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Geometry Comparison

NaCl (Sodium Chloride)


distance is atom 1 (Na) to atom 2 (Cl)

Experimental bond length is 2.361  Å

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Calculated bond length in Å
Methods with predefined basis sets
semi-empirical PM3 2.122
PM6 1.700
composite G2 2.397
G3 2.397
G3B3 2.373
G3MP2 2.397
G4 2.377
CBS-Q 2.397

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 2.220 2.421 2.378 2.433 2.397 2.397 2.406 2.401 2.401 2.385 2.389 2.405 2.398 2.398 2.396 2.407 2.397 2.396 2.397 2.397 2.391 2.397
density functional LSDA 2.185 2.364 2.313 2.375 2.342 2.342 2.355 2.347 2.347 2.322   2.350 2.342 2.345   2.345 2.341     2.342 2.333  
BLYP 2.221 2.404 2.358 2.421 2.392 2.389 2.406 2.401 2.401 2.373   2.402 2.388 2.394   2.399       2.390 2.386  
B1B95 2.213   2.360 2.416 2.379 2.380 2.394 2.387 2.387 2.364   2.390 2.384 2.381   dnf       2.383 2.371  
B3LYP 2.213 2.393 2.347 2.409 2.376 2.376 2.391 2.386 2.386 2.361 2.372 2.388 2.376 2.381 2.376 2.386 2.381 2.377 2.380 2.377 2.372  
B3LYPultrafine   2.393     2.376 2.376 2.390 2.386       2.387 2.375 2.381   2.385 2.388     2.377 2.372  
B3PW91 2.214 2.408 2.363 2.416 2.381 2.381 2.393 2.387 2.387 2.366   2.391 2.383 2.384   2.388 2.389     2.384 2.374  
mPW1PW91 2.212 2.401 2.356 2.411 2.376 2.376 2.387 2.382 2.382 2.361   2.386 2.379 2.379   2.384 2.377     2.379 2.370  
M06-2X 2.204 2.386 2.338 2.401 2.364 2.364 2.376 2.370 2.370 2.372 2.357 2.374 2.366 2.382   2.374 2.381     2.366 2.360  
PBEPBE 2.215 2.404 2.357 2.417 2.383 2.383 2.397 2.390 2.390 2.366 2.376 2.393 2.384 2.386   2.390 2.385     2.385 2.376  
PBEPBEultrafine   2.403     2.382 2.382 2.396 2.390       2.392 2.383 2.385   2.389 2.385     2.385 2.376  
PBE1PBE 2.209   2.351 2.408 2.373 2.373 2.385 2.379 2.379 2.358   2.382 2.375 2.375   2.381 2.374     2.375 2.366  
HSEh1PBE 2.209 2.397 2.351 2.408 2.374 2.374 2.386 2.380 2.380 2.359   2.383 2.376 2.376   2.382 2.375     2.376 2.367  
TPSSh   2.407 2.361 2.417 2.389 2.382 2.395 2.387   2.381   2.392 2.385 2.390   2.390 2.383     2.386 2.375  
wB97X-D     2.394   2.395   2.402   2.399     2.402 2.402 2.397     2.397          
B97D3   2.416     2.401   2.409   2.408   2.401 2.422   2.405     2.412         2.412
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 2.215 2.434 2.376 2.447 2.395 2.393 2.404 2.390 2.386 2.393   2.405 2.402 2.402 2.405 2.425 2.406 2.408 2.397 2.397 2.397  
MP2=FULL 2.238 2.434 2.373 2.449 2.393 2.391 2.400 2.380 2.380 2.384   2.401 2.400 2.398 2.386 2.409 2.385 2.290 2.397 2.388 2.373  
MP3         2.392   2.394         2.404 2.401 2.403           2.396 2.394  
MP3=FULL         2.393   2.398         2.400 2.399 2.396           2.389 2.374  
MP4   2.436     2.395     2.386 2.386     2.407 2.403 2.405   2.428 2.413     2.398 2.396  
MP4=FULL   2.436     2.392       2.380       2.401 2.398   2.411 2.372     2.391 2.375  
B2PLYP 2.211 2.402 2.352 2.418 2.386 2.378 2.391 2.382 2.382 2.380   2.389 2.380 2.390   2.395 2.392     2.380 2.376  
B2PLYP=FULL 2.210 2.403 2.351 2.418 2.389 2.377 2.397 2.380 2.380 2.362   2.388 2.380 2.383   2.389 2.375     2.377 2.369  
B2PLYP=FULLultrafine         2.377               2.379 2.382     2.375          
Configuration interaction CID   2.434 2.375 2.449 2.392     2.384                       2.396 2.392  
CISD   2.435 2.376 2.450 2.393     2.385                       2.396 2.393  
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   2.436 2.377 2.452 2.395 2.394 2.404 2.386 2.386 2.392   2.406 2.403 2.401   2.425 2.404     2.398 2.395  
QCISD(T)         2.396     2.387       2.407 2.404 2.405   2.428 2.413     2.399 2.396  
QCISD(T)=FULL         2.393   2.403           2.402 2.398 2.384 2.411 2.372 2.278   2.391 2.375  
QCISD(TQ)         2.395   2.406           2.404 2.405 2.403 2.427 2.412 2.406        
QCISD(TQ)=FULL         2.393   2.403           2.402 2.398 dnf 2.411 2.372 dnf        
Coupled Cluster CCD   2.435 2.375 2.450 2.394 2.393 2.403 2.384 2.384 2.388   2.405 2.401 2.403   2.424 2.409     2.396 2.394  
CCSD         2.395     2.386   2.392   2.406 2.402 2.401 2.401 2.424 2.404 2.403   2.398 2.394  
CCSD=FULL         2.394         2.384   2.402 2.400 2.397 2.382 2.408 2.383 2.278   2.391 2.375  
CCSD(T)         2.396 2.396   2.387     2.401 2.407 2.403 2.405 2.404 2.427 2.413 2.406 2.405 2.399 2.396  
CCSD(T)=FULL         2.393   2.403         2.403 2.402 2.398 2.384 2.411 2.372 2.279 2.397 2.391 2.375  
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 2.508 2.452 2.430 2.389 2.433 2.415     2.389
density functional B1B95 2.503 2.448              
B3LYP 2.504 2.451 2.438 2.397 2.435 2.395     2.379
PBEPBE                 2.381
Moller Plesset perturbation MP2 2.517 2.449 2.446 2.382 2.434 2.426     2.392
Values that are outliers may reflect incorrect atom numbering for different levels of theory.
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