Supplementary Information. Undecidability of the spectral gap

This is the supplementary information associated to the article: T.S. Cubitt, D. Perez-Garcia, M.M. Wolf, Undecidability of the spectral gap, Nature 528, 207-211 (2015), doi:10.1038/nature16059

Utilization of ADR Concepts to Bridge the Gap Between the Extractive Industry and Environmental Interests: An Anticipatory Cooperative Effort (ACE)

The extractive industry, more than any other sector of the economy, often finds itself mired in conflicts with various environmental and community interests. As traditional legal avenues of resolution gave way to the collaborative ideas of alternative dispute resolution, the outcomes, especially the relational outcomes, were less than desirable. This capstone project proposes that an Anticipatory Cooperative Effort (ACE) can help to bridge the gap between industry and environmental interests by encouraging a pro-active and pre-emptive engagement. The point of the ACE concept is not that it defines a new set of principles so much as it repositions where established ADR principles are entertained.

Comparing the distribution of the electronic gap of an organic molecule with its photoluminescence spectrum

The electronic gap structure of the organic molecule N,N′-diphenyl-N,N′-bis(3-methylphenyl)-(1,1′-biphenyl)-4,4′-diamine, also known as TPD, has been studied by means of a Scanning Tunneling Microscope (STM) and by Photoluminescence (PL) analysis. Hundreds of current-voltage characteristics measured at different spots of the sample show the typical behavior of a semiconductor. The analysis of the curves allows to construct a gap distribution histogram which reassembles the PL spectrum of this compound. This analysis demonstrates that STM can give relevant information, not only related to the expected value of a semiconductor gap but also on its distribution which affects its physical properties such as its PL.

Organotitanias: a versatile approach for band gap reduction in titania based materials

The reduction of the band gap of titania is critically important to fully utilize its photocatalytic properties. Two main strategies, i.e. doping and partial reduction of Ti(IV), are the main alternatives available to date. Herein, we report a new synthesis strategy based on one-pot co-condensation of in situ prepared polymetallic titanium-alkoxide complexes with titanium tetrabutoxide. Using this direct reaction, it is possible to introduce organic compounds in the anatase phase, causing site distortions in the crystalline structure of the network. By using this strategy, a yellow and a black titania have been produced, with the latter showing a remarkable photocatalytic activity under visible-light.

On the forbidden gap of finite graphene nanoribbons

The electronic structure of isolated finite graphene nanoribbons is investigated by solving, at the Hartree-Fock (HF) level, the Pariser, Parr and Pople (PPP) many-body Hamiltonian. The study is mainly focused on 7-AGNR and 13-AGNR (Armchair Graphene Nano-Ribbons), whose electronic structures have been recently experimentally investigated. Only paramagnetic solutions are considered. The characteristics of the forbidden gap are studied as a function of the ribbon length. For a 7-AGNR, the gap monotonically decreases from a maximum value of ~6.5 eV for short nanoribbons to a very small value of ~0.12 eV for the longer calculated systems. Gap edges are defined by molecular orbitals that are spatially localized near the nanoribbon extremes, that is, near both zig-zag edges. On the other hand, two delocalized orbitals define a much larger gap of about 5 eV. Conductance measurements report a somewhat smaller gap of ~3 eV. The small real gap lies in the middle of the one given by extended states and has been observed by STM and reproduced by DFT calculations. On the other hand, the length dependence of the gap is not monotonous for a 13-AGNR. It decreases initially but sharply increases for lengths beyond 30 Å remaining almost constant thereafter at a value of ~2.1 eV. Two additional states localized at the nanoribbon extremes show up at energies 0.31 eV below the HOMO (Highest Occupied Molecular Orbital) and above the LUMO (Lowest Unoccupied Molecular Orbital). These numbers compare favorably with those recently obtained by means of STS for a 13-AGNR sustained by a gold surface, namely 1.4 eV for the energy gap and 0.4 eV for the position of localized band edges. We show that the important differences between 7- and 13-AGNR should be ascribed to the charge rearrangement near the zig-zag edges obtained in our calculations for ribbons longer than 30 Å, a feature that does not show up for a 7-AGNR no matter its length.

Mesostructured zeolites: bridging the gap between zeolites and MCM-41

Surfactant-templating is one of the most versatile and useful techniques to implement mesoporous systems into solid materials. Various strategies based on various interactions between surfactants and solid precursors have been explored to produce new structures. Zeolites are invaluable as size- and shape-selective solid acid catalysts. Nevertheless, their micropores impose limitations on the mass transport of bulky feed and/or product molecules. Many studies have attempted to address this by utilizing surfactant-assisting technology to alleviate the diffusion constraints. However, most efforts have failed due to micro/mesopore phase separation. Recently, a new technique combining the uses of cationic surfactants and mild basic solutions was introduced to synthesise mesostructured zeolites. These materials sustain the unique characteristics of zeolites (i.e., strong acidity, crystallinity, microporosity, and hydrothermal stability), including tunable mesopore sizes and degrees of mesoporosity. The mesostructured zeolites are now commercially available through Rive Technology, and show superior performance in VGO cracking. This feature article provides an overview of recent explorations in the introduction of mesoporosity into zeolites using surfactant-templating techniques. Various porous materials, preparation methods, physical and catalytic properties of mesostructured zeolites will be discussed.

