Stochastic Analysis of Yielding System

The probability distribution of the instantaneous incremental yield of an inelastic system is characterized in terms of a conditional probability and average rate of crossing. The detailed yield statistics of a single degree-of-freedom elasto-plastic system under a Gaussian white noise are obtained for both nonstationary and stationary response. The present analysis indicates that the yield damage is sensitive to viscous damping. The spectra of mean and mean square damage rate are presented.

Design and fabrication of an automated temperature programmed reaction system to evaluate 3-way catalysts Ce1-x-y(La/Y)(x)PtyO2-delta

A completely automated temperature-programmed reaction (TPR) system for carrying out gas-solid catalytic reactions under atmospheric flow conditions is fabricated to study CO and hydrocarbon oxidation, and NO reduction. The system consists of an all-stainless steel UHV system, quadrupole mass spectrometer SX200 (VG Scientific), a tubular furnace and micro-reactor, a temperature controller, a versatile gas handling system, and a data acquisition and analysis system. The performance of the system has been tested under standard experimental conditions for CO oxidation over well-characterized Ce1-x-y(La/Y)(y)O2-delta catalysts. Testing of 3-way catalysis with CO, NO and C2H2 to convert to CO2, N-2 and H2O is done with this catalyst which shows complete removal of pollutants below 325 degrees C. Fixed oxide-ion defects in Pt substituted Ce1-y(La/Y)(y)O2-y/2 show higher catalytic activity than Pt ion-substituted CeO2.

Root system traits of Norway spruce, Scots pine, and silver birch in mixed boreal forests: an analysis of root architecture, morphology, and anatomy

The aim of this thesis was to unravel the functional-structural characteristics of root systems of Betula pendula Roth., Picea abies (L.) Karst., and Pinus sylvestris L. in mixed boreal forest stands differing in their developmental stage and site fertility. The root systems of these species had similar structural regularities: horizontally-oriented shallow roots defined the horizontal area of influence, and within this area, each species placed fine roots in the uppermost soil layers, while sinker roots defined the maximum rooting depth. Large radial spread and high ramification of coarse roots, and the high specific root length (SRL) and root length density (RLD) of fine roots indicated the high belowground competitiveness and root plasticity of B. pendula. Smaller radial root spread and sparser branching of coarse roots, and low SRL and RLD of fine roots of the conifers could indicate their more conservative resource use and high association with and dependence on ectomycorrhiza-forming fungi. The vertical fine root distributions of the species were mostly overlapping, implying the possibility for intense belowground competition for nutrients. In each species, conduits tapered and their frequency increased from distal roots to the stem, from the stem to the branches, and to leaf petioles in B. pendula. Conduit tapering was organ-specific in each species violating the assumptions of the general vascular scaling model (WBE). This reflects the hierarchical organization of a tree and differences between organs in the relative importance of transport, safety, and mechanical demands. The applied root model was capable of depicting the mass, length and spread of coarse roots of B. pendula and P. abies, and to the lesser extent in P. sylvestris. The roots did not follow self-similar fractal branching, because the parameter values varied within the root systems. Model parameters indicate differences in rooting behavior, and therefore different ecophysiological adaptations between species.

Interaction of metal ions with nucleic acids and related compounds. II. Studies on Au(III)-nucleic acid system

The nature of interaction of Au(III) with nucleic acids was studied by using methods such as uv and ir spectrophotometry, viscometry, pH titrations, and melting-temperature measurements. Au(III) is found to interact slowly with nucleic acids over a period of several hours. The uv spectra of native calf-thymus DNA 9pH 5.6 acetate buffer containing (0.01M NaCIO4) showed a shift in λ max to high wavelengths and an increase in optical density at 260 nm. There was a fourfold decrease in viscosity (expressed as ηsp/c). The reaction was faster at pH 4.0 and also with denatured DNA (pH 5.6) and whole yeast RNA (pH 5.6). The order of preference of Au(III) (as deduced from the time of completion of reaction) for the nucleic acids in RNA > denatured DNA > DNA. The reaction was found to be completely reversible with respect KCN. Infrared spectra of DNA-Au(III) complexes showed binding to both the phosphate and bases of DNA. The same conclusions were also arrived at by melting-temperature studies of Au(III)-DNA system. pH titrations showed liberation of two hydroxylions at r = 0.12 [r = moles of HAuCl4 added per mole of DNA-(P)] and one hydrogen ion at r = 0.5. The probable binding sites could be N(1)/N(7) of adenine, N(7) and/or C(6)O of guanine, N(3) of cytosine and N(3) of thymine. DNAs differing in their (G = C)-contents [Clostridium perfingens DNA(G = C, 29%), salmon sperm DNA (G + C, 42%) and Micrococcus lysodeikticus DNA(G + C, 29%), salmon sperm DNA (G = C, 72%)] behaved differently toward Au(III). The hyperchromicity observed for DNAs differing in (G + C)-content and cyanide reversal titrations indicate selectivity toward ( A + T)-rich DNA at lw values of r. Chemical analysis and job's continuous variation studies indicated the existence of possible complexes above and below r = 1. The results indicate that Au(III) ions probably bind to hte phosphate group in the initial stages of the reaction, particularly at low values of r, and participation of the base interaction also increases. Cross-linking of the two strands by Au(III) may take place, but a complete collapse of the doulbe helix is not envisaged. It is probable that tilting of the bases or rotaiton of the bases around the glucosidic bond, resulting in a significant distrotion of the double helix, might take place due to binding of Au(III) to DNA.

