Phys. Rev. B 59, 1758–1775 (1999)From ultrasoft pseudopotentials to the projector augmented-wave methodReceived 6 July 1998; published in the issue dated 15 January 1999 The formal relationship between ultrasoft (US) Vanderbilt-type pseudopotentials and Blöchl’s projector augmented wave (PAW) method is derived. It is shown that the total energy functional for US pseudopotentials can be obtained by linearization of two terms in a slightly modified PAW total energy functional. The Hamilton operator, the forces, and the stress tensor are derived for this modified PAW functional. A simple way to implement the PAW method in existing plane-wave codes supporting US pseudopotentials is pointed out. In addition, critical tests are presented to compare the accuracy and efficiency of the PAW and the US pseudopotential method with relaxed core all electron methods. These tests include small molecules (H2, H2O, Li2, N2, F2, BF3, SiF4) and several bulk systems (diamond, Si, V, Li, Ca, CaF2, Fe, Co, Ni). Particular attention is paid to the bulk properties and magnetic energies of Fe, Co, and Ni. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.59.1758
DOI:
10.1103/PhysRevB.59.1758
PACS:
71.15.Hx, 71.15.Pd
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