9 research outputs found

    Modelling energetics and stability of carbon nanotubes : a novel approach

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    This thesis is devoted to the developement of a classical model for the study of the energetics and stability of carbon nanotubes. The motivation behind such a model stems from the fact that production of nanotubes in a well-controlled manner requires a detailed understanding of their energetics. In order to study this different theoretical approaches are possible, ranging from the computationally expensive quantum mechanical first principle methods to the relatively simple classical models. A wisely developed classical model has the advantage that it could be used for systems of any possible size while still producing reasonable results. The model developed in this thesis is based on the well-known liquid drop model without the volume term and hence we call it liquid surface model. Based on the assumption that the energy of a nanotube can be expressed in terms of its geometrical parameters like surface area, curvature and shape of the edge, liquid surface model is able to predict the binding energy of nanotubes of any chirality once the total energy and the chiral indices of it are known. The model is suggested for open end and capped nanotubes and it is shown that the energy of capped nanotubes is determined by five physical parameters, while for the open end nanotubes three parameters are sufficient. The parameters of the liquid surface model are determined from the calculations performed with the use of empirical Tersoff and Brenner potentials and the accuracy of the model is analysed. It is shown that the liquid surface model can predict the binding energy per atom for capped nanotubes with relative error below 0.3% from that calculated using Brenner potential, corresponding to the absolute energy difference being less than 0.01 eV. The influence of the catalytic nanoparticle on top of which a nanotube grows, on the nanotube energetics is also discussed. It is demonstrated that the presence of catalytic nanoparticle changes the binding energy per atom in such a way that if the interaction of a nanotube with the catalytic nanoparticle is weak then attachment of an additional atom to a nanotube is an energetically favourable process, while if the catalytic nanoparticle nanotube interaction is strong , it becomes energetically more favourable for the nanotube to collapse. The suggested model gives important insights in the energetics and stability of nanotubes of different chiralities and is an important step towards the understanding of nanotube growth process. Young modulus and curvature constant are calculated for single-wall carbon nanotubes from the paremeters of the liquid surface model and demonstrated that the obtained values are in agreement with the values reported earlier both theoretically and experimentally. The calculated Young modulus and the curvature constant were used to conclude about the accuracy of the Tersoff and Brenner potentials. Since the parameters of the liquid surface model are obtained from the Tersoff and Brenner potential calculations, the agreement of elastic properties derived from these parameters corresponds to the fact that both potentials are capable of describing the elastic properties of nanotubes. Finally, the thesis discuss the possible extension of the model to various systems of interest.Kohlenstoffnanoröhren (englisch Carbon Nanotubes kurz CNT), sind zylindrische Kohlenstoffallotrope, deren Durchmesser im Nanometerbereich liegen. Seit ihrer Entdeckung 1991 durch Sumio Iijima (NEC) [1] wurden viele außergewöhnliche Eigenschaften der CNT erforscht, die das Potential besitzen sowohl Technologie als auch Forschung in diesem Gebiet in großem Maße zu revolutionieren. Obwohl ein detailliertes experimentelles Verständnis von Kohlenstoffnanoröhren und ihren Eigenschaften vorhanden ist, konnten keine großen Fortschritte aus theoretischer Sicht erzielt werden. Dies führt zu einem der meist diskutierten Probleme im Gebiet der Kohlenstoffnanoröhrenforschung: die kontrollierte Herstellung von Nanoröhren. Trotz großer Bemühungen der Experimentalphysiker Kohlenstoffnanoröhren hoher Qualität zu produzieren, ist das Problem noch ungelöst, da es ein tieferes Verständnis von Kohlenstoffnanoröhren aus einer theoretischen Perspektive voraussetzt. Um die Charakteristiken von Kohlenstoffnanoröhren theoretisch zu untersuchen, werden verschiedene Methoden erwendet, die von ab initio first priciple Methoden über empirische Potentiale bis hin zu klassischen Modellen reichen. Ab initio Methoden sind rechnerisch teuer, so dass sie auf Systeme mit wenigen Atomen limitiert werden müssen. Empirische Potenziale können für größere Systeme verwendet werden, aber auch sie haben ihre Grenzen, wenn es um die Größe des betrachteten Systems geht. Um zum Beispiel ein System mit Millionen von Atomen zu analysieren, werden empirische Potentiale nicht gewählt. In solch einem Fall werden stattdessen klassische Modelle als sinnvoller Ersatz angewandt. Jedes Modell basiert auf einem Parametersatz, der mit ab initio Methoden oder mit empirischen Potentialen bestimmt worden ist. Sind die Parameter des Modells berechnet, kann das Modell dazu verwendet werden, die Eigenschaften des betrachteten Systems vorherzusagen. ..

