On the effect of lengthening circadian rhythm by heavy water.
Consideration of the mass difference permits qualitave explanation of the lengthening of CR in biological objects, where [H.sub.2]O is partially or completely replaced by [D.sub.2]O.
Let's consider spacial distribution of energy levels of the same principle quantum number in atoms of hydrogen and deuterium. Taking into account the masses of the nuclei energy levels are separated by the distance.
[r.sub.nH] = [alpha]/4[pi] x 1/[R.sub.H] X [n.sup.2] in a hydrogen atom, and
[r.sub.nH] = [alpha]/4[pi] x 1/[R.sub.D] X [n.sup.2] in a deuterium atom
where a is fine structure constant, [R.sub.H] and [R.sub.D] are Rydberg constants for hydrogen and deuterium, respectively, n - the main quantum number .
In comparison with the similar levels of hydrogen atom in an atom of deuterium energy levels of the same principle quantum number are spatially shifted towards the nucleus by the value of
[DELTA]r = [n.sup.2] x [alpha]/4[pi] x (1/[R.sub.H] - 1/[R.sub.D])
Accepting that [alpha] = 7.397535 x [10.sup.-3], [R.sub.H] = 109677.576 [cm.sup.-1] and [R.sub.D] = 109707.419 [cm.sup.-1], for n = 1, we have [r.sub.1] = 1.3937 x [10.sup.-12] cm. For example for n = 10, [r.sub.10] = 1.3937 x [10.sup.-10] cm.
It is natural to assume, that the lower the energy threshold through which biochemical processes run in bio-objects the higher the sensitivity of the objects to the spatial shift of energy levels caused by the replacement of [H.sub.2] by [D.sub.2].
Thus, from above mentioned it follows that lengthening of CR by adding [D.sub.2]O is caused by decreasing the possibility of biochemical processes running through the appropriate energy levels in deuterium atoms, which, being caused by mass difference, are spatially shifted towards the nucleus in comparison with analogous levels in hydrogen.
Submitted on December 6, 2013 / Accepted on December 9, 2013
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Takhir R. Akhmedov
333 S. Webster Ave, Suite 4, Norman, OK 73069. E-mail: TakhirAkhmedov@yandex.com
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|Author:||Akhmedov, Takhir R.|
|Publication:||Progress in Physics|
|Date:||Jan 1, 2014|
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