Optimized aerodynamic profile for a turbine vane, in particular for a nozzle of the third stage of a turbine

A turbine vane configured to be mounted to a turbine and presenting an aerodynamic profile, comprising:

• the aerodynamic profile, defining the turbine vane when cold and in a non-coated state, the aerodynamic profile being identical to a nominal profile determined by Cartesian coordinates X,Y,Zadim given in Table 1, in which coordinate Zadim is a quotient D/H, where D is a distance of a point under consideration from a reference X,Y plane situated at a base of the nominal profile, and H is a height of said nominal profile measured from said reference X,Y plane out to an end of the vane, the measurements D and H being taken radially relative to an axial direction of the turbine vane, while the coordinate X is measured in the axial direction of the turbine vane.