Assessment of CTF boiling transition and critical heat flux modeling capabilities using the OECD/NRC BFBT and PSBT benchmark databases

The need to refine models for best-estimate calculations, based on good-quality experimental data, has been expressed in many recent meetings in the field of nuclear applications. The modeling needs arising in this respect should not be limited to the currently available macroscopic methods but should be extended to next-generation analysis techniques that focus on more microscopic processes. One of the most valuable databases identified for the thermalhydraulics modeling was developed by the Nuclear Power Engineering Corporation (NUPEC), Japan. From 1987 to 1995, NUPEC performed steady-state and transient critical power and departure from nucleate boiling (DNB) test series based on the equivalent full-size mock-ups. Considering the reliability not only of the measured data, but also other relevant parameters such as the system pressure, inlet sub-cooling and rod surface temperature, these test series supplied the first substantial database for the development of truly mechanistic and consistent models for boiling transition and critical heat flux. Over the last few years the Pennsylvania State University (PSU) under the sponsorship of the U.S. Nuclear Regulatory Commission (NRC) has prepared, organized, conducted and summarized the OECD/NRC Full-size Fine-mesh Bundle Tests (BFBT) Benchmark. The international benchmark activities have been conducted in cooperation with the Nuclear Energy Agency/Organization for Economic Co-operation and Development (NEA/OECD) and Japan Nuclear Energy Safety (JNES) organization, Japan. Consequently, the JNES has made available the Boiling Water Reactor (BWR) NUPEC database for the purposes of the benchmark. Based on the success of the OECD/NRC BFBT benchmark the JNES has decided to release also the data based on the NUPEC Pressurized Water Reactor (PWR) subchannel and bundle tests for another follow-up international benchmark entitled OECD/NRC PWR Subchannel and Bundle Tests (PSBT) benchmark. This paper presents an application of the joint Penn State University/Technical University of Madrid (UPM) version of the well-known subchannel code COBRA-TF, namely CTF, to the critical power and departure from nucleate boiling (DNB) exercises of the OECD/NRC BFBT and PSBT benchmarks

Application of a Bayesian/Generalised Least-Squares method to generate correlations between independent neutron fission yield data

Fission product yields are fundamental parameters for several nuclear engineering calculations and in particular for burn-up/activation problems. The impact of their uncertainties was widely studied in the past and valuations were released, although still incomplete. Recently, the nuclear community expressed the need for full fission yield covariance matrices to produce inventory calculation results that take into account the complete uncertainty data. In this work, we studied and applied a Bayesian/generalised least-squares method for covariance generation, and compared the generated uncertainties to the original data stored in the JEFF-3.1.2 library. Then, we focused on the effect of fission yield covariance information on fission pulse decay heat results for thermal fission of 235U. Calculations were carried out using different codes (ACAB and ALEPH-2) after introducing the new covariance values. Results were compared with those obtained with the uncertainty data currently provided by the library. The uncertainty quantification was performed with the Monte Carlo sampling technique. Indeed, correlations between fission yields strongly affect the statistics of decay heat. Introduction Nowadays, any engineering calculation performed in the nuclear field should be accompanied by an uncertainty analysis. In such an analysis, different sources of uncertainties are taken into account. Works such as those performed under the UAM project (Ivanov, et al., 2013) treat nuclear data as a source of uncertainty, in particular cross-section data for which uncertainties given in the form of covariance matrices are already provided in the major nuclear data libraries. Meanwhile, fission yield uncertainties were often neglected or treated shallowly, because their effects were considered of second order compared to cross-sections (Garcia-Herranz, et al., 2010). However, the Working Party on International Nuclear Data Evaluation Co-operation (WPEC)

Assessment of CTF boiling transition and critical heat flux modeling capabilities using the OECD/NRC BFBT and PSBT benchmark databases

Over the last few years, the Pennsylvania State University (PSU) under the sponsorship of the US Nuclear Regulatory Commission (NRC) has prepared, organized, conducted, and summarized two international benchmarks based on the NUPEC data—the OECD/NRC Full-Size Fine-Mesh Bundle Test (BFBT) Benchmark and the OECD/NRC PWR Sub-Channel and Bundle Test (PSBT) Benchmark. The benchmarks’ activities have been conducted in cooperation with the Nuclear Energy Agency/Organization for Economic Co-operation and Development (NEA/OECD) and the Japan Nuclear Energy Safety (JNES) Organization. This paper presents an application of the joint Penn State University/Technical University of Madrid (UPM) version of the well-known sub-channel code COBRA-TF (Coolant Boiling in Rod Array-Two Fluid), namely, CTF, to the steady state critical power and departure from nucleate boiling (DNB) exercises of the OECD/NRC BFBT and PSBT benchmarks. The goal is two-fold: firstly, to assess these models and to examine their strengths and weaknesses; and secondly, to identify the areas for improvement.