Antarctic ice shelf melting and its impact on the global sea ice-ocean system

Earth s ice shelves are mainly located in Antarctica. They cover about 44% of the Antarctic coastline and are a salient feature of the continent. Antarctic ice shelf melting (AISM) removes heat from and inputs freshwater into the adjacent Southern Ocean. Although playing an important role in the global climate, AISM is one of the most important components currently absent in the IPCC climate model. In this study, AISM is introduced into a global sea ice-ocean climate model ORCA2-LIM, following the approach of Beckmann and Goosse (2003; BG03) for the thermodynamic interaction between the ice shelf and ocean. This forms the model ORCA2-LIM-ISP (ISP: ice shelf parameterization), in which not only all the major Antarctic ice shelves but also a number of minor ice shelves are included. Using these two models, ORCA2-LIM and ORCA2-LIM-ISP, the impact of addition of AISM and increasing AISM have been investigated. Using the ORCA2-LIM model, numerical experiments are performed to investigate the sensitivity of the polar sea ice cover and the Antarctic Circumpolar Current (ACC) transport through Drake Passage (DP) to the variations of three sea ice parameters, namely the thickness of newly formed ice in leads (h0), the compressive strength of ice (P*), and the turning angle in the oceanic boundary layer beneath sea ice (θ). It is found that the magnitudes of h0 and P* have little impact on the seasonal sea ice extent, but lead to large changes in the seasonal sea ice volume. The variation in turning angle has little impact on the sea ice extent and volume in the Arctic but tends to reduce them in the Antarctica when ignored. The magnitude of P* has the least impact on the DP transport, while the other two parameters have much larger influences. Numerical results from ORCA2-LIM and ORCA2-LIM-ISP are analyzed to investigate how the inclusion of AISM affects the representation of the Southern Ocean hydrography. Comparisons with data from the World Ocean Circulation Experiment (WOCE) show that the addition of AISM significantly improves the simulated hydrography. It not only warms and freshens the originally too cold and too saline bottom water (AABW), but also warms and enriches the salinity of the originally too cold and too fresh warm deep water (WDW). Addition of AISM also improves the simulated stratification. The close agreement between the simulation with AISM and the observations suggests that the applied parameterization is an adequate way to include the effect of AISM in a global sea ice-ocean climate model. We also investigate the models capability to represent the sea ice-ocean system in the North Atlantic Ocean and the Arctic regions. Our study shows both models (with and without AISM) can successfully reproduce the main features of the sea ice-ocean system. However, both tend to overestimate the ice flux through the Nares Strait, produce a lower temperature and salinity in the Hudson Bay, Baffin Bay and Davis Strait, and miss the deep convection in the Labrador Sea. These deficiencies are mainly attributed to the artificial enlargement of the Nares Strait in the model. In this study, the impact of increasing AISM on the global sea ice-ocean system is thoroughly investigated. This provides a first idea regarding changes induced by increasing AISM. It is shown that the impact of increasing AISM is global and most significant in the Southern Ocean. There, increasing AISM tends to freshen the surface water, to warm the intermediate and deep waters, and to freshen and warm the bottom water. In addition, increasing AISM also leads to changes in the mixed layer depths (MLD) in the deep convection sites in the Southern Ocean, deepening in the Antarctic continental shelf while shoaling in the ACC region. Furthermore, increasing AISM influences the current system in the Southern Ocean. It tends to weaken the ACC, and strengthen the Antarctic coastal current (ACoC) as well as the Weddell Gyre and the Ross Gyre. In addition to the ocean system, increasing AISM also has a notable impact on the Antarctic sea ice cover. Due to the cooling of seawater, sea ice concentration and thickness generally become higher. In austral winter, noticeable increases in sea ice concentration mainly take place near the ice edge. In regards with sea ice thickness, large increases are mainly found along the coast of the Weddell Sea, the Bellingshausen and Amundsen Seas, and the Ross Sea. The overall thickening of sea ice leads to a larger volume of sea ice in Antarctica. In the North Atlantic, increasing AISM leads to remarkable changes in temperature, salinity and density. The water generally becomes warmer, more saline and denser. The most significant warming occurs in the subsurface layer. In contrast, the maximum salinity increase is found at the surface. In addition, the MLD becomes larger along the Greenland-Scotland-Iceland ridge. Global teleconnections due to AISM are studied. The AISM signal is transported with the surface current: the additional freshwater from AISM tends to enhance the northward spreading of the surface water. As a result, more warm and saline water is transported from the tropical region to the North Atlantic Ocean, resulting in warming and salt enrichment there. It would take about 30 40 years to establish a systematic noticeable change in temperature, salinity and MLD in the North Atlantic Ocean according to this study. The changes in hydrography due to increasing AISM are compared with observations. Consistency suggests that increasing AISM is highly likely a major contributor to the recent observed changes in the Southern Ocean. In addition, the AISM might contribute to the salinity contrast between the North Atlantic and North Pacific, which is important for the global thermohaline circulation.

