The structure, energetic, and quantum chemical descriptors of Cs + complexes of calix [4]arene-crown-6 (C4C6) and substituted C4C6, that is, 1,3 alternate-diethoxy C4C6, are reported here based on the analysis of results obtained using density functional theory (DFT). Substitution of benzo group in both C4C6 and 1,3 alternate-diethoxy C4C6 resulted in a reduction of binding energy (BE). Further substitution of the benzo group with methyl, methoxy, and amino groups leads to an increase in BE, and nitro substitution leads to decrease in BE for C4C6, whereas in the case of 1,3 alternate-diethoxy calix[4]arenebenzocrown-6, methoxy substitution leads to the highest BE compared to other complexes. The calculated Gibbs free energy, ΔG gas also followed the same order as BE in the case of 1,3 alternate-diethoxy C4C6 and their substituted ligands. Furthermore, the ΔG of complexation was computed using a thermodynamic cycle with conductor-like screening model in different solvents: toluene, chloroform, octanol, and nitrobenzene. The values of ΔG ext are found to be increased with an increase in the dielectric constant of the solvent and were found to be highest in the nitrobenzene. The atoms in molecule analysis reveals partial ionic character in the Cs O bond. Among all the studied complexes, 1,3 alternate-diethoxy calix[4]arene 3 0-methoxy benzo crown-6 displays highest ΔG ext in nitrobenzene. The calculated value of ΔΔG ext (ΔΔG = ΔG Cs+ − ΔG Na+) is found to be −41.82 kcal/mol with 1,3 alternate-diethoxy calix[4]arene 3 0-methoxy benzocrown-6, which is higher than that obtained with calix [4] bis-crown-6 (−5.24 kcal/mol). The newly designed ligand might be suitable for the selective extraction of Cs + over Na + in the reprocessing of nuclear waste and thus invites experimentalists to test this DFT finding in the laboratory.