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We provide a comparison of accurate full potential band calculations of theFermi surfaces areas and masses of MgB2 and ZrB2 with the de Haas-van Alphendate of Yelland et al. and Tanaka et al., respectively. The discrepancies inareas in MgB2 can be removed by a shift of sigma-bands downward with respect topi-bands by 0.24 eV. Comparison of effective masses lead to orbit averagedelectron-phonon coupling constants lambda(sigma)=1.3 (both orbits),lambda(pi)=0.5. The required band shifts, which we interpret as an exchangeattraction for sigma states beyond local density band theory, reduces thenumber of holes from 0.15 to 0.11 holes per cell. This makes the occurrence ofsuperconductivity in MgB2 a somewhat closer call than previously recognized,and increases the likelihood that additional holes can lead to an increased Tc.Comment: 7 pages including 4 figure

physical review. b, condensed matter

Fermi surfaces of diborides: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">MgB</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">ZrB</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Fermi surfaces of diborides: MgB2andZrB2