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

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

where ๐‘˜โƒ—โ†’ย = (๐‘˜๐‘ฅ , ๐‘˜๐‘ฆ) denotes the wave vector, ๐‘Ž is the lattice constant and ๐‘ก is a constant in units of eV. In this lattice the effective mass tensor ๐‘š๐‘–๐‘— of electrons calculated at the center of the Brillouin zone has the form

The value of ๐›ผ (rounded off to three decimal places) is ย ย ย ย ย ย ย ย ย ย ย 

Ans: 0.33

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