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Comparison of experiment and theory for aHCH

18 10 24 13 42
Species with coordinate aHCH
Species Name
CH3SeH Methane selenol
H2CO- formaldehyde anion
H2CO Formaldehyde
H2CO+ formaldehyde cation
C4H10O Ethoxy ethane
CH3OH- Methyl alcohol anion
CH3OH Methyl alcohol
CH3OH+ Methyl alcohol cation
CH3COCH3- acetone anion
CH3COCH3 Acetone
CH3SOCH3 Dimethyl sulfoxide
CH3CCl3 Ethane, 1,1,1-trichloro-
CH4- Methane anion
CH4 Methane
CH4+ Methane cation
CH3Br methyl bromide
C2H6 Ethane
C2H6+ ethane cation
C2H4- Ethylene anion
C2H4 Ethylene
C2H4+ Ethylene cation
CH3Cl Methyl chloride
CH3Cl+ Methyl chloride cation
CH3I methyl iodide
CH3NH2 methyl amine
CH3NH2+ methyl amine cation
CH3SH Methanethiol
CH3SH+ Methanethiol cation
CH2Br2 dibromomethane
C2H5Br Ethyl bromide
CH2BrCl Methane, bromochloro-
C3H8 Propane
CH3CCH propyne
CH3CH2Cl Ethyl chloride
CH2CHF Ethene, fluoro-
CH2CHF+ fluoroethene cation
C2H5I Ethyl iodide
CH3CN- acetonitrile anion
CH3CN Acetonitrile
CH3CN+ Acetonitrile cation
CH3CHO Acetaldehyde
CH3CHO+ acetaldehyde cation
CH3CH2SH ethanethiol
CH2Cl2 Methylene chloride
CH2F2 Methane, difluoro-
CH2I2 Diiodomethane
CH3SCH3 Dimethyl sulfide
CH3SCH3+ dimethyl sulfide cation
C3H6 Cyclopropane
C2H4O Ethylene oxide
C2H4O+ ethylene oxide cation
CH3CH(CH3)CH3 Isobutane
CH2CCl2 Ethene, 1,1-dichloro-
CH3COCl Acetyl Chloride
CH3CHF2 Ethane, 1,1-difluoro-
CH2CF2 Ethene, 1,1-difluoro-
N(CH3)3 Trimethylamine
C(CH3)3NH2 2-Propanamine, 2-methyl-
C4H10O Ethanol, 1,1-dimethyl-
Si(CH3)4 tetramethylsilane
C5H8 1,3-Butadiene, 2-methyl-
CH3COCH2CH3 2-Butanone
CHCl2CH2CH3 1,1-dichloropropane
CH2CHCH2CH3 1-Butene
CH2CHCHO Acrolein
C3H7SH 1-Propanethiol
C2H8N2 Ethylenediamine
CH3OCHO methyl formate
C6H10O cyclohexanone
C3H2N2 Malononitrile
C6H12 Cyclohexane
C6H10 cyclohexene
C5H11N Piperidine
CH3OCH3 Dimethyl ether
CH2C(CH3)CH3 1-Propene, 2-methyl-
C5H8O Cyclopentanone
C7H8 Norbornadiene
CH3CH2CHO Propanal
C4H9N Pyrrolidine
CH3NHCH3 Dimethylamine
C4H8O2 Ethyl acetate
C5H10O 2H-Pyran, tetrahydro-
C2H5N Aziridine
CH2N2 diazirine
CH2O2 Dioxirane
C4H6 Bicyclo[1.1.0]butane
C5H8 Spiropentane
C6H10 Bicyclo[3.1.0]hexane
C5H8 Bicyclo[1.1.1]pentane
CH2NN diazomethane
C2H5F fluoroethane
CH2BrF Methane, bromofluoro-
CH2FI fluoroiodomethane
C2H4S Thiirane
CH3CF3 Ethane, 1,1,1-trifluoro-
CH2FCH2CH3 1-Fluoropropane
CH2CCH2 allene
CH2CO Ketene
CH2CO+ Ketene cation
C5H12 Propane, 2,2-dimethyl-
C6H6 Fulvene
CH3CCCH3 2-Butyne
C3H6O Oxetane
CH3OC2H5 Ethane, methoxy-
C4H10O Methyl propyl ether
CH3COF Acetyl fluoride
C6H12 2,3-dimethyl-but-2-ene
C5H10O 2-Butanone, 3-methyl-
CH3F Methyl fluoride
CH3F+ methyl fluoride cation
CH2FCl fluorochloromethane
CH2ClI chloroiodomethane
CH3NC methyl isocyanide
