National Institute of Standards and Technology
Computational Chemistry Comparison and Benchmark DataBase
Release 22May 2022
NIST Standard Reference Database 101
IIntroduction
IIExperimental data
IIICalculated data
IVData comparisons
VCost comparisons
VIInput and output files
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VIIILinks to other sites
IXFeedback
XOlder CCCBDB versions
XIIGeometries
XIII Vibrations
XIVReaction data
XVEntropy data
XVIBibliographic data
XVIIIon data
XVIIIBad calculations
XIXIndex of properties
XXH-bond dimers
XXIOddities

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IV.D.4. (XII.A.2.)

Comparison of experiment and theory for rAlF

Species with coordinate rAlF
Species Name
AlF3 Aluminum trifluoride
AlF Aluminum monofluoride
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 4 0.065
PM3 9 0.055
PM6 4 0.013
composite G2 8 0.008
G3 8 0.008
G3B3 5 0.011
G3MP2 1 0.006
G4 4 0.001
CBS-Q 8 0.006

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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 8 0.033 8 0.004 8 0.014 8 0.040 12 0.008 8 0.009 8 0.007 8 0.006 8 0.006 8 0.015 8 0.013 3 0.015 5 0.008 8 0.029 8 0.009 5 0.015 8 0.009 8 0.011 5 0.016 3 0.001 7 0.019 1 0.010 4 0.027 4 0.016 1 0.017 5 0.011
density functional LSDA 4 0.007 4 0.019 4 0.007 4 0.055 4 0.004 4 0.004 4 0.020 4 0.017 4 0.017 4 0.007 3 0.001 3 0.001 3 0.011 4 0.040 4 0.011 3 0.002 4 0.028 3 0.004 3 0.003 3 0.008 3 0.006 1 0.008 3 0.035 3 0.002    
BLYP 8 0.012 8 0.038 8 0.013 8 0.076 12 0.024 8 0.025 8 0.045 8 0.041 8 0.041 8 0.015 4 0.031 3 0.026 4 0.043 8 0.060 8 0.036 3 0.024 8 0.053 4 0.036 3 0.024 3 0.031 3 0.020 1 0.040 3 0.056 3 0.023 1 0.068 1 0.048
B1B95 8 0.008 1 0.005 8 0.003 8 0.054 8 0.006 8 0.007 8 0.022 8 0.020 8 0.020 8 0.002 4 0.009 3 0.003 4 0.019 8 0.041 8 0.013 3 0.000 8 0.027 2 0.017 3 0.000 3 0.013 3 0.002 1 0.013 3 0.037 3 0.001 1 0.042 1 0.021
B3LYP 8 0.007 8 0.022 8 0.001 8 0.060 8 0.010 8 0.010 8 0.028 8 0.025 4 0.025 8 0.003 8 0.014 3 0.009 5 0.028 8 0.046 8 0.019 5 0.013 8 0.034 8 0.018 5 0.014 3 0.017 7 0.006 1 0.020 4 0.044 3 0.006 1 0.048 1 0.029
B3LYPultrafine 3 0.001 4 0.022 3 0.001 3 0.054 8 0.010 4 0.010 4 0.028 4 0.025 3 0.021 4 0.003 4 0.015 3 0.009 4 0.025 4 0.046 4 0.019 3 0.007 4 0.034 5 0.018 3 0.007 3 0.017 3 0.003 1 0.020 3 0.042 3 0.006 1 0.048 1 0.029
B3PW91 4 0.008 8 0.024 8 0.002 8 0.061 8 0.010 8 0.010 8 0.025 8 0.024 4 0.024 8 0.003 4 0.012 3 0.007 4 0.023 8 0.047 8 0.017 3 0.005 8 0.032 5 0.015 3 0.005 3 0.018 3 0.002 1 0.016 3 0.043 3 0.005 1 0.045 1 0.025
mPW1PW91 4 0.011 8 0.020 7 0.002 8 0.057 8 0.007 8 0.007 8 0.022 8 0.020 8 0.020 8 0.003 4 0.009 3 0.004 4 0.019 8 0.044 8 0.013 3 0.001 8 0.029 4 0.012 3 0.001 3 0.015 3 0.002 1 0.012 3 0.040 3 0.001 1 0.041 1 0.021
