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where kn=k+Kn; Kn are the reciprocal lattice vectors and k is the wave vector inside the first Brillouin zone. Each plane wave is augmented by an atomic-like function in every atomic sphere.

X-ray absorption and emission spectra are determined using Fermi's golden rule and dipole matrix elements (between a core and valence or conduction band state respectively). (Neckel et al. 75)

The solutions to the Kohn-Sham equations are expanded in this combined basis set of LAPW's according to the linear variation method

electric field gradients, isomer shifts, hyperfine fields, NMR chemical shifts, NMR Knight shifts
x-ray emission and absorption spectra, electron energy loss spectra
optical properties
fermi surfaces
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