Second order hyperfine splitting with Blinder type contact operator : Finite nucleus models

1979 ◽  
Vol 38 (5) ◽  
pp. 1603-1610 ◽  
Author(s):  
H.P. Trivedi
1998 ◽  
Vol 58 (1) ◽  
Author(s):  
Michael I. Eides ◽  
Howard Grotch ◽  
Valery A. Shelyuto

1993 ◽  
Vol 47 (6) ◽  
pp. 4725-4734 ◽  
Author(s):  
J. Güdde ◽  
A. Klinkmüller ◽  
P. J. West ◽  
E. Matthias

1976 ◽  
Vol 54 (22) ◽  
pp. 2240-2245 ◽  
Author(s):  
R. E. Moss ◽  
J. K. G. Watson

An inconsistency previously found between the relativistic and non-relativistic second-order hyperfine energies of the hydrogen atom with a point nucleus is ascribed to the neglect of delta function contributions in the non-relativistic calculation. Various relations involving point delta functions are developed. In particular, a novel representation of the commutator of partial differential operators acting on a homogeneous function of degree −n + 2 in n variables is given in terms of the point delta function. With the inclusion of the delta function terms, the non-relativistic point-nucleus result is shown to be consistent with the results of both relativistic point-nucleus and non-relativistic finite-nucleus calculations.


Author(s):  
W. L. Bell

Disappearance voltages for second order reflections can be determined experimentally in a variety of ways. The more subjective methods, such as Kikuchi line disappearance and bend contour imaging, involve comparing a series of diffraction patterns or micrographs taken at intervals throughout the disappearance range and selecting that voltage which gives the strongest disappearance effect. The estimated accuracies of these methods are both to within 10 kV, or about 2-4%, of the true disappearance voltage, which is quite sufficient for using these voltages in further calculations. However, it is the necessity of determining this information by comparisons of exposed plates rather than while operating the microscope that detracts from the immediate usefulness of these methods if there is reason to perform experiments at an unknown disappearance voltage.The convergent beam technique for determining the disappearance voltage has been found to be a highly objective method when it is applicable, i.e. when reasonable crystal perfection exists and an area of uniform thickness can be found. The criterion for determining this voltage is that the central maximum disappear from the rocking curve for the second order spot.


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