M06-2X 4 0.015 4 0.010 8 0.009 4 0.048 5 0.003 4 0.002 4 0.015 4 0.015 4 0.015 5 0.005 7 0.005 3 0.002 4 0.014 4 0.038 5 0.008 3 0.004 4 0.022 5 0.008 3 0.004 3 0.010 3 0.007 1 0.008 3 0.033 3 0.004 1 0.033 1 0.015
PBEPBE 4 0.004 8 0.037 1 0.011 1 0.091 8 0.021 8 0.021 8 0.038 8 0.034 8 0.038 8 0.015 12 0.027 3 0.022 4 0.038 8 0.059 8 0.029 3 0.020 1 0.064 5 0.034 3 0.020 3 0.031 4 0.019 1 0.033 3 0.055 3 0.019 1 0.063 1 0.042
PBEPBEultrafine 3 0.015 4 0.038 3 0.013 3 0.069 8 0.021 4 0.023 4 0.041 4 0.038 3 0.034 4 0.015 4 0.027 3 0.022 4 0.038 4 0.059 4 0.032 3 0.020 4 0.049 4 0.031 3 0.020 3 0.031 3 0.016 1 0.033 3 0.055 3 0.019 1 0.063 1 0.042
PBE1PBE 4 0.009 1 0.004 4 0.002 4 0.057 5 0.008 4 0.007 4 0.022 4 0.021 4 0.021 4 0.002 4 0.009 3 0.004 4 0.020 4 0.044 4 0.014 3 0.002 4 0.029 4 0.012 3 0.002 3 0.016 3 0.002 1 0.012 3 0.040 3 0.001 1 0.041 1 0.021
HSEh1PBE 4 0.009 8 0.020 4 0.002 4 0.057 5 0.008 4 0.007 8 0.023 4 0.021 4 0.021 4 0.002 4 0.010 3 0.004 4 0.020 4 0.044 8 0.014 3 0.002 4 0.029 4 0.013 3 0.002 3 0.015 3 0.001 1 0.013 3 0.040 3 0.002 1 0.042 1 0.022
TPSSh 1 0.009 1 0.037 1 0.003 1 0.079 5 0.013 1 0.017 5 0.027 1 0.035 1 0.035 5 0.007 1 0.025   1 0.038 1 0.056 5 0.019 1 0.018 1 0.049 1 0.029 1 0.019     1 0.020     1 0.049 1 0.028
wB97X-D 1 0.017 1 0.027 5 0.003 1 0.070 5 0.008 1 0.010 5 0.022 1 0.029 5 0.020 1 0.003 1 0.018   5 0.019 5 0.027 5 0.014 1 0.011 1 0.041 5 0.013 1 0.012     1 0.013     1 0.041 1 0.021
B97D3 1 0.005 5 0.039 1 0.014 1 0.092 5 0.023 1 0.028 5 0.041 1 0.048 5 0.037 1 0.019 5 0.028   5 0.041 1 0.067 5 0.032 1 0.031 1 0.063 5 0.033 1 0.032     1 0.033     1 0.063 4 0.030
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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 4 0.026 8 0.017 8 0.003 8 0.063 13 0.014 8 0.015 11 0.031 12 0.020 8 0.021 9 0.006 4 0.017 3 0.013 5 0.028 8 0.051 9 0.019 5 0.013 8 0.040 6 0.022 5 0.014 3 0.025 7 0.008 1 0.021 4 0.049 4 0.012 1 0.052 1 0.029
MP2=FULL 4 0.023 8 0.017 7 0.003 4 0.064 9 0.014 8 0.015 8 0.032 8 0.021 4 0.021 5 0.004 4 0.014 3 0.009 4 0.026 8 0.052 5 0.017 5 0.005 5 0.042 8 0.013 4 0.008 3 0.024 7 0.004 1 0.017 4 0.049 4 0.008 1 0.049 1 0.018
MP3 3 0.013 3 0.009 3 0.003 3 0.051 8 0.008 3 0.007 4 0.015 3 0.010 3 0.010 3 0.002 3 0.001 3 0.001 3 0.009 3 0.041 3 0.005 3 0.003 3 0.024 3 0.004 3 0.003 3 0.017 3 0.005 1 0.007 3 0.039 3 0.003    
MP3=FULL         4 0.007   4 0.017                             1 0.003        
MP4 3 0.009 3 0.016 3 0.004 3 0.060 8 0.016 3 0.015 3 0.030 5 0.024 3 0.020 3 0.008 3 0.015 3 0.015 3 0.022 3 0.052 4 0.020 3 0.010 3 0.037 3 0.018 3 0.011 3 0.027 3 0.007 1 0.024 3 0.050 3 0.009    
