Abstract: Pitch compositions suitable for spinning may comprise: a pitch having a softening point (SP) below 400° C. and is capable of achieving a radial Hencky strain prior to break of about 0.7 to about 10, at spinning temperature (Ts) ranging from about SP?30° C. to about SP+80° C. Methods for producing a carbon fiber from a pitch composition at a temperature within a spinning temperature (Ts) range may comprise determining a temperature range wherein the maximum radial Hencky strain (?R) lies above a minimum process radial Hencky strain, and wherein the minimum process radial Hencky strain is within a range of about 0.7 to about 10. The spinning temperature (Ts) range may be determined by measuring a maximum radial Hencky strain (?R) prior to break at a series of different temperatures and strain rates. Carbon fiber composites may comprise of the said carbon fiber.