the new fuels with magnecular structure - Institute for Basic Research
the new fuels with magnecular structure - Institute for Basic Research
the new fuels with magnecular structure - Institute for Basic Research
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THE NEW FUELS WITH MAGNECULAR STRUCTURE 27<br />
mechanical law:<br />
M e-orb. =<br />
q Lµ, (2.6)<br />
2m<br />
where L is <strong>the</strong> angular momentum, µ is <strong>the</strong> rationalized unit of <strong>the</strong> magnetic<br />
moment of <strong>the</strong> electron, q = −e, and m = m e .<br />
It is easy to see that <strong>the</strong> magnetic moment of <strong>the</strong> polarized orbit of <strong>the</strong> isoelectronium<br />
coincides <strong>with</strong> that of one individual electron. This is due to <strong>the</strong><br />
fact that, in this case, in Eq. (2.6) <strong>the</strong> charge in <strong>the</strong> numerator assumes a double<br />
value q = −2e, while <strong>the</strong> mass in <strong>the</strong> denominator also assumes a double value,<br />
m = 2m e , thus leaving value (2.6) unchanged.<br />
By plotting <strong>the</strong> various numerical values <strong>for</strong> <strong>the</strong> ground state of <strong>the</strong> hydrogen<br />
atom, one obtains:<br />
M e-orb. = M isoe-orb. = 1, 859.59µ. (2.7)<br />
By recalling that in <strong>the</strong> assumed units <strong>the</strong> proton has <strong>the</strong> magnetic moment<br />
1.4107 µ, we have <strong>the</strong> value [1]:<br />
M e-orb. 1, 856.9590<br />
= = 1, 316.33, (2.8)<br />
M p-intr. 1.4107<br />
namely, <strong>the</strong> magnetic moment created by <strong>the</strong> orbiting in a plane of <strong>the</strong> electron<br />
in <strong>the</strong> hydrogen atom is 1,316 times bigger than <strong>the</strong> intrinsic magnetic moment<br />
of <strong>the</strong> nucleus, thus being sufficiently strong to create a bond.<br />
It is evident that <strong>the</strong> polarized magnetic moments at ordinary temperature are<br />
smaller than those at absolute zero degrees temperature. This is due to <strong>the</strong> fact<br />
that, at ordinary temperature, <strong>the</strong> perfect polarization of <strong>the</strong> orbit in a plane is<br />
no longer possible. In this case <strong>the</strong> polarization occurs in a toroid, as illustrated<br />
in Fig. 7, whose sectional area depends on <strong>the</strong> intensity of <strong>the</strong> external field.<br />
As an illustrative example, under an external magnetic field of 10 Tesla, an<br />
isolated hydrogen atom has a total magnetic field of <strong>the</strong> following order of magnitude:<br />
M H-tot. = M p-intr. + M e-intr. + M e-orb. ≈ 3, 000µ, (2.9)<br />
while <strong>the</strong> same hydrogen atom under <strong>the</strong> same conditions, when a component of<br />
a hydrogen molecule has <strong>the</strong> smaller value<br />
M H2 -tot. = M p-intr. + M isoe-orb. ≈ 1, 500µ, (2.10)<br />
again, because of <strong>the</strong> absence of <strong>the</strong> ra<strong>the</strong>r large contribution from <strong>the</strong> intrinsic<br />
magnetic moment of <strong>the</strong> electrons, while <strong>the</strong> orbital contribution remains<br />
unchanged.