MP4=FULL 3 0.008 3 0.017 3 0.004 3 0.061 3 0.016 3 0.016 3 0.028 3 0.019 3 0.019 3 0.004 3 0.010 3 0.010 3 0.022 3 0.052 3 0.015 3 0.006 3 0.037 3 0.011 3 0.007 3 0.027 3 0.002 1 0.020 3 0.050 3 0.004    
B2PLYP 1 0.022 1 0.026 1 0.005 1 0.074 5 0.009 1 0.012 1 0.041 1 0.030 1 0.030 2 0.004 1 0.023   1 0.035 1 0.052 2 0.021   1 0.048 2 0.022       1 0.019     1 0.048 1 0.027
B2PLYP=FULL 1 0.022 1 0.026 1 0.005 1 0.074 1 0.013 1 0.013 1 0.041 1 0.030 1 0.030 1 0.004 1 0.023   1 0.035 1 0.053 1 0.025   1 0.047 1 0.025       1 0.018     1 0.047 1 0.024
B2PLYP=FULLultrafine 1 0.022 1 0.026 1 0.005 1 0.074 7 0.010 1 0.013 1 0.041 1 0.030 1 0.030 1 0.004 1 0.023   1 0.035 4 0.046 4 0.017   1 0.047 4 0.015       1 0.018     1 0.047 1 0.024
Configuration interaction CID 3 0.013 4 0.011 4 0.006 4 0.055 8 0.005 3 0.003 3 0.013 5 0.013 3 0.006 3 0.007 4 0.007 3 0.005 3 0.005 4 0.040 4 0.006 3 0.009 3 0.018 3 0.002 3 0.009 3 0.012 3 0.011 1 0.006 3 0.035 3 0.008 1 0.038 1 0.014
CISD 3 0.011 4 0.013 4 0.005 4 0.056 8 0.006 3 0.004 3 0.013 4 0.012 3 0.007 3 0.007 4 0.007 3 0.004 3 0.006 4 0.041 4 0.007 3 0.008 3 0.018 3 0.001 3 0.008 3 0.013 3 0.010 1 0.007 3 0.036 3 0.008 1 0.040 1 0.015
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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 3 0.008 8 0.017 4 0.002 4 0.063 9 0.013 1 0.016 2 0.042 8 0.018 5 0.020 5 0.003 4 0.012 3 0.007 4 0.021 5 0.051 6 0.015 3 0.002 4 0.035 5 0.014 3 0.002 3 0.022 5 0.005 1 0.015 3 0.045 3 0.002 1 0.048 1 0.022
QCISD(T) 3 0.007 3 0.015 3 0.002 3 0.058 5 0.014 3 0.013 3 0.025 5 0.021 3 0.017 3 0.005 4 0.015 3 0.010 4 0.023 4 0.051 4 0.016 3 0.006 4 0.038 4 0.018 3 0.006 3 0.024 3 0.003 1 0.018 3 0.047 3 0.005 1 0.050 1 0.026
QCISD(T)=FULL         1 0.017   1 0.042       1 0.021     1 0.057 1 0.022 1 0.001 1 0.049 1 0.020 1 0.014     1 0.014     1 0.048 1 0.015
QCISD(TQ) 3 0.008       3 0.012       3 0.016 3 0.003 3 0.008 3 0.008     3 0.011   3 0.031 3 0.012   3 0.023 3 0.001   3 0.046 3 0.004    
Coupled Cluster CCD 3 0.012 4 0.013 4 0.005 4 0.059 9 0.009 4 0.010 4 0.025 5 0.016 4 0.015 4 0.001 4 0.009 3 0.004 4 0.017 5 0.047 4 0.011 3 0.000 4 0.031 4 0.011 3 0.000 3 0.019 3 0.003 1 0.011 5 0.045 5 0.005 1 0.043 1 0.018
CCSD 3 0.010 3 0.012 3 0.000 3 0.055 9 0.011 4 0.011 4 0.027 5 0.019 4 0.017 5 0.002 4 0.010 3 0.006 4 0.019 4 0.048 5 0.012 4 0.004 4 0.033 5 0.012 4 0.005 3 0.021 3 0.001 1 0.012 3 0.044 3 0.001 1 0.045 1 0.020
CCSD=FULL 3 0.009 3 0.013 3 0.000 3 0.056 5 0.011 3 0.011 3 0.021 3 0.013 3 0.013 5 0.002 4 0.008 3 0.002 4 0.019 4 0.048 5 0.010 4 0.012 4 0.033 5 0.007 4 0.016 3 0.020 3 0.005 1 0.008 3 0.043 3 0.003 1 0.042 1 0.010
CCSD(T) 3 0.008 4 0.018 3 0.002 3 0.057 8 0.013 5 0.014 5 0.033 5 0.021 5 0.021 4 0.005 5 0.016 3 0.010 4 0.022 4 0.050 5 0.017 4 0.008 4 0.037 4 0.017 4 0.009 3 0.024 4 0.006 1 0.017 5 0.050 5 0.009 1 0.049 1 0.025