Development of a methodology for nuclear data uncertainty propagation on isotopic evolution calculations for advanced nuclear systems

Una apropiada evaluación de los márgenes de seguridad de una instalación nuclear, por ejemplo, una central nuclear, tiene en cuenta todas las incertidumbres que afectan a los cálculos de diseño, funcionanmiento y respuesta ante accidentes de dicha instalación. Una fuente de incertidumbre son los datos nucleares, que afectan a los cálculos neutrónicos, de quemado de combustible o activación de materiales. Estos cálculos permiten la evaluación de las funciones respuesta esenciales para el funcionamiento correcto durante operación, y también durante accidente. Ejemplos de esas respuestas son el factor de multiplicación neutrónica o el calor residual después del disparo del reactor. Por tanto, es necesario evaluar el impacto de dichas incertidumbres en estos cálculos. Para poder realizar los cálculos de propagación de incertidumbres, es necesario implementar metodologías que sean capaces de evaluar el impacto de las incertidumbres de estos datos nucleares. Pero también es necesario conocer los datos de incertidumbres disponibles para ser capaces de manejarlos. Actualmente, se están invirtiendo grandes esfuerzos en mejorar la capacidad de analizar, manejar y producir datos de incertidumbres, en especial para isótopos importantes en reactores avanzados. A su vez, nuevos programas/códigos están siendo desarrollados e implementados para poder usar dichos datos y analizar su impacto. Todos estos puntos son parte de los objetivos del proyecto europeo ANDES, el cual ha dado el marco de trabajo para el desarrollo de esta tesis doctoral. Por tanto, primero se ha llevado a cabo una revisión del estado del arte de los datos nucleares y sus incertidumbres, centrándose en los tres tipos de datos: de decaimiento, de rendimientos de fisión y de secciones eficaces. A su vez, se ha realizado una revisión del estado del arte de las metodologías para la propagación de incertidumbre de estos datos nucleares. Dentro del Departamento de Ingeniería Nuclear (DIN) se propuso una metodología para la propagación de incertidumbres en cálculos de evolución isotópica, el Método Híbrido. Esta metodología se ha tomado como punto de partida para esta tesis, implementando y desarrollando dicha metodología, así como extendiendo sus capacidades. Se han analizado sus ventajas, inconvenientes y limitaciones. El Método Híbrido se utiliza en conjunto con el código de evolución isotópica ACAB, y se basa en el muestreo por Monte Carlo de los datos nucleares con incertidumbre. En esta metodología, se presentan diferentes aproximaciones según la estructura de grupos de energía de las secciones eficaces: en un grupo, en un grupo con muestreo correlacionado y en multigrupos. Se han desarrollado diferentes secuencias para usar distintas librerías de datos nucleares almacenadas en diferentes formatos: ENDF-6 (para las librerías evaluadas), COVERX (para las librerías en multigrupos de SCALE) y EAF (para las librerías de activación). Gracias a la revisión del estado del arte de los datos nucleares de los rendimientos de fisión se ha identificado la falta de una información sobre sus incertidumbres, en concreto, de matrices de covarianza completas. Además, visto el renovado interés por parte de la comunidad internacional, a través del grupo de trabajo internacional de cooperación para evaluación de datos nucleares (WPEC) dedicado a la evaluación de las necesidades de mejora de datos nucleares mediante el subgrupo 37 (SG37), se ha llevado a cabo una revisión de las metodologías para generar datos de covarianza. Se ha seleccionando la actualización Bayesiana/GLS para su implementación, y de esta forma, dar una respuesta a dicha falta de matrices completas para rendimientos de fisión. Una vez que el Método Híbrido ha sido implementado, desarrollado y extendido, junto con la capacidad de generar matrices de covarianza completas para los rendimientos de fisión, se han estudiado diferentes aplicaciones nucleares. Primero, se estudia el calor residual tras un pulso de fisión, debido a su importancia para cualquier evento después de la parada/disparo del reactor. Además, se trata de un ejercicio claro para ver la importancia de las incertidumbres de datos de decaimiento y de rendimientos de fisión junto con las nuevas matrices completas de covarianza. Se han estudiado dos ciclos de combustible de reactores avanzados: el de la instalación europea para transmutación industrial (EFIT) y el del reactor rápido de sodio europeo (ESFR), en los cuales se han analizado el impacto de las incertidumbres de los datos nucleares en la composición isotópica, calor residual y radiotoxicidad. Se han utilizado diferentes librerías de datos nucleares en los estudios antreriores, comparando de esta forma el impacto de sus incertidumbres. A