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Comparison of experiment and theory for rHF

18 10 23 14 56
Species with coordinate rHF
Species Name
HF Hydrogen fluoride
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 2 0.125
PM3 2 0.016
PM6 2 0.043
composite G2 2 0.007
G3 2 0.007
G3B3 2 0.093
G3MP2 1 0.006
G4 2 0.003
CBS-Q 2 0.017

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 cc-pCVDZ cc-pCVTZ cc-pCVQZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 2 0.030 2 0.025 2 0.025 2 0.006 2 0.008 2 0.023 2 0.023 2 0.030 2 0.030 2 0.028 2 0.029 1 0.020 2 0.025 2 0.022 2 0.027 2 0.028 2 0.025 2 0.026 2 0.028 1 0.015 1 0.019 1 0.020 2 0.026 2 0.026
ROHF   1 0.028 1 0.028 1 0.006 1 0.010 1 0.030 1 0.010 1 0.039 1 0.037   1 0.037   1 0.032 1 0.027 1 0.034 1 0.035 1 0.032 1 0.033 1 0.035       1 0.033 1 0.033
density functional LSDA 2 0.073 1 0.058 1 0.058 2 0.047 2 0.026 1 0.015 1 0.019 2 0.017 1 0.011 1 0.009 1 0.014 1 0.014 1 0.016 1 0.017 1 0.014 1 0.013 1 0.018 1 0.016 1 0.014          
BLYP 2 0.085 2 0.070 2 0.070 2 0.051 2 0.028 2 0.019 2 0.021 2 0.018 2 0.012 2 0.012 2 0.014 1 0.016 2 0.017 2 0.023 2 0.015 1 0.015 2 0.019 2 0.017 1 0.016       2 0.019 2 0.016
B1B95 2 0.064 2 0.049 2 0.049 2 0.031 2 0.012 2 0.010 2 0.005 2 0.005 2 0.007 2 0.005 2 0.007 1 0.000 2 0.004 2 0.004 2 0.005 1 0.000 2 0.003 2 0.004 1 0.000       2 0.003 2 0.005
B3LYP 2 0.069 2 0.056 2 0.056 2 0.036 2 0.018 2 0.007 2 0.009 2 0.006 2 0.004 2 0.002 2 0.004 1 0.006 2 0.006 2 0.010 2 0.004 2 0.003 2 0.007 2 0.005 2 0.004 1 0.010 1 0.006 1 0.005 2 0.007 2 0.005
B3LYPultrafine 1 0.079 2 0.056 1 0.052 1 0.033 2 0.018 2 0.007 2 0.009 2 0.006 1 0.003 2 0.002 2 0.004 1 0.006 2 0.006 2 0.010 2 0.004 1 0.005 2 0.007 2 0.005 1 0.006       2 0.007 2 0.005
B3PW91 2 0.065 2 0.050 2 0.050 2 0.032 2 0.014 2 0.004 2 0.006 2 0.005 2 0.006 2 0.004 2 0.006 1 0.003 2 0.004 2 0.006 2 0.004 1 0.002 2 0.005 2 0.004 1 0.003       2 0.004 2 0.004
mPW1PW91 2 0.062 2 0.048 2 0.048 2 0.029 2 0.012 2 0.004 2 0.005 2 0.007 2 0.009 2 0.006 2 0.008 1 0.000 2 0.005 2 0.004 2 0.006 1 0.000 2 0.004 2 0.006 1 0.001       2 0.004 2 0.006
M06-2X 2 0.057 2 0.050 2 0.050 2 0.030 2 0.013 2 0.003 2 0.004 2 0.005 2 0.007 2 0.005 2 0.005 1 0.001 2 0.004 2 0.004 2 0.004 1 0.001 2 0.004 2 0.004 1 0.002       2 0.004 2 0.004
PBEPBE 2 0.079 2 0.065 2 0.065 2 0.046 2 0.026 2 0.014 2 0.017 2 0.014 2 0.008 2 0.009 2 0.010 1 0.013 2 0.014 2 0.018 2 0.011 1 0.013 2 0.016 2 0.013 1 0.014       2 0.015 2 0.013
