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We present an analytical expression for the local field factor G(q) of thehomogeneous electron gas which reproduces recently published QuantumMonte--Carlo data by S. Moroni, D.M. Ceperley, and G. Senatore [Phys. Rev.Lett. 75, 689 (1995)], reflects the theoretically known asymptotic behavioursfor both small and large q limits, and allows to express theexchange-correlation kernel K_{xc} analytically in both the direct andreciprocal spaces. The last property is particularly useful in numericalapplications to real solidsComment: RevTex, 2 PostScript figure

physical review. b, condensed matter

Analytical expressions for the local-field factor<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>G</mml:mi><mml:mo>(</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>and the exchange-correlation kernel<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>xc</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn /><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo…

Analytical expressions for the local-field factorG(q)and the exchange-correlation kernelKxc(r