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Comparison of experiment and theory for rHH

18 10 23 14 56
Species with coordinate rHH
Species Name
H2 Hydrogen diatomic
The small prefix is the number of bonds with completed calculations.
Click on an entry for a histogram of the difference distribution.
rms differences (calculated - experiment) in Å
Methods with predefined basis sets
semi-empirical AM1 1 0.065
composite G2 1 0.011
G3 1 0.011
G3B3 1 0.001
G3MP2 1 0.011
G4 1 0.001
CBS-Q 1 0.012

rms differences (calculated - experiment) in Å
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1 0.029 1 0.007 1 0.007 1 0.011 1 0.011 1 0.009 1 0.009 1 0.010 1 0.006 1 0.009   1 0.007 1 0.006 1 0.007 1 0.007 1 0.008 1 0.007 1 0.007 1 0.008 1 0.014 1 0.007 1 0.007
density functional LSDA 1 0.005 1 0.025 1 0.025 1 0.022 1 0.022 1 0.022 1 0.022 1 0.023 1 0.024 1 0.022 1 0.023 1 0.023 1 0.024 1 0.038 1 0.023 1 0.022 1 0.038 1 0.023 1 0.022   1 0.037 1 0.023
BLYP 1 0.008 1 0.009 1 0.009 1 0.007 1 0.006 1 0.006 1 0.006 1 0.005 1 0.007 1 0.006 1 0.005 1 0.005 1 0.006 1 0.026 1 0.005 1 0.004 1 0.025 1 0.005 1 0.004   1 0.024 1 0.005
B1B95 1 0.013 1 0.004 1 0.004 1 0.000 1 0.000 1 0.000 1 0.000 1 0.002 1 0.002 1 0.000 1 0.000 1 0.000 1 0.001 1 0.019 1 0.000 1 0.001 1 0.018 1 0.000 1 0.001   1 0.016 1 0.000
B3LYP 1 0.013 1 0.005 1 0.005 1 0.001 1 0.001 1 0.001 1 0.001 1 0.000 1 0.003 1 0.001 1 0.001 1 0.001 1 0.002 1 0.020 1 0.001 1 0.000 1 0.019 1 0.001 1 0.000 1 0.027 1 0.018 1 0.001
B3LYPultrafine 1 0.013 1 0.005 1 0.005 1 0.001 1 0.001 1 0.001 1 0.001 1 0.000 1 0.003 1 0.001 1 0.001 1 0.001 1 0.002 1 0.020 1 0.001 1 0.000 1 0.019 1 0.001 1 0.000   1 0.018 1 0.001
B3PW91 1 0.013 1 0.006 1 0.006 1 0.002 1 0.002 1 0.002 1 0.002 1 0.002 1 0.004 1 0.002 1 0.003 1 0.003 1 0.004 1 0.019 1 0.003 1 0.002 1 0.019 1 0.003 1 0.002   1 0.018 1 0.003
mPW1PW91 1 0.014 1 0.004 1 0.004 1 0.000 1 0.000 1 0.000 1 0.000 1 0.001 1 0.003 1 0.000 1 0.002 1 0.002 1 0.003 1 0.018 1 0.002 1 0.001 1 0.017 1 0.002 1 0.001   1 0.017 1 0.002
M06-2X 1 0.019 1 0.000 1 0.000 1 0.005 1 0.005 1 0.005 1 0.005 1 0.004 1 0.001 1 0.005 1 0.003 1 0.003 1 0.001 1 0.013 1 0.003 1 0.004 1 0.013 1 0.003 1 0.005   1 0.013 1 0.003
PBEPBE 1 0.007 1 0.012 1 0.012 1 0.009 1 0.009 1 0.009 1 0.009 1 0.009 1 0.010 1 0.009 1 0.009 1 0.009 1 0.010 1 0.028 1 0.009 1 0.009 1 0.027 1 0.009 1 0.009 1 0.035 1 0.026 1 0.009
PBEPBEultrafine 1 0.007 1 0.012 1 0.012 1 0.009 1 0.009 1 0.008 1 0.008 1 0.009 1 0.010 1 0.008 1 0.009 1 0.009 1 0.010 1 0.028 1 0.009 1 0.009 1 0.027 1 0.009 1 0.009   1 0.026 1 0.009
PBE1PBE 1 0.014 1 0.006 1 0.006 1 0.002 1 0.002 1 0.002 1 0.002 1 0.003 1 0.005 1 0.002 1 0.004 1 0.004 1 0.004 1 0.020 1 0.004 1 0.003 1 0.019 1 0.004 1 0.003   1 0.019 1 0.004
HSEh1PBE 1 0.014 1 0.006 1 0.006 1 0.002 1 0.002 1 0.002 1 0.002 1 0.002 1 0.005 1 0.002 1 0.003 1 0.003 1 0.004 1 0.020 1 0.004 1 0.003 1 0.019 1 0.004 1 0.003   1 0.019 1 0.004
