Magnetization distribution surfaces

Let us assume that we have observed some magnetic potential Ur C) on the surface of the Earth. The problem is to determine the function /( ) of complex magnetization distribution. We introduce a complex Hilbert space D of data (magnetic potential) with the metric given by formula (7.2), and a complex Hilbert space M of models (functions /(C)) with the metric... 

Magnetization Distribution, Magnetic Domains, and Domain Walls at Surfaces... 

It is suggested though that even more precise sizing of cracks with complex cross-sections and unknown shapes could be achieved using the distribution of the leakage magnetic field along two lines positioned above the surface of the sample and parallel to the direction of the applied field at the same distance from the centre of the crack and from its closer end. 

The magnetic field distribution near the surface of z = 0 separation is considered. The pattern has Ll = 0 magnetic permeability, over the pattern medium is 4 = 1. The equations for (p... 

The distribution of the vectors normal to the surface is particularly interesting since it can be obtained experimentally. The nuclear magnetic resonance (NMR) bandshape problem, for polymerized surfaces, can be transformed into the mathematical problem of finding the distribution function f x) of... 

The distribution function of the vectors normal to the surfaces,/(x), for the direction of the magnetic field B, in accord with the directions of the crystallographic axis (100) for the P, D, G surfaces, is presented in Fig. 6. The histograms for the P, D, G are practically the same, as they should be the differences between the histograms are of the order of a line width. The accuracy of the numerical results can be judged by comparing the histograms obtained in our calculation with the analytically calculated distribution function for the P, D, G surfaces [29]. The sohd line in Fig. 6(a) represents the result of analytical calculations [35]. 

W. Gozdz, R. Holyst. Distribution functions for H nuclear magnetic resonance band shapes for polymerized surfactant molecules forming triply periodic surfaces. J Chem Phys 706 9305-9312, 1997. 

Figure 1. Schematic illustration of the laser-vaporization supersonic cluster source. Just before the peak of an intense He pulse from the nozzle (at left), a weakly focused laser pulse strikes from the rotating metal rod. The hot metal vapor sputtered from the surface is swept down the condensation channel in dense He, where cluster formation occurs through nucleation. The gas pulse expands into vacuum, with a skinned portion to serve as a collimated cluster bean. The deflection magnet is used to measure magnetic properties, while the final chaiber at right is for measurement of the cluster distribution by laser photoionization time-of-flight mass spectroscopy.

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