su vez, mediante dichos estudios, se han comparando las distintas aproximaciones del Método Híbrido y otras metodologías para la porpagación de incertidumbres de datos nucleares: Total Monte Carlo (TMC), desarrollada en NRG por A.J. Koning y D. Rochman, y NUDUNA, desarrollada en AREVA GmbH por O. Buss y A. Hoefer. Estas comparaciones demostrarán las ventajas del Método Híbrido, además de revelar sus limitaciones y su rango de aplicación. ABSTRACT For an adequate assessment of safety margins of nuclear facilities, e.g. nuclear power plants, it is necessary to consider all possible uncertainties that affect their design, performance and possible accidents. Nuclear data are a source of uncertainty that are involved in neutronics, fuel depletion and activation calculations. These calculations can predict critical response functions during operation and in the event of accident, such as decay heat and neutron multiplication factor. Thus, the impact of nuclear data uncertainties on these response functions needs to be addressed for a proper evaluation of the safety margins. Methodologies for performing uncertainty propagation calculations need to be implemented in order to analyse the impact of nuclear data uncertainties. Nevertheless, it is necessary to understand the current status of nuclear data and their uncertainties, in order to be able to handle this type of data. Great eórts are underway to enhance the European capability to analyse/process/produce covariance data, especially for isotopes which are of importance for advanced reactors. At the same time, new methodologies/codes are being developed and implemented for using and evaluating the impact of uncertainty data. These were the objectives of the European ANDES (Accurate Nuclear Data for nuclear Energy Sustainability) project, which provided a framework for the development of this PhD Thesis. Accordingly, first a review of the state-of-the-art of nuclear data and their uncertainties is conducted, focusing on the three kinds of data: decay, fission yields and cross sections. A review of the current methodologies for propagating nuclear data uncertainties is also performed. The Nuclear Engineering Department of UPM has proposed a methodology for propagating uncertainties in depletion calculations, the Hybrid Method, which has been taken as the starting point of this thesis. This methodology has been implemented, developed and extended, and its advantages, drawbacks and limitations have been analysed. It is used in conjunction with the ACAB depletion code, and is based on Monte Carlo sampling of variables with uncertainties. Different approaches are presented depending on cross section energy-structure: one-group, one-group with correlated sampling and multi-group. Differences and applicability criteria are presented. Sequences have been developed for using different nuclear data libraries in different storing-formats: ENDF-6 (for evaluated libraries) and COVERX (for multi-group libraries of SCALE), as well as EAF format (for activation libraries). A revision of the state-of-the-art of fission yield data shows inconsistencies in uncertainty data, specifically with regard to complete covariance matrices. Furthermore, the international community has expressed a renewed interest in the issue through the Working Party on International Nuclear Data Evaluation Co-operation (WPEC) with the Subgroup (SG37), which is dedicated to assessing the need to have complete nuclear data. This gives rise to this review of the state-of-the-art of methodologies for generating covariance data for fission yields. Bayesian/generalised least square (GLS) updating sequence has been selected and implemented to answer to this need. Once the Hybrid Method has been implemented, developed and extended, along with fission yield covariance generation capability, different applications are studied. The Fission Pulse Decay Heat problem is tackled first because of its importance during events after shutdown and because it is a clean exercise for showing the impact and importance of decay and fission yield data uncertainties in conjunction with the new covariance data. Two fuel cycles of advanced reactors are studied: the European Facility for Industrial Transmutation (EFIT) and the European Sodium Fast Reactor (ESFR), and response function uncertainties such as isotopic composition, decay heat and radiotoxicity are addressed. Different nuclear data libraries are used and compared. These applications serve as frameworks for comparing the different approaches of the Hybrid Method, and also for comparing with other methodologies: Total Monte Carlo (TMC), developed at NRG by A.J. Koning and D. Rochman, and NUDUNA, developed at AREVA GmbH by O. Buss and A. Hoefer. These comparisons reveal the advantages, limitations and the range of application of the Hybrid Method.

