The present invention is a, solid block copolymer comprising at least two polymer end blocks A and at least one polymer interior block B wherein each A block is a polymer block resistant to lithiation and each B block is a polymer block susceptible to lithiation, and wherein said A and B blocks do not contain any significant levels of olefinic unsaturation. After lithiation, the lithiated polymer is reacted with at least one graftable functional molecule selected from the group consisting of an electrophilic graftable molecule containing a functional group and an electrophile. Preferred are carbon monoxide and ethylene oxide. Also claimed are processes for making such block copolymers, and the various end uses and applications for such block copolymers.