The challenge of controlled sampling of the conformations of internal secti
ons of chain molecules, subject to constrained interatomic bond lengths and
angles, is central to many areas of macromolecular science. A new method f
or overcoming this challenge via an internal configuration bias (ICB) Monte
Carlo algorithm is described. It is demonstrated that the algorithm obeys
the detail balance (microscopic reversibility) criterion necessary for perf
orming rigorous molecular simulations in equilibrium ensembles. The algorit
hm is applied to a study of the molecular conformations of cyclic alkane mo
lecules in a vacuum, where it is shown to be up to similar to 2 orders of m
agnitude more efficient than standard molecular dynamics simulation techniq
ues. Qualitative transitions between constrained ring and flexible chain be
havior are observed between 16 and 30 backbone atoms for local structure (t
orsion angle distribution) and between 30 and 50 backbone atoms for global
ring dimensions.