  We conjecture that special elements associated with rank-one motives are
obtained $p$-adically from Rubin-Stark elements by means of a precise
`higher-rank Soul\'e twist' construction. We show this conjecture incorporates
a variety of known results and existing predictions and also gives rise to a
concrete strategy for proving the equivariant Tamagawa Number Conjecture for
rank-one motives. We then use this approach to obtain new evidence in support
of the equivariant Tamagawa Number Conjecture in the setting of CM abelian
varieties.
