Neutron diffraction determined from

Using unpolarized neutrons, q p averages to zero and the study of the elastic magnetic cross section p q allows, in principle, to determine the magnetic structure. However, this determination may not be complete (for example the phase between the different harmonics cannot be determined from neutron diffraction experiments). Different magnetic structures, with different domain population may also lead to the same... 

Table II. Mean Distances 1 (A) Involving the Interstitial Hydrogen Atoms Determined from Neutron Diffraction Studies of Compounds 3 and 4...

Lastly, it should be pointed out that there are often significant differences between H positions determined by X-ray analysis and those determined from neutron data. Neutron diffraction provides true nuclear positions, whereas X-ray diffraction measures the electron density distribution. Thus, X-ray Fourier maps often give H peaks that, because of the perturbing influence of the M-H bonding electrons, appear closer to the M atoms than they really are A thorough analysis of this effect has... 

Fig. 88. Proposed magnetic structures, is determined from neutron diffraction data, for (a) Fe4N (after Frazer (190)), (b) Mn4N (after Takei, Shirane and Frazer (610)), and (c) ZnCMiu (after Brockhouse and Myers (106)).

However, there is no doubt that from the 1980s on, a very hopeful type of development has been taking place in ionic solution theories. It is the correlation function approach, not a theory or a model, but an open-ended way to obtain a realistic idea of how an ionic solution works (Fig. 3.58). In this approach, pair correlation functions that are experimentally determined from neutron diffraction measurements represent the truth, without the obstructions sometimes introduced by a model. From a knowledge of the pair correlation function, it is possible to calculate properties (osmotic pressure, activities). The pair correlation function acts as an ever-ready test for new models, for the models no longer have to be asked to re-replicate specific properties of solutions, but can be asked to what degree they can replicate the known pair correlation functions. 

Coherent neutron seattering lengths (b) are 4.84, 5.88, and 8.185 fm for Ce, Rh and Ge, respectively. Since for these three elements the neutron scattering ability accidentally increases with the decreasing atomic number, Ge is determined from neutron data with better accuracy than Ce. On the contrary, the x-ray scattering factors are proportional to the atomic number, and therefore, Ce is determined from x-ray diffraction with a better precision than Ge. 

Figure 11. r dependence of Q for members of the ilmenite-hematite solid solution, determined from neutron powder diffraction (solid symbol Harrison et al. 2000a) and quench magnetization (open symbols Brown et al. 1993). Sohd hues are fits using a modified Bragg-Williams model. 

Figure 38. Variation with x in the da ratios of the two phases determined from neutron diffraction in Ndj. Ce CuO, (from [32] with permission).

Barrier heights for the Fe complexes were renormalized to the same value of rotational constant (49.5 cm-1) determined from neutron diffraction measurements. bSum is over all the coligands of H2. 

Figure 7.8 The minimum energy configuration of C5D5N pyridine coordinated to potassium cations in the channels of zeolite K-L, as determined from neutron powder diffraction data by Rietveld refinement.

Fig. 2. Three-dimensional view of the flux line lattice in niobium, as determined from neutron diffraction (Weber et al. 1973).

C. Landron, L. Hennet, T. E. Jenkins, G. N. Greaves, J. P. Coutures, and A. K. Soper, Liquid alumina detailed atomic coordination determined from neutron diffraction data using empirical potential structure refinement, Phys. Rev. Lett. 86, 4839-4842 (2001). 

Table 4.8 The Ti-0 coordination numbers for all samples determined from neutron diffraction...

Figure 4.1 Cation-anion Tsolid linel and cation-cation (dashed linel RDFs of molten NaCl determined from neutron diffraction data.

Figure 4.5 Cation-anion Tsolid line) and cation-cation Tdashed line RDFs and spatial probabilities for rc mimiro CCHol determined from neutron diffraction data F291.

Figure 4.7 Spatial probabilities for rc mimirPFgl benzene determined from neutron diffraction data F331.

Figure 4.10 Cation-anion fsolid line and cation-cation fdashed line) RDFs and spatial probabilities for 1 1 rfNC. CjyirNTfobmethylnaphthalene. determined from neutron diffraction data TBOI. The cation-aromatic RDF is shown as a dotted line.

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