An azimuthal (A) and axial
(B) alignment of two neighboring B-DNA
molecules. The sketch A is constructed as follows. We
select the plane z = 0 at an arbitrary height. We
then project the positions of two phosphates on molecule 1, each
belonging to a different strand and nearest to the z = 0
plane. These projections are shown by the small, filled circles
numbered as #1 and #2. We repeat the same projection procedure for
molecule 2. We define the phosphate #1 on each molecule as the
phosphate located at the major-to-minor groove crossover upon the
counter clockwise rotation around the corresponding molecular axis. The
angles φ′1 and φ′2 between
the phosphates #1 and the direction of the vector R, defined
as shown, give the azimuthal orientation of each molecule. The
continuous helical lines in B are drawn through the
centers of phosphate groups along the two strands of each molecule.
H is the helical pitch, Δz is the axial
shift needed to superimpose these helical lines after the lateral
translation merging the axes of the molecules. The value of
Δz characterizes the axial alignment.