    Connectivity percolation in suspensions of hard platelets

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    We present a study on connectivity percolation in suspensions of hard platelets by means of Monte Carlo simulation. We interpret our results using a contact-volume argument based on an effective single--particle cell model. It is commonly assumed that the percolation threshold of anisotropic objects scales as their inverse aspect ratio. While this rule has been shown to hold for rod-like particles, we find that for hard plate-like particles the percolation threshold is non-monotonic in the aspect ratio. It exhibits a shallow minimum at intermediate aspect ratios and then saturates to a constant value. This effect is caused by the isotropic-nematic transition pre-empting the percolation transition. Hence the common strategy to use highly anisotropic, conductive particles as fillers in composite materials in order to produce conduction at low filler concentration is expected to fail for plate-like fillers such as graphene and graphite nanoplatelets

    Cerebral microbleeds and intracranial haemorrhage risk in patients anticoagulated for atrial fibrillation after acute ischaemic stroke or transient ischaemic attack (CROMIS-2):a multicentre observational cohort study

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    Background: Cerebral microbleeds are a potential neuroimaging biomarker of cerebral small vessel diseases that are prone to intracranial bleeding. We aimed to determine whether presence of cerebral microbleeds can identify patients at high risk of symptomatic intracranial haemorrhage when anticoagulated for atrial fibrillation after recent ischaemic stroke or transient ischaemic attack. Methods: Our observational, multicentre, prospective inception cohort study recruited adults aged 18 years or older from 79 hospitals in the UK and one in the Netherlands with atrial fibrillation and recent acute ischaemic stroke or transient ischaemic attack, treated with a vitamin K antagonist or direct oral anticoagulant, and followed up for 24 months using general practitioner and patient postal questionnaires, telephone interviews, hospital visits, and National Health Service digital data on hospital admissions or death. We excluded patients if they could not undergo MRI, had a definite contraindication to anticoagulation, or had previously received therapeutic anticoagulation. The primary outcome was symptomatic intracranial haemorrhage occurring at any time before the final follow-up at 24 months. The log-rank test was used to compare rates of intracranial haemorrhage between those with and without cerebral microbleeds. We developed two prediction models using Cox regression: first, including all predictors associated with intracranial haemorrhage at the 20% level in univariable analysis; and second, including cerebral microbleed presence and HAS-BLED score. We then compared these with the HAS-BLED score alone. This study is registered with ClinicalTrials.gov, number NCT02513316. Findings: Between Aug 4, 2011, and July 31, 2015, we recruited 1490 participants of whom follow-up data were available for 1447 (97%), over a mean period of 850 days (SD 373; 3366 patient-years). The symptomatic intracranial haemorrhage rate in patients with cerebral microbleeds was 9·8 per 1000 patient-years (95% CI 4·0–20·3) compared with 2·6 per 1000 patient-years (95% CI 1·1–5·4) in those without cerebral microbleeds (adjusted hazard ratio 3·67, 95% CI 1·27–10·60). Compared with the HAS-BLED score alone (C-index 0·41, 95% CI 0·29–0·53), models including cerebral microbleeds and HAS-BLED (0·66, 0·53–0·80) and cerebral microbleeds, diabetes, anticoagulant type, and HAS-BLED (0·74, 0·60–0·88) predicted symptomatic intracranial haemorrhage significantly better (difference in C-index 0·25, 95% CI 0·07–0·43, p=0·0065; and 0·33, 0·14–0·51, p=0·00059, respectively). Interpretation: In patients with atrial fibrillation anticoagulated after recent ischaemic stroke or transient ischaemic attack, cerebral microbleed presence is independently associated with symptomatic intracranial haemorrhage risk and could be used to inform anticoagulation decisions. Large-scale collaborative observational cohort analyses are needed to refine and validate intracranial haemorrhage risk scores incorporating cerebral microbleeds to identify patients at risk of net harm from oral anticoagulation. Funding: The Stroke Association and the British Heart Foundation

    Discrimination of exfoliative cytology samples employing ATR-FTIR microspectroscopy.

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    The aetiology of cervical cancer is strongly associated with viral infection (i.e. human papillomavirus (HPV)); other risk factors include low socio-economic class, multiple sexual partners, smoking and poor diet. Cervical cancer screening employing smears of exfoliative cytology for the visual identification of atypical cells has successfully led to a fall in mortality from this disease. However, false negatives occur when a smear is determined normal although atypical cells (be they pre-malignant or malignant) are present. The use of attenuated total reflection (ATR)-FTIR microspectroscopy to interrogate samples of exfoliative cytology is a novel approach to screening that may allow the rapid profiling of a pathological status. Changes in derived vibrational spectra may be associated with a biochemical biomarker of dyskaryosis. To investigate this possibility, we interrogated eight cervical samples of exfoliative cytology using ATR-FTIR microspectroscopy. Two were normal, two were low-grade cervical intraepithelial neoplasia (CIN)1, two were high-grade (CIN2/3) and two were invasive carcinoma samples. Cellular material was applied to an ATR crystal and vibrational spectra were obtained using a Bruker Vector 22 FTIR spectrometer with Helios ATR attachment. At least 10 spectra per sample of exfoliative cytology were acquired in the ATR mode using Bruker OPUS software; these spectra were then individually baseline corrected. These derived spectra were subsequently analysed using principal component analysis (PCA). Cluster plots allowed the identification of any spatial separation (pointing to increasing dissimilarity) as a function of spectral differences between different samples in a 3-D ‘‘hyperspace’’. Apparently independent of oncogenic HPV genotype, successful discrimination between normal, CIN1, CIN2/3 and invasive carcinoma samples was obtained. Normal and invasive carcinoma samples exhibited 100% segregation in ‘‘hyperspace’’ and the samples classified as low- or high-grade clustered variously between, pointing towards a model of progression. Retrospective histological analysis of smears confirmed the diagnostic potential of this approach. ATR-FTIR microspectroscopy potentially could be used in routine cervical cancer screening in an objective approach less prone to the current limitation of false-negative occurrence. The combined application of ATR-FTIR microspectroscopy and PCA may also allow for the tracking of biochemical markers of progression from normal to invasive carcinoma. We are currently interrogating larger cohorts to determine the applicability of IR microspectroscopy for routine screening
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