Cross section (physics) | EPFL Graph Search

In physics, the cross section is a measure of the probability that a specific process will take place when some kind of radiant excitation (e.g. a particle beam, sound wave, light, or an X-ray) intersects a localized phenomenon (e.g. a particle or density fluctuation). For example, the Rutherford cross-section is a measure of probability that an alpha particle will be deflected by a given angle during an interaction with an atomic nucleus. Cross section is typically denoted σ (sigma) and is expressed in units of area, more specifically in barns. In a way, it can be thought of as the size of the object that the excitation must hit in order for the process to occur, but more exactly, it is a parameter of a stochastic process. In classical physics, this probability often converges to a deterministic proportion of excitation energy involved in the process, so that, for example, with light scattering off of a particle, the cross section specifies the amount of optical power scattered from

Diffusion de neutrons de 14 MeV par le carbone 12

Claude Joseph

The angular distributions of the differential cross-sections for scattering of 14,1 MeV neutrons from 12C, Q = 0(0+); – 4,43(2+); – 7,65(0+) and – 9,63(8–) MeV, have been measured using a time-of-flight spectrometer. An indication can be found of the excitation of a wide level at about 10 MeV. A Monte-Carlo programme has been worked up and used to correct the results for multiple scattering; it calculates time-of-flight spectra which can be compared with the measured ones in order to deduce the best values of the cross-sections. The results are finally confronted with other experimental determinations and existing theoretical predictions.

s.n.1967

Towards implementing new isotopes for environmental research:Redetermination of the 32Si half-life

Mario Aaron Veicht

The predicted climate changes on Earth will significantly impact the environment and human society. The climate patterns observed during the past centuries led to a better understanding of the driving forces for such changes. However, more studies using new, innovative techniques are necessary to broaden the knowledge on the involved processes and accomplish a reliable scientific basis for decision-makers.On this subject, radiometric dating is a well-established contemporary technique whereby various time periods (from a few years to millions of years) can be covered with this method. Notably, a dating gap exists so that the period from 100 to 1000 years (before today) is currently not covered. However, this period is of great interest, as it allows for studying and understanding environmental processes such as glacier dynamics, ocean, and atmospheric circulation. Interestingly, a potential nuclide that could fill this dating gap is available: Silicon-32 (Si-32). The problem, however, is the currently very inaccurately determined T1/2 of around 150 years so that a use for radiometric dating is hindered.Hence, the aim of the SNSF-funded SINCHRON (Si-32: a new chronometer) project, and therefore the primary goal of this thesis, concerns the re-determination of the Si-32 half-life. Previous half-life determinations were limited to using samples with low activities. To overcome the issue with the small amounts, Si-32 was artificially produced at the Paul Scherrer Institut (PSI). Subsequently, an innovative wet chemical separation system was developed to allow for the selective removal of Si-32 from an irradiated vanadium matrix. As a result, 20 mL of an ultra-pure Si-32 solution could be produced, fulfilling the desired parameters related to the half-life re-determination.Within the framework of this work, the determination of the half-life via the direct method was applied; i.e., both the determination of the number of atoms (N), in combination with the activity (A), are required. Within the SINCHRON-collaboration, several independent measurements were performed between various multinational metrological institutes. Based on the different requirements, the Si-32 solution was manufactured accordingly: (I) the solution's activity concentration was confirmed to be greater than 100 kBq/g, (II) a chemically very stable Si species was chosen, and (III) ultra-traces of S-32 were removed. Besides, (IV) solid samples for accelerator mass spectrometry (AMS) could be prepared from the stock solution, too. As a result, we are getting close to providing a new, recommended value with low uncertainty (less than 5%). Within the scope of this work, a preliminary T1/2 for Si-32 of 125 +/- 5 years has been determined. Additionally, we studied vanadium as a target material and determined the production cross-sections of Ti-44, Ca-41, and Al-26. These radionuclides are produced as by-products during the irradiation process. For the latter two nuclides, the presented data describe the very first experimental determination of the cross-section for vanadium as a target. In this context, two independent gamma spectrometric measurement systems were used for the activity determination of Ti-44, and no prior chemical separation of Ti-44 from the matrix was required. Contrarily, Ca-41 and Al-26 were successfully separated using a selective and robust chromatographic wet chemical separation scheme. The activity of these nuclides could then be determined using AMS.

EPFL2022

A finite element model of the LHC dipole cold mass with hysteretic, non-linear behavior and single turn description

Mirko Pojer

In one of its acceptation, the word quench is synonym of destruction. And this is even more consistent with reality in the case of the Large Hadron Collider dipole magnets, whose magnetic field and stored energy are unprecedented: the uncontrolled transition from the superconducting to the resistive state can be the origin of dramatic events. This is why the protection of magnets is so important, and why so many studies and investigations have been carried out on quench origin. The production, cold testing and installation of the 1232 arc dipole magnets is completed. They have fulfilled all the requirements and the operation reliability of these magnets has already been partially confirmed. From an academic standpoint, nevertheless, the anomalous mechanical behaviour, which was sometimes observed during power tests, has not yet been given a clear explanation. The work presented in this thesis aims at providing an instrument to better understand the reasons for such anomalies, by means of finite element modelling of the cross-section of the dipole cold mass. During the investigation on quench phenomenology and its characterization, a distinction can be done between the two main quench origins during cold test without beam: the local degradation of the conductor and the frictional heating resulting from mechanical disturbances (such as conductor motion under the effects of the Lorentz forces). Concerning the second type, it is illustrated how important a good positioning of the cables is in a magnet cross-section and which is the fundamental role of azimuthal pre-stress. There are numerous studies of the consequences of conductor motion under the effect of electro-magnetic forces and of the loss of pre-stress during energization. However, no model has ever been able to reproduce in detail and predict such phenomena. The present model, developed in ANSYS® environment, was initiated with the idea of representing the real behaviour of an LHC-type dipole coil, by taking into account each turn individually, reproducing the non-linear and hysteretic mechanical behaviour observed on a stack of insulated cables and inserting friction between mating surfaces. The representation of the mechanical complexity of the composite material is certainly one of the originalities of this study. To validate the model, a comparison with elastic modulus measurements, systematically performed in industry, was carried out, both for single layers and for assembled poles. The agreement is certainly worth the effort lavished and justifies the following steps in simulation, which are the modelling of the collaring mechanism and the cool-down process. These are other important and original elements. The last one, in particular, requires progressively changing the mechanical properties of the superconductor, following the temperature profile. This implied some simplifications to comply with the enhanced convergence difficulties, but does not invalidate the goodness of the description and the results obtained. This is a faithful reproduction of a magnet life-cycle, uncommon in this kind of studies.