TPSSh   1 0.002 1 0.002 1 0.003 1 0.003 1 0.002 1 0.002 1 0.000   1 0.002     1 0.001 1 0.015 1 0.005   1 0.015 1 0.001     1 0.014 1 0.001
wB97X-D     1 0.005   1 0.000   1 0.001   1 0.003       1 0.003 1 0.001 1 0.002     1 0.002     1 0.016 1 0.002
B97D3   1 0.007     1 0.003   1 0.003   1 0.004   1 0.003   1 0.004   1 0.003     1 0.003     1 0.020 1 0.003
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1 0.018 1 0.000 1 0.000 1 0.004 1 0.004 1 0.008 1 0.008 1 0.004 1 0.003 1 0.008 1 0.005 1 0.004 1 0.004 1 0.013 1 0.004 1 0.005 1 0.013 1 0.004 1 0.005 1 0.025 1 0.013 1 0.004
MP2=FULL 1 0.018 1 0.000 1 0.000 1 0.004 1 0.004 1 0.008 1 0.008 1 0.004 1 0.003 1 0.008 1 0.005 1 0.004 1 0.004 1 0.013 1 0.004 1 0.005 1 0.014 1 0.004 1 0.005 1 0.025 1 0.013 1 0.004
MP3 1 0.011 1 0.004 1 0.004 1 0.000 1 0.000 1 0.006 1 0.006 1 0.000 1 0.001 1 0.006 1 0.002 1 0.002 1 0.002 1 0.016 1 0.002 1 0.003 1 0.017 1 0.001 1 0.003   1 0.017 1 0.001
MP3=FULL         1 0.000   1 0.006           1 0.002 1 0.016 1 0.002           1 0.017 1 0.001
MP4 1 0.008 1 0.006 1 0.006 1 0.003 1 0.003 1 0.004 1 0.004 1 0.003 1 0.001 1 0.004 1 0.001 1 0.000 1 0.000 1 0.018 1 0.000 1 0.001 1 0.019 1 0.000 1 0.001   1 0.018 1 0.000
MP4=FULL 1 0.008 1 0.006 1 0.006 1 0.003 1 0.003 1 0.004 1 0.004 1 0.003 1 0.001 1 0.004 1 0.001 1 0.000   1 0.018 1 0.000 1 0.001 1 0.019 1 0.000 1 0.001   1 0.018 1 0.000
B2PLYP 1 0.016 1 0.002 1 0.002 1 0.002 1 0.002 1 0.003 1 0.003 1 0.002 1 0.000 1 0.003 1 0.001 1 0.001 1 0.001 1 0.017 1 0.001 1 0.002 1 0.016 1 0.001 1 0.002   1 0.016 1 0.001
B2PLYP=FULL 1 0.016 1 0.002 1 0.002 1 0.002 1 0.002 1 0.003 1 0.003 1 0.002 1 0.000 1 0.003     1 0.001 1 0.017 1 0.001   1 0.016 1 0.001     1 0.016 1 0.001
B2PLYP=FULLultrafine 1 0.016 1 0.002 1 0.002 1 0.002 1 0.002 1 0.003 1 0.003 1 0.002 1 0.000 1 0.003     1 0.001 1 0.017 1 0.001   1 0.016 1 0.001     1 0.016 1 0.001
Configuration interaction CID 1 0.007 1 0.008 1 0.008 1 0.004 1 0.004 1 0.004 1 0.004 1 0.005 1 0.001 1 0.004 1 0.000 1 0.001   1 0.019 1 0.001 1 0.000 1 0.019 1 0.001 1 0.000   1 0.019 1 0.001
CISD 1 0.007 1 0.008 1 0.008 1 0.004 1 0.005   1 0.003 1 0.005 1 0.002 1 0.003 1 0.001 1 0.001   1 0.019 1 0.001 1 0.000 1 0.020 1 0.001 1 0.000   1 0.019 1 0.001
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1 0.007 1 0.008 1 0.008 1 0.004 1 0.005 1 0.003 1 0.003 1 0.005 1 0.002 1 0.003 1 0.001 1 0.001 1 0.001 1 0.019 1 0.001 1 0.000 1 0.020 1 0.001 1 0.000   1 0.019 1 0.001
QCISD(T) 1 0.007 1 0.008 1 0.008 1 0.005 1 0.005 1 0.003 1 0.003 1 0.005 1 0.002 1 0.003 1 0.001 1 0.001 1 0.001 1 0.020 1 0.001 1 0.000 1 0.020 1 0.002 1 0.001   1 0.020 1 0.002
QCISD(T)=FULL         1 0.005   1 0.003             1 0.020 1 0.001 1 0.000 1 0.020 1 0.002 1 0.001   1 0.020 1 0.002
Coupled Cluster CCD 1 0.007 1 0.008 1 0.008 1 0.004 1 0.004 1 0.004 1 0.004 1 0.005 1 0.001 1 0.004 1 0.000 1 0.001 1 0.000 1 0.019 1 0.001 1 0.000 1 0.020 1 0.001 1 0.000   1 0.019 1 0.001
