott insulators, we find the signatures of only moderate electron-phonon coupling: a dispersion anomaly associated with the low frequency optical phonon with a $\lambda'\sim0.3$ and an overall bandwidth renormalization suggesting an overall $\lambda'\sim0.7$ coming from the higher frequency phonons. Further, we find no clear signatures of the large pseudogap or small polaron phenomena. These findings demonstrate that a large dielectric constant itself is not a good indicator of el-ph coupling and highlight the unusually strong effects of the el-ph coupling in doped Mott insulators

Single step joint: overview of European standardized approaches and experimentations

In the field of the built heritage restoration, engineers have to work with old structures made of badly preserved timber elements. The assessment of timber elements and connections is a major issue for engineers involved in a restoration project. Before thinking about any intervention technics, engineers have to properly understand how the carpentry connections fail, which parameters influence the failure modes (geometry of the joint, mechanical properties of the wood,…) and how the internal forces are distributed into the joint to finally figure out how to design the traditional carpentry connections. The present paper aims to raise those questions focusing on the Single Step Joint design. Even if this common joint between the rafter and the tie beam is geometrically simple, one may pick up three geometrical configurations of Simple Notched Joints from the past till today: the geometrical configuration ideal (GCID), the geometrical configuration perpendicular to the tie beam (GCPTB) and the geometrical configuration perpendicular to the rafter (GCPR). The first one is more recent because it requires a highest accuracy production, and so the use of the new technologies (e.g., CNC). For each one, some general design rules about the geometrical parameters of the Single Step Joint are defined by some European standards (Siem and Jorissen, 2015), but no one details how to design this connection to prevent shear cracks at the heel depth or the compressive crushing at the joint contact surfaces. Hence the design rules and the emergence of failure modes according to the geometrical parameters of the Simple Notched Joint must be defined. In order to check the design equations and the failure modes, lab tests about the three geometrical configurations of the Single Step Joint have been carried out, varying the heel depth, the shear length and the inclination of the rafter