While calculating the induced fields in the various contexts for a potential application and hence at present still only striving to make sure whether all these efforts do have much more than the simple academic pursuit of simplifying for better grasping by students (of the point dipole approximations as tools for explaining quantitaively the chemical shift trends in Chemical Contexts) there seemed an extraneous consideration of some possibilities that the semimicro volume elements which are being hypotheticaly mooted are really forming themselves during the handling (preparation or processing the materials)of materials? With this in view some of the features, of the dimensions and proportions of the mathematically required hypothetical volume elements, have been brought to the notice of the materials scientists and their opinions are still awaited. A write-up in this context appears on this page.

The illustration below depicts the construction which is according to the requirements of (small circles with increasing radii along a vector length) semimicro volume elements to distribute the total susceptibility of the macroscopic specimen among the smaller elements without any loss of the totality of the magnetized material to ensure the summation resuls the experimentally measured value for the specimen.Since either by addition or taking only the wholesum material the Susceptibility is the same, when distribution is made to small elements and for each small element the dipole origin is at the small elemnts' centre. This implies that the entire susceptibility value does not contribute from the same origin for the dipole magnetic moment. If this distribution into small elements is not made then for the entire magnitude of Susceptibility only one dipole would be placed at the centre of the macroscopic sphere (for a spherical sample) where as in the present calculation there are several diplole centres at the centre of each of thesemmicro (hypothetical) spheres and this difference in one way brings the situation to more close to reality than placing a single dipole at on Centre. it is this distribution of dipole centres which is also achieved in a continous sense in working out the integrals.But the integrations restricts the possibke shapes to which these calculations can be extended. In this present method there is this continuous displacement of the dipole origin is built in,this is achieved by considering that the numerical criteria require the dipole approximation to be valid.and under this premise the summation procedure can result.

The requirement of a inner cavity in the sample for such considerations and calculations is all at great length the same as the consideration given for the Lorentz' Cavity Field.

CAN THERE BE NANOSTRUCTURES /PARTICLES CLOSELY PACKED TO REALIZE THE MATHEMATICAL MODEL OF HYPOTHETICAL VOLUME ELEMENTS IN MAGNETIZED MATERIALS
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A look-out for structures / particles of magnetized material as above is a driving force to be seeking to attend WAM-II.
Recently, as can be known from the presentations of Dr.S.Aravamudhan [contributed to the Annual National Symposia of the Magnetic Resonance Society (NMRS) particularly the 5th at Dehradun in 1999, the 6th at TIFR in 2000 and the 7th at CLRI/IIT Madaras in 2001 with the poster materials contributed at the XIII International Biophysics Congress,New Delhi (Sept.1999) ] there had been mathematical requirements for considering a magnetized specimen / materials hypothetically as a closely packed spheres with every (adjascent) sphere bearing a well defined radius ratio to the preceding & succeeding spheres. This constant radius ratio is applied successively to each volume element ( spherical) in a definite & systematic arrangement over the entire extent of the material to calculate the induced fields due to the magnetized specimen.
Do such closely packed nanostructures occur with uniform radii or with well defined radius ratios (due to the method of preparation for the example) in such away as what has been described as hypothetical volume wlements in the mathematical modeling. Can such closely packed nanostructures / particles be realized as tangible materials for the experimental verification of the validity of the equations used by considering actual measurements on these nanostructures / particles ?
The context of the spin-echo NMR measurements of field-patterns around spherical glass beads for the understanding of the effects of susceptibility reagents in membrane- transport studies is a typical example where small spherical specimens are closely-packed and mesasurements made. Instead of glass beads can a nanostructure material be realized for such considerations ?

Further informations on this context can be obtained from :

1. Prof.S.V.Bhat, Department of Physics, Indian Institute of Science, Bangalore.
2. Prof. Anil Kumar, Department of Physics, Indian Institute of Science,Bangalore. 3. Prof. K.V. Ramanathan, Sophisticated Instruments Facility, Indian Institute of Science, Bangalore.