CH3OCl methyl hypochlorite
CH3SeCH3 dimethylselenide
CH3CCl2CH3 Propane, 2,2-dichloro-
C2H4F2 1,2-difluoroethane
CH3SCH2CH3 Ethane, (methylthio)-
CH3ONO Methyl nitrite
C5H12O Butane, 1-methoxy-
C3H6O2 1,3-Dioxolane
C6H8 Bicyclo[3.1.0]hex-2-ene
CH3SiFH2 fluoromethylsilane
C3H7N Cyclopropylamine
CH2CHCH2F Allyl Fluoride
C4H6 Cyclobutene
H2CS- thioformaldehyde anion
H2CS Thioformaldehyde
H2CS+ thioformaldehyde cation
CH3NO nitrosomethane
CH2ClCCCl 1,3-dichloropropyne
C5H4O2 4-Cyclopentene-1,3-dione
CH3SiH3 methyl silane
SiH2(CH3)2 dimethylsilane
C5H8 Cyclobutane, methylene-
C4H6O Cyclobutanone
GeH3CH3 methyl germane
C5H10S 2H-Thiopyran, tetrahydro-
C4H6O Furan, 2,5-dihydro-
C4H6S Thiophene, 2,5-dihydro-
CH2NH Methanimine
CH2NH+ Methanimine cation
CH3O- methoxy anion
CH3O Methoxy radical
CH3O+ Methoxy cation
CH3CH2O Ethoxy radical
CH3- methyl anion
CH3 Methyl radical
CH3+ methyl cation
CH2- methylene anion
CH2 Methylene
CH2+ methylene cation
C3H4 cyclopropene
C5H7N Cyclobutanecarbonitrile
C3H4O Cyclopropanone
C4H5N Cyclopropanecarbonitrile
C3H4O Methylketene
C4H6 Methylenecyclopropane
H2CSe Selenoformaldehyde
C5H6 Cyclopropylacetylene
CH2Cl chloromethyl radical
CH2Cl+ chloromethyl cation
CH3S thiomethoxy
CH2CS Thioketene
C5H6 Propellane
CH2PH Phosphaethene
The small subscript is the number of angles with completed calculations.
Click on an entry for a histogram of the difference distribution.
rms differences (calculated - experiment) in degrees
Methods with predefined basis sets

rms differences (calculated - experiment) in degrees
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 cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ daug-cc-pVQZ
hartree fock HF 2.3155 2.0156 1.8153 1.9147 1.7152 1.7149 1.778 1.7153 1.7145 1.8143 1.7133 0.45 4.6146 1.7150 1.6145 1.775 1.7146 1.7139 1.762 1.03 1.021 1.05 1.69 1.317   0.13 0.725 1.051 4.5144 0.21
ROHF   2.612 2.513 1.812 2.712 2.414 1.914 2.314 1.812   0.66   1.58 2.314 2.014 1.510 1.310 1.410 1.410   0.81     1.13       0.56 0.65  
density functional LSDA 2.170 1.785 1.780 1.973 2.081 1.986 1.986 2.085 1.988 2.084 0.916 0.65 1.332 2.086 1.986 0.64 1.984 2.142 0.64 1.63 1.112 1.55 1.43 1.013   0.43 0.13 0.76 0.76  
BLYP 2.3146 2.1153 2.0146 2.1148 4.8151 2.0148 1.8149 1.9146 1.9146 2.0142 1.957 0.65 1.967 2.0144 1.9144 0.74 1.8119 1.961 0.64 1.33 1.112 1.45 1.03 1.013   0.83 0.93 1.352 1.352  
B1B95 2.3148 2.0126 1.9142 2.0139 1.9137 1.9139 1.7147 1.8144 1.8142 1.9138 1.757 0.55 1.767 1.9140 1.8140 0.54 1.8136 10.6128 0.54 1.33 1.012 1.25 1.15 0.914   0.33 0.22 1.144 1.051  
B3LYP 2.3148 2.0151 1.9152 2.0148 1.9147 1.9149 1.8149 1.8155 2.095 1.9152 1.6112 0.55 4.6146 1.8148 1.8147 2.064 1.8129 4.6147 1.862 1.23 1.221 1.35 1.08 0.917 0.21 0.43 0.725 1.252 1.152  
