A recent theoretical investigation by Terzieva & Herbst of linear carbon ch
ains, C-n where n greater than or equal to 6, in the interstellar medium ha
s shown that these species can undergo efficient radiative association to f
orm the corresponding anions. An experimental study by Barckholtz, Snow & B
ierbaum of these anions has demonstrated that they do not react efficiently
with molecular hydrogen, leading to the possibility of detectable abundanc
es of cumulene-type anions in dense interstellar and circumstellar environm
ents. Here we present a series of electronic structure calculations which e
xamine possible anionic candidates for detection in these media, namely the
anion analogues of the previously identified interstellar cumulenes CnH an
d Cn-1CH2 and heterocumulenes CnO (where n = 2-10). The extraordinary elect
ron affinities calculated for these molecules suggest that efficient radiat
ive electron attachment could occur, and the large dipole moments of these
simple (generally) linear molecules point to the possibility of detection b
y radio astronomy.