Thermal Scattering Libraries Processing (F4E, Task 6.2)

Presentación del trabajo realizado en el marco del proyecto F4E, sobre el procesamiento de librerías de dispersión térmica de neutrones en formato ACE para su uso con el código MCNP. Se presentan tanto los métodos y procedimientos empleados, como los resultados y diferencias entre las distintas fuentes de datos.

Aplicación de la metodología ISA al análisis de la secuencia de pérdida del sistema de agua de refrigeración de componentes en una central nuclear con reactor de agua a presión

La metodología Integrated Safety Analysis (ISA), desarrollada en el área de Modelación y Simulación (MOSI) del Consejo de Seguridad Nuclear (CSN), es un método de Análisis Integrado de Seguridad que está siendo evaluado y analizado mediante diversas aplicaciones impulsadas por el CSN; el análisis integrado de seguridad, combina las técnicas evolucionadas de los análisis de seguridad al uso: deterministas y probabilistas. Se considera adecuado para sustentar la Regulación Informada por el Riesgo (RIR), actual enfoque dado a la seguridad nuclear y que está siendo desarrollado y aplicado en todo el mundo. En este contexto se enmarcan, los proyectos Safety Margin Action Plan (SMAP) y Safety Margin Assessment Application (SM2A), impulsados por el Comité para la Seguridad de las Instalaciones Nucleares (CSNI) de la Agencia de la Energía Nuclear (NEA) de la Organización para la Cooperación y el Desarrollo Económicos (OCDE) en el desarrollo del enfoque adecuado para el uso de las metodologías integradas en la evaluación del cambio en los márgenes de seguridad debidos a cambios en las condiciones de las centrales nucleares. El comité constituye un foro para el intercambio de información técnica y de colaboración entre las organizaciones miembro, que aportan sus propias ideas en investigación, desarrollo e ingeniería. La propuesta del CSN es la aplicación de la metodología ISA, especialmente adecuada para el análisis según el enfoque desarrollado en el proyecto SMAP que pretende obtener los valores best-estimate con incertidumbre de las variables de seguridad que son comparadas con los límites de seguridad, para obtener la frecuencia con la que éstos límites son superados. La ventaja que ofrece la ISA es que permite el análisis selectivo y discreto de los rangos de los parámetros inciertos que tienen mayor influencia en la superación de los límites de seguridad, o frecuencia de excedencia del límite, permitiendo así evaluar los cambios producidos por variaciones en el diseño u operación de la central que serían imperceptibles o complicados de cuantificar con otro tipo de metodologías. La ISA se engloba dentro de las metodologías de APS dinámico discreto que utilizan la generación de árboles de sucesos dinámicos (DET) y se basa en la Theory of Stimulated Dynamics (TSD), teoría de fiabilidad dinámica simplificada que permite la cuantificación del riesgo de cada una de las secuencias. Con la ISA se modelan y simulan todas las interacciones relevantes en una central: diseño, condiciones de operación, mantenimiento, actuaciones de los operadores, eventos estocásticos, etc. Por ello requiere la integración de códigos de: simulación termohidráulica y procedimientos de operación; delineación de árboles de sucesos; cuantificación de árboles de fallos y sucesos; tratamiento de incertidumbres e integración del riesgo. La tesis contiene la aplicación de la metodología ISA al análisis integrado del suceso iniciador de la pérdida del sistema de refrigeración de componentes (CCWS) que genera secuencias de pérdida de refrigerante del reactor a través de los sellos de las bombas principales del circuito de refrigerante del reactor (SLOCA). Se utiliza para probar el cambio en los márgenes, con respecto al límite de la máxima temperatura de pico de vaina (1477 K), que sería posible en virtud de un potencial aumento de potencia del 10 % en el reactor de agua a presión de la C.N. Zion. El trabajo realizado para la consecución de la tesis, fruto de la colaboración de la Escuela Técnica Superior de Ingenieros de Minas y Energía y la empresa de soluciones tecnológicas Ekergy Software S.L. (NFQ Solutions) con el área MOSI del CSN, ha sido la base para la contribución del CSN en el ejercicio SM2A. Este ejercicio ha sido utilizado como evaluación del desarrollo de algunas de las ideas, sugerencias, y los algoritmos detrás de la metodología ISA. Como resultado se ha obtenido un ligero aumento de la frecuencia de excedencia del daño (DEF) provocado por el aumento de potencia. Este resultado demuestra la viabilidad de la metodología ISA para obtener medidas de las variaciones en los márgenes de seguridad que han sido provocadas por modificaciones en la planta. También se ha mostrado que es especialmente adecuada en escenarios donde los eventos estocásticos o las actuaciones de recuperación o mitigación de los operadores pueden tener un papel relevante en el riesgo. Los resultados obtenidos no tienen validez más allá de la de mostrar la viabilidad de la metodología ISA. La central nuclear en la que se aplica el estudio está clausurada y la información relativa a sus