Heterogeneity, and the secret of the sea
Abstract
This paper explores tools for modeling and measuring the compositional heterogeneity of a rock, or other solid specimen. Intuitive ``variation per decade'' plots, simple expressions for containment probability, generalization for familiar errorinthemean expressions, and a useful dimensionless sample bias coefficient all emerge from the analysis. These calculations have also inspired subsequent work on loglog roughness spectroscopy (with applications to scanning probe microscope data), and on angular correlation mapping of lattice fringe images (with applications in high resolution transmission electron microscopy). It was originally published as Appendix E of a dissertation on ``Microcharacterization of interplanetary dust collected in the earth's stratosphere''.
 Publication:

arXiv eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:condmat/0403013
 Bibcode:
 2004cond.mat..3013F
 Keywords:

 Condensed Matter  Materials Science;
 Mathematics  Probability;
 Physics  Geophysics
 EPrint:
 9 pages (3 figs, 14 refs) RevTeX, comments http://www.umsl.edu/~fraundor/covariances.html