The magnetic response of antiferromagnetic CsO2, coming from the p-orbital S = 1/2 spins of anionic O − 2 molecules, is followed by 133 Cs nuclear magnetic resonance across the structural phase transition occuring at Ts1 = 61 K on cooling. Above Ts1, where spins form a square magnetic lattice, we observe a huge, nonmonotonic temperature dependence of the exchange coupling originating from thermal librations of O − 2 molecules. Below Ts1, where antiferromagnetic spin chains are formed as a result of p-orbital ordering, we observe a spin Tomonaga-Luttinger-liquid behavior of spin dynamics. These two interesting phenomena, which provide rare simple manifestations of the coupling between spin, lattice and orbital degrees of freedom, establish CsO2 as a model system for molecular solids.PACS numbers: 75.10. Pq, 75.30.Et, 75.25.Dk, In many magnetic insulators, spins are well decoupled from other degrees of freedom, which implies simple Hamiltonians completely defined by the short-range magnetic exchange interactions. Model systems of this kind provide an excellent playground for the understanding of collective quantum phenomena, including TomonagaLuttinger liquid (TLL) in one-dimensional (1D) antiferromagnets [1], Bose-Einstein condensation of magnons in dimer spin systems [2], quantum criticality in gapped antiferromagnets [3][4][5][6] and spin-liquid behavior in frustrated spin systems [7].In molecular solids, a class of magnetic insulators containing molecules as structural and magnetic units, spins cannot be decoupled from lattice and orbital degrees of freedom. This is particularly pronounced in systems based on small and light anionic O − 2 molecules: alkali superoxides, AO 2 (A = Na, K, Rb, Cs) [8][9][10][11], and alkali sesquioxides, A 4 O 6 (A = Rb, Cs) [12][13][14][15]. Here, the O − 2 anion carries an S = 1/2 spin in a pair of p-derived degenerate π * orbitals [16]. A strong coupling between spin, lattice and orbital degrees of freedom leads to complex physics [12][13][14][15][16][17][18][19][20][21][22], which is nevertheless based on two relatively simple mechanisms characteristic of molecular solids: (i) the O − 2 "dumbbells" can easily reorient, which modulates the overlaps of π * orbitals and thus the exchange coupling between the neighboring spins [11]; (ii) the degeneracy of the π * orbitals is lifted by a structural phase transition involving the tilting of O − 2 dumbbells, which is reminiscent of the Jahn-Teller effect [16]. Calorimetric and magnetic studies indeed revealed several structural phase transitions in AO 2 systems back in the 1970s [9-11], but their origin remained largely unexplained. These interesting observations were systematically revisited only in recent studies [16][17][18][19][20][21][22]. Among them, an important X-ray and Raman scattering study of CsO 2 clearly demonstrated the ordering of p orbitals below the structural phase transition at T s ≈ 70 K, which leads to the formation of 1D antiferromagnetic spin-1/2 chains in an otherwise 2D magnetic lattice [8], as sketched in F...