Figure shows scatter plots of work equivalent versus productivity with the points coloured by the heat transfer coefficient for values of work equivalent below the 2.5 MJ kg -1 value found previously for Lewatit® VP OC 1065 in a TVSA process. The plot clearly shows that the highest productivities are only accessible with the highest heat transfer coefficient values in a TVSA process. The ESI Figures and show the same plots for heat capacity and density, respectively. We observe that, generally, the lowest energy consumption is only achievable with the lowest heat capacities, particularly for the § The qualifiers are not based on a specific system and are purely qualitatively. This is because some performance indicators have a greater impact on process performance. For example, productivity is more important than specific electricity, as the specific electricity does not tend to vary as much across the whole sensitivity analysis, and productivity is likely a greater contributor to cost currently via the capital costs. In addition, sometimes a parameter is not one of the lowest ranked despite having a very small Sobol index, like 𝑛 𝑠,0,𝐶𝑂2 in a S-TVSA process in its impact on specific thermal energy. Email: jpy1@hw.ac.uk RCCS, Heriot-Watt University TVSA process. Additionally, the highest productivities are only accessible to higher density adsorbents for both the TVSA and the S-TVSA processes. Figure presents how we may start comparing the most common supports used when designing amine-functionalised adsorbents. Here, we have taken SBA-15 as an example of a silica support and γalumina as an example of an alumina support. We have compared their heat capacity, conductivity, and density. We also added properties of functionalised cellulose and Lewatit® VP OC 1065 for reference, although it is important to note that functionalisation will change the properties of alumina and silica.