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Comparison of experiment and theory for rNN

18 10 23 14 56
Species with coordinate rNN
Species Name
CH2N2 diazirine
C3H4N2 1H-Pyrazole
C2H3N3 1H-1,2,4-Triazole
C2H2N2S 1,3,4-Thiadiazole
C4H4N2 Pyridazine
N2H4 Hydrazine
CH2NN diazomethane
C2H6N2O2 Dimethylnitroamine
N2 Nitrogen diatomic
HN3 hydrogen azide
N2O Nitrous oxide
N2O4 Dinitrogen tetroxide
N2O3 Dinitrogen trioxide
N3 azide radical
N2F2 (Z)-Difluorodiazene
N2H2 (E)-diazene
ONNO NO dimer
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 8 0.040
PM3 9 0.023
PM6 14 0.099
composite G2 8 0.077
G3 8 0.077
G3B3 12 0.004
G3MP2 7 0.081
G4 12 0.063
CBS-Q 7 0.034

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 aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 14 0.092 14 0.067 14 0.067 14 0.078 14 0.097 14 0.097 7 0.078 14 0.095 14 0.095 14 0.098 13 0.098 1 0.031 14 0.090 14 0.091 14 0.094 8 0.077 14 0.092 13 0.217 8 0.077 5 0.032 5 0.041 1 0.032 1 0.047 2 0.030 5 0.091 15 0.206
ROHF 1 0.035 4 0.022 4 0.022 3 0.014 4 0.032 4 0.032 4 0.032 4 0.038 3 0.036 1 0.037 3 0.040   3 0.039 4 0.032 4 0.041 3 0.041 3 0.030 3 0.040 3 0.041     1 0.032     2 0.030 2 0.040
density functional LSDA 9 0.112 9 0.023 9 0.023 9 0.019 10 0.015 9 0.015 9 0.014 10 0.016 9 0.006 9 0.015 4 0.023 1 0.003 5 0.024 9 0.012 9 0.011 1 0.004 9 0.016 5 0.022 1 0.004 1 0.010 1 0.003 1 0.004 1 0.000   1 0.011 1 0.003
BLYP 14 0.158 14 0.062 13 0.058 14 0.064 14 0.045 14 0.054 14 0.057 13 0.058 14 0.057 14 0.051 7 0.060 1 0.005 8 0.059 13 0.050 14 0.054 1 0.005 12 0.211 8 0.056 1 0.004 1 0.019 1 0.005 1 0.004 1 0.010   5 0.073 5 0.071
B1B95 14 0.100 14 0.021 14 0.021 14 0.021 14 0.022 14 0.016 14 0.015 14 0.013 14 0.014 14 0.019 7 0.016 1 0.010 7 0.018 14 0.013 14 0.022 1 0.011 14 0.021 11 0.022 1 0.011 1 0.001 1 0.010 1 0.011 1 0.012   4 0.004 4 0.013
B3LYP 13 0.206 13 0.027 14 0.027 14 0.026 14 0.005 14 0.006 14 0.008 14 0.008 11 0.009 14 0.005 11 0.222 1 0.007 14 0.022 14 0.006 14 0.009 8 0.012 12 0.007 14 0.015 8 0.013 4 0.006 4 0.010 1 0.008 1 0.008 2 0.009 5 0.007 5 0.012
B3LYPultrafine 1 0.083 8 0.021 1 0.015 1 0.021 14 0.006 8 0.006 10 0.009 8 0.009 1 0.002 5 0.003 7 0.011 1 0.007 8 0.014 8 0.006 12 0.009 1 0.007 8 0.008 14 0.050 1 0.008       1 0.008   5 0.007 5 0.012
B3PW91 11 0.092 14 0.024 14 0.024 14 0.023 14 0.013 14 0.013 13 0.012 14 0.010 11 0.011 14 0.015 7 0.013 1 0.007 8 0.013 14 0.010 14 0.014 1 0.008 12 0.209 8 0.011 1 0.008 1 0.005 1 0.007 1 0.008 1 0.008   5 0.008 5 0.009
mPW1PW91 11 0.086 14 0.023 11 0.023 14 0.022 14 0.024 14 0.024 14 0.022 14 0.019 14 0.019 14 0.026 7 0.020 1 0.009 8 0.017 14 0.019 12 0.023 1 0.010 12 0.210 8 0.019 1 0.010 1 0.002 1 0.009 1 0.010 1 0.011   5 0.018 5 0.018
M06-2X 7 0.065 7 0.016 14 0.039 7 0.022 14 0.049 7 0.010 7 0.012 7 0.014 7 0.014 8 0.014 13 0.828 1 0.012 7 0.017 7 0.010 8 0.016 1 0.012 7 0.011 8 0.016 1 0.012 1 0.001 1 0.012 1 0.012 1 0.018   4 0.006 4 0.015
