Dear Rietveld friends,

I'm having some problems with calculating Uiso from the anisotropic
parameters. Here is an example - I copy first two sites of aluminite
(monoclinic):

_atom_site_aniso_label
_atom_site_aniso_U_11
_atom_site_aniso_U_22
_atom_site_aniso_U_33
_atom_site_aniso_U_12
_atom_site_aniso_U_13
_atom_site_aniso_U_23
S 0.01937 0.01562 0.01277 -0.00248 -0.00027 0.00954
Al1 0.01117 0.01169 0.01295 0.00006 -0.00012 0.00789

Using the formula for Uiso for the monoclinic system, which is:


1/3 * [U22 + 1/sin^2(beta)*(U11 + U33 + 2U13cos(beta)]

for the "S" site we obtain the value of 0,0054

for "Al": 0.01225

Meanwhile, the listed Uiso are:

_atom_site_label
_atom_site_fract_x
_atom_site_fract_y
_atom_site_fract_z
_atom_site_U_iso_or_equiv
S   0.70076   0.37376   0.93018   0.01621
Al1   0.65581   0.45332   0.47633   0.01229

While the author-given value for Al is close to the one calculated myself,
the one for S is much different. By the way, 0.01621 * 1/3 = 0.0054.

I could find it a simple mistake, I've found such a problem in case of
many other structures. And here's my kind question: am I missing
something?

Best regards!

-- 
Łukasz Kruszewski, Ph.D., adjunct
Polish Academy of Sciences
Institute of Geological Sciences
X-Ray Diffraction Laboratory (coordinator)
Twarda 51/55 str.
00-818 Warsaw
Poland
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