Vector scattering amplitude

Fig. 3 H + H2(v = 0,j = 0) —> H2(v, /) + H para-para state-to-state Pauli-antisymmetiized DCS for two different total energies computed by excluding (NGP) and including the geometric phase explicitly (GPl), by artificially changing the sign of the reactive scattering amplitude, and implicitly (GP2) with the vector potential approach...

When more than one point is affected by the same incident wave, the overall scattered amplitude will be a result of interference among multiple spherical waves. As established above Figure 2.21) the amplitude will vary depending on the difference in the phases of multiple waves with parallel propagation vectors but originating from different points. 

The magnetic scattering amplitude vector, for a single atom with atomic... 

The large number of electrons associated with the heavy atom will produce large scattering amplitudes from this atom and, as a result, many of the intensities will be dominated by scattering from this heavy atom. In order to locate the position of the heavy atom, a Patterson function (Patterson, 1935) is calculated which represents a three-dimensional vector space map, also known as an Fp map. The Patterson function is... 

In connection with the evaluation of the diffraction signal, we note that the scattering amplitude, (6), for a diatomic molecule with bond vector R = R — R2, takes the form... 

Figure 6.13 Reflections from a body-centred unit cell (a) a body-centred unit cell (b) vector addition of waves for reflections h + k + l even, gives rise to a scattered amplitude (c) vector addition of waves for reflections h + k + l odd, gives rise to zero amplitude...

Suppose that the polymer is modelled by a series of units at eadi R which have a scattering amplitude a . Then the scattering intensity at the scattering vector k kf- k/ ki and kf being the wave vectors of the incident and the scattered beam) is written as... 

In relativistic quantum theory, it is the second term in Eq. (51) that is entirely responsible for scattering as it is second order in the vector potential. It is convenient to divide this term into four components, and the X-ray scattering amplitude in the case of elastic scattering may be written as (Arola et al., 1997 Arola and Strange, 2001)... 

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