
Q. In a certain two-dimensional lattice, the energy dispersion of the electrons is

where ๐โโย = (๐๐ฅ , ๐๐ฆ) denotes the wave vector, ๐ is the lattice constant and ๐ก is a constant in units of eV. In this lattice the effective mass tensor ๐๐๐ of electrons calculated at the center of the Brillouin zone has the form

The value of ๐ผ (rounded off to three decimal places) is ย ย ย ย ย ย ย ย ย ย ย
Ans: 0.33