scholarly journals Where can i do this? Geometric Affordances from a Single Example with the Interaction Tensor

Author(s):  
Eduardo Ruiz ◽  
Walterio Mayol-Cuevas
Keyword(s):  
1969 ◽  
Vol 24 (11) ◽  
pp. 1746-1751 ◽  
Author(s):  
D. van Ormondt ◽  
R. de Beer ◽  
M. Brouha ◽  
F. de Groot

Abstract The elements of the hyperfine interaction (h.f.i.) between the manganese ion and the protons in the complex [Mn(H2O)6]++ in one of the two possible sites in La2(Mg, Mn)3(NO3)12 · 24 H2O have been measured with ENDOR at 15 to 20 K. The six water molecules in the complex at the chosen site are equivalent for reasons of symmetry.One principal direction of the h.f.i. tensor of each proton is found to be perpendicular to the Mn, O line. With the assumption that each proton is located in the plane of the other two principal directions of its interaction tensor the positions of the protons are evaluated from the anisotropic parts of the h.f.i. tensors. In this calculation the effect of covalency on the anisotropic h.f.i. is ac-counted for with the aid of a simple model.The isotropic h.f.i.'s with the two protons of a water molecule appear to be very nearly equal (+ 0.890 MHz for both). This latter result is remarkable in view of the fact that one proton is distinctly nearer to the manganese ion than the other.


1987 ◽  
Vol 104 ◽  
Author(s):  
J. M. Trombetta ◽  
G. D. Watkins

ABSTRACTThe Si-G15 EPR spectrum and the 0.79eV “C-line” luminescence spectra in silicon are shown to arise from an interstitial carbon - interstitial oxygen complex. The g-tensor and 13C hyperfine interaction tensor indicate the structure in the vicinity of the carbon atom while stress alignment studies reveal the configuration near the oxygen atom. The pairing of the two impurities leads to a lattice relaxation which serves to stabilize the complex against dissociation.


In this paper a general method is developed to evaluate the nine hyperfine interaction tensor components, A αβ , arising from the electron orbital angular momentum and the electron spin dipolar-nuclear spin angular momentum interactions of an electron associated dominantly with one nucleus coupling with a nucleus with a non-zero magnetic moment, where the electronic wavefunction is described by a Slater-type orbital. The method handles long range and short range coupling including the free atom case. From the results the degree of non-coincidence of the principal axes of the g and A tensors and the n.m.r. shifts are evaluated. As an illustration the molecular system examined is a molecule containing a d 1 transition metal ion in a strong crystal field.


The study of solids by n.m.r. has been greatly facilitated with the development, over the last 10 years or so, of sophisticated r.f. multiple-pulse experiments designed to reduce the dipolar interaction. Often when the intrinsic dipolar line broadening is selectively reduced in many materials, smaller and usually more interesting chemical shift and exchange interactions are revealed that reflect the solid state electronic structure around the resonant nuclei. This situation obtains in liquids, of course; however, in solids the full interaction tensor components are measurable and yield valuable additional information on the chemical bonding. In this paper the development of the various multiple pulse techniques is reviewed and their detailed operation described in a consistent formalism.


Open Physics ◽  
2017 ◽  
Vol 15 (1) ◽  
pp. 877-890 ◽  
Author(s):  
Mayeul Arminjon

AbstractA modification of the Maxwell equations due to the presence of a gravitational field was formerly proposed for a scalar theory with a preferred reference frame. With this modification, the electric charge is not conserved. The aim of the present work was to numerically assess the amount of charge production or destruction. We propose an asymptotic scheme for the electromagnetic field in a weak and slowly varying gravitational field. This scheme is valid independently of the theory and the “gravitationally-modified” Maxwell equations. Then we apply this scheme to plane waves and to a group of Hertzian dipoles in the scalar ether theory. The predicted amounts of charge production/destruction discard the formerly proposed gravitationally-modified Maxwell equations. The theoretical reason for that is the assumption that the total energy tensor is the sum of the energy tensor of the medium producing the electromagnetic (e.m.) field and the e.m. energy tensor. This means that an additional, “interaction” tensor has to be present. With this assumption, the standard Maxwell equations in a curved spacetime, which predict charge conservation, are compatible with the investigated theory. We find that the interaction energy might contribute to the dark matter.


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