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Comparison of levels of theory for Ne-Ne


Click on an entry for a histogram of the values.
The subscript refers to how many bonds of that type have been calculated.
average calculated bond lengths (Å)
Methods with predefined basis sets
semi-empirical PM6 4.0667
2
composite G2 2.3426
2
G3 2.3426
2
G3B3 2.3790
2
G4 2.2065
2
CBS-Q 2.3521
2

average calculated bond lengths (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 daug-cc-pVTZ
hartree fock HF 2.2786
2
2.3278
2
2.3278
2
2.3230
2
2.1892
2
2.1892
2
2.4810
2
2.3078
2
2.3078
2
2.1665
2
  2.5892
2
2.2629
2
2.4096
2
2.5689
2
2.6745
2
2.6685
2
2.7537
2
2.5719
2
ROHF   1.6556
1
1.6556
1
1.7178
1
1.6928
1
1.6928
1
1.7016
1
1.7221
1
1.7221
1
    1.7092
1
1.7146
1
1.6968
1
1.6900
1
1.7055
1
1.6921
1
1.6906
1
 
density functional LSDA 2.2832
2
2.4080
2
2.4080
2
2.0970
2
2.0697
2
2.0697
2
2.3317
2
2.1433
2
2.1433
2
2.0579
2
  1.8556
1
2.0996
2
2.1812
2
  2.3327
2
2.2016
2
   
BLYP 2.3422
2
2.4720
2
2.4720
2
2.3803
2
2.3935
2
2.1853
2
2.5717
2
2.3083
2
2.3083
2
2.1645
2
  1.9799
1
2.3540
2
2.3813
2
         
B1B95 2.3765
2
2.5335
2
2.5335
2
2.4161
2
2.3998
2
2.3998
2
2.9394
2
2.3837
2
2.3837
2
2.1978
2
  1.8499
1
2.4146
2
2.3855
2
  3.0837
2
2.3963
2
   
B3LYP 2.3220
2
2.4365
2
2.4365
2
2.3429
2
2.1470
2
2.1470
2
2.4890
2
2.2535
2
2.2535
2
2.1335
2
  2.4817
2
2.3410
2
2.3211
2
2.4504
2
2.6886
2
2.4727
2
2.6678
2
 
B3LYPultrafine   1.7618
1
    2.1587
2
1.8114
1
1.8339
1
1.8549
1
      1.8669
1
1.8360
1
1.8424
1
  1.8363
1
2.2690
2
   
B3PW91 2.3546
2
2.5936
2
2.5936
2
2.5040
2
2.3298
2
2.3298
2
2.9339
2
2.5003
2
2.5003
2
2.1933
2
  1.8706
1
2.5023
2
2.4991
2
         
mPW1PW91 2.3206
2
2.5419
2
2.5419
2
2.3355
2
2.1887
2
2.1887
2
2.5212
2
2.3026
2
2.3026
2
2.1666
2
  1.8463
1
2.3340
2
2.3847
2
  2.6493
2
2.5495
2
   
M06-2X 2.3122
2
2.3091
2
2.0231
2
2.2064
2
2.1567
2
2.1567
2
2.3671
2
2.2386
2
2.2386
2
2.1281
2
2.4038
2
1.7771
1
2.2105
2
2.3168
2
  2.3705
2
2.3816
2
   
PBEPBE 2.3194
2
2.5334
2
2.5334
2
2.2256
2
2.1887
2
2.1887
2
2.4866
2
2.2892
2
2.2892
2
2.1685
2
  1.9697
1
2.2351
2
2.3634
2
  2.5129
2
2.4569
2
   
PBEPBEultrafine   1.8106
1
    1.8785
1
1.8785
1
1.9144
1
1.9355
1
      1.9719
1
1.9072
1
1.9335
1
  1.9157
1
1.9168
1
   
PBE1PBE 1.6385
1
1.7479
1
1.7479
1
1.8282
1
1.7978
1
1.7978
1
1.8161
1
1.8391
1
1.8391
1
1.8038
1
  1.8426
1
1.8251
1
1.8180
1
  1.8196
1
1.8046
1
   
HSEh1PBE 2.3191
2
2.4019
2
2.4019
2
2.3346
2
2.1589
2
2.1589
2
2.4874
2
2.2505
2
2.2505
2
2.1441
2
  1.8435
1
2.3331
2
2.3321
2
  2.4749
2
2.4031
2
   
TPSSh   1.7773
1
1.7773
1
1.8655
1
2.4110
2
1.8343
1
2.4310
2
1.8805
1
  2.3654
2
  1.8930
1
1.8627
1
2.4292
2
  1.8592
1
1.8493
1
   
wB97X-D     2.3734
2
  2.3756
2
  2.3904
2
  2.3893
2
    2.3980
2
2.3904
2
2.3855
2
    2.3895
2
   