Analysis of performance of a hot gas injection thrust vector control system

The complex three-dimensional flowfield produced by secondary injection of hot gases in a rocket nozzle for thrust vector control is analyzed by solving unsteady three-dimensional Euler equations with appropriate boundary conditions. Various system performance parameters like secondary jet amplification factor and axial thrust augmentation are deduced by integrating the nozzle wall pressure distributions obtained as part of the flowfield solution and compared with measurements taken in actual static tests. The agreement is good within the practical range of secondary injectant flow rates for thrust vector control applications.

Local systems, global impacts : Using life cycle assessment to analyse the potential and constraints of industrial symbioses

Human activities extract and displace different substances and materials from the earth s crust, thus causing various environmental problems, such as climate change, acidification and eutrophication. As problems have become more complicated, more holistic measures that consider the origins and sources of pollutants have been called for. Industrial ecology is a field of science that forms a comprehensive framework for studying the interactions between the modern technological society and the environment. Industrial ecology considers humans and their technologies to be part of the natural environment, not separate from it. Industrial operations form natural systems that must also function as such within the constraints set by the biosphere. Industrial symbiosis (IS) is a central concept of industrial ecology. Industrial symbiosis studies look at the physical flows of materials and energy in local industrial systems. In an ideal IS, waste material and energy are exchanged by the actors of the system, thereby reducing the consumption of virgin material and energy inputs and the generation of waste and emissions. Companies are seen as part of the chains of suppliers and consumers that resemble those of natural ecosystems. The aim of this study was to analyse the environmental performance of an industrial symbiosis based on pulp and paper production, taking into account life cycle impacts as well. Life Cycle Assessment (LCA) is a tool for quantitatively and systematically evaluating the environmental aspects of a product, technology or service throughout its whole life cycle. Moreover, the Natural Step Sustainability Principles formed a conceptual framework for assessing the environmental performance of the case study symbiosis (Paper I). The environmental performance of the case study symbiosis was compared to four counterfactual reference scenarios in which the actors of the symbiosis operated on their own. The research methods used were process-based life cycle assessment (LCA) (Papers II and III) and hybrid LCA, which combines both process and input-output LCA (Paper IV). The results showed that the environmental impacts caused by the extraction and processing of the materials and the energy used by the symbiosis were considerable. If only the direct emissions and resource use of the symbiosis had been considered, less than half of the total environmental impacts of the system would have been taken into account. When the results were compared with the counterfactual reference scenarios, the net environmental impacts of the symbiosis were smaller than those of the reference scenarios. The reduction in environmental impacts was mainly due to changes in the way energy was produced. However, the results are sensitive to the way the reference scenarios are defined. LCA is a useful tool for assessing the overall environmental performance of industrial symbioses. It is recommended that in addition to the direct effects, the upstream impacts should be taken into account as well when assessing the environmental performance of industrial symbioses. Industrial symbiosis should be seen as part of the process of improving the environmental performance of a system. In some cases, it may be more efficient, from an environmental point of view, to focus on supply chain management instead.  

