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- From: hybl@umbc4.umbc.edu (Dr. Albert Hybl (UMAB-BIOPHYS))
- Newsgroups: bionet.info-theory
- Subject: Re: What is a "perfect" crystal?
- Summary: 0K folks - funny money -- MOLECULAR PENNIES!
- Keywords: X-ray_Diffraction Single_Crystals Disorder Twinning Entropy
- Message-ID: <1992Nov16.160912.14556@umbc3.umbc.edu>
- Date: 16 Nov 92 16:09:12 GMT
- Sender: newspost@umbc3.umbc.edu (News posting account)
- Organization: Univ. of MD, Baltimore County
- Lines: 48
-
- In message <BxsBHq.364@ncifcrf.gov> dated Mon, 16 Nov 1992 01:15:26 GMT
- from: toms@fcs260c2.ncifcrf.gov, Tom Schneider writes
- >In other words, it's a perfect example of molecular pennies!
- >
- >This example is also neat because it relates to the OK problem.
- >Could we cool this "twinned" crystal to 0K?
- Probably. While your near 0K, collect a set of X-ray data; I
- would like to see that changes to the translational and
- rotational vibration tensors. [For details, see section (v)
- in the original paper.]
-
- >Your results imply that the position of the oxygen has no energetic
- >implication. Yet one could store 1 bit of information in each of
- >the molecules!
- Long range order might show up as a super lattice; we saw none.
-
- >What is a "perfect" crystal?
-
- A crystallographer normally works with a mosaic crystal,
- many little "mosaic" blocks approximately aligned in an
- aggregate that looks like a crystal. The mosaic block are
- thankfully in sufficient disregistry to scatter independently.
- [See the discussion in section 5.4 of "Mosaic Theory" in Vol. III
- of the International Tables for X-ray Crystallography page 313.]
- I think that a perfectly entropy twinned crystal would not
- look "perfect" to an X-ray beam. X-rays know perfection when
- they see it :-)
-
- The discussion in section 2.6 of "Thermal Expansion in Relation
- to Structure" in Vol. II of the Internation Tables for X-ray
- Crystallography page 125 states: "A more fundamental quantity
- would be the unit-cell size either for an unperturbed state of
- absolute rest, or at 0K. Neither of these are, in fact
- attainable and therefore linear thermal-expansion coefficients
- (alpha) and their variation with temperature should be
- determined whenever possible.
- Thermal-expansion coefficients are also useful:
- (a) As an indication of interatomic and intermolecular forces
- and their variations with direction, temperature, impurity,
- vacant sites, spin orientations, electronic transitions, etc.
- (b) For the detection of second-order transformations and of
- the crystal directions principally concerned in such
- transformation."
-
- There is a caldron full of additional facts to spice up the
- chowder.
-
- Albert Hybl (hybl@umbc4.umbc.edu)
-