Self-support length is the maximum length of a vertical column of the material (assuming a fixed cross-section) that could suspend its own weight when supported only at the top this is an important consideration in the construction of a space elevator. While it is unlikely a strand one molecule wide to stretch from the surface of the Earth to space, it would be interesting to know what the longest self-support length a chain one molecule wide (single-chain polymers) could be.
A larger molecule gives a larger cross section, but it is also heavier. Most space elevator concepts are tapered to provide additional strength where the load is greatest.
What kind of single-chain polymers can provide the longest self-support length for a column one molecule wide, and what would that self-support length be?