generation of macroscopic few-group cross sections for use in whole-core calculations of the MYRRHA dependent multi-group neutron diffusion equation in.
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The microscopic cross-section is used to characterize the probability of reaction between a neutron and an individual particle or nucleus. A neutron can have
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The following formula is used to correct microscopic cross sections for temperature. Although the example illustrates absorption cross section, the same formula may be used to correct capture and fission cross sections. where: NOTE: When using this formula, all temperatures must be converted to R or K. Example:
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NOTE: The above are only thermal neutron cross sections. I do not have any energy dependent cross sections. For energy dependent cross
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The cross seetions associated with the various interactions described above can be designated by the following notation cft = total cross section (OS+ Oa) OS= total scattering cross section (Oel+ Oi) Celor On,n = elastic scattering cross section
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Formal name: Cross-section Microscopy (CSM) Summary description of this technique: Cross-section Microscopy (CSM) is a technique which allows for the examination of a sample from a layered structure, such as a painted surface, at the microscopic level. The sample is typically mounted in a clear resin, which can be cut, ground, and polished to
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2), (3), (4) the homogenized microscopic cross section can be calculated as(5) σ x , g i = 1 N ‾ i ϕ ‾ g 1 V ∫ E g E g - 1 ∫ w σ x i ( r → ,
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microscopic cross section for reaction , units: [area] (usually barns or cm 2). ρ A {\displaystyle \rho _{A}} : density of atoms in the target in units of [1/volume] Σ x ≡ σ x ρ A {\displaystyle
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We define the proportionality factor as the microscopic cross-section σ: σt = C/Na.I0 To be able to determine the microscopic cross-section, transmission measurements are performed on plates of materials.
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A measure of the relative probability that a neutron will react with a particular nucleus is defined as the neutron cross sectionof the nucleus for that specified reaction. Thi i f d t thThis measure is referred to as the microscopic cross section (σ). σT= σa+ σs σa= σc+ σf Fission Neutron Energies Fig 2.1-1 Neutrons are born here Figure 2.1-3
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In this section, we briefly introduce the scattering theory. The assumptions made in the process of formula development for cross section calculation are
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The Hauser-Feshbach cross section § The full formula (Hauser-Feshbach with width fluctuation): § For simplicity, we will assume W *(= 1 • Then we can sum over entrance (*) and
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In order to calculate microscopic cross sections for a given reaction over spatial regions with material heterogeneity, a stochastic volume calculation
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We define the proportionality factor as the microscopic cross-section σ: σt = C/Na.I0 To be able to determine the microscopic cross-section, transmission measurements are performed on plates of materials. See more
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We define the proportionality factor as the microscopic cross-section σ: σt= C/Na.I0 In order to be able to determine the microscopic cross section, transmission measurementsare performed on plates of materials.
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Nov 26, · The Macroscopic Cross-Section. So far we have examined the microscopic cross-section. When talking about actual materials, the macroscopic cross-section is more
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The quantitative measure of this prediction is the cross section of the process. That is, nuclear theory is used to predict the specific cross section of a process. – This cross section may be measured in the laboratory – Comparison between theoretical prediction and measurement is used to evaluate the significance of the underlying theory.
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The single level Breit-Wigner (SLBW) formula The microscopic cross section σx is defined as the proportionality factor: dRx = σx NIds .
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The formulas obtained for the effective microscopic cross sections, continuously dependent on energy, apply to both monodispersed and polydispersed media. (A
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Measuring the scattering rate thus provides an experimental way of determining the cross section σ: σ= dJ scat Jn tdx dJ scat jN t This formula permits us relate the experimentally measured cross section to theory. In the devel- opment of scattering theory in QM, N
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