análisis de seguridad es deficiente, por lo que han sido necesarias asunciones sin comprobación o aproximaciones basadas en estudios genéricos o de otras plantas. Se han establecido tres fases en el proceso de análisis: primero, obtención del árbol de sucesos dinámico de referencia; segundo, análisis de incertidumbres y obtención de los dominios de daño; y tercero, cuantificación del riesgo. Se han mostrado diversas aplicaciones de la metodología y ventajas que presenta frente al APS clásico. También se ha contribuido al desarrollo del prototipo de herramienta para la aplicación de la metodología ISA (SCAIS). ABSTRACT The Integrated Safety Analysis methodology (ISA), developed by the Consejo de Seguridad Nuclear (CSN), is being assessed in various applications encouraged by CSN. An Integrated Safety Analysis merges the evolved techniques of the usually applied safety analysis methodologies; deterministic and probabilistic. It is considered as a suitable tool for assessing risk in a Risk Informed Regulation framework, the approach under development that is being adopted on Nuclear Safety around the world. In this policy framework, the projects Safety Margin Action Plan (SMAP) and Safety Margin Assessment Application (SM2A), set up by the Committee on the Safety of Nuclear Installations (CSNI) of the Nuclear Energy Agency within the Organization for Economic Co-operation and Development (OECD), were aimed to obtain a methodology and its application for the integration of risk and safety margins in the assessment of the changes to the overall safety as a result of changes in the nuclear plant condition. The committee provides a forum for the exchange of technical information and cooperation among member organizations which contribute their respective approaches in research, development and engineering. The ISA methodology, proposed by CSN, specially fits with the SMAP approach that aims at obtaining Best Estimate Plus Uncertainty values of the safety variables to be compared with the safety limits. This makes it possible to obtain the exceedance frequencies of the safety limit. The ISA has the advantage over other methods of allowing the specific and discrete evaluation of the most influential uncertain parameters in the limit exceedance frequency. In this way the changes due to design or operation variation, imperceptibles or complicated to by quantified by other methods, are correctly evaluated. The ISA methodology is one of the discrete methodologies of the Dynamic PSA framework that uses the generation of dynamic event trees (DET). It is based on the Theory of Stimulated Dynamics (TSD), a simplified version of the theory of Probabilistic Dynamics that allows the risk quantification. The ISA models and simulates all the important interactions in a Nuclear Power Plant; design, operating conditions, maintenance, human actuations, stochastic events, etc. In order to that, it requires the integration of codes to obtain: Thermohydraulic and human actuations; Even trees delineation; Fault Trees and Event Trees quantification; Uncertainty analysis and risk assessment. This written dissertation narrates the application of the ISA methodology to the initiating event of the Loss of the Component Cooling System (CCWS) generating sequences of loss of reactor coolant through the seals of the reactor coolant pump (SLOCA). It is used to test the change in margins with respect to the maximum clad temperature limit (1477 K) that would be possible under a potential 10 % power up-rate effected in the pressurized water reactor of Zion NPP. The work done to achieve the thesis, fruit of the collaborative agreement of the School of Mining and Energy Engineering and the company of technological solutions Ekergy Software S.L. (NFQ Solutions) with de specialized modeling and simulation branch of the CSN, has been the basis for the contribution of the CSN in the exercise SM2A. This exercise has been used as an assessment of the development of some of the ideas, suggestions, and algorithms behind the ISA methodology. It has been obtained a slight increase in the Damage Exceedance Frequency (DEF) caused by the power up-rate. This result shows that ISA methodology allows quantifying the safety margin change when design modifications are performed in a NPP and is specially suitable for scenarios where stochastic events or human responses have an important role to prevent or mitigate the accidental consequences and the total risk. The results do not have any validity out of showing the viability of the methodology ISA. Zion NPP was retired and information of its safety analysis is scarce, so assumptions without verification or approximations based on generic studies have been required. Three phases are established in the analysis process: first, obtaining the reference dynamic event tree; second, uncertainty analysis and obtaining the damage domains; third, risk quantification. There have been shown various applications of the methodology and advantages over the classical PSA. It has also contributed to the development of the prototype tool for the implementation of the ISA methodology (SCAIS).

