Motiv ated b y a new model of nonlinear electrodynamics known as Modified Maxwell (ModMax) theory, an exact analytical solution for black holes is obtained by coupling ModMax nonlinear electrodynamics and F( R ) gravity. Then, the effects of the system’s par ameters (F( R )-ModMax gr avity par ameters) on the e v ent horizons are analyzed. The obtained black hole thermodynamic properties in the F( R )-ModMax theory are investi- gated by extracting their thermodynamic quantities such as Hawking temperature, electric charge, electric potential, entropy, and also total mass. The first law of thermodynamics for the system under study is e valuated. Ne xt, by considering these black holes, the impacts of various parameters on both the local stability and global stability are investigated by examining the heat capacity and the Helmholtz free energy, respecti v el y. Finall y, the ther- modynamic geometry of the black hole in F( R )-ModMax gravity is investigated by a ppl ying the Hendi–P anahiyan–Eslam P anah–Momennia thermodynamic metric (HPEM’s metric).
