PS I found a nice presentation from the NIST group explaining the theory
behind the cubic birefringence effect:
http://math.nist.gov/mcsd/Seminars/2004/2004-06-10-shirley-presentation.
pdf .  Slide 33 has some nice graphics summarising the birefringence
effect in all crystal systems.

-- Ian

> -----Original Message-----
> From: [EMAIL PROTECTED] 
> [mailto:[EMAIL PROTECTED] On Behalf Of Ian Tickle
> Sent: 13 June 2008 11:20
> To: Ethan Merritt
> Cc: [email protected]
> Subject: RE: [ccp4bb] birefringent spacegroups
> 
> 
>  > -----Original Message-----
> > From: [EMAIL PROTECTED] 
> > [mailto:[EMAIL PROTECTED] On Behalf Of Ethan Merritt
> > Sent: 12 June 2008 19:41
> > To: Multiple recipients
> > Cc: [email protected]
> > Subject: Re: [ccp4bb] birefringent spacegroups
> > 
> > But the ellipsoid is only a convenient approximation based on 
> > properties
> > evaluated at 3 orthogonal axes.  It is not a complete 
> > description, it is
> > simple model.  More complex models may describe more complex 
> > properties,
> > as is the case in the paper that Ian refers to.  
> > 
> > If "birefringence" is formally defined in terms of the 
> approximating 
> > ellipsoid, this is correct.  I do not know if this is the 
> case or not.
> > But if birefringence is generalized to mean "optical index 
> varies with
> > incident illumination vector" then I believe all protein crystals
> > are birefringent.
> > 
> > I may be talking nonsense here. If so, I welcome the opportunity to
> > learn better. 
> > 
> >     Ethan
> >
> 
> No I think you're quite right, birefringence clearly refers 
> to any case
> where the refractive index is anisotropic for any general pair of
> directions, not just in specific orthogonal directions.  In 
> any case the
> birefringent direction [110] in cubic is orthogonal to the
> non-birefringent direction [001] so the old definition is still
> applicable anyway.  BTW here's a patent issued for a method to get
> around the problems in lithographic fabrication of 
> semiconductors caused
> by optical elements made from birefringent cubic crystals, so it's a
> very real problem, not just one of theoretical interest!
> 
> http://www.patentstorm.us/patents/6844972/fulltext.html
> 
> Cheers
> 
> -- Ian
> 
> 
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