Avaliação da radioatividade natural em tintas de uso comercial no Brasil

A radioatividade natural presente em solos, rochas e materiais de construção, devida ao 40K e às séries radioativas do 232Th e 238U é a principal contribuição à exposição externa aos seres humanos. Neste trabalho, determinou-se as concentrações de atividade de 226Ra (da série do 238U), 232Th e 40K presentes em 50 amostras de tintas látex de cor branca comercializadas no Brasil, especificamente, 15 do tipo econômico, 15 do tipo standard, 20 do tipo premium e em uma amostra de dióxido de titânio. As amostras foram seladas e armazenadas por um período mínimo de 30 dias para se alcançar o equilíbrio radioativo secular nas séries do 238U e do 232Th e medidas pela técnica analítica de espectrometria gama de alta resolução. As concentrações de atividade foram calculadas utilizando-se as médias ponderadas pelas incertezas do 214Pb e 214Bi para o 226Ra e médias ponderadas pelas incertezas do 228Ac, 212Pb e 212Bi para o 232Th. A concentração de atividade do 40K foi determinada pela sua transição única de 1460,8 keV. Fatores de autoatenuação gama foram calculados e utilizados para correção da concentração de atividade das amostras com densidade maior que 1,0 g.cm-3. Os índices radiológicos equivalente em rádio (Raeq), índice de concentração de atividade (Iγ), índice de risco à exposição gama interna (Hin), o índice de risco à exposição gama externa (Hex) e a taxa de dose (D) e dose efetiva anual (Def) foram calculados a partir das concentrações de atividade do 226Ra, 232Th e 40K. As concentrações de atividade de 226Ra das tintas variaram entre valores abaixo da atividade mínima detectável e 38,7 Bq.kg-1, as de 232Th variaram entre valores abaixo da atividade mínima detectável e 101,2 Bq.kg-1 e as de 40K variaram entre valores abaixo da atividade mínima detectável e 256 Bq.kg-1. O Raeq variou entre 1,41 Bq.kg-1 e 203 Bq.kg-1, o Iγ variou entre 0,0047 e 0,720, o Hin variou entre 0,0076 e 0,653 e o Hex variou entre 0,0038 e 0,549. A taxa de dose variou de 0,170 nGy.h-1 a 21,3 nGy.h-1 e a dose efetiva anual variou entre 0,83 μSv.a-1 e 104,2 μSv.a-1. Estes resultados mostram que as concentrações de atividades das tintas utilizadas neste estudo estão abaixo dos limites recomendados por Hassan et al. para Raeq (370 Bq.kg-1), pela Comissão Européia para o Iγ (limite de 2 para materiais superficiais) e pela Organização para Cooperação Econômica e Desenvolvimento para Hin e para Hex (ambos com limite de 1), para todas as 50 amostras estudadas, mostrando assim a segurança destas tintas com relação a proteção radiológica.

Improvements in DFT Calculations of Spin–Spin Coupling Constants

Different types of spin–spin coupling constants (SSCCs) for several representative small molecules are evaluated and analyzed using a combination of 10 exchange functionals with 12 correlation functionals. For comparison, calculations performed using MCSCF, SOPPA, other common DFT methods, and also experimental data are considered. A detailed study of the percentage of Hartree–Fock exchange energy in SSCCs and in its four contributions is carried out. From the above analysis, a combined functional formed with local Slater (34%), Hartree–Fock exchange (66%), and P86 correlation functional (S66P86) is proposed in this paper. The accuracy of the values obtained with this hybrid functional (mean absolute deviation of 4.5 Hz) is similar to that of the SOPPA method (mean absolute deviation of 4.6 Hz).

