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Geometry Comparison

H2 (Hydrogen diatomic)


distance is atom 1 (H) to atom 2 (H)

Experimental bond length is 0.741  Å

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Calculated bond length in Å
Methods with predefined basis sets
semi-empirical AM1 0.676
PM3 0.699
composite G2 0.730
G3 0.730
G3B3 0.743
G3MP2 0.730
G4 0.743
CBS-Q 0.730

Calculated bond length 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 0.712 0.735 0.735 0.730 0.730 0.733 0.733 0.732 0.735 0.733   0.734 0.735 0.748 0.734 0.734 0.748 0.734 0.734 0.755 0.748 0.734
density functional LSDA 0.736 0.767 0.767 0.763 0.763 0.763 0.763 0.764 0.765 0.763 0.764 0.764 0.765 0.780 0.764 0.763 0.779 0.764 0.763   0.779 0.764
BLYP 0.734 0.751 0.751 0.748 0.748 0.747 0.747 0.746 0.748 0.747 0.746 0.746 0.747 0.768 0.747 0.745 0.766 0.746 0.745   0.766 0.746
B1B95 0.728 0.745 0.745 0.742 0.742 0.742 0.742 0.743 0.743 0.742 0.741 0.741 0.742 0.760 0.742 0.741 0.759 0.741 0.741   0.758 0.741
B3LYP 0.728 0.746 0.746 0.743 0.743 0.743 0.743 0.742 0.744 0.743 0.743 0.743 0.744 0.762 0.743 0.742 0.761 0.743 0.742 0.769 0.760 0.743
B3LYPultrafine 0.728 0.746 0.746 0.743 0.743 0.743 0.743 0.742 0.744 0.743 0.743 0.743 0.744 0.762 0.743 0.742 0.761 0.743 0.742   0.760 0.743
B3PW91 0.729 0.747 0.747 0.743 0.743 0.743 0.743 0.744 0.745 0.743 0.744 0.744 0.745 0.761 0.744 0.743 0.760 0.744 0.743   0.759 0.744
mPW1PW91 0.727 0.746 0.746 0.741 0.741 0.742 0.742 0.742 0.744 0.742 0.743 0.743 0.744 0.760 0.743 0.743 0.759 0.743 0.743   0.758 0.743
M06-2X 0.722 0.742 0.742 0.737 0.737 0.737 0.737 0.738 0.740 0.737 0.739 0.738 0.740 0.755 0.739 0.737 0.755 0.739 0.737   0.754 0.739
PBEPBE 0.734 0.754 0.753 0.750 0.750 0.750 0.750 0.750 0.752 0.750 0.751 0.751 0.752 0.769 0.751 0.750 0.768 0.751 0.750 0.776 0.768 0.751
PBEPBEultrafine 0.734 0.753 0.753 0.750 0.750 0.750 0.750 0.750 0.752 0.750 0.751 0.751 0.752 0.769 0.751 0.750 0.768 0.751 0.750   0.768 0.751
PBE1PBE 0.728 0.747 0.747 0.743 0.744 0.744 0.744 0.744 0.746 0.744 0.745 0.745 0.746 0.762 0.745 0.745 0.761 0.745 0.745   0.760 0.745
HSEh1PBE 0.728 0.747 0.747 0.743 0.743 0.744 0.744 0.744 0.746 0.744 0.745 0.745 0.746 0.762 0.745 0.744 0.761 0.745 0.744   0.760 0.745
TPSSh   0.743 0.743 0.739 0.739 0.739 0.739 0.741   0.739     0.742 0.757 0.746   0.756 0.742     0.755 0.742
wB97X-D     0.746   0.741   0.742   0.744       0.744 0.742 0.743     0.743     0.757 0.743
B97D3   0.748     0.744   0.744   0.746   0.745   0.745   0.745     0.745     0.761 0.745
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 0.724 0.741 0.741 0.738 0.738 0.734 0.734 0.737 0.738 0.734 0.737 0.737 0.738 0.754 0.737 0.736 0.755 0.737 0.736 0.766 0.755 0.738
MP2=FULL 0.724 0.741 0.741 0.738 0.738 0.734 0.734 0.737 0.738 0.734 0.737 0.737 0.738 0.754 0.737 0.736 0.755 0.738 0.736 0.766 0.755 0.738
MP3 0.730 0.745 0.745 0.742 0.742 0.735 0.735 0.742 0.740 0.735 0.739 0.740 0.740 0.758 0.739 0.739 0.758 0.740 0.739   0.758 0.740
MP3=FULL         0.742   0.735           0.740 0.758 0.739           0.758 0.740
MP4 0.733 0.748 0.748 0.744 0.744 0.737 0.737 0.744 0.742 0.737 0.741 0.741 0.741 0.759 0.741 0.740 0.760 0.742 0.741   0.760 0.742
MP4=FULL 0.733 0.748 0.748 0.744 0.744 0.737 0.737 0.744 0.742 0.737 0.741 0.741   0.759 0.741 0.740 0.760 0.742 0.741   0.760 0.742
B2PLYP 0.725 0.743 0.743 0.740 0.740 0.739 0.739 0.739 0.741 0.739 0.740 0.740 0.741 0.758 0.740 0.739 0.758 0.740 0.739   0.757 0.740
B2PLYP=FULL 0.725 0.743 0.743 0.740 0.739 0.739 0.739 0.739 0.741 0.739     0.741 0.758 0.740   0.758 0.740     0.757 0.740
B2PLYP=FULLultrafine 0.725 0.743 0.743 0.740 0.740 0.739 0.739 0.739 0.741 0.739     0.741 0.758 0.740   0.758 0.740     0.757 0.740
Configuration interaction CID 0.735 0.749 0.749 0.745 0.746 0.738 0.738 0.746 0.743 0.738 0.742 0.742   0.760 0.742 0.741 0.761 0.742 0.741   0.760 0.742
CISD 0.735 0.750 0.749 0.746 0.746   0.738 0.746 0.743 0.738 0.742 0.743   0.761 0.743 0.742 0.761 0.743 0.742   0.761 0.743
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 0.735 0.750 0.749 0.746 0.746 0.738 0.738 0.746 0.743 0.738 0.742 0.743 0.743 0.761 0.743 0.742 0.761 0.743 0.742   0.761 0.743
QCISD(T) 0.735 0.750 0.750 0.746 0.746 0.738 0.738 0.746 0.743 0.738 0.742 0.743 0.743 0.761 0.743 0.742 0.762 0.743 0.742   0.761 0.743
QCISD(T)=FULL         0.746   0.738             0.761 0.743 0.742 0.762 0.743 0.742   0.761 0.743
QCISD(TQ)                     dnf                      
Coupled Cluster CCD 0.735 0.749 0.749 0.745 0.746 0.738 0.738 0.746 0.743 0.738 0.742 0.742 0.742 0.760 0.742 0.741 0.761 0.742 0.741   0.760 0.742
CCSD   0.749 0.749 0.746 0.746 0.738 0.738 0.746 0.743 0.738 0.742 0.743 0.743 0.761 0.743 0.742 0.761 0.743 0.742   0.761 0.743
CCSD=FULL dnf 0.749 0.749 0.746 0.746 0.738 0.738 0.746 0.743 0.738 0.742 0.743 0.743 0.761 0.743 0.742 0.761 0.743 0.742   0.761 0.743
CCSD(T)   0.750 0.750 0.746 0.746 0.738 0.738 0.746   0.738 0.742 0.743 0.743 0.761 0.743 0.742 0.762 0.743 0.742   0.761 0.743
CCSD(T)=FULL   0.750 0.750 0.746 0.746 0.738 0.738 0.747 0.743 0.738 0.742 0.743 0.743 0.761 0.743 0.742 0.762 0.743 0.742   0.761 0.743
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

