  In this paper, we study thermodynamic geometry for pure Lovelock black holes.
The thermodynamics scalar curvature contains information about the interaction
of microstates that might be repulsive or attractive. We obtain critical
exponents and critical amplitudes of scalar and extrinsic curvatures for small
and large black holes for various dimensions. We demonstrate that this model
thermodynamic Ricci scalar scaling behavior has a universal behavior for
different dimensions. Moreover, we determine the order of phase transition by
using Ehrenfest equations and the Prigogine Defay ratio. We also consider the
extended phase space and investigate the critical behavior of the pure Lovelock
black holes for various dimensions.