Making Autonomies Matter: Sub-State Actor Accommodation in the Nordic Council and the Nordic Council of Ministers - An Analysis of the Institutional Framework for Accommodating the Faroe Islands, Greenland and Åland within ‘Norden’. EDAP Paper 03/2014

Sovereign powers are not absolute but exercised in varying areas and to varying degrees by sub-state, state and supra-state entities. The upward dispersion of power to international organisations carries implications for the sub-state level, while sub-state governance poses demands as to the conduct of governance at the international level. It is well recognised that sub-state entities, such as federal states and autonomies, may have the (restricted) capacity to enter into international relations. But what capacities do international organisations have to accommodate autonomies in their institutional frameworks? This paper shall present a case study of one such framework, namely Nordic co-operation and the accommodation of the Nordic autonomies, the Faroe Islands, Greenland and Åland, within its institutional framework. Within ‘Norden’, the position of autonomies has been scrutinised and adapted on several occasions, in the late 1960s, early 1980s and in the mid-2000s. The accommodation of the autonomies has been discussed in light of evident implications of statehood and international legal personality and the institutional arrangements eventually carved serve well to illustrate the challenges and opportunities international organisations face in the attempt to accommodate multi-level systems.

Exploring a Regional Approach to EU Energy Policies. CEPS Special Report No. 84, 15 April 2014

Regional approaches to EU energy policies have been termed the ‘Schengenisation’ of energy, making reference to the Schengen Convention eliminating intra-European border controls. They aim to hone the effectiveness of EU energy policy objectives through enhanced policy coordination at the regional scale. Typically, this includes energy market integration while accounting for member states’ continued deployment of national-level policy instruments regarding the appropriate energy mix and the security of energy supply, which is foreseen in the EU Treaty. This report explores the potential for such regional approaches. It assesses lessons from existing initiatives, regional energy arrangements such as the Danube Energy Forum, the Mediterranean Energy Forum, the Pentalateral Energy Forum, the North Seas Countries’ Offshore Grid Initiative and the Nordic Co-operation partnership, to determine whether regional energy initiatives are an efficient, effective and politically acceptable approach toward reaching three EU energy policy objectives: competitiveness, supply security and sustainability. Regional approaches could possibly play an important role for governing EU renewables policy, which the European Commission has identified in the 2030 climate and energy framework as an important element for governance.

Exploring a Regional Approach to EU Energy Policies. CEPS Special Report No. 84, April 2014

Regional approaches to EU energy policies have been termed the ‘Schengenisation’ of energy, making reference to the Schengen Convention eliminating intra-European border controls. They aim to hone the effectiveness of EU energy policy objectives through enhanced policy coordination at the regional scale. Typically, this includes energy market integration while accounting for member states’ continuing deployment of national-level policy instruments regarding the appropriate energy mix and the security of energy supply, which is foreseen in the EU Treaty. This report explores the potential for such regional approaches. It assesses lessons from existing initiatives, regional energy arrangements such as the Danube Energy Forum, the Mediterranean Energy Forum, the Pentalateral Energy Forum, the North Seas Countries’ Offshore Grid Initiative and the Nordic Co-operation partnership, to determine whether regional energy initiatives are an efficient, effective and politically acceptable approach toward reaching three EU energy policy objectives: competitiveness, supply security and sustainability. Regional approaches could possibly play an important role for governing EU renewables policy, which the European Commission has identified in the 2030 climate and energy framework as an important element for governance.

The NSA: the impact of the wiretapping scandal on German-American relations. OSW Commentary No. 124, 14.01.2014

Edward Snowden revealed that America’s National Security Agency (NSA) had tapped Chancellor Angela Merkel’s mobile phone and had collected date en masse. This has caused the largest crisis of confidence in relations between Germany and the US since the Iraq war. Due to the technological advantage which American intelligence services have, Germany wishes to continue close co-operation with the US but is making efforts to change the legal basis of this co-operation dating back to Cold War times. Berlin would like to secure part of provisions similar to the Five Eyes alliance – agreements signed between the US, the UK, Canada, New Zealand and Australia in the second half of the 1940s, aimed at intelligence sharing and a ban mutual bugging. This could spell the end of the last (not including the military presence) relic of Germany’s dependence on the US which emerged following World War II and took shape in the shadow of the Cold War. The process of Germany’s emancipation in trans-Atlantic relations, which began after Germany’s reunification, would be complete. The US is however opposed to such far-reaching changes as it is interested in continued co-operation with Germany without limiting it. Were it not to sign agreements satisfactory for Berlin, this would lead to a protracted crisis of confidence in German-American relations.