PBEPBEultrafine 1 0.089 2 0.065 1 0.062 1 0.042 2 0.026 2 0.014 2 0.017 2 0.014 1 0.011 2 0.009 2 0.010 1 0.013 2 0.014 2 0.019 2 0.011 1 0.013 2 0.016 2 0.013 1 0.014       2 0.015 2 0.013
PBE1PBE 2 0.061 2 0.049 2 0.049 2 0.030 2 0.013 2 0.010 2 0.005 2 0.006 2 0.008 2 0.006 2 0.007 1 0.001 2 0.004 2 0.004 2 0.005 1 0.001 2 0.004 2 0.005 1 0.001       2 0.004 2 0.005
HSEh1PBE 2 0.062 2 0.050 2 0.050 2 0.031 2 0.013 2 0.003 2 0.005 2 0.005 2 0.007 2 0.005 2 0.006 1 0.002 2 0.004 2 0.005 2 0.005 1 0.001 2 0.004 2 0.005 1 0.002       2 0.004 2 0.005
TPSSh 2 0.071 2 0.055 2 0.055 2 0.036 2 0.017 2 0.008 2 0.009 2 0.007 2 0.005 2 0.004 2 0.006   2 0.007 2 0.011 2 0.005 2 0.005 2 0.009 2 0.006 2 0.005       2 0.008 2 0.006
wB97X-D 2 0.062 2 0.045 2 0.045 2 0.028 2 0.011 2 0.004 2 0.004 2 0.007 2 0.009 2 0.007 2 0.008   2 0.007 2 0.003 2 0.008 2 0.008 2 0.004 2 0.007 2 0.008       2 0.004 2 0.007
B97D3 2 0.078 2 0.059 2 0.059 2 0.040 2 0.020 2 0.008 2 0.010 2 0.008 2 0.004 2 0.003 2 0.005   2 0.007 2 0.012 2 0.005 2 0.005 2 0.009 2 0.007 2 0.005       2 0.009 2 0.007
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 cc-pCVDZ cc-pCVTZ cc-pCVQZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 2 0.046 2 0.043 2 0.043 2 0.031 2 0.016 2 0.007 2 0.008 2 0.011 2 0.015 2 0.010 2 0.012 1 0.000 2 0.009 2 0.006 2 0.010 2 0.011 2 0.007 2 0.009 2 0.011 1 0.003 1 0.001 1 0.000 2 0.008 2 0.009
MP2=FULL 2 0.046 2 0.043 2 0.043 2 0.031 2 0.016 2 0.007 2 0.008 2 0.011 2 0.015 2 0.010 2 0.013 1 0.001 2 0.009 2 0.007 2 0.011 2 0.012 2 0.007 2 0.010 2 0.012 1 0.003 1 0.001 1 0.000 2 0.008 2 0.011
ROMP2 1 0.028 1 0.043 1 0.043 1 0.031 1 0.015 1 0.009 1 0.007 1 0.016 1 0.021 1 0.014 1 0.018   1 0.012 1 0.009 1 0.014   1 0.007           1 0.008 1 0.013
MP3 1 0.069 1 0.041 1 0.041 1 0.027 2 0.015 1 0.002 2 0.024 1 0.003 1 0.008 1 0.006 1 0.005 1 0.005 1 0.000 1 0.000 1 0.004 1 0.005 1 0.003 1 0.001 1 0.004          
MP3=FULL         2 0.016   2 0.024           1 0.000 1 0.000 1 0.005                  
MP4 1 0.074 2 0.044 1 0.045 1 0.031 2 0.018 1 0.004 1 0.009 1 0.001 2 0.014 1 0.003 1 0.002 1 0.001 1 0.005 1 0.003 2 0.009 1 0.001 1 0.008 1 0.006 1 0.002          
MP4=FULL 1 0.074 1 0.045 1 0.045 1 0.031 1 0.018 1 0.004 1 0.009 1 0.001 1 0.004 1 0.004 1 0.001 1 0.000 1 0.005 1 0.002 1 0.000 1 0.000 1 0.008 1 0.004 1 0.001          
B2PLYP 2 0.057 2 0.049 2 0.049 2 0.032 2 0.015 2 0.004 2 0.006 2 0.006 2 0.009 2 0.006 2 0.007 1 0.003 2 0.005 2 0.004 2 0.005 1 0.002 2 0.005 2 0.005 1 0.003       2 0.005 2 0.006
B2PLYP=FULL 2 0.057 2 0.049 2 0.049 2 0.032 2 0.015 2 0.004 2 0.006 2 0.006 2 0.009 2 0.006 2 0.007   2 0.005 2 0.004 2 0.006   2 0.005 2 0.005         2 0.005 2 0.006