PBEPBE 11 0.125 14 0.048 11 0.045 11 0.054 14 0.037 14 0.037 14 0.039 14 0.032 14 0.032 14 0.034 12 0.211 1 0.005 8 0.043 13 0.031 14 0.035 1 0.005 8 0.043 9 0.038 1 0.005 1 0.017 1 0.005 1 0.005 1 0.009 2 0.020 5 0.053 5 0.051
PBEPBEultrafine 1 0.098 8 0.040 1 0.030 1 0.033 14 0.037 8 0.040 8 0.044 8 0.029 1 0.010 5 0.047 7 0.042 1 0.005 8 0.043 8 0.027 8 0.039 1 0.005 8 0.043 8 0.040 1 0.005       1 0.009   5 0.053 5 0.051
PBE1PBE 7 0.092 7 0.017 7 0.017 7 0.026 14 0.026 7 0.012 7 0.013 7 0.014 7 0.014 7 0.012 6 0.016 1 0.008 7 0.017 7 0.012 7 0.016 1 0.009 7 0.012 7 0.017 1 0.009 1 0.003 1 0.008 1 0.009 1 0.010   4 0.005 4 0.012
HSEh1PBE 8 0.090 14 0.028 8 0.018 8 0.025 13 0.024 8 0.020 14 0.027 8 0.017 8 0.017 8 0.021 7 0.020 1 0.008 8 0.017 8 0.017 14 0.028 1 0.009 8 0.017 8 0.019 1 0.009 1 0.003 1 0.009 1 0.009 1 0.011   5 0.017 5 0.017
TPSSh 7 0.117 8 0.032 8 0.032 8 0.033 14 0.016 8 0.012 14 0.017 8 0.015 7 0.016 14 0.014 7 0.015   8 0.020 8 0.014 14 0.016 7 0.015 8 0.016 8 0.017 7 0.017 1 0.009 1 0.003 1 0.003 1 0.002   5 0.019 5 0.020
wB97X-D 7 0.074 7 0.018 14 0.024 7 0.025 14 0.028 7 0.027 14 0.025 7 0.023 14 0.025 7 0.028 7 0.026   14 0.024 14 0.025 14 0.026 7 0.026 7 0.024 14 0.026 6 0.027 1 0.002 1 0.010 1 0.011 1 0.013   5 0.028 5 0.026
B97D3 7 0.144 14 0.043 7 0.047 7 0.061 14 0.032 7 0.042 14 0.037 7 0.044 14 0.034 7 0.049 14 0.039   14 0.047 7 0.043 14 0.038 7 0.052 7 0.047 14 0.047 7 0.053 1 0.014 1 0.001 1 0.001 1 0.004   5 0.055 14 0.799
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 aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 10 0.146 14 0.087 14 0.087 14 0.098 14 0.024 14 0.031 14 0.036 14 0.020 14 0.022 14 0.018 6 0.016 1 0.015 14 0.030 14 0.030 11 0.013 7 0.013 10 0.032 11 0.016 6 0.014 6 0.025 6 0.013 1 0.012 1 0.026 2 0.038 4 0.033 3 0.012
MP2=FULL 10 0.144 11 0.091 10 0.094 10 0.098 14 0.024 12 0.030 12 0.030 14 0.021 10 0.021 11 0.018 6 0.016 1 0.013 7 0.015 11 0.030 11 0.016 7 0.013 8 0.025 9 0.013 6 0.014 6 0.025 6 0.012 1 0.010 1 0.023 2 0.037 4 0.032 4 0.013
ROMP2 3 0.140 2 0.051 2 0.051 3 0.055 3 0.026 3 0.026 3 0.026 3 0.019 3 0.019 3 0.016 3 0.012   3 0.015 3 0.026 3 0.013   3 0.028               2 0.028 2 0.015
MP3 1 0.078 1 0.011 1 0.011 1 0.017 13 0.047 1 0.008 13 0.037 1 0.003 1 0.003 1 0.002 5 0.053 1 0.008 6 0.038 6 0.036 6 0.047 1 0.011 1 0.009 1 0.008 1 0.011 1 0.006 1 0.009 1 0.011 1 0.018   2 0.064 2 0.076
MP3=FULL   4 0.024 4 0.024 4 0.014 13 0.026 4 0.007 13 0.023 4 0.012 4 0.011 4 0.012 3 0.020   5 0.014 5 0.005 5 0.018   4 0.005 4 0.019   1 0.006 1 0.011 1 0.013 1 0.020   1 0.008 1 0.011
MP4 3 0.090 8 0.068 1 0.043 1 0.049 10 0.077 1 0.031 1 0.031 2 0.015 9 0.067 5 0.055 4 0.017 1 0.015 5 0.018 5 0.025 7 0.042 1 0.012 5 0.027 5 0.015 1 0.013 1 0.029 1 0.014 1 0.012     1 0.032 1 0.016
