> Interesting that the IUCr committee report that Ian pointed 
> out stated 
> "we recommend that the use of B be discouraged".  Hmm... Good 
> luck with 
> that!

You seem to be implying, if I understand you correctly, that the IUCr
report recommends that the use of the equivalent isotropic B be
discouraged, but that's not what it says!  The recommendation concerning
B comes in section 2.1 "Anisotropic displacement parameters", just after
eqn. 2.1.27.  But in fact it's clear from that equation, where B is a
tensor, that it's talking about the *anisotropic* B tensor.  In the
following main section 2.2 "Equivalent isotropic displacement
parameters" no such recommendation appears.

Also in section 4 at the end where the recommendations are summarised it
explicitly says (point 7) "Avoid using the Gaussian anisotropic
parameters that are now usually symbolized as B^ij and are defined in
eq. (2.1.26).  These quantities are directly proportional to the
recommended U^ij , the ratio being 8pi^2".  Again, no mention of a
recommendation concerning the equivalent isotropic B.

Indeed of course, the PDB follows the IUCr recommendations (actually it
was more a case that the IUCr accepted the de facto existence of the
PDB!), i.e. equivalent isotropic B's and anisotropic U's.  B^ij's are
indeed used internally by some software for convenience in intermediate
calculations, but since the output values are U's there's no problem
with that.

This raises a point relevant to your original suggestion concerning a
new name for the unit of B: in a PDB file the U^ij values are actually
10000*U^ij, in order to save space by eliminating non-significant
digits, as I pointed out previously.  However, does this mean that one
should think of the values in the file as being in units of picometres^2
(it took me a few moments to work that out!), or does it mean that the
values are to be thought of as 10000*U^ij so that the units are still
the familiar A^2?  So by analogy values of B are to be thought of as
8pi^2*U (that's what the equation B = 8pi^2*U means after all!), but
still in units of A^2.  I suspect that most people, like me, would think
of it in those terms.

Cheers

-- Ian

> I agree that I should have used "U" instead of u^2 in my 
> original post.  
> Actually, the "u" should have a subscript "x" to denote that 
> it is along 
> the direction perpendicular to the Bragg plane.  Movement within the 
> plane does not change the spot intensity, and it also does 
> not matter if 
> the "x" displacements are "instantaneous", dynamic or static, 
> as there 
> is no way to tell the difference with x-ray diffraction.  It just 
> matters how far the atoms are from their ideal lattice points (James 
> 1962, Ch 1).  I am not sure how to do a symbol with both superscripts 
> and subscripts AND inside brackets <> that is legible in all email 
> clients.  Here is a try: B = 8*pi*<u<sub>x</sub>^2>.  Did that work?


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