06.01.2015 Views

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

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.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!