Hi Eugene,
Thank you for your question regarding the two sets of base-pair (bp) parameters. I am glad that you pay attention to this 'little' detail, because it is quite subtle and take some effort to really make sense of.
Please read the following two blog posts to get the background information why the 'Simple-bpParams' came into being.
By and large, the set of 'simple' bp parameters was inspired by a recent article, titled "
A context-sensitive guide to RNA & DNA base-pair & base-stack geometry", by Dr. Jane Richardson, published in CCN (Computational Crystallography Newsletter, 2015, 5, 42—49). Highlighted in the article are Buckle and Propeller twist, two of the angular parameters to characterize bp non-planarity.
Both set of parameters are 'correct': they represent different perspectives of seeing the same 'real' world. Using U12–G531 in 1ffk as an example, the 'Simple' Propeller is +11.8º which matches more 'intuitively' the image below; the 'rigorous' Propeller is +2.97º, which appears to a bit 'too' small. More strikingly, the signs of Stretch are opposite in this example. You will notice quite different values in different ways for non-canonical pairs.
Technically, the differences come from the reference frames used. The 'simple' set is just for getting a set of parameters for '
description' only, and it makes more 'intuitive' sense (per Jane Richardson) without considering rebuilding. The six rigid-body parameters as in the original 3DNA program are rigorous, and can be used for exact reconstruction of the corresponding bp geometry. These two sets match very well for the most common Watson-Crick bps, but differ to various extent for non-canonical pairs.
HTH,
Xiang-Jun