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Comparison of levels of theory for Li-Se


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 PM3 2.3903
1
PM6 2.5277
1
composite G2 2.2733
1
G3 2.3175
1
G3B3 2.2964
1
G4 2.2821
1
CBS-Q 2.2732
1

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-pVDZ daug-cc-pVTZ
hartree fock HF 2.1770
1
2.3485
1
2.2906
1
2.3086
1
2.2725
1
2.2725
1
2.3139
1
2.2973
1
2.2973
1
2.2706
1
2.2980
1
2.3159
1
2.3182
1
2.3001
1
2.2995
1
2.3194
1
2.3018
1
2.3000
1
2.3171
1
2.3018
1
ROHF   2.3474
1
2.2889
1
2.3075
1
2.2713
1
2.2713
1
2.3125
1
2.2962
1
2.2962
1
  2.2971
1
2.3145
1
2.3167
1
2.2984
1
2.2978
1
2.3180
1
2.3004
1
2.2981
1
2.3157
1
2.3004
1
density functional BLYP 2.1822
1
2.3290
1
2.2776
1
2.2904
1
2.2624
1
2.2624
1
2.3083
1
2.2921
1
2.2921
1
2.2594
1
2.2926
1
2.3131
1
2.3087
1
2.2925
1
  2.3140
1
2.2926
1
  2.3098
1
2.2927
1
B1B95 2.1736
1
2.2677
1
2.2677
1
2.2851
1
2.2520
1
2.2520
1
2.2928
1
2.2759
1
2.2759
1
2.2462
1
2.2762
1
2.2954
1
2.2977
1
2.2770
1
  2.2996
1
2.2774
1
  2.2955
1
2.2774
1
B3LYP 2.1723
1
2.3206
1
2.2677
1
2.2835
1
2.2528
1
2.2528
1
2.2952
1
2.2788
1
2.2788
1
2.2476
1
2.2792
1
2.2995
1
2.2973
1
2.2797
1
2.2785
1
2.3010
1
2.2801
1
2.2792
1
2.2967
1
2.2802
1
B3LYPultrafine   2.3206
1
    2.2528
1
2.2528
1
2.2952
1
2.2788
1
  2.2476
1
2.2792
1
2.2995
1
2.2973
1
2.2797
1
  2.3010
1
2.2801
1
  2.2967
1
2.2802
1
B3PW91 2.1775
1
2.3318
1
2.2760
1
2.2912
1
2.2581
1
2.2581
1
2.2985
1
2.2816
1
2.2816
1
2.2528
1
2.2813
1
2.3024
1
2.3045
1
2.2823
1
  2.3049
1
2.2823
1
  2.3012
1
2.2824
1
mPW1PW91 2.1746
1
2.3287
1
2.2729
1
2.2893
1
2.2558
1
2.2558
1
2.2958
1
2.2778
1
2.2778
1
2.2499
1
2.2777
1
2.2984
1
2.3016
1
2.2787
1
  2.3022
1
2.2789
1
  2.2984
1
2.2791
1
M06-2X 2.1644
1
2.3244
1
2.2714
1
2.2855
1
2.2549
1
2.2549
1
2.2940
1
2.2777
1
2.2777
1
2.2510
1
2.2778
1
2.2964
1
2.2984
1
2.2792
1
  2.3001
1
2.2793
1
  2.2960
1
2.2794
1
PBEPBE 2.1812
1
2.3322
1
2.2782
1
2.2916
1
2.2604
1
2.2604
1
2.3035
1
2.2853
1
2.2853
1
2.2559
1
2.2854
1
2.3069
1
2.3077
1
2.2860
1
  2.3094
1
2.2860
1
  2.3052
1
2.2861
1
PBEPBEultrafine   2.3322
1
    2.2604
1
2.2604
1
2.3035
1
2.2853
1
  2.2559
1
2.2854
1
2.3069
1
2.3077
1
2.2860
1
  2.3094
1
2.2860
1
  2.3052
1
2.2861
1
PBE1PBE 2.1724
1
2.2709
1
2.2709
1
2.2871
1
2.2531
1
2.2531
1
2.2931
1
2.2752
1
2.2752
1
2.2470
1
2.2752
1
2.2956
1
2.2991
1
2.2764
1
  2.2991
1
2.2767
1
  2.2952
1
2.2768
1
HSEh1PBE 2.1734
1
2.3271
1
2.2723
1
2.2883
1
2.2550
1
2.2550
1
2.2951
1
2.2780
1
2.2780
1
2.2491
1
2.2779
1
2.2988
1
2.3008
1
2.2791
1
  2.3014
1
2.2794
1
  2.2971
1
2.2795
1
TPSSh 2.1804
1
2.3343
1
2.2785
1
2.2932
1
2.2605
1
2.2605
1
2.3010
1
2.2831
1
2.2831
1
2.2555
1
2.2829
1
2.3039
1
2.3065
1
2.2833
1
2.2834
1
2.3075
1
2.2838
1
2.2839
1
2.3035
1
2.2840
1
wB97X-D 2.1802
1
2.3467
1
2.2895
1
2.3059
1
2.2707
1
2.2707
1
2.3157
1
2.3007
1
2.3007
1
2.2674
1
2.3012
1
2.3206
1
2.3194
1
2.3022
1
2.2999
1
2.3230
1
2.3030
1
2.3002
1
2.3203
1
2.3030
1
B97D3 2.2066
1
2.3526
1
2.2974
1
2.3074
1
2.2800
1
2.2800
1
2.3275
1
2.3119
1
2.3119
1
2.2811
1
