David Jonsson wrote:
On Jan 14, 12:35 pm, don findlay <d...@tower.net.au> wrote:
David Jonsson wrote:
Please Google "lattice vibrations phonons" etc. The random vibrations
or motions of the atomic
constituents of an object are not altered by a mere translational
velocity of the object.
The crust is not in translational motion and I haven't said so either.
The lattice vibrations will increase on the down stroke and slow down
going upwards just like a bouncing ball.
The picture on the top right of this page shows it well.
http://en.wikipedia.org/wiki/Phonon
Imagine gravity to act sideways in that picture. Vibration would be
affected.
Do you see that interesting behaviour as in any way having anything to
do with crystal *growth*?
Since that is another topic I suggest you raise the issue in another
group. I have ideas regarding this as well. If you want the
traditional answer I think you should turn elsewhere. I for example
don't know why they want to study crystal growth in free fall on space
stations. What limit crystal growth is the curvature of space time in
the crystal. I think this idea was first raised by some Russian. You
cannot simply pack atoms in a regular manner if spacetime is curved.
The two dimensional example is like putting squares together in a
slightly curved plane like a parabolic dish. It can be done in a large
dish with small squares but after a while a square cannot simply be
fit and the regular structure is broken. So instead of trying to grow
crystals on space stations orbiting Earth, where the curvature of
space is approximately as high as here., crystals should be grown very
far from matter or between large bodies of matter where curvature is
almost flat. Or it should be done near black holes where curvature is
very high. The curvature is not totally dominant in a crystal lattice
for how atoms or molecules align. Specifically heat gradients change
the curvature in a lattice. Metal hardening and metal fatigue are two
processes where the crystal lattice arrangement is affected. The
hardening process is where there is less tension in a crystal and/or
between crystals. It simply has a size small enough where its space is
sufficiently flat. In metal fatigue the crystals are so big that the
atoms or molecuels don't fit with each other and thus strength of the
material is affected. I investigated some time ago and found that
there are not theories for metal hardening or metal fatigue. It is an
empirical subject only. Curvature in a crystal can be different from
that of empty space. Curvature in a material is affected by heat
gradients and if the gradient is only in one dimension, like it
commonly is since crystal size is so small compared to the
gravitational body, crystal growth shouldn't be affected and curvature
is basically flat.
Now I have just answered your question. The subject should be studied
further especially since it can offer theory to exclusively empirical
sciences of big importance in society. A suitable first start is to
see if crystal size created under small heat gradients can be
explained by the curvature here on Earth. I haven't studied general
relativity so I don't know how big it is. I think a good first start
is to assume that crystals can't be bigger than the distance where the
lattice constant, the distance between atoms, is curved away. If we
assume that the inter atomic distance of say aluminium is according to
http://elements.etacude.com/Si.php
284 pm and the crystals grow to 0.1 mm, based on my experience. Then
we can deduce the curvature of space to be 284 pm / 0.1 mm ~= 3*10^-6
or a curvature radius of (0.1 mm)^2 / 300 pm = 33 m. Is this
reasonable? It seems like curvature in the metal is very much higher
than in air.
More easy is to understand the situation in negative curvature. How
big can the crystal be before the spacing between the lattices become
so big that another lattice fits between? I assume that is the crystal
size.
The more elastic the crystal is the easier it will be coerced to fit
in a crystal even if curvature acts against it.
David
Well, ..in view of the implications of an expanding/ growing/ getting
bigger Earth it certainly does seem a relevant line of thought .
Thanks for your reply. The questions of crystal nucleation, growth,
and paragenesis are paramount.