Calculated bond length 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 0.731 0.731 0.732 0.732 0.731 0.731     0.734
density functional LSDA 0.764 0.764 0.764 0.764 0.764 0.764      
BLYP 0.748 0.748 0.746 0.746 0.748 0.748      
B1B95 0.743 0.743 0.741 0.741 0.742 0.742      
B3LYP 0.743 0.743 0.742 0.742 0.743 0.743     0.743
B3LYPultrafine 0.743 0.743 0.742 0.742 0.743 0.743      
B3PW91 0.744 0.744 0.743 0.743 0.744 0.744      
mPW1PW91 0.742 0.742 0.742 0.742 0.742 0.742      
M06-2X 0.738 0.738 0.738 0.738 0.738 0.738      
PBEPBE 0.751 0.751 0.750 0.750 0.751 0.751     0.750
PBEPBEultrafine 0.751 0.751 0.750 0.750 0.751 0.751      
PBE1PBE 0.744 0.744 0.744 0.744 0.744 0.744      
HSEh1PBE 0.744 0.744 0.744 0.744 0.744 0.744      
Moller Plesset perturbation MP2 0.738 0.738 0.737 0.737 0.738 0.738     0.737
MP2=FULL 0.738 0.738 0.737 0.737 0.738 0.738      
MP3 0.743 0.743 0.742 0.742 0.743 0.743      
MP4 0.745 0.745 0.744 0.744 0.745 0.745      
MP4=FULL 0.745 0.745 0.744 0.744 0.745 0.745      
B2PLYP 0.740 0.740 0.739 0.739 0.740 0.740      
Configuration interaction CID 0.746 0.746 0.746 0.746 0.746 0.746      
CISD 0.747 0.747 0.746 0.746 0.747 0.747      
Quadratic configuration interaction QCISD 0.747 0.747 0.746 0.746 0.747 0.747      
QCISD(T) 0.747 0.747 0.747 0.747 0.747 0.747      
Coupled Cluster CCD 0.746 0.746 0.746 0.746 0.746 0.746      
CCSD 0.747 0.747 0.746 0.746 0.747 0.747      
CCSD=FULL 0.747 0.747 0.746 0.746 0.747 0.747      
CCSD(T) 0.747 0.747 0.747 0.747 0.747 0.747      
CCSD(T)=FULL 0.747 0.747 0.747 0.747 0.747 0.747      
Values that are outliers may reflect incorrect atom numbering for different levels of theory.
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