The Mathematical Foundations of Neutron Scattering
ثبت نشده
چکیده
I trons scattered by any assembly of nuclei. His result makes use of Fermi observation that the actual interaction between a neutron and a nucleus may be replaced by an effective potential that is much weaker than the actual interaction. This pseudo-potential causes the same scattering as the actual interaction but is weak enough to be used in the perturbation expansion derived by Max Born. The Born approximation says that the probability of an incident plane wave of wave vector k being scattered by a weak potential V (r) to become an outgoing plane wave with wave vector k’ is proportional to
منابع مشابه
ابررساناهای دمای بالا- با دید نوترونها
Neutron scattering is proved to be a vital probe in unveiling the magnetic properties of high temperature superconductors (HTSC). Detailed information about the energy and momentum dependence of the magnetic dynamics of HTSC have been obtained directly by this technique. Over the past decade by improving the crystal growth methods, large and high quality single crystals of HTSC, which are ess...
متن کاملSimultaneous fitting of X-ray and neutron diffuse scattering data.
Conventional crystallographic refinement uses the Bragg-peak intensities and gives the single-site average crystal structure. Information about short-range order and local order is contained in the diffuse scattering that is distributed throughout reciprocal space. Models of the short-range order in materials can now be automatically refined. The complementarity of X-ray and neutron diffraction...
متن کاملSmall-angle scattering and its interplay with crystallography, contrast variation in SAXS and SANS.
Methods of contrast variation are tools that are essential in macromolecular structure research. Anomalous dispersion of X-ray diffraction is widely used in protein crystallography. Recent attempts to extend this method to native resonant labels like sulfur and phosphorus are promising. Substitution of hydrogen isotopes is central to biological applications of neutron scattering. Proton spin po...
متن کاملThe early development of neutron diffraction: science in the wings of the Manhattan Project
Although neutron diffraction was first observed using radioactive decay sources shortly after the discovery of the neutron, it was only with the availability of higher intensity neutron beams from the first nuclear reactors, constructed as part of the Manhattan Project, that systematic investigation of Bragg scattering became possible. Remarkably, at a time when the war effort was singularly fo...
متن کاملA Mathematical Realization of Entropy through Neutron Slowing Down
Abstract: The slowing down equation for elastic scattering of neutrons in an infinite homogeneous medium is solved analytically by decomposing the neutron energy spectrum into collision intervals. Since scattering physically smooths energy distributions by redistributing neutron energy uniformly, it is informative to observe how mathematics accommodates the scattering process, which increases e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999