Treatment of illicit opioid and γ-hydroxybutyrate overdose by Helsinki emergency medical services

Aims: To examine the characteristics, incidence, treatment and outcome of presumed opioid, γ-hydroxybutyrate (GHB) and γ-butyrolactone (GBL) overdoses involving users of illicit drugs in Helsinki. GHB/GBL were included in this study, despite not being opioids, due to the relative ease with which they can cause potentially fatal respiratory depression. The incidence and time interval of recurrent opioid toxicity after prehospital administration of naloxone, an opioid antagonist, was studied in presumed heroin overdose patients. Naloxone has been reported to have many adverse effects and the effects of naloxone administered during an opioid overdose on the cardiovascular system and catecholamine levels in piglets were studied. Materials and methods: Patients included in these published retrospective studies were from the following time periods: Study I: 1995-2002, II: 1997-2000, III: 1995-2000, V: 2006-2007. Presumed opioid overdose patients were examined in studies I, II and III. GHB/GBL overdoses among injecting drug users was examined in study V. Recurrent opioid toxicity after prehospital naloxone administration in heroin overdose patients was examined in study III. The effects of naloxone (80 μg/kg i.v.) on the cardiovascular system and catecholamine levels administered during morphine overdose (8mg/kg i.v.) and under propofol anesthesia with spontaneous breathing were studied in eight piglets (IV). In this thesis, previously unpublished data on the incidence of opioid overdose between 2001-2007 and comparison of the characteristics of buprenorphine and heroin overdose patients encountered in 1995-2005 are also included. Results: Helsinki Emergency Medical Service (EMS) ambulances were dispatched annually to 34,153- 45,118 calls from 1995 to 2007. Of them, 7-8% were coded as intoxications or overdoses. During this time, 436 patients were treated by the EMS for presumed opioid overdose. The peak incidence of opioid overdoses was in the year 2000 (113 cases), after which they declined to 6-26 cases annually. The annual incidence of buprenorphine related overdoses increased from 4 (4% of opioid overdoses) in the year 2000 to 8 (30% of opioid overdoses) in 2007. The annual number of GHB related overdose patients treated by Helsinki EMS increased from 21 to 73 between 2004-2007. There appeared to be a peak in the incidence of both GHB/GBL and opioid related overdoses on Saturdays. Characteristics of opioid overdose patients The median age of opioid overdose patients was 28 years (22;33, 25- and 75-percentiles), and 84% were male. Buprenorphine overdose patients had more polydrug, such as alcohol and/or benzodiazepines, use in comparison with heroin overdose patients, 70% versus 33%, respectively. Severe respiratory depression was reported less often with buprenorphine overdoses compared to heroin overdoses, in 67.0% versus 85.4%, respectively. Outcome of heroin overdose patients with cardiac arrest Ninety four patients suffered cardiac arrest due to acute drug poisoning/overdose and were thus considered for resuscitation. Resuscitation was attempted in 72 cases. Cardiac arrest was caused by heroin overdose for 19 patients of which three (16%) were discharged alive. Other agents also induced cardiac arrest in 53 patients, of which six (11%) were discharged alive. The arrest was either EMS witnessed or occurring after the emergency call for all survivors of heroin induced cardiac arrest. Characteristics of GHB/GBL overdose patients The records of 100 GHB/GBL related overdose patients from 2006-2007 were retrieved. The median age of GHB/GBL overdose patients encountered on weekend nights was 24 years (22;27, 25- and 75-percentiles) and 49% were male. Polydrug use was reported in 62-80% of the cases. Thirty nine patients were encountered on Friday-Saturday or Saturday-Sunday night between 11 pm-6 am. The remaining sixty one patients were outside this time frame. There was a statistically significant difference between these two groups in history of chronic injecting drug use (33% vs. 59%, respectively, p=0.012). Recurrent heroin toxicity after prehospital naloxone administration Study III included 145 presumed heroin overdose patients. After prehospital care, 84 patients refused further care and were not transported to an Emergency Department (ED). Seventy one (85%) of them were administered naloxone by the EMS. During a 12-h follow up period, none of these patients developed severe recurrent opioid toxicity. The remaining 61 patients were transported to an ED. Prior to transportation, 52 (85%) patients were administered naloxone by the EMS. Fifteen of them were administered naloxone also in the ED and recurrent opioid toxicity was evident either on arrival at the ED or shortly thereafter. Prehospital naloxone was administered either intravenously, intramuscularly (i.m.) or subcutaneously (s.c.). There was a tendency for more frequent recurrent heroin toxicity among the patients with only intravenous administration of prehospital naloxone (13/36) compared with the patients with intramuscular or subcutaneous prehospital naloxone (2/16), p=0.106. The effects of naloxone on the cardiovascular system and catecholamine levels in piglets The administration of morphine to piglets resulted in an obvious respiratory depression, which was reversed by naloxone. Two severely hypoxemic piglets developed cardiac arrest after naloxone administration. In the other six animals, the administration of naloxone did not provoke arrhythmias, cardiac ischemia or visible evidence of pulmonary edema. There was a statistically significant (p=0.012) increase in norepinephrine levels after morphine administration and before naloxone administration: from 1.9 (1.3-2.3) ng/ml at baseline, to 31.7 (8.3-83.0) ng/ml (median, 25 and 75 percentiles parentheses) after morphine administration. After the administration of naloxone, the catecholamine levels continued to increase in only one of the animals. Conclusions: The incidence of buprenorphine related overdoses increased during the study period, but was still lower in comparison to those involving heroin. Injecting drug users have also started to use GHB/GBL. While recreational drug users use GHB/GBL during weekend nights, a GHB/GBL overdose patient encounter during weekdays has a more probable history of injecting drug use. Patients with cardiac arrest after heroin overdose have a poor prognosis. It appears to be safe to leave heroin overdose patients on scene after prehospital treatment with naloxone. Although no statistically significant difference was observed, it seems prudent to administer part of the total naloxone dose s.c. or i.m. to reduce the risk of recurrent respiratory depression. If transported to an ED, an observation period of one to two hours after the last naloxone dose seems adequate. The treating physician must be vigilant, however, due to the high prevalence of polydrug use and high morbidity after non fatal heroin overdose. Furthermore, care should be taken regarding possible chronic disorders and drug rehabilitation should be addressed. In the experimental animal study, two animals developed cardiac arrest after receiving naloxone while in hypoxemia and bradycardia. Further studies are required to assess the effect of naloxone during opioid-induced hypercapnia and hypoxemia in animals addicted to opioids.

