When expressing the Σ2 relationships, it is necessary to
remember several symmetry-based equivalencies:
Once the origin-defining reflections have been chosen, the Σ2 rule can be used to determine
more phases:
These are all the relationships between the three origin-defining reflections. It is interesting to note that,
due to the monoclinic symmetry, reflections 1 & 8 can participate in two different &Sigma2
relationships, producing two different, non-symmetry-related reflections. Also, for every reflection successfully
phased, a total of (up to) four new reflections are obtained.
The process can now be continued; these newly phased reflections lead to more reflections being phased through
additional Σ2 relationships. Eventually, enough phases in the subset of strong reflections
can be determined to construct an approximate electron density map that reveals the locations of the atoms in
the structure.