CCSD   1 0.008 1 0.008 1 0.004 1 0.005 1 0.003 1 0.003 1 0.005 1 0.002 1 0.003 1 0.001 1 0.001 1 0.001 1 0.019 1 0.001 1 0.000 1 0.020 1 0.001 1 0.000   1 0.019 1 0.001
CCSD=FULL   1 0.008 1 0.008 1 0.004 1 0.004 1 0.003 1 0.003 1 0.005 1 0.002 1 0.003 1 0.001 1 0.001 1 0.001 1 0.019 1 0.001 1 0.000 1 0.020 1 0.001 1 0.000   1 0.019 1 0.001
CCSD(T)   1 0.008 1 0.008 1 0.005 1 0.005 1 0.003 1 0.003 1 0.005   1 0.003 1 0.001 1 0.001 1 0.001 1 0.020 1 0.001 1 0.000 1 0.020 1 0.002 1 0.001   1 0.020 1 0.002
CCSD(T)=FULL   1 0.008 1 0.008 1 0.005 1 0.005 1 0.003 1 0.003 1 0.005 1 0.002 1 0.003 1 0.001 1 0.001 1 0.001 1 0.020 1 0.001 1 0.000 1 0.020 1 0.002 1 0.001   1 0.020 1 0.002
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ

rms differences (calculated - experiment) in Å
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD cc-pVTZ-PP aug-cc-pVTZ-PP Def2TZVPP
hartree fock HF 1 0.010 1 0.010 1 0.010 1 0.010 1 0.010 1 0.010     1 0.007
density functional LSDA 1 0.023 1 0.023 1 0.023 1 0.023 1 0.023 1 0.023      
BLYP 1 0.007 1 0.007 1 0.005 1 0.005 1 0.007 1 0.007      
B1B95 1 0.001 1 0.001 1 0.001 1 0.001 1 0.000 1 0.000      
B3LYP 1 0.002 1 0.002 1 0.000 1 0.000 1 0.002 1 0.002     1 0.001
B3LYPultrafine 1 0.002 1 0.002 1 0.000 1 0.000 1 0.002 1 0.002      
B3PW91 1 0.003 1 0.003 1 0.002 1 0.002 1 0.003 1 0.003      
mPW1PW91 1 0.001 1 0.001 1 0.001 1 0.001 1 0.001 1 0.001      
M06-2X 1 0.004 1 0.004 1 0.004 1 0.004 1 0.004 1 0.004      
PBEPBE 1 0.010 1 0.010 1 0.009 1 0.009 1 0.010 1 0.010     1 0.009
PBEPBEultrafine 1 0.010 1 0.010 1 0.009 1 0.009 1 0.010 1 0.010      
PBE1PBE 1 0.003 1 0.003 1 0.003 1 0.003 1 0.003 1 0.003      
HSEh1PBE 1 0.003 1 0.003 1 0.002 1 0.002 1 0.003 1 0.003      
Moller Plesset perturbation MP2 1 0.003 1 0.003 1 0.004 1 0.004 1 0.003 1 0.003     1 0.004
MP2=FULL 1 0.003 1 0.003 1 0.004 1 0.004 1 0.003 1 0.003      
MP3 1 0.001 1 0.001 1 0.000 1 0.000 1 0.001 1 0.001      
MP4 1 0.004 1 0.004 1 0.003 1 0.003 1 0.004 1 0.004      
MP4=FULL 1 0.004 1 0.004 1 0.003 1 0.003 1 0.004 1 0.004      
B2PLYP 1 0.001 1 0.001 1 0.002 1 0.002 1 0.001 1 0.001      
Configuration interaction CID 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005      
CISD 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005      
Quadratic configuration interaction QCISD 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005      
QCISD(T) 1 0.006 1 0.006 1 0.005 1 0.005 1 0.006 1 0.006      
Coupled Cluster CCD 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005      
CCSD 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005      
CCSD=FULL 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005 1 0.005      
CCSD(T) 1 0.006 1 0.006 1 0.005 1 0.005 1 0.006 1 0.006      
CCSD(T)=FULL 1 0.006 1 0.006 1 0.005 1 0.005 1 0.006 1 0.006      
For descriptions of the methods (AM1, HF, MP2, ...) and basis sets (3-21G, 3-21G*, 6-31G, ...) see the glossary in section I.C. Predefined means the basis set used is determined by the method.