We study how connectivity influences the crystallization of fully flexible
model polymers by applying a recently advanced amalgamation of the Green-fu
nction description of polymers, and the density-functional theory of simple
liquids. Our calculations show that the model polymers only crystallize if
the effective Kuhn length of the chains is sufficiently large compared wit
h the range of the hard-core interaction between the segments. Also shown i
s the importance of bond-length fluctuations for the stability of the cryst
al phase. (C) 2001 American Institute of Physics.