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order-disorder phase transition

created by wangmu

(idea) by wangmu (17 hr) (print)   ?   (I like it!) Sun Apr 30 2000 at 10:29:56

A type of phase transition which occurs in some alloys and minerals. The simplest example is an alloy of equal quantities of two metals, called A and B, for which A-B bonds are more stable than A-A and B-B bonds. At low temperatures, the atoms form into a regular alternating pattern of A and B atoms, to minimise the energy of the alloy.

A B A B
B A B A
A B A B
B A B A

At higher temperatures, the effect of entropy becomes more important, and the atoms are mixed randomly.

Real alloys and minerals are more complicated than this simple model:

  • Not all mineral lattices will allow for an alternating pattern of As and Bs - for example, there may be triangular loops of linked atoms.
  • There may not be equal quantities of A and B atoms. In my PhD research, I found that if the proportion of A atoms is smaller than about 1/3 (the exact number depends on the structure of the mineral), then the ordered state will never form.
  • Atoms which aren't adjacent to each other still interact, although less strongly than those which are.
  • There may be more than one ordered pattern, and which one forms is dependent on the proportion of A atoms.

printable version
chaos

phase transition Landau Theory The Computational Beauty of Nature Christian view of the Big Bang
entropy Proportion Two-word poem Rutile
separation distress Alloy mineral pattern
lattice structure Random
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