2.3128
1
2.3321
1
2.3268
1
2.3117
1
2.3109
1
2.3324
1
2.3121
1
2.3119
1
2.3287
1
2.3122
1
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-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 2.1812
1
2.3514
1
2.2954
1
2.3174
1
2.2809
1
2.2809
1
2.3240
1
2.3015
1
2.3015
1
2.2743
1
2.3023
1
2.3142
1
2.3226
1
2.2940
1
2.2850
1
2.3344
1
2.2978
1
2.2878
1
2.3328
1
2.2979
1
MP2=FULL 2.1813
1
2.3512
1
2.2940
1
2.3163
1
2.2709
1
2.2709
1
2.3112
1
2.2898
1
2.2898
1
2.2349
1
2.2797
1
2.3122
1
2.3180
1
2.2728
1
2.2646
1
2.3003
1
2.2659
1
2.2656
1
2.2874
1
2.2645
1
ROMP2 2.1797
1
2.2940
1
2.2940
1
2.3171
1
2.2803
1
2.2803
1
2.3234
1
2.3010
1
2.3010
1
2.2739
1
2.3019
1
2.3136
1
2.3218
1
2.2940
1
  2.3340
1
    2.3324
1
2.2984
1
B2PLYP 2.1744
1
2.3283
1
2.2739
1
2.2927
1
2.2593
1
2.2593
1
2.3016
1
2.2829
1
2.2829
1
2.2536
1
2.2839
1
2.2961
1
2.3030
1
2.2816
1
  2.3089
1
2.2838
1
  2.3060
1
2.2839
1
B2PLYP=FULL 2.1744
1
2.3283
1
2.2732
1
2.2924
1
2.2561
1
2.2561
1
2.2970
1
2.2791
1
2.2791
1
2.2415
1
2.2768
1
2.3000
1
2.3015
1
2.2751
1
  2.2983
1
2.2739
1
  2.2924
1
2.2735
1
B2PLYP=FULLultrafine 2.1744
1
2.3283
1
2.2732
1
2.2924
1
2.2561
1
2.2561
1
2.2970
1
2.2791
1
2.2791
1
2.2415
1
2.2768
1
2.3000
1
2.3015
1
2.2751
1
  2.2983
1
2.2739
1
  2.2924
1
2.2735
1
Configuration interaction CID   2.3534
1
2.2948
1
2.3202
1
2.2787
1
    2.2979
1
    2.2969
1
  2.3214
1
2.2909
1
        2.3301
1
2.2940
1
CISD   2.3561
1
2.2955
1
2.3224
1
2.2793
1
    2.2990
1
    2.2973
1
  2.3222
1
2.2911
1
        2.3306
1
2.2940
1
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-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   2.3582
1
2.2973
1
2.3243
1
2.2810
1
2.2810
1
2.3241
1
2.3009
1
2.3009
1
2.2726
1
2.3001
1
2.3166
1
2.3242
1
2.2931
1
  2.3361
1
2.2964
1
  2.3343
1
2.2964
1
QCISD(T)         2.2830
1
    2.3022
1
    2.3025
1
2.3182
1
2.3265
1
2.2952
1
  2.3395
1
2.2992
1
  2.3379
1
2.2999
1
QCISD(T)=FULL         2.2725
1
  2.3140
1
      2.2812
1
  2.3220
1
2.2743
1
2.2658
1
2.3023
1
2.2680
1
2.2665
1
2.2857
1
2.2662
1
Coupled Cluster CCD   2.3541
1
2.2959
1
2.3211
1
2.2799
1
2.2799
1
2.3228
1
2.2997
1
2.2997
1
2.2714
1
2.2994
1
2.3154
1
2.3226
1
2.2926
1
  2.3348
1
2.2959
1
  2.3331
1
2.2960
1
CCSD         2.2807
1
2.2807
1
2.3237
1
2.3006
1
2.3006
1
2.2723
1
2.2999
1
2.3164
1
2.3238
1
2.2930
1
2.2837
1
2.3357
1
2.2963
1
2.2862
1
2.3339
1
2.2963
1
CCSD=FULL         2.2713
1
        2.2316
1
2.2793
1
2.3149
1
2.3195
1
2.2726
1
2.2638
1
2.2983
1
2.2651
1
2.2642
1
2.2822
1
2.2637
1
CCSD(T)         2.2827
1
2.2829
1
2.3261
1
2.3020
1
2.3020
1
2.2746
1
2.3024
1
2.3182
1
2.3262
1
2.2951
1
2.2865
1
2.3395
1
2.2991
1
2.2889
1
2.3376
1
2.2998
1
CCSD(T)=FULL         2.2724
1
          2.2811
1
2.3165
1
2.3218
1
2.2743
1
2.2657
1
2.3020
1
2.2679
1
2.2665
1
2.2854
1
2.2661
1
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-pVDZ 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 2.3581
1
  2.3338
1
  2.3849
1
2.3721
1
2.2940
1
  2.2985
1
ROHF             2.2940
1
  2.2976
1
density functional LSDA             2.2548
1
   