B2PLYP=FULLultrafine 2 0.057 2 0.049 2 0.049 2 0.032 2 0.015 2 0.004 2 0.007 2 0.006 2 0.009 2 0.006 2 0.007   2 0.005 2 0.004 2 0.006   2 0.005 2 0.006         2 0.005 2 0.006
Configuration interaction CID 1 0.077 2 0.041 2 0.041 2 0.028 2 0.014 1 0.001 1 0.004 2 0.014 1 0.009 1 0.007 2 0.016 1 0.007 1 0.001 2 0.008 2 0.014 1 0.007 1 0.001 1 0.003 1 0.006       2 0.008 2 0.012
CISD 1 0.078 2 0.043 2 0.043 2 0.030 2 0.015   1 0.005 2 0.013 1 0.008 1 0.007 2 0.015 1 0.006 1 0.000 2 0.007 2 0.013 1 0.006 1 0.002 1 0.002 1 0.005       2 0.007 2 0.011
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 cc-pCVDZ cc-pCVTZ cc-pCVQZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1 0.078 2 0.045 2 0.045 2 0.032 2 0.017 2 0.006 2 0.007 2 0.011 2 0.015 2 0.010 2 0.013 1 0.002 2 0.008 2 0.006 2 0.010 1 0.002 2 0.006 2 0.009 1 0.001       2 0.006 2 0.009
QCISD(T) 1 0.078 1 0.047 1 0.047 1 0.032 2 0.018 1 0.004 1 0.009 2 0.010 1 0.004 1 0.003 2 0.011 1 0.000 2 0.008 2 0.005 2 0.009 1 0.001 2 0.006 2 0.008 1 0.001       2 0.006 2 0.008
QCISD(T)=FULL         2 0.018   2 0.007       2 0.012     2 0.005 2 0.010 2 0.011 2 0.006 2 0.009 2 0.010       2 0.006 2 0.009
QCISD(TQ)   1 0.047 1 0.047 1 0.032 1 0.019 1 0.004 1 0.008 1 0.001 1 0.004 1 0.003 1 0.000 1 0.001 1 0.004 1 0.003 1 0.000 1 0.001 1 0.007 1 0.004 1 0.000          
QCISD(TQ)=FULL         1 0.019   1 0.008             1 0.003 1 0.001 1 0.002 1 0.007 1 0.002 1 0.000          
Coupled Cluster CCD 1 0.077 2 0.043 2 0.043 2 0.029 2 0.016 2 0.007 2 0.007 2 0.013 2 0.016 2 0.011 2 0.014 1 0.004 2 0.010 2 0.007 2 0.012 1 0.004 2 0.007 2 0.010 1 0.003       2 0.007 2 0.010
CCSD 1 0.078 1 0.045 1 0.045 1 0.031 2 0.017 2 0.006 2 0.006 2 0.011 2 0.015 2 0.010 2 0.013 1 0.003 2 0.009 2 0.006 2 0.011 2 0.012 2 0.006 2 0.009 2 0.011     1 0.003 2 0.006 2 0.010
CCSD=FULL 1 0.078 1 0.045 1 0.045 1 0.031 2 0.017 1 0.003 1 0.007 1 0.000 1 0.005 2 0.011 2 0.014 1 0.004 2 0.009 2 0.006 2 0.012 2 0.013 2 0.006 2 0.010 2 0.013     1 0.004 2 0.006 2 0.011
CCSD(T) 1 0.078 1 0.047 1 0.047 1 0.032 2 0.018 2 0.006 2 0.007 2 0.010 2 0.014 2 0.009 2 0.011 1 0.001 2 0.008 2 0.005 2 0.009 2 0.010 2 0.006 2 0.008 2 0.009 1 0.003 1 0.000 1 0.000 2 0.006 2 0.008
CCSD(T)=FULL 1 0.078 1 0.047 1 0.047 1 0.032 2 0.018 1 0.004 1 0.008 1 0.001 1 0.005 1 0.003 2 0.012 1 0.002 2 0.008 2 0.006 2 0.010 2 0.011 2 0.006 2 0.009 2 0.010 1 0.002 1 0.000 1 0.001 2 0.006 2 0.009
