Calculate the energy dispersion for s-band in the bcc lattice for the tight binding approximation.
Note: For the central atom located at (0,0,0) in the bcc unit cell, the nearest neighbours are located at , where a is the lattice constant.
In the tight binding approximation, the energy dispersion for an s-band is given by [ E(\mathbf{k}) = E_0 + \sum_{\mathbf{R}} t(\mathbf{R}) e^{i \mathbf{k} \cdot \mathbf{R}} ] where (E_0) is the on-site energy, (t(\mathbf{R})) is the hopping integral to a neighbour at (\mathbf{R}), and the ______ _______ __________ _____ __________ ___.
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