A composition comprising a conformationally flexible conjugated polymer bound to or associated with at least one member of a binding pair comprising a sensor molecule and a target molecule or the complex they form, wherein the polymer comprises at least one angled linker having bonds to its two adjacent polymeric units which form an angle of less than 155° with respect to one another, wherein the angled linker is an optionally substituted aromatic molecule selected from the group consisting of 1,2-benzene, 1,3-benzene, 1,2-naphthalene, 1,3-naphthalene, 1,6-naphthalene, 1,7-naphthalene, 1,8-naphthalene, 1,2-anthracene, 1,3-anthracene, 1,6-anthracene, 1,7-anthracene, 1,8-anthracene, 1,9-anthracene, 2,3-biphenyl, 2,4-biphenyl, 2,6-biphenyl, 3,3'-biphenyl, 3,4-biphenyl, 3,5-biphenyl, 2,2'-biphenyl, 2,3'-biphenyl, 2,4'-biphenyl, and 3,4'-biphenyl having at least two separate bonds to other polymer components that forms angles relative to one another; wherein the two bonds to other polymeric components are coplanar, and the angle is determined by extending lines representing those bonds to the point at which they intersect, and then measuring the angle between them; or wherein the two bonds to other polymeric components are not coplanar, and the angle is determined as follows: a first line is drawn between the two ring atoms to which the bonds attach; two bond lines are drawn, one extending from each ring atom in the direction of its respective bond to the other polymeric component to which it is joined; the angle between each bond line and the first line is fixed; and the two ring atoms are then merged into a single point by shrinking the first line to a zero length; the angle then resulting between the two bond lines is the angle the angled linker imparts to the conjugated polymer; and wherein the polymer has the structure: CP 1, CP 2, CP 3 and CP 4 are optionally substituted conjugated polymer segments or oligomeric structures, and may be the same or different from one another; LU 1 and LU 2 are each an angled linker forming a bond angle to two adjacent polymeric units of less than 155°, and are each a mono- or polycyclic optionally substituted aryl group having 5 to 20 atoms selected from the group consisting of 1,2-benzene, 1,3-benzene, 1,2-naphthalene, 1,3-naphthalene, 1,6-naphthalene, 1,7-naphthalene, 1,8-naphthalene, 1,2-anthracene, 1,3-anthracene, 1,6-anthracene, 1,7-anthracene, 1,8-anthracene, 1,9-anthracene, 2,3-biphenyl, 2,4-biphenyl, 2,6-biphenyl, 3,3'-biphenyl, 3,4-biphenyl, 3,5-biphenyl, 2,2'-biphenyl, 2,3'-biphenyl, 2,4'-biphenyl, and 3,4'-biphenyl; m and n are independently 0 to 10,000, wherein m+n>1; b and e are independently 0 to 250, wherein b+e>1; a, c, d and f are independently 0 to 250; and G and G1 are capping units and may be the same or different, and are selected from activated units that allow further chemical reaction to extend the polymer chain, and nonactivated termination units. CP 1, CP 2, CP 3 and CP 4 are optionally substituted conjugated polymer segments or oligomeric structures, and may be the same or different from one another; LU 1 and LU 2 are each an angled linker forming a bond angle to two adjacent polymeric units of less than 155°, and are each a mono- or polycyclic optionally substituted aryl group having 5 to 20 atoms selected from the group consisting of 1,2-benzene, 1,3-benzene, 1,2-naphthalene, 1,3-naphthalene, 1,6-naphthalene, 1,7-naphthalene, 1,8-naphthalene, 1,2-anthracene, 1,3-anthracene, 1,6-anthracene, 1,7-anthracene, 1,8-anthracene, 1,9-anthracene, 2,3-biphenyl, 2,4-biphenyl, 2,6-biphenyl, 3,3'-biphenyl, 3,4-biphenyl, 3,5-biphenyl, 2,2'-biphenyl, 2,3'-biphenyl, 2,4'-biphenyl, and 3,4'-biphenyl; m and n are independently 0 to 10,000, wherein m+n>1; b and e are independently 0 to 250, wherein b+e>1; a, c, d and f are independently 0 to 250; and G and G1 are capping units and may be the same or different, and are selected from activated units that allow further chemical reaction to extend the polymer chain, and nonactivated termination units.