MOOCs, Open educational resources and social networking: bridging the gap between informal and formal learning

MOOCs and open educational resources (OER) provide a wealth of learning opportunities for people around the globe, many of whom have no access to formal higher education. OER are often difficult to locate and are accessed on their own without support from or dialogue with subject experts and peers. This paper looks at whether it is possible to develop effective learning communities around OER and whether these communities can emerge spontaneously and in a self-organised way without moderation. It examines the complex interplay between formal and informal learning, and examines whether MOOCs are the answer to providing effective interaction and dialogue for those wishing to study at university level for free on the Internet.

The Governance Gap in European Security and Defence. CEPS Policy Brief No. 310, 19 December 2013

The true causes of the EU’s inertia as a security actor in its neighbourhood and beyond are not a lack of capability or even austerity measures, but the absence of a core group of states committed to driving integration forward, argues Giovanni Faleg. Member states are reluctant to set clear common strategic priorities and struggle to agree on a revision of the institutional rules. Their strategic cultures and interests differ significantly; they hold different visions of the Common Security and Defence Policy (CSDP) and are unwilling to use the CSDP instruments at their disposal.

The transatlantic growth gap. CEPS Commentary, 5 August 2014

Daniel Gros argues in this commentary that the cause of the transatlantic growth gap following the recovery starting in 2010 from the global financial crisis should not be sought in excessive eurozone austerity or the excessive prudence of the European Central Bank. Rather, compared to the US, he argues that the excess debt created in the EU during the boom years has been much more difficult to work off. He acknowledges that European officials are right to promote structural reforms of EU countries’ labour and product markets, but advises that they should also focus on overhauling and accelerating bankruptcy procedures, so that losses can be recognised more quickly and over-indebted households can start afresh, rather than being shackled for years.

Closing the gap? Military co-operation from the Baltic Sea to the Black Sea. OSW Report, December 2012

The contracting defence budgets in Europe, the difficulties in developing the EU’s security policy, NATO's transformation, the reorientation of US security policy and the problems experienced by European defence industries – all together have in recent years created an increased interest in political, military and military-technological co-operation in Europe.It has manifested itself in concepts of closer co-operation within NATO and the EU (smart defence and pooling&sharing), bilateral and multilateral initiatives outside the structures of NATO and the EU (such as the Nordic Defence Co-operation or the Franco-British co-operation) and debates about the prerequisites, principles and objectives of bilateral, multilateral and regional security and defence co-operation. The present report aims to analyse the potential for security and defence co-operation among selected countries in the area between the Baltic Sea and the Black Sea, i.e. the Nordic states (Denmark, Finland, Norway and Sweden), the Baltic states (Lithuania Latvia and Estonia), Poland's partners in the Visegrad Group (the Czech Republic, Hungary and Slovakia) as well as Romania and Bulgaria. The authors were guided by the assumption that those states are Poland's natural partners for closer regional military co-operation. It may complement ‘the Western’ direction of Poland's security and defence policy, i.e. relations with the partners from the Weimar Triangle and the US. Its goal is not to replace the existing security structures but rather to strengthen military capabilities in the region within NATO and the EU.

Filling the gap: open economy considerations for more reliable potential output estimates. Bruegel Working Paper 2015/11, October 2015

This paper argues that the Phillips curve relationship is not sufficient to trace back the output gap, because the effect of excess demand is not symmetric across tradeable and non-tradeable sectors. In the non-tradeable sector, excess demand creates excess employment and inflation via the Phillips curve, while in the tradeable sector much of the excess demand is absorbed by the trade balance. We set up an unobserved-components model including both a Phillips curve and a current account equation to estimate ‘sustainable output’ for 45 countries. Our estimates for many countries differ substantially from the potential output estimates of the European Commission, IMF and OECD. We assemble a comprehensive real-time dataset to estimate our model on data which was available in each year from 2004-15. Our model was able to identify correctly the sign of pre-crisis output gaps using real time data for countries such as the United States, Spain and Ireland, in contrast to the estimates of the three institutions, which estimated negative output gaps real-time, while their current estimates for the pre-crisis period suggest positive gaps. In the past five years the annual output gap estimate revisions of our model, the European Commission, IMF, OECD and the Hodrick-Prescott filter were broadly similar in the range of 0.5-1.0 percent of GDP for advanced countries. Such large revisions are worrisome, because the European fiscal framework can translate the imprecision in output gap estimates into poorly grounded fiscal policymaking in the EU.

Evaluation of the usability and benefits of twist wire GMAW and FACW narrow gap welding /

"March 1988."

Strategic target planning : bridging the gap between theory and practice /

Mode of access: Internet.

Dredging alternatives study, Cubits Gap, Lower Mississippi River.

Cover title.