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Spectral Momentum Density From Graphite From Spectroscopy: Comparison With First Principles Calculations, Chao Gao, A. L. Ritter, John R. Dennison, N. A. Holzwarth

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We have measured the spectral momentum density ρ(E,q) of graphite by (e,2e) spectroscopy for momentum parallel and perpendicular to the crystal c axis. In the independent-electron approximation, ρ(E,q)=Σ_G‖U_k(G)‖² δ(q-k-G)δ(E-E(k)) where the one-electron wave function is Ψ_k(r)=e^ik⋅rΣ_GU_k(G)e^iG⋅r) and G is a reciprocal-lattice vector. The measurements covered a range of momentum parallel to the c axis equal to 0≤‖q‖≤1.84 Å^-1 and a range of momentum perpendicular to the c axis equal to 0≤‖q‖≤2.35 Å^-1. The energy range spanned the valence band of graphite from …