MP4=FULL 1 0.093 5 0.066 1 0.043 1 0.049 5 0.025 1 0.030 1 0.030 1 0.021 5 0.020 1 0.018 4 0.016 1 0.014 1 0.017 5 0.025 5 0.013 1 0.010 5 0.026 5 0.013 1 0.010 1 0.028 1 0.013 1 0.011     1 0.031 1 0.012
B2PLYP 7 0.112 7 0.036 7 0.036 7 0.033 13 0.015 7 0.013 7 0.013 7 0.008 7 0.007 8 0.009 6 0.006 1 0.002 7 0.007 7 0.012 14 0.014 1 0.000 7 0.012 10 0.005 1 0.000 1 0.015 1 0.001 1 0.000 1 0.005   4 0.015 3 0.002
B2PLYP=FULL 8 0.116 8 0.029 8 0.035 8 0.043 8 0.014 8 0.012 8 0.016 8 0.009 8 0.008 8 0.007 7 0.008   8 0.013 8 0.012 8 0.007   8 0.014 8 0.009   1 0.014 1 0.000 1 0.001 1 0.004   5 0.016 5 0.006
B2PLYP=FULLultrafine 7 0.120 7 0.034 7 0.034 7 0.045 16 0.744 7 0.013 7 0.017 7 0.009 7 0.009 7 0.007 7 0.008   7 0.013 15 0.774 15 0.764   7 0.015 15 0.765         3 0.003   5 0.016 5 0.006
Configuration interaction CID 3 0.074 11 0.050 9 0.039 9 0.029 13 0.072 1 0.006 1 0.006 9 0.053 3 0.014 5 0.105 7 0.065 1 0.011 1 0.008 5 0.063 5 0.074 1 0.014 1 0.007 1 0.010 1 0.014 1 0.005 1 0.012 1 0.014 1 0.024   5 0.067 5 0.074
CISD 3 0.077 11 0.051 8 0.029 8 0.020 13 0.072   1 0.008 8 0.013 3 0.012 5 0.104 7 0.065 1 0.009 1 0.007 4 0.006 4 0.017 1 0.012 1 0.008 1 0.009 1 0.012 1 0.006 1 0.010 1 0.012 1 0.023   4 0.007 5 0.073
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 aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 4 0.103 13 0.046 9 0.045 11 0.031 13 0.040 11 0.043 11 0.036 12 0.043 11 0.044 11 0.053 6 0.043   8 0.027 11 0.035 11 0.050   8 0.029 9 0.034   1 0.015 1 0.001 1 0.004 1 0.008   5 0.037 4 0.005
QCISD(T) 1 0.092 1 0.030 1 0.030 1 0.036 11 0.020 2 0.018 2 0.018 8 0.013 4 0.013 2 0.009 7 0.015 1 0.006 8 0.006 8 0.016 8 0.014 1 0.003 8 0.018 8 0.011 1 0.003       1 0.004   5 0.019 5 0.015
QCISD(T)=FULL         7 0.017   7 0.016       5 0.005     7 0.017 7 0.004 7 0.005 7 0.018 7 0.004 7 0.005       1 0.002   4 0.021 4 0.002
QCISD(TQ) 1 0.096 1 0.029 1 0.029 1 0.036 4 0.018 1 0.022 4 0.017 1 0.011 1 0.011 1 0.012 3 0.003 1 0.005 1 0.007 4 0.017 4 0.003 2 0.002 4 0.019 3 0.004 1 0.002              
QCISD(TQ)=FULL         3 0.015   3 0.014       1 0.001     3 0.015 3 0.002 1 0.004 3 0.017 3 0.004                
Coupled Cluster CCD 4 0.100 11 0.041 9 0.039 11 0.024 13 0.036 11 0.049 11 0.043 11 0.052 10 0.055 10 0.062 6 0.047   8 0.030 11 0.041 10 0.059   8 0.030 8 0.038   5 0.006 5 0.012 1 0.007 1 0.012   5 0.039 4 0.009
CCSD         10 0.049 5 0.044 5 0.036 6 0.041 6 0.041 9 0.040 6 0.046   8 0.029 8 0.030 9 0.036 8 0.042 8 0.031 9 0.035 6 0.010 1 0.014 1 0.003 1 0.005 1 0.010   5 0.039 4 0.006
CCSD=FULL         8 0.011         8 0.010 5 0.012   7 0.007 7 0.008 8 0.012 7 0.014 7 0.009 8 0.013 6 0.013 1 0.014 1 0.004 1 0.007 1 0.012   4 0.011 4 0.010
