Thorough conformational study of cellobiose requires consideration of numerous arrangements of the exocyclic groups. Therefore, it is customary to prepare a number of structures with different arrangements of hydroxyl and hydroxymethyl groups. These “starting geometries” are then given different values of the glycosidic linkage torsion angles ϕ and ψ. At each increment of ϕ and ψ, the energy is calculated. Usually, the final product is an “adiabatic” contour plot of the lowest energy at each ϕ/ψ point after considering all of the starting geometries. The present paper advocates for adiabatic maps despite the statement by Schnupf and Momany (preceding paper) that adiabatic maps are not of interest because they contain sparse details about the structures at each minimum. Similar information is computed by their method and adiabatic mapping, and comparable details can be provided from adiabatic studies. Although Schnupf and Momany presented maps from calculations in vacuum and in water that considered all of their calculated energies, they favored the presentation of two to four maps for each of 36 individual minima, each with its own zero of relative energy. However, previous work showed that more structures are needed to provide the lowest energies at each point in ϕ/ψ space. Following their preferred strategy would result in even more maps when the added structures are considered. The need to map individual minima can be avoided by starting calculations with the same exocyclic orientations at each ϕ/ψ point instead of using the preceding optimized structure to start the next energy minimization. Using the same orientations at each point allows periodic maps that depict barriers between minima.