B3LYPultrafine 1.45 2.370 1.25 0.85 1.8133 2.065 1.887 1.869 0.57 2.156 1.857 0.55 1.865 1.966 1.7121 0.64 1.867 1.7152 0.64 1.22 1.012 1.35 1.13 0.913   0.43 0.53 1.252 1.152  
B3PW91 2.5101 2.0153 1.9151 1.9148 1.8147 1.8148 1.7141 1.8153 2.095 1.9145 1.757 0.55 1.767 1.8148 1.8146 0.64 1.7119 2.197 0.64 1.33 1.012 1.35 1.13 0.913   0.33 0.23 1.152 1.152  
mPW1PW91 2.699 2.0154 2.1107 1.9146 1.8147 1.8148 1.7147 1.7153 1.8148 1.9143 1.757 0.55 1.767 1.8146 1.7129 0.64 1.7126 1.770 0.54 1.33 1.012 1.25 1.13 0.913   0.33 0.23 1.152 1.052  
M06-2X 2.777 2.177 4.6153 2.071 4.6152 1.971 1.771 1.776 1.873 2.2102 1.166 0.45 1.766 1.871 2.1102 0.54 1.769 2.1100 0.54 1.13 0.912 1.15 1.03 0.913   0.53 0.53 1.152 1.051  
PBEPBE 2.696 2.1148 2.296 2.392 1.9145 2.0145 1.8145 1.9151 1.9148 2.0143 1.668 0.65 1.867 2.0140 1.9145 0.64 2.076 1.8112 0.64 1.43 1.112 1.45 1.23 1.013   0.53 0.825 1.252 1.152  
PBEPBEultrafine 1.65 2.470 1.45 0.95 1.8141 2.065 1.765 1.970 0.67 2.156 1.757 0.65 1.865 2.067 1.867 0.64 1.867 1.767 0.64 1.42 1.012 1.45 1.23 1.013   0.53 0.43 1.252 1.152  
PBE1PBE 2.872 2.070 2.070 2.167 4.6148 1.967 1.667 1.872 1.869 1.967 1.757 0.55 1.767 1.867 1.767 0.54 1.767 1.667 0.54 1.42 1.012 1.25 1.23 0.913   0.33 0.23 1.152 1.052  
HSEh1PBE 2.777 4.6154 2.075 2.172 4.6153 1.972 4.5153 1.877 1.874 1.972 1.757 0.55 1.767 1.972 4.6150 0.64 1.870 1.770 0.54 1.33 1.012 1.25 1.23 0.913   0.33 0.23 1.152 1.052  
TPSSh 2.669 2.371 2.169 2.366 4.7154 2.065 4.7152 1.870 1.961 4.9145 1.858   1.866 1.965 4.7152 1.855 1.966 1.866 1.855 1.12 1.012 1.35 1.03 1.013   0.73 0.83 1.253 1.253  
wB97X-D 2.669 2.265 4.7152 2.160 2.2147 1.960 2.1148 1.864 2.2150 1.960 1.757   2.1148 2.1147 2.1148 1.753 1.860 2.1147 1.851 1.32 0.811 1.04 1.22 1.011   0.33 0.33 1.152 1.052  
B97D3 2.764 4.8153 2.362 2.458 4.8147 2.158 4.8148 1.963 4.8150 2.158 4.8149   4.6149 2.058 4.8149 1.953 1.959 4.6149 1.949 1.22 1.011 1.34 1.12 1.011   0.53 0.53 1.352 1.364  
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 cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ daug-cc-pVQZ
Moller Plesset perturbation MP2 2.7103 1.9155 1.8152 1.9146 9.9148 1.7150 1.5145 8.9152 1.7147 2.1121 1.657 0.45 4.6146 1.7150 1.9149 1.759 1.7126 10.8125 1.757 1.33 14.321 0.85 1.511 1.019   0.63 0.725 1.051 0.951 0.11
MP2=FULL 2.7101 2.0139 2.1104 2.1100 2.0150 1.7141 1.6141 1.7151 1.994 2.3107 1.657 0.35 1.766 1.7132 5.0133 1.759 1.870 2.199 1.759 1.33 14.022 0.85 1.511 0.919   0.53 0.725 1.051 1.052  
ROMP2 4.67 2.47 2.47 2.17 2.07 2.17 1.78 1.98 1.88 1.98 0.74   1.66 2.07 1.68   1.78       0.41 0.51   1.02       1.14 0.85  
MP3 0.95 1.05 1.05 0.85 1.8132 0.55 4.7149 0.610 0.57 0.55 1.839 0.45 1.852 1.952 1.853 0.44 0.45 0.45 0.32 1.33 0.811 0.95 1.13 0.912   0.33 0.43 0.729 0.622  