CCSD(T) 1 0.092 1 0.029 1 0.029 1 0.036 12 0.020 8 0.017 8 0.016 8 0.013 10 0.013 8 0.021 7 0.016 1 0.006 8 0.005 10 0.016 12 0.014 8 0.017 10 0.018 10 0.011 6 0.004 5 0.016 5 0.002   1 0.003   5 0.019 4 0.005
CCSD(T)=FULL 1 0.092 1 0.029 1 0.029 1 0.036 8 0.018 1 0.021 1 0.021 1 0.011 1 0.011 1 0.010 7 0.017 1 0.004 7 0.005 7 0.016 6 0.004 8 0.019 7 0.016 8 0.016 6 0.006 6 0.016 6 0.002 1 0.000 1 0.001   4 0.020 4 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 cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ 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 14 0.093 14 0.093 14 0.091 14 0.092 14 0.084 14 0.084     14 0.072
ROHF                 2 0.040
density functional LSDA 1 0.063 1 0.046 1 0.051 1 0.024 1 0.040 1 0.040     1 0.001
BLYP 1 0.065 1 0.046 1 0.054 1 0.024 1 0.051 1 0.051     5 0.070
B1B95 11 0.040 11 0.029 1 0.033 1 0.008 1 0.029 1 0.029     4 0.013
B3LYP 14 0.044 14 0.024 14 0.037 14 0.012 14 0.031 13 0.032     14 0.015
B3LYPultrafine 1 0.051 1 0.034 1 0.040 1 0.012 1 0.036 1 0.036     5 0.012
B3PW91 1 0.049 1 0.033 1 0.037 1 0.011 1 0.033 1 0.033     5 0.009
mPW1PW91 1 0.046 1 0.030 1 0.034 1 0.008 1 0.030 1 0.030     5 0.018
M06-2X 1 0.040 1 0.026 1 0.027 1 0.002 1 0.026 1 0.026     4 0.016
PBEPBE 1 0.063 1 0.045 1 0.051 1 0.024 1 0.048 1 0.048     14 0.033
PBEPBEultrafine 1 0.063 1 0.045 1 0.051 1 0.024 1 0.048 1 0.048     5 0.050
PBE1PBE 1 0.046 1 0.031 1 0.035 1 0.009 1 0.031 1 0.031     4 0.012
HSEh1PBE 1 0.047 1 0.031 1 0.036 1 0.010 1 0.031 1 0.031     5 0.017
TPSSh                 5 0.019
wB97X-D 7 0.043 7 0.032 7 0.034 7 0.025 7 0.030 7 0.030     5 0.026
B97D3                 5 0.063
Moller Plesset perturbation MP2 14 0.151 14 0.044 14 0.139 14 0.037 14 0.125 14 0.125     14 0.018
MP2=FULL 1 0.098 1 0.062 1 0.084 1 0.040 1 0.078 1 0.078     4 0.015
ROMP2                 2 0.013
MP3 1 0.052 1 0.036 1 0.036 1 0.013 1 0.031 1 0.031     2 0.075
MP3=FULL                 1 0.019
MP4 1 0.085 1 0.057 1 0.074 1 0.037 1 0.067 1 0.067     1 0.028
MP4=FULL 1 0.085 1 0.057 1 0.074 1 0.037 1 0.067 1 0.067     1 0.027
B2PLYP 1 0.066 1 0.043 1 0.054 1 0.021 1 0.049 1 0.049     4 0.003
B2PLYP=FULL                 5 0.007
B2PLYP=FULLultrafine                 5 0.007
Configuration interaction CID 1 0.055 1 0.034 1 0.040 1 0.011 1 0.035 1 0.035     4 0.081
CISD 1 0.056 1 0.035 1 0.042 1 0.013 1 0.037 1 0.037     3 0.020
Quadratic configuration interaction QCISD                 4 0.048
QCISD(T) 1 0.072 1 0.050 1 0.058 1 0.028 1 0.052 1 0.052     4 0.015
QCISD(T)=FULL                 3 0.004
QCISD(TQ) 1 0.072 1 0.050 1 0.058 1 0.028 1 0.053 1 0.052     1 0.001
Coupled Cluster CCD                 4 0.051
CCSD                 4 0.050
CCSD=FULL                 3 0.009
CCSD(T) 1 0.072 1 0.050 1 0.058 1 0.028 1 0.052 1 0.052     4 0.015
CCSD(T)=FULL 1 0.072 1 0.050 1 0.058 1 0.028 1 0.052 1 0.052     3 0.003
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.