The inherent conformational preferences of the neutral beta-peptide foldamer series, Ac-(ACHC)(n)-NHBn, n = 2-4, are studied in the gas phase using conformation-specific IR-UV double resonance methods. The cyclically constrained chiral beta-amino acid cis-2-aminocyclohexane carboxylic acid (ACHC) is designed to bring both right- and left-handed helices into close energetic proximity. Comparison of the infrared spectra in the NH stretch and amide I/II regions with the predictions of DFT calculations lead to the unambiguous assignment of four out of the six observed conformations of the molecules in this series, while corroborating computational and spectral evidence, affords tentative assignments of the remaining two conformers for which IR data were not recorded. The observed structures fall into one of two conformational families: a right-handed 12/10-mixed helix or its "cap-disrupted" left-handed helical analogue, which coexist with significant populations. Site-specific and stereospecific methylation on the cyclohexane backbone at the dipeptide (n = 2) level is also tested as a means to sterically lock in a predetermined cyclohexane chair conformation. These substitutions are proven to be a means of selectively driving formation of one helical screw sense or the other. Calculated relative energies and free energies of all possible structures for the molecules provide strong supporting evidence that the rigid nature of the ACHC residue confers unusual stability to the 12/10-mixed helix conformation, regardless of local environment, temperature, or C-terminal capping unit. The simultaneous presence of both handed helices offers unique opportunities for future studies of their interconversion.