Jon wrote,

>On a related question - is there a really good reason for putting 
>quadratic products into the least squares matrix rather than the real
>space unit cell parameters? I haven't picked up yet on why the >derivatives
>cannot be converted from w.r.t A* etc to w.r.t a etc. Is it just a time
>saving?


With regards to magnetic structures there is another 'piece of time saving',
or rather an unnecessary complication, to clear up, and that is the
requirement in most refinement packages to enter the entire magnetic unit
cell. The natural language of magnetic structures is written in terms of the
magnetic propogation vector, k. This simple concept expresses all the
translation symmetry of a magnetic structure. If a magnetic cell is described
as having a propagation vector k = (0 1/2 1/2) rather than cell parameters a,
2*b, 2*c the intensity of the magnetic reflection can be calculated only using
the atoms in the crystallographic (zeroth) cell. This rather painless change
would mean that programs such as GSAS could refine commensurate and
incommensurate structures alike (***finally***).

Description in terms of cell parameter can also lead to confusion because
occasionally people try to use 'cell transformation' relations, I recently saw
a magnetic structure that was 'described' using the lattice vectors:

a_mag=1/2(a-c)
b_mag=b
c_mag=a+c

Which, quite frankly, is a bit of a mess...

Also, as the zeroth magnetic cell is then the same as the crystallographic,
the lattice parameters are identical and there is no need for the problem of
quadratic constraints. :-)


-Andrew

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