BLYP             2.2926
1
  2.2922
1
B1B95             2.2762
1
  2.2763
1
B3LYP 2.3602
1
  2.3389
1
  2.3641
1
2.3543
1
2.2785
1
  2.2795
1
B3LYPultrafine             2.2785
1
  2.2795
1
B3PW91             2.2815
1
  2.2822
1
mPW1PW91             2.2776
1
  2.2784
1
M06-2X             2.2788
1
  2.2807
1
PBEPBE             2.2863
1
  2.2856
1
PBEPBEultrafine             2.2863
1
  2.2856
1
PBE1PBE             2.2752
1
  2.2760
1
HSEh1PBE             2.2780
1
  2.2787
1
TPSSh             2.2830
1
  2.2835
1
wB97X-D 2.3556
1
  2.3345
1
  2.3914
1
2.3803
1
2.3010
1
  2.3012
1
B97D3             2.3128
1
  2.3125
1
Moller Plesset perturbation MP2 2.3817
1
  2.3453
1
  2.3844
1
2.3761
1
2.2558
1
  2.2962
1
MP2=FULL             2.2718
1
  2.2872
1
ROMP2             2.2583
1
  2.2958
1
MP3             2.2582
1
   
MP3=FULL             2.2717
1
   
MP4             2.2549
1
   
MP4=FULL             2.2724
1
   
B2PLYP             2.2934
1
  2.2815
1
B2PLYP=FULL             2.2734
1
  2.2794
1
B2PLYP=FULLultrafine             2.2734
1
  2.2794
1
Configuration interaction CID             2.2579
1
  2.2924
1
CISD             2.2571
1
  2.2926
1
Quadratic configuration interaction QCISD             2.2567
1
  2.2956
1
QCISD(T)             2.2560
1
  2.2979
1
QCISD(T)=FULL             2.2731
1
  2.2890
1
Coupled Cluster CCD             2.2574
1
  2.2949
1
CCSD             2.2569
1
  2.2955
1
CCSD=FULL             2.2713
1
  2.2871
1
CCSD(T)             2.2561
1
  2.2978
1
CCSD(T)=FULL             2.2730
1
  2.2889
1
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.