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Geometry Comparison

Al2 (Aluminum diatomic)


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

Experimental bond length is 2.701  Å

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Calculated bond length in Å
Methods with predefined basis sets
semi-empirical AM1 2.498
PM3 2.571
PM6 2.591
composite G2 2.991
G3 2.991
G3B3 3.065
G3MP2 2.539
G4 3.031
CBS-Q 2.991

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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVTZ
hartree fock HF 2.510 3.193 2.984 3.133 2.991 2.991 2.979 3.020 3.020 2.999 2.256 2.591 3.040 3.010 2.999 3.015 3.000 2.995   2.769 dnf 2.342
ROHF         2.544                                  
density functional LSDA 2.582 3.029 3.029 3.113 3.045 3.045 3.036 3.058 3.058 3.029     3.068 3.037   3.049 3.029          
BLYP 2.614 3.231 3.104 3.204 2.591 3.125 3.111 3.148 3.148 3.104     3.144 3.115   2.806            
B1B95 2.565   3.017 3.113 3.028 3.028 3.018 3.052 3.052 3.019     3.055 3.030 3.021 3.034 3.022 3.017        
B3LYP 2.582 3.187 3.045 3.153 3.065 3.065 3.052 3.085 3.085 3.051 2.502 2.591 3.089 3.060 3.052 3.066 3.050 3.046   2.769    
B3LYPultrafine         3.065                       3.030          
B3PW91 2.572 3.168 3.026 3.125 3.038 3.038 3.032 3.062 3.062 3.031     3.066 3.040   2.750            
mPW1PW91 2.564 3.158 3.014 3.115 3.027 3.027 3.020 3.051 3.051 3.021     3.056 3.030   2.744            
M06-2X     2.344   2.906           2.346                      
PBEPBE 2.597 3.194 3.069 3.161 3.084 3.084 3.074 3.107 3.107 3.070 2.489   3.106 3.080 3.075 3.086 3.071 3.071        
PBEPBEultrafine         2.497                                  
PBE1PBE         2.362                                  
HSEh1PBE   2.909     2.909   2.909             2.909                
TPSSh         2.909   2.909     2.591       2.909                
wB97X-D     2.591   2.591   2.591   2.591     2.591 2.591 2.591     2.591          
B97D3   2.591     2.591   2.591   2.591   2.591 dnf   dnf     2.404         2.404
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVTZ
Moller Plesset perturbation MP2 2.537 3.249 2.954 3.198 2.591 2.966 2.954 2.591 2.991 2.991   2.591 3.040 2.997 2.463 3.019 2.991 2.463   2.744 2.718  
MP2=FULL 2.535 3.251 2.949 3.199 2.960 2.960 2.950 2.991 2.991 2.960     3.034 2.975 2.656 3.013 2.371     2.738 2.708  
MP3         2.965   2.888                              
MP3=FULL         2.883   2.877                              
MP4   3.310     2.971     2.475 2.994                          
B2PLYP         2.908                 2.909                
B2PLYP=FULL   2.785     2.742   2.743                              
B2PLYP=FULLultrafine         2.371               2.382 2.367     2.363          
Configuration interaction CID   3.280 2.948 3.236 2.965     2.986                            
CISD   3.285 2.951 3.240 2.968     2.991                            
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   3.321 2.941 3.281 2.962 2.962 2.950 2.983 2.983 2.974     3.039 2.977                
QCISD(T)         2.965     2.307         3.048 2.983   3.026 2.978          
Coupled Cluster CCD   3.309 2.937 3.270 2.957 2.957 2.945 2.976 2.976 2.971     3.033 2.974   3.011 2.969          
CCSD         2.961     2.285                            
CCSD(T)         2.964 2.491   2.302     2.717   3.047 2.983 2.969 3.026 2.977   2.722 2.759 2.723  
CCSD(T)=FULL         2.957               2.752 2.706 2.953 2.757 2.694     2.753 2.716  
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ 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 3.096 3.001 3.105 3.000 3.165 3.260     2.591
density functional B1B95 2.835 2.532              
B3LYP 3.162 3.078 3.159 3.072 3.216 3.257     2.591
PBEPBE                 dnf
Moller Plesset perturbation MP2 3.164 2.983 3.172 2.985 3.228 3.295     2.591
Values that are outliers may reflect incorrect atom numbering for different levels of theory.
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