Analytical calculation of the axis angle 2V from extinction measurements on the spindle stage
Computational Physics
2017-03-02 v1 Chemical Physics
Data Analysis, Statistics and Probability
Abstract
A concise derivation of the "Joel equations", which allow for the determination of the axis angle 2V from measurements of extinction directions on a spindle stage, is provided starting from the wave-equation. Only analytic methods and no geometric arguments referring to stereographic projections are invoked. For error free data, the resulting equations allow for a closed form solution. If angle data with measurement error are to be used, a maximum likelihood estimation methodology is proposed, which may be solved using e.g. iterative reweighting. The method is tested with and compared to published data.
Keywords
Cite
@article{arxiv.1703.00070,
title = {Analytical calculation of the axis angle 2V from extinction measurements on the spindle stage},
author = {Florian Dufey},
journal= {arXiv preprint arXiv:1703.00070},
year = {2017}
}