MP3=FULL   2.446 2.147 2.245 4.8148 2.045 4.7148 1.850 2.043 2.041 1.934   1.949 1.953 1.754   1.941 1.841   1.42 0.811 0.95 1.13 0.711   0.33 0.43 0.626 0.624  
MP4 1.614 2.187 1.16 0.86 7.1105 0.65 0.45 0.921 1.671 0.610 1.840 0.35 1.755 1.754 1.659 0.34 1.854 1.844 0.34 1.33 0.811 0.85 1.13 0.912   0.63 0.83 0.727 0.626  
MP4=FULL 1.35 2.355 1.25 0.85 1.852 0.65 0.45 0.47 1.754 0.75 1.936 0.35 0.24 1.751 1.750 0.34 1.948 0.838 0.44 1.42 0.88 0.95 1.13 0.912   0.63 0.83 0.727 0.625  
B2PLYP 2.872 2.272 2.070 2.166 4.8148 1.966 1.670 1.771 1.868 2.298 1.757 0.43 1.767 1.866 4.8145 0.43 1.767 2.1104 0.64 1.32 0.912 1.15 1.03 0.913   0.53 0.63 1.152 1.053  
B2PLYP=FULL 2.871 2.274 2.069 2.165 1.868 1.965 1.768 1.870 1.868 1.965 1.757 0.11 1.766 1.865 1.766   1.766 1.766   1.32 0.912 1.15 1.03 0.913   0.53 0.63 1.152 1.052  
B2PLYP=FULLultrafine 2.964 2.364 2.162 2.259 1.472 1.958 1.759 1.863 1.861 1.958 1.755   1.859 1.157 1.158   1.859 1.152   1.32 0.811 0.914 1.22 0.911   1.19 0.63 1.149 1.049  
Configuration interaction CID 0.95 2.299 2.190 2.185 1.7136 0.96 0.45 1.893 0.611 0.710 1.749 0.45 0.14 1.947 1.850 0.44 0.45 0.35 0.22 1.42 0.912 1.05 1.13 0.913   0.33 0.43 0.940 0.733  
CISD 1.05 2.1102 2.190 2.185 1.7136 0.614 0.45 1.890 0.611 0.710 1.748 0.35 0.24 1.947 1.848 0.44 0.35 0.35 0.22 1.32 0.912 1.05 1.13 0.913   0.33 0.53 0.940 0.833  
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 cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ daug-cc-pVQZ
Quadratic configuration interaction QCISD 1.521 5.7141 2.191 2.193 2.1130 1.999 1.698 1.6140 1.6123 2.1104 1.749 0.35 1.762 1.898 2.1102 0.44 1.765 2.195 0.32 1.33 0.811 0.95 0.94 0.813   0.43 0.63 0.940 0.936  
QCISD(T) 1.15 1.07 1.06 0.85 8.085 1.57 1.09 1.758 0.515 0.55 1.842 0.35 1.757 1.762 1.760 0.34 1.855 1.844 0.44 1.42 0.811 0.85 0.94 0.813   0.53 0.73 0.734 0.629  
QCISD(T)=FULL         1.850   1.851 0.65 0.42   2.032     1.850 0.943 0.935 1.947 0.940 0.725 1.81 0.710 1.03 1.71 0.810   0.62 0.73 0.935 0.829  
QCISD(TQ) 1.05 1.05 1.24 0.94 1.311 0.55 1.111 0.54 0.45 0.55 0.45 0.44 0.24 1.311 0.99 0.94 0.911 0.85 1.32         0.01         0.51  
QCISD(TQ)=FULL         1.48   1.47             1.57 0.75 1.03 1.07 0.84 1.22         0.01       0.51 0.51  
Coupled Cluster CCD 1.421 2.1100 2.192 2.193 4.9143 1.992 1.890 1.8101 1.682 1.684 1.653 0.45 1.762 1.896 1.676 0.44 1.765 1.757 0.32 1.33 0.911 1.05 1.49 1.017   0.43 0.53 0.940 0.828  
CCSD 1.05 1.06 1.05 0.85 2.2107 2.146 1.848 1.855 1.951 2.291 1.749 0.45 1.760 1.866 2.1100 2.036 1.760 2.190 1.018 1.42 0.811 0.95 1.13 0.912   0.43 0.53 0.734 0.626  
