The non-relativistic limit of your expression for Fermi energy (ef) is shown in the figure below please convey to that figure.
The Fermi energy is the energy difference between the highest and lowest occupied single-particle states in a quantum system of non-interacting fermions at absolute zero temperature. The lowest occupied state in a Fermi gas is supposed to have no kinetic energy, in contrast to the lowest occupied state in a metal, which is frequently thought to represent the bottom of the conduction band. The term "Fermi energy" is frequently used to refer to the Fermi level, a different but closely related concept (also called electrochemical potential). At least in the context of this article, the Fermi level and Fermi energy differ significantly from one another: The Fermi level is defined at any temperature, but the Fermi energy is only stated at absolute zero. The Fermi level is a total energy level made up of both kinetic energy and potential energy (often corresponding to a kinetic energy). Even in complex interacting systems in thermodynamic equilibrium, the Fermi level is well defined, while the Fermi energy can only be specified for non-interacting fermions.
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