B97D3   2.3921
2
    2.3921
2
  2.4087
2
  2.4055
2
  2.4079
2
2.6288
2
  2.4023
2
    2.6158
2
  2.6552
2
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 daug-cc-pVTZ
Moller Plesset perturbation MP2 1.5572
1
2.2611
2
2.2611
2
2.3004
2
2.3501
2
2.1548
2
2.4457
2
2.3712
2
2.2900
2
2.1246
2
  2.5315
2
2.2450
2
2.3546
2
2.4484
2
2.5118
2
2.4403
2
2.4509
2
 
MP2=FULL 1.5572
1
2.2611
2
2.2611
2
2.3003
2
2.1530
2
2.1530
2
2.4323
2
2.2889
2
2.2889
2
2.1219
2
  1.7533
1
2.2446
2
2.3510
2
2.4441
2
2.5039
2
2.1177
2
2.4415
2
 
ROMP2 1.5572
1
1.6818
1
1.6818
1
1.7666
1
1.7251
1
1.7251
1
1.7449
1
1.7702
1
1.7702
1
1.7277
1
  1.7714
1
1.7564
1
1.7415
1
  1.7478
1
     
MP3         2.1555
2
  2.3547
2
        1.7432
1
1.7381
1
1.7169
1
         
MP3=FULL         2.3468
2
  2.3630
2
        1.7431
1
1.7379
1
1.7157
1
         
MP4   2.0907
2
    2.1504
2
      2.2880
2
    1.7552
1
1.7414
1
2.3506
2
  1.7334
1
1.7180
1
   
MP4=FULL   1.6743
1
    1.7096
1
      1.7552
1
      1.7412
1
1.7242
1
  1.7328
1
1.7132
1
   
B2PLYP 1.5996
1
1.7178
1
1.7178
1
1.7935
1
1.7599
1
1.7599
1
1.7803
1
1.8015
1
1.8015
1
1.7648
1
  1.8045
1
1.7875
1
1.7784
1
  1.7828
1
1.7688
1
   
B2PLYP=FULL 1.5996
1
1.7178
1
1.7178
1
1.7934
1
1.7597
1
1.7597
1
1.7801
1
1.8013
1
1.8013
1
1.7644
1
  1.8045
1
1.7874
1
1.7779
1
  1.7826
1
1.7672
1
   
B2PLYP=FULLultrafine         2.1340
2
              2.1851
2
2.3061
2
    2.4238
2
   
Configuration interaction CID   2.3295
2
2.3295
2
2.3268
2
2.1569
2
    2.2920
2
                     
CISD   2.3296
2
2.3296
2
1.7475
1
2.1557
2
    2.2915
2
                     
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 daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.6740
1
1.6740
1
1.7519
1
2.1546
2
2.1546
2
2.4342
2
2.2922
2
2.2922
2
2.1237
2
  1.7527
1
2.2464
2
2.3616
2
  2.4934
2
2.4251
2
   
QCISD(T)         2.1523
2
            1.7557
1
2.2437
2
2.3539
2
  1.7347
1
1.7187
1
   
QCISD(T)=FULL         1.7098
1
  1.7310
1
          1.7411
1
1.7240
1
1.7120
1
1.7340
1
1.7138
1
1.7121
1
 
QCISD(TQ)         1.7106
1
  1.7315
1
          1.7418
1
1.7255
1
1.7128
1
1.7348
1
1.7188
1
1.7129
1
 
QCISD(TQ)=FULL         1.7101
1
  1.7309
1
          1.7416
1
1.7243
1
1.7122
1
1.7342
1
1.7140
1
1.7115
1
 
Coupled Cluster CCD   2.3369
2
2.3369
2
2.4229
2
2.1566
2
2.1566
2
2.4326
2
2.2931
2
2.2931
2
2.1262
2
  1.7444
1
2.2475
2
2.3587
2
  2.4997
2
2.4272
2
   
CCSD         2.1554
2
            1.7513
1
2.2472
2
2.3612
2
1.7089
1
1.7321
1
1.7144
1
1.7085
1
 
CCSD=FULL         1.7097
1
            1.7513
1
1.7406
1
1.7212
1
1.7082
1
1.7314
1
1.7096
1
1.7070
1
 
CCSD(T)         2.1525
2
            1.7552
1
2.2438
2
2.3540
2
2.4397
2
2.4746
2
2.4047
2
2.4025
2
 
CCSD(T)=FULL         2.1508
2
            1.7551
1
2.2433
2
2.3497
2
2.4356
2
2.4684
2
2.3806
2
2.3935
2
 
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 daug-cc-pVTZ

average calculated bond lengths (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 2.5311
2
  2.5100
2
  2.4180
2
2.4174
2
    2.3512
2
density functional B3LYP 2.4143
2
  2.3824
2
  2.3137
2
2.3130
2
    2.3900
2
PBEPBE                 2.3987
2
Moller Plesset perturbation MP2 2.5133
2
  2.4853
2
  2.4103
2
2.4094
2
    2.3603
2
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.