12 | Ab initio Method/First Principle Calculation | Based on Solution of Schrödinger Equation | Works well for H atom only. For all other atoms, approximations are needed | Robert Parr (Caltech) | 1950 | [288] | |
13 | Hartree Fork Method and Slater Determinant | Uses the variational theorem (which is wavefunction based approach using mean field approximation) | Approximate solution is obtained. It is a form of Ab initio method. |
|
| [289] | |
14 | Evolution of Hartree Fork Method | Self-Constrained Field (SCF) Method | Evolution of HF Method | Approximate solutions |
|
| [289] |
Møller-Plesset (MP) perturbation (MP 1) | Hamiltonian is divided into two parts and solved | ψ and energy are HF ψ and HF energy |
|
| [289] | ||
MP 2 | ψ remain same, energy is changed | ψ is treated by the help of summations |
|
| [289] | ||
Density Functional Theory (DFT) | Energy of system is obtained from electron density | Approximation based |
| 1996 | [290] [291] [292] | ||
15 | Interatomic Potential | Explain Interaction of atoms in a system in terms of potentials | Limited by Accuracy, Transferability and Computational Speed of System | Multi (Many) Body Potentials Daw Baska (Sandia National Labs) | 1984 | [293] |