Growing interest in understanding the relationship between the global foldi
ng of nucleic acids and the sequence-dependent structure of individual base
-pair steps has stimulated the development of new mathematical methods to d
efine the geometry of the constituent base-pairs. Several approaches, desig
ned to meet guidelines set by the nucleic acid community, permit rigorous c
omparative analyses of different three-dimensional structures, as well as a
llow for reconstruction of chain molecules at the base-pair level. The diff
erent computer programs, however, yield inconsistent descriptions of chain
conformation. Here we report our own implementation of seven algorithms use
d to determine base-pair and dimer step parameters. Aside from reproducing
the results of individual programs, we uncover the reasons why the differen
t algorithms come to conflicting structural interpretations. The choice of
mathematics has only a limited effect on the computed parameters, even in h
ighly deformed duplexes. The results are much more sensitive to the choice
of reference frame. The disparate schemes yield very similar conformational
descriptions if the calculations are based on a common reference frame. Th
e current positioning of reference frames at the inner and outer edges of c
omplementary bases exaggerates the rise at distorted dimer steps, and point
s to the need for a carefully defined conformational standard. (C) 1999 Aca
demic Press.