Oral health, smoking and adolescence

The present cross-sectional study examined the effect of smoking on oral health in a birth cohort of 15 to 16-year-old Finnish adolescents. The hypothesis was that oral health parameters were poorer among smoking than non-smoking subjects and that a tobacco intervention program could be effective among the adolescents. The study was conducted in the Kotka Health Center, Kotka, Finland. Altogether 501 out of 545 subjects (15- to 16-year-old boys [n = 258] and girls [n = 243]) were clinically examined in 2004 and 2005. The sample frame was a birth cohort of all subjects in 1989 and 1990, living in Kotka. A structured questionnaire was also filled in by the participants to record their general health and health habits, such as smoking, tooth brushing, and medication used. The participants were classified into nonsmokers, current smokers, and former smokers. Subgingival pooled plaque samples were taken and stimulated salivary samples were also collected. The subjects were asked from which of seven professional groups (doctors, school nurses, dental nurses, general nurses, dentists, teachers and media professionals) they would prefer to receive information about tobacco. The two most popular groups they picked up were dentists and school nurses. Current smokers (n=127) were then randomly assigned into three groups: the dentist group (n =44), the school-nurse group (n =42), and the control group (n =39). The intervention was based on a national recommendation of evidence based guidelines by The Finnish Medical Society Duodecim ( 5A counseling system). Two months after the intervention, a second questionnaire was sent to the smokers in the intervention groups. Smoking cessation, smoking quantity per week, and self-rated addiction for smoking (SRA) were recorded. The results were analyzed using the R-statistical program. The results showed that 15% of the subjects had periodontitis. Smokers (25%) had more periodontitis than non-smokers (66%) (p < 0.001). Smoking boys (24%) also had more caries lesions than non-smokers (69%) (p < 0.001), and they brushed their teeth less frequently than non-smokers. Smoking significantly impaired periodontal health of the subjects, even when the confounding effects of plaque and tooth brushing were adjusted. Smoking pack-years, intensified the effects of smoking. Periodontal bacteria Prevotella nigrescens, Prevotella intermedia, Tannerella forsythia and Treponema denticola were more frequently detected among the smokers than non-smokers, especially among smoking girls. Smoking significantly decreased the values of both the salivary periodontal biomarkers MMP-8 (p=0.04) and PMN elastase (p=0.02) in boys. The effect was strengthened by pack years of smoking (MMP-8 p=0.04; elastase p0.01). Of those who participated in the intervention, 19 % quit smoking. The key factors associated with smoking cessation were best friend`s influence, nicotine dependence and diurnal type. When the best friend was not a smoker, the risk ratio (RR) of quit smoking after the intervention was 7.0 (Cl 95% 4.6 10.7). Of the diurnal types, the morning people seemed to be more likely to quit (RR 2.2 [Cl 95% 1.4 3.6]). Nicotine dependence also elicited an opposite effect: those who scored between 3 and 5 dependence scores were less likely to quit. In conclusion, smoking appears to be a major etiological risk factor for oral health. However, the early signs of periodontal disease were mild in the subjects studied. Based on the opinions of the adolescent s, dental professionals may have a key position in their smoking cessation. The harmful effects of smoking on oral health could be used in counselling. Best friend`s influence, nicotine dependence and diurnal type, all factors associated with smoking cessation, should be taken more carefully into account in the prevention programs for adolescents.

