Patent ID: 7985424

Claim:
A dendritic polymer of Formula (I): wherein: (C) means a core; (FF) means a focal point functionality component of the core; x is independently 0 or an integer from 1 to N c −1, provided that N c −x must be at least 1; (BR) means a branch cell, which, if p is greater than 1, then (BR) may be the same or a different moiety; p is the total number of branch cells (BR) in the dendrimer and is an integer from 1 to 2000 derived by the following equation p = Total ⁢ ⁢ # ⁢ ⁢ of ⁢ [ BR ] = ( N b 1 N b + N b 2 N b + N b 3 N b + … ⁢ ⁢ N b G N b ) ⁡ [ N c ] = ( ∑ i = 0 i = G - 1 ⁢ N b i ) ⁡ [ N c ] where: G is number of concentric branch cell shells (generation) surrounding the core; where the upper limit is attained at the deGennes dense-packed stage; i is the final generation G; N b is branch cell multiplicity; and N c is core multiplicity and is an integer from 1 to 1000; (IF) means interior functionality, which, if q is greater than 1, then (IF) may be the same or a different moiety; q is independently 0 or an integer from 1 to 4000; (EX) means an extender, which, if m is greater than 1, then (EX) may be the same or a different moiety; (EX) may occur prior to or after the (BR) moiety or both prior to and after the (BR) moiety; and (EX) may also have an (IF) moiety present; m is independently 0 or an integer from 1 to 2000; (TF) means a terminal functionality, which, if z is greater than 1, then (TF) may be the same or a different moiety; z means the number of surface groups from 1 to the theoretical number possible for (C) and (BR) for a given generation G and is derived by the following equation z=N c N b G ; where: G, N b and N c are defined as above; and with the proviso that at least one of (EX) or (IF) is present.