Some reasons not to use spin projected density functional theory

Spin unrestricted calculations using density functional theory can yield wave functions with spin contamination. In conventional post Hartree–Fock calculations (such as Mo/ller–Plesset perturbation theory), spin projection can ameliorate some of the problems caused by spin contamination. However, spin projection can seriously degrade the quality of potential energy surfaces calculated by density functional methods, just as spin projection can yield poor results for Hartree–Fock potential energy surfaces.

[1]  G. G. Hall,et al.  Single determinant wave functions , 1961, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  J. Baker,et al.  Spin contamination in density functional theory , 1993 .

[3]  D. M. Hirst An ab initio potential energy surface for the reaction CH4 → CH3 + H , 1985 .

[4]  N. Handy,et al.  Convergence of projected unrestricted Hartee-Fock Moeller-Plesset series. , 1988 .

[5]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[6]  Frank Jensen,et al.  A spin correction procedure for unrestricted Hartree-Fock and Møller-Plesset wavefunctions for singlet diradicals and polyradicals , 1988 .

[7]  J. Baker An investigation of the annihilated unrestricted Hartree–Fock wave function and its use in second‐order Mo/ller–Plesset perturbation theory , 1989 .

[8]  Wei Chen,et al.  Evaluation of S2 for correlated wave functions and spin projection of unrestricted Mo/ller–Plesset perturbation theory , 1994 .

[9]  H. Bernhard Schlegel,et al.  Potential energy curves using unrestricted Mo/ller–Plesset perturbation theory with spin annihilation , 1986 .

[10]  K. Houk,et al.  Density Functional Theory Prediction of the Relative Energies and Isotope Effects for the Concerted and Stepwise Mechanisms of the Diels−Alder Reaction of Butadiene and Ethylene , 1996 .

[11]  V. H. Smith,et al.  Evaluation of 〈S2〉 in restricted, unrestricted Hartree–Fock, and density functional based theories , 1995 .

[12]  P. Löwdin Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation Effects , 1955 .

[13]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[14]  R. Parr Density-functional theory of atoms and molecules , 1989 .

[15]  C. Cramer,et al.  Density functional theory: excited states and spin annihilation , 1995 .

[16]  I. Mayer The Spin-Projected Extended Hartree-Fock Method , 1980 .

[17]  R. K. Nesbet,et al.  Self‐Consistent Orbitals for Radicals , 1954 .