A crystal “grows” by deposition of new molecules, one by one and
layer by layer, superimposed or aggregated upon the solid substratum
already formed. Each particle would seem to be influenced, practically
speaking, only by the particles in its immediate neighbourhood, and
to be in a state of freedom and independence from the influence,
either direct or indirect, of its remoter neighbours. As Lord Kelvin
and others have explained the formation and the resulting forms of
crystals, so we believe that each added particle takes up its position
in relation to its immediate neighbours already arranged, generally in
the holes and corners that their arrangement leaves, and in closest
contact with the greatest number[265]. And hence we may repeat or
imitate this process of arrangement, with great or apparently even with
precise accuracy (in the case of the simpler crystalline systems), by
piling up spherical pills or grains of shot. In so doing, we must have
regard to the fact that each particle must drop into the place where it
can go most easily, or where no easier place offers. In more technical
language, each particle is free to take up, and does take up, its
position of least potential energy relative to those already deposited;
in other words, for each particle motion is induced until the energy
of the system is so distributed that no tendency or resultant force
remains to move it more. The application of this principle has been
shewn to lead to the production of _planes_[266] (in all cases where
by the limitation of material, surfaces _must_ occur); and where we
have planes, straight edges and solid angles must obviously also occur;
and, if equilibrium is {203} to follow, must occur symmetrically. Our
piling up of shot, or manufacture of mimic crystals, gives us visible
demonstration that the result is actually to obtain, as in the natural
crystal, plane surfaces and sharp angles, symmetrically disposed.
Public-domain text, read in full here on John Shaqi.
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