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A SEMICLASSICAL MODEL FOR THE MAGNETIC MOMENT OF AN ELECTRON”

by David Fryberger , 1975
"... The magnetic moment of an electron is (semiclassically) modeled by a loop of current threaded by a flux quantum +o=?ry The integral of the charge density involved in the current is taken to equal the electronic charge. It is shown that the assumption that the moment’s flux is quantized to a value Go ..."
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The magnetic moment of an electron is (semiclassically) modeled by a loop of current threaded by a flux quantum +o=?ry The integral of the charge density involved in the current is taken to equal the electronic charge. It is shown that the assumption that the moment’s flux is quantized to a value Go implies that the size of the @are) electronic charge must be extremely small (< 10-57 cm) but the most appropriate loop radius is on the order of the electron Compton radius XeO Using these results, a classical calculation of the static electric and magnetic energies associated with the loop is shown to be in reasonable agreement with the physically observed electron mass o (Submitted to Am. J, Phys.) * Work supported by the U, S. Energy Research and Development Administration. (2)
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...; the 47r and factors of c are added to maintain appropriate Gaussian units. 14 Using the relationship # = LIC to eliminate the current in favor of its associated flux, one obtains (6) I-1 =- A+O Lc2 =-=(7)-=-Using A = 7rg2 and substituting Eq. (5) into (7) yields P = W. (8) where K= 1 4 In (I,4 6) a (9) One notes that the magnetic moment of the loop is proportional to its “size” (Le, , k) while its “shap...

3. G. Stegeman, P. Likamwa, Nonlinear Optical Materials

by unknown authors
"... plot of the one-electron oxidation potentials versus N21 exhibits good linearity. The inter-cept (20.38 V) of the plot may be assigned for the one-electron oxidation potential of the “infinite ” fused porphyrin polymer. In spite of their remarkable properties, in-cluding extremely low HOMO-LUMO (hig ..."
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plot of the one-electron oxidation potentials versus N21 exhibits good linearity. The inter-cept (20.38 V) of the plot may be assigned for the one-electron oxidation potential of the “infinite ” fused porphyrin polymer. In spite of their remarkable properties, in-cluding extremely low HOMO-LUMO (highest occupied/lowest unoccupied molecular orbital) gaps, low one-electron oxidation potentials, and rigid and giant molecular size, the triply linked arrays are stable in air and easily manipulated, and should prove useful for studies on the vi-bronic coupling of organic molecules. They may also find use as conducting molecular wires and in molecular-scale electronic devices. In addition, the unusual photophysical and elec-trochemical properties of these fused porphyrin arrays suggest potential avenues for further in-vestigation, including the development of near-IR and IR sensors and dyes, and materials for nonlinear optics and spin ordering.

Declaration

by Gao Song , 2005
"... I, the undersigned, hereby declare that the work contained in this thesis is my own original work,except where specifically acknowledged in the text, and that I have not previously in its entirety or in part submitted it at any university for a degree. ..."
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I, the undersigned, hereby declare that the work contained in this thesis is my own original work,except where specifically acknowledged in the text, and that I have not previously in its entirety or in part submitted it at any university for a degree.
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