Distinguishing 1st/2nd Order Phase Transformations in Crystals

In summary: Yes, only the 2nd order transitions are reversible. 1st order transitions are not reversible. First order transitions are important because they are the simplest and most common type of phase transition. They happen when the order parameter changes from zero to nonzero discontinuously.
  • #1
marie2010
36
0
hi,
can someone explain to me how to distinguish (experimentally or theoretically) between 1st or 2nd (3rd?) order phase transformation in crystal structures.
Thank you in advance.
 
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  • #2
A first order phase transition involves a release (or intake) of latent heat. A second order transition does not.

There are no third or high order transitions. The name comes from a classification scheme by Ehrenfest that was in error. Though the terminology has stuck around, better names would be discontinuous transitions (which are "first order") and continuous transitions (which are "second order").

In a discontinuous transition the order parameter becomes zero discontinuously at the critical point, whereas in a continuous transition the order parameter changes to zero continuously up to the critical point, and then remains zero afterwards. An order parameter, in case you are unaware of the terminology, is a measurable quantity which is zero in one phase of the material (the 'disordered' phase) and is non-zero in the other phase (the 'ordered' phase).

An example of an order parameter is magnetization in a magnet. At H = 0, there is a continuous transition from a ferromagnetic state (a net fraction of spins are aligned) to a paramagnetic state (M = 0) at a transition temperature Tc as T is increased. At H nonzero, but T less than Tc, the sign of M is equal to the sign of H (but the magnitudes are unrelated). If you flip the sign of H, M will change discontinuously.

Similar considerations will apply to crystal phase transitions.
 
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  • #3
Thank you for your great explanation. It really helps.
 
  • #4
hi,
I still want to ask you the following: are only the 2nd order transitions reversible? What about the 1st order? I am trying to get some physical feel for how to distinguish between the transition orders and their significance, i.e. why is it important to know whether the transition was 1st or 2nd order?
Thanks in advance.
 

1. What is the difference between 1st and 2nd order phase transformations in crystals?

First order phase transformations involve a sudden change in the crystal structure, resulting in a discontinuity in properties such as density and thermal expansion. Second order phase transformations involve a gradual change in the crystal structure, resulting in a continuous change in properties.

2. How can you determine whether a phase transformation is 1st or 2nd order in a crystal?

One method is to measure the change in properties, such as density or thermal expansion, during the transformation. A sudden, discontinuous change would indicate a first order transformation, while a gradual, continuous change would indicate a second order transformation.

3. What factors can influence the type of phase transformation that occurs in a crystal?

The type of phase transformation is influenced by factors such as temperature, pressure, and the structure of the crystal lattice. These factors can affect the energy barriers that must be overcome for a transformation to occur.

4. Can a crystal undergo both 1st and 2nd order phase transformations?

Yes, a crystal can undergo multiple phase transformations, including both first and second order. The type of transformation that occurs depends on the specific conditions and properties of the crystal.

5. Why is it important to distinguish between 1st and 2nd order phase transformations in crystals?

Distinguishing between first and second order phase transformations can provide valuable information about the underlying mechanisms and properties of the crystal. This knowledge can be useful in fields such as materials science, mineralogy, and geology.

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