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 cc-pCVDZ cc-pCVTZ cc-pCVQZ 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 2 0.007 2 0.018 2 0.009 2 0.021 2 0.005 2 0.005     2 0.027
ROHF                 1 0.034
density functional LSDA 1 0.044 1 0.027 1 0.040 1 0.023 1 0.040 1 0.040      
BLYP 1 0.045 1 0.028 1 0.040 1 0.024 1 0.045 1 0.045     2 0.015
B1B95 1 0.028 1 0.012 1 0.021 1 0.007 1 0.026 1 0.026     2 0.005
B3LYP 2 0.031 2 0.014 2 0.027 2 0.010 2 0.031 2 0.031     2 0.004
B3LYPultrafine 1 0.033 1 0.018 1 0.028 1 0.014 1 0.032 1 0.032     2 0.004
B3PW91 1 0.029 1 0.014 1 0.025 1 0.010 1 0.029 1 0.029     2 0.004
mPW1PW91 1 0.026 1 0.012 1 0.022 1 0.008 1 0.026 1 0.026     2 0.006
M06-2X 1 0.024 1 0.009 1 0.019 1 0.006 1 0.027 1 0.027     2 0.005
PBEPBE 1 0.041 1 0.024 1 0.035 1 0.020 1 0.041 1 0.041     2 0.011
PBEPBEultrafine 1 0.041 1 0.024 1 0.035 1 0.020 1 0.041 1 0.041     2 0.011
PBE1PBE 1 0.027 1 0.012 1 0.022 1 0.008 1 0.027 1 0.027     2 0.005
HSEh1PBE 1 0.028 1 0.013 1 0.023 1 0.008 1 0.027 1 0.027     2 0.005
TPSSh                 2 0.005
wB97X-D 2 0.021 2 0.008 2 0.018 2 0.007 2 0.022 2 0.022     2 0.008
B97D3                 2 0.005
Moller Plesset perturbation MP2 2 0.026 2 0.014 2 0.022 2 0.011 2 0.027 2 0.027     2 0.010
MP2=FULL 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033     2 0.010
ROMP2                 1 0.014
MP3 1 0.031 1 0.017 1 0.025 1 0.012 1 0.029 1 0.029      
MP4 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033      
MP4=FULL 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033      
B2PLYP 1 0.031 1 0.017 1 0.026 1 0.013 1 0.030 1 0.030     2 0.005
B2PLYP=FULL                 2 0.005
B2PLYP=FULLultrafine                 2 0.005
Configuration interaction CID 1 0.031 1 0.015 1 0.025 1 0.011 1 0.029 1 0.028     2 0.014
CISD 1 0.032 1 0.016 1 0.026 1 0.011 1 0.030 1 0.030     2 0.013
Quadratic configuration interaction QCISD 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033     2 0.010
QCISD(T) 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033     2 0.009
QCISD(T)=FULL                 2 0.009
QCISD(TQ) 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033      
Coupled Cluster CCD 1 0.033 1 0.018 1 0.027 1 0.013 1 0.031 1 0.031     2 0.012
CCSD 1 0.034 1 0.019 1 0.028 1 0.014 1 0.032 1 0.032     2 0.010
CCSD=FULL 1 0.034 1 0.019 1 0.028 1 0.014 1 0.032 1 0.032     2 0.011
CCSD(T) 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033     2 0.009
CCSD(T)=FULL 1 0.034 1 0.019 1 0.029 1 0.015 1 0.033 1 0.033     2 0.009
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.