File:Errors per electron of the predicted total energies.png

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Captions

Captions

Error per electron when predicting total energies of first-row atoms.

Summary[edit]

Description
English: The exact values are from (D.P. O'neill and P.M.W. Gill, 2005). The mean-absolute-error (MAE) are shown in the inset. The difference between the predicted total energy and the exact total energy is first computed, and then divided by the number of electrons to obtain the "error per electron".
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Total energies in Hatrees:
Atom    Exact  Chachiyo     B3LYP       PBE      TPSS
H	  -0.5000   -0.5032   -0.5024   -0.4999   -0.4942
He	  -2.9037   -2.9088   -2.9151   -2.8928   -2.9095
Li	  -7.4781   -7.4857   -7.4922   -7.4612   -7.4886
Be	 -14.6674  -14.6589  -14.6726  -14.6290  -14.6712
B	 -24.6539  -24.6475  -24.6649  -24.6112  -24.6687
C	 -37.8450  -37.8397  -37.8608  -37.7975  -37.8661
N	 -54.5892  -54.5823  -54.6057  -54.5342  -54.6149
O	 -75.0673  -75.0660  -75.0990  -75.0129  -75.1081
F	 -99.7339  -99.7318  -99.7736  -99.6731  -99.7773
Ne	-128.9376 -128.9277 -128.9771 -128.8623 -128.9773

Exact ref: D.P. O’neill and P.M.W. Gill, "Benchmark correlation 
energies for small molecules", Mol. Phys. 103 (2005) 763–766, 
https://doi.org/10.1080/00268970512331339323.


ERKALE Input file:
System correlation/ne.xyz
Method gga_x_chachiyo+gga_c_chachiyo
#Method hyb_gga_xc_b3lyp
#Method gga_x_pbe-gga_c_pbe
#Method mgga_x_tpss-mgga_c_tpss
Basis  aug-cc-pVQZ
Multiplicity 1
Charge       0
Direct True
UseLM  True


B3LYP:
P. J. Stephens, F. J. Devlin, C. F. Chabalowski, and M. J. Frisch, 
J. Phys. Chem. 98, 11623 (1994)
https://doi.org/10.1021/j100096a001

PBE:
J. P. Perdew, K. Burke, and M. Ernzerhof,
Phys. Rev. Lett. 77, 3865 (1996)
https://doi.org/10.1103/PhysRevLett.77.3865

TPSS:
J. Tao, J. P. Perdew, V. N. Staroverov, and G. E. Scuseria,
Phys. Rev. Lett. 91, 146401 (2003)
https://doi.org/10.1103/PhysRevLett.91.146401

Chachiyo: 
T. Chachiyo, H. Chachiyo, 
Computational and Theoretical Chemistry 1172, 112669.
https://doi.org/10.1016/j.comptc.2019.112669
Date
Source Own work
Author Teepanis

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