CCSD=FULL 1.05 1.05 1.05 0.85 2.294 0.55 0.45 0.610 0.57 2.291 1.653 0.44 1.759 1.859 2.195 1.035 1.761 1.787 0.913 1.42 0.812 1.05 1.13 0.812   0.52 0.53 0.832 0.729  
CCSD(T) 1.15 1.18 1.06 0.85 3.099 1.760 1.852 1.758 1.656 1.746 1.844 0.35 1.755 1.765 1.762 0.836 1.861 1.852 0.831 1.33 0.811 0.85 1.211 0.917   0.53 0.63 0.734 0.629  
CCSD(T)=FULL 1.15 1.15 1.15 0.85 1.767 0.55 0.45 0.510 0.47 0.65 1.841 0.45 1.759 1.666 1.660 0.840 1.761 1.752 0.624 1.33 0.712 0.95 1.211 0.818   0.53 0.73 0.834 0.729  
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 cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ daug-cc-pVQZ

rms differences (calculated - experiment) in degrees
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 1.8153 1.8138 1.8154 1.8138 1.8157 1.8158 1.013   2.1155
ROHF             0.02   0.810
density functional LSDA 0.35 0.35 0.55 0.45 0.65 0.65 1.013   1.07
BLYP 0.45 0.35 0.55 0.55 0.55 0.55 1.513   1.863
B1B95 1.4118 1.3113 0.58 0.47 0.48 0.48 1.013   1.763
B3LYP 1.9159 1.8141 1.9154 1.8136 1.9158 1.9159 1.213   4.7156
B3LYPultrafine 0.45 0.35 0.55 0.55 0.55 0.55 1.213   1.763
B3PW91 0.45 0.35 0.55 0.55 0.55 0.55 1.113   1.763
mPW1PW91 0.45 0.35 0.55 0.55 0.55 0.55 1.013   1.663
M06-2X 0.55 0.35 0.65 0.45 0.65 0.65 1.013   1.662
PBEPBE 0.35 0.35 0.55 0.55 0.55 0.55 1.213   4.7156
PBEPBEultrafine 0.35 0.35 0.55 0.55 0.55 0.55 1.213   1.763
PBE1PBE 0.45 0.35 0.55 0.45 0.55 0.55 1.013   1.663
HSEh1PBE 0.45 0.35 0.55 0.55 0.55 0.55 1.013   1.663
TPSSh             1.313   1.764
wB97X-D 2.066 1.952 2.066 1.951 1.970 1.970 1.013   1.663
B97D3             1.413   1.863
Moller Plesset perturbation MP2 1.9153 1.8137 2.0152 1.8136 1.8158 1.9158 0.913   2.0157
MP2=FULL 0.65 0.55 0.75 0.45 0.55 0.55 0.813   1.663
ROMP2             0.42   0.78
MP3 0.75 0.55 0.75 0.55 0.65 0.65 0.913   1.940
MP3=FULL             0.910   1.938
MP4 0.55 0.45 0.65 0.45 0.55 0.55 0.913   2.033
MP4=FULL 0.55 0.45 0.65 0.45 0.55 0.55 0.913   1.935
B2PLYP 0.63 0.23 0.73 0.43 0.63 0.63 1.013   1.763
B2PLYP=FULL 0.81 0.21 0.81 0.01 0.31 0.31 1.013   1.763
B2PLYP=FULLultrafine             1.013   1.761
Configuration interaction CID 0.75 0.45 0.75 0.45 0.65 0.65 0.913   1.750
CISD 0.65 0.45 0.65 0.45 0.65 0.65 0.913   1.750
Quadratic configuration interaction QCISD 0.65 0.45 0.75 0.45 0.65 0.65 0.913   1.751
QCISD(T) 0.65 0.55 0.75 0.45 0.65 0.65 0.913   1.845
QCISD(T)=FULL             0.913   1.841
QCISD(TQ) 0.75 0.55 0.75 0.45 0.65 0.65      
Coupled Cluster CCD 0.75 0.55 0.75 0.45 0.65 0.65 0.913   1.751
CCSD 0.75 0.55 0.75 0.45 0.65 0.65 0.913   1.751
CCSD=FULL 0.75 0.55 0.75 0.45 0.65 0.65 0.913   1.751
CCSD(T) 0.65 0.55 0.75 0.45 0.65 0.65 1.012   1.845
CCSD(T)=FULL 0.65 0.55 0.75 0.45 0.65 0.65 0.913   1.748
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.