Polarization studies in electromagnetic scattering by small Solar-system particles

In remote-sensing studies, particles that are comparable to the wavelength exhibit characteristic features in electromagnetic scattering, especially in the degree of linear polarization. These features vary with the physical properties of the particles, such as shape, size, refractive index, and orientation. In the thesis, the direct problem of computing the unknown scattered quantities using the known properties of the particles and the incident radiation is solved at both optical and radar spectral regions in a unique way. The internal electromagnetic fields of wavelength-scale particles are analyzed by using both novel and established methods to show how the internal fields are related to the scattered fields in the far zone. This is achieved by using the tools and methods that were developed specifically to reveal the internal field structure of particles and to study the mechanisms that relate the structure to the scattering characteristics of those particles. It is shown that, for spherical particles, the internal field is a combination of a forward propagating wave with the apparent wavelength determined by the refractive index of the particle, and a standing wave pattern with the apparent wavelength the same as for the incident wave. Due to the surface curvature and dielectric nature of the particle, the incident wave front undergoes a phase shift, and the resulting internal wave is focused mostly at the forward part of the particle similar to an optical lens. This focusing is also seen for irregular particles. It is concluded that, for both spherical and nonspherical particles, the interference at the far field between the partial waves that originate from these concentrated areas in the particle interior, is responsible for the specific polarization features that are common for wavelength-scale particles, such as negative values and local extrema in the degree of linear polarization, asymmetry of the phase function, and enhancement of intensity near the backscattering direction. The papers presented in this thesis solve the direct problem for particles with both simple and irregular shapes to demonstrate that these interference mechanisms are common for all dielectric wavelength-scale particles. Furthermore, it is shown that these mechanisms can be applied to both regolith particles in the optical wavelengths and hydrometeors at microwave frequencies. An advantage from this kind of study is that it does not matter whether the observation is active (e.g., polarimetric radar) or passive (e.g., optical telescope). In both cases, the internal field is computed for two mutually perpendicular incident polarizations, so that the polarization characteristics can then be analyzed according to the relation between these fields and the scattered far field.

S-matrix for magnons in the D1-D5 system

We show that integrability and symmetries of the near horizon geometry of the D1-D5 system determine the S-matrix for the scattering of magnons with polarizations in AdS(3) x S-3 completely up to a phase. Using semi-classical methods we evaluate the phase to the leading and to the one-loop approximation in the strong coupling expansion. We then show that the phase obeys the unitarity constraint implied by the crossing relations to the one-loop order. We also verify that the dispersion relation obeyed by these magnons is one-loop exact at strong coupling which is consistent with their BPS nature.

An Enantiospecific Approach to the 5-8-5 Tricyclic System of Basmanes

An enantiospecific synthesis of the 5-8-5 tricyclic ring system present in the basmane diterpenes has been accomplished, starting from ethyl 3-isopropyl-2-methylene-1-methylcyclopentane-acetate readily available in five steps from (R)-limonene] employing an RCM reaction for the annulation of cyclooctane and an intramolecular rhodium carbenoid CH insertion reaction for the construction of the cyclopentane ring.