Patriarch Kirill's game over Ukraine. OSW Commentary No. 144, 14.08.2014

The protests on Kyiv’s Maidan which commenced in November 2013, followed by the conflict in Ukraine’s eastern regions, have redefined the political and social relations between Russia and Ukraine, and have added complexity to the dependences between the Orthodox Churches operating in the two countries. The Kremlin’s policy has put the Russian Orthodox Church–Moscow Patriarchate (ROC) in an awkward position. The ROC is Russia’s largest religious organisation, which also exercises symbolic sovereignty over Ukraine’s most numerous Orthodox community, the Ukrainian Orthodox Church–Moscow Patriarchate (UOC–MP), which since 13 August has had a new leader, Metropolitan Onufry. The head of the ROC, the Patriarch of Moscow and All-Russia, Kirill, has been facing a dilemma as to how he should respond to the Russian government’s aggressive policy towards Ukraine. His firm support of the Kremlin’s moves in Ukraine, may lose the Russian Church its social influence in this country. This might also catalyse a process within which Ukraine’s largest Orthodox Church would gradually become independent of Moscow. On the other hand, if he condemns the Kremlin’s policy, this would adversely affect the co-operation between ‘the altar and the throne’ which has been rapidly developing over the past few years in Russia, and which has offered multiple benefits to the Russian Church. As a result, Patriarch Kirill has distanced the ROC from the recent developments in Ukraine and has adopted a neutral stance. However, Kirill’s choice has aggravated the negative perception of the ROC among the Orthodox community in Ukraine. Given its close relations with the Kremlin, the ROC is increasingly viewed there as an instrument of political struggle and an exponent of the Russian government’s interests. The ROC’s stance has cast the UOC–MP, which has links with the Russian Church, in an unfavourable light, and has fostered its efforts to become more independent from the Moscow Patriarchate. Regardless of how the situation evolves, the recent developments in Ukraine have made it clear that the interests of the Russian Church and the Kremlin, which have coincided for years, now come into conflict, mainly due to the disagreement over the methods used. Despite this, the Russian Church is not withdrawing from the cooperation of ‘the altar and the throne’, and submits itself to the Kremlin’s decisions.

Germany on Russia. Yes to links, no to rapprochement. OSW Point of View Number 39, March 2014

The German media have been correctly describing the atmosphere between the Chancellor's Office and the Kremlin as the chilliest in years. Various factors have laid bare the fact that the strategic partnership between Germany and Russia is at best currently undergoing a 'technical pause’: the underwhelming outcomes of the German-Russian intergovernmental consultations in the autumn of 2012 and of Chancellor Merkel's meeting with President Putin during the Hanover fair in the spring of 2013, as well as the way in which the EU dealt with the Cyprus debt issue and, finally, the support that Germany has extended to the anti-presidential protests in Ukraine. Meanwhile, the priorities of Germany's foreign and economic policy have changed considerably, not only as a result of the eurozone crisis, but also, even more importantly, because the attention of German business and politics has been shifting to the so-called neue Gestaltungsmächte, or new regional powers. German politicians increasingly believe that Russia should not be offered new methods or mechanisms of co-operation. Firstly, because the existing ones have not been fully utilised, and secondly, because Germany at this stage seems to have no idea of what the long-term strategy of co-operation with Putin's Russia should be.

The ENP in practice - the European Union's policy towards Russia, Ukraine, Belarus and Moldova one year after the publication of the Strategy Paper. OSW Point of View, June 2005

Clear qualitative changes have taken place in relations between the European Union and its Eastern neighbours over the past year. The European Neighbourhood Policy (ENP) has been playing a significant part in the context of these changes. In the cases of Moldova and Ukraine, which are the countries interested in enhancing co-operation with the EU, the ENP has provided a formula that allows taking steps to implement this objective. The ENP has also contributed to "outlining an alternative" to Belarus' current self-isolation. However, the ENP has first of all given a clear message to Russia by specifying the EU's interests and objectives concerning Eastern Europe. The ENP has clearly stated that the EU wants to build democracy and a free market in those countries, and has signalled that the European Union intends to discuss the issues concerning the countries directly with them, and not through Moscow's offices.