Some ssDNA products may have strong aggregation tendency
due to the nature of their nucleotide sequences. These
aggregates are most likely formed due to intramolecular
and/or intermolecular forces.
To test whether the extra band in a gel image is ssDNA
aggregates or dsDNA contamination, you can perform a
digestion test using S1 Nuclease, which degrades ssDNA,
but not dsDNA. If the ssDNA product is 100% pure, with no
dsDNA, then all samples should be digested with S1
Nuclease and no band should be observed after running gel
electrophoresis. However, if a product has dsDNA
contamination, then it can't be fully digested after the
addition of S1 Nuclease and still have bands present on
the gel image.
To further confirm whether the extra band is indeed ssDNA
aggregates, you can cut out the ssDNA band on the gel and
run a second around of gel electrophoresis. If the extra
band is aggregated ssDNA molecules, it will still show up
on the second gel after purification. In addition, the
ratio of the extra band over the ssDNA band in the two
gels would remain similar.