CCSD(T)=FULL 3 0.007 3 0.015 3 0.002 3 0.058 5 0.014 3 0.013 3 0.023 3 0.016 3 0.016 3 0.000 4 0.011 3 0.006 4 0.022 5 0.052 5 0.015 4 0.008 4 0.036 4 0.011 1 0.015 3 0.023 3 0.002 1 0.013 5 0.050 5 0.007 1 0.047 1 0.014
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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ 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 8 0.064 8 0.010 8 0.054 8 0.007 8 0.049 8 0.046     5 0.014
density functional LSDA 3 0.079 3 0.033 3 0.078 3 0.033 3 0.064 3 0.049      
BLYP 3 0.080 3 0.034 3 0.080 3 0.034 3 0.071 3 0.073     1 0.035
B1B95 7 0.066 4 0.024 3 0.061 3 0.016 3 0.054 3 0.051     1 0.010
B3LYP 8 0.080 8 0.027 8 0.077 8 0.026 8 0.066 8 0.063     5 0.009
B3LYPultrafine 3 0.068 3 0.022 3 0.066 3 0.021 3 0.058 3 0.057     1 0.017
B3PW91 3 0.067 3 0.021 3 0.066 3 0.020 3 0.058 3 0.056     1 0.013
mPW1PW91 3 0.064 3 0.018 3 0.062 3 0.017 3 0.056 3 0.053     1 0.009
M06-2X 3 0.053 3 0.010 3 0.050 3 0.008 3 0.052 3 0.044     1 0.004
PBEPBE 3 0.080 3 0.033 3 0.079 3 0.032 3 0.072 3 0.071     5 0.019
PBEPBEultrafine 3 0.080 3 0.033 3 0.079 3 0.032 3 0.072 3 0.071     1 0.030
PBE1PBE 3 0.065 3 0.019 3 0.063 3 0.017 3 0.057 3 0.054     1 0.009
HSEh1PBE 3 0.065 3 0.020 3 0.063 3 0.018 3 0.057 3 0.054     1 0.010
TPSSh                 1 0.017
wB97X-D 1 0.106 1 0.034 1 0.098 1 0.034 1 0.080 1 0.073     1 0.010
B97D3                 1 0.029
Moller Plesset perturbation MP2 8 0.096 8 0.037 8 0.087 8 0.034 8 0.078 8 0.074     5 0.009
MP2=FULL 3 0.082 3 0.033 3 0.076 3 0.029 3 0.070 3 0.069     1 0.012
MP3 3 0.075 3 0.023 3 0.067 3 0.019 3 0.062 3 0.060      
MP4 3 0.085 3 0.033 3 0.080 3 0.030 3 0.072 3 0.070      
MP4=FULL 3 0.085 3 0.033 3 0.080 3 0.030 3 0.072 3 0.071      
B2PLYP                 1 0.014
B2PLYP=FULL                 1 0.013
B2PLYP=FULLultrafine                 1 0.013
Configuration interaction CID 3 0.070 3 0.018 3 0.063 3 0.013 3 0.058 3 0.056     1 0.000
CISD 3 0.071 3 0.018 3 0.064 3 0.014 3 0.059 3 0.057     1 0.002
Quadratic configuration interaction QCISD 3 0.081 3 0.029 3 0.075 3 0.025 3 0.069 3 0.066     1 0.008
QCISD(T) 3 0.082 3 0.030 3 0.076 3 0.026 3 0.069 3 0.066     1 0.011
QCISD(T)=FULL                 1 0.009
QCISD(TQ) 3 0.080 3 0.028 3 0.074 3 0.024 3 0.068 3 0.065      
Coupled Cluster CCD 3 0.077 3 0.026 3 0.070 3 0.021 3 0.065 3 0.062     1 0.005
CCSD 3 0.079 3 0.027 3 0.072 3 0.023 3 0.067 3 0.064     1 0.006
CCSD=FULL 3 0.079 3 0.027 3 0.072 3 0.023 3 0.067 3 0.065     1 0.004
CCSD(T) 3 0.081 3 0.029 3 0.075 3 0.026 3 0.068 3 0.066     1 0.010
CCSD(T)=FULL 3 0.081 3 0.029 3 0.075 3 0.026 3 0.068 3 0.067     1 0.008
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.