Pinwheel patterns and powder diffraction

Details Pinwheel patterns and powder diffraction Pinwheel patterns and powder diffraction

2006-10-06

arxiv.org/abs/math-ph/0610012v1

Philos. Mag. 87 (2007) 2831 - 2838

Physics

Mathematical Physics

7 pages, 4 figures

Scientific paper

10.1080/14786430601057953

Pinwheel patterns and their higher dimensional generalisations display continuous circular or spherical symmetries in spite of being perfectly ordered. The same symmetries show up in the corresponding diffraction images. Interestingly, they also arise from amorphous systems, and also from regular crystals when investigated by powder diffraction. We present first steps and results towards a general frame to investigate such systems, with emphasis on statistical properties that are helpful to understand and compare the diffraction images. We concentrate on properties that are accessible via an alternative substitution rule for the pinwheel tiling, based on two different prototiles. Due to striking similarities, we compare our results with the toy model for the powder diffraction of the square lattice.

Affiliated with

Also associated with

No associations

Rating

Pinwheel patterns and powder diffraction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pinwheel patterns and powder diffraction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pinwheel patterns and powder diffraction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634491