The encapsulation of the tetracationic palladium metallosquare with four pyrene-bis-imidazolylidene ligands [1] 4+ with as eries of organic molecules was studied by Electrosprayi onization Travelling Wave Ion-Mobility Mass Spectrometry (ESI TWIM-MS). The method allowed to determine the Collision Cross Sections (CCSs), whichw ere used to assess the sizec hanges experienced by the host upon encapsulation of the guest molecules.W hen fullerenes were used as guests,the host is expanded DCCS 13 2 and 23 2 ,for C 60 or C 70 ,r espectively.T he metallorectangle [1] 4+ was also used for the encapsulation of as eries of polycyclic aromatic hydrocarbons (PAHs) and naphthalenetetracarboxylic diimide (NTCDI), to form complexes of formula [(NTCDI) 2 -(PAH)@1] 4+ .F or these host:guest adducts,t he ESI IM-MS studies revealed that [1] 4+ is expanded by 47-49 2 .. The energy-minimized structures of [1] 4+ ,[ C 60 @1] 4+ ,[ C 70 @1] 4+ , [(NTCDI) 2 (corannulene)@1] 4+ in the gas phase were obtained by DFT calculations.Introduction