scattering length वाक्य
उदाहरण वाक्य
मोबाइल
- The scattering cross-section is equal to the square of the scattering length multiplied by 4 & pi;, i . e . the area of a circle with radius twice the scattering length.
- The scattering cross-section is equal to the square of the scattering length multiplied by 4 & pi;, i . e . the area of a circle with radius twice the scattering length.
- The p ( r ) function can be considered as a probability of the occurrence of specific distances in a sample weighted by the scattering length density \ rho ( \ mathbf { r } ).
- He has also worked on effective field theory for non-relativistic particles whose short range interactions are characterized by a large scattering length, as well as novel field theories which arise from unusual limits of string theory.
- This means that protium, the most common isotope of hydrogen, is poorly imaged due to its smaller absolute magnitude and because its scattering density tends to cancel that of adjacent carbon, nitrogen, or oxygen, which have positive scattering lengths.
- If the average spacing between the particles in a gas is greater than the scattering length ( that is, in the so-called dilute limit ), then one can approximate the true interaction potential that features in this equation by a pseudopotential.
- As an example on how to compute the s-wave ( i . e . angular momentum l = 0 ) scattering length for a given potential we look at the infinitely repulsive spherical potential well of radius r _ 0 in 3 dimensions.
- :From a quick glance at the neutron reflectometry article, I note that nitrogen has quite a high scattering length-so probably very foggy, since the air is no longer transparent . talk ) 09 : 58, 2 November 2015 ( UTC)
- Figure 1 shows the scattering length density for water and various biological macromolecules as a function of the deuterium concentration . ( Adapted from . ) Biological samples are usually dissolved in water, so their hydrogens are able to exchange with any deuteriums in the solvent.
- Where a is the scattering length, k is the wave number, and \ delta ( k ) is the s-wave phase shift . The elastic cross section, \ sigma _ e, at low energies is determined solely by the scattering length,
- Where a is the scattering length, k is the wave number, and \ delta ( k ) is the s-wave phase shift . The elastic cross section, \ sigma _ e, at low energies is determined solely by the scattering length,
- In some cases, as with titanium and niobium, it is possible to mix isotopes of an element whose lengths are of opposite signs to give a net scattering length of zero, in which case " coherent " scattering will not occur at all.
- Under this assumption, the ground state of the free electron gas can be adiabatically transformed into the ground state of the interacting system and this gives rise to an inelastic scattering length so that the canonical correlation length exponent can be compared to the measured critical exponent.
- Where \ hbar is the Planck constant divided by 2 \ pi, m is the mass, \ delta ( r ) is the Dirac delta function, b is the bound coherent neutron scattering length, and r = 0 the center of mass of the neutron form factor.
- A specific example of this is the fact that three identical particles with scattering lengths between the pairs that tend toward infinity, will support an indefinitely large number of three body bound states with their radii increasing as the square of that number, as was shown independently by Vitaly Efimov in a specific model.
- For diluted samples, the p ( r ) function is not weightened by the scattering length density, but by the " excess " scattering length density \ Delta \ rho ( \ mathbf { r } ), i . e . the difference between the scattering length density of position r in the sample and the scattering length density of the solvent.
- For diluted samples, the p ( r ) function is not weightened by the scattering length density, but by the " excess " scattering length density \ Delta \ rho ( \ mathbf { r } ), i . e . the difference between the scattering length density of position r in the sample and the scattering length density of the solvent.
- For diluted samples, the p ( r ) function is not weightened by the scattering length density, but by the " excess " scattering length density \ Delta \ rho ( \ mathbf { r } ), i . e . the difference between the scattering length density of position r in the sample and the scattering length density of the solvent.
- For diluted samples, the p ( r ) function is not weightened by the scattering length density, but by the " excess " scattering length density \ Delta \ rho ( \ mathbf { r } ), i . e . the difference between the scattering length density of position r in the sample and the scattering length density of the solvent.
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