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Comparison of levels of theory for O-B


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 AM1 1.2209
21
PM3 1.2714
15
PM6 1.2572
25
composite G2 1.2423
13
G3 1.2423
13
G3B3 1.2515
19
G3MP2 1.2422
6
G4 1.2591
22
CBS-Q 1.2410
13

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 cc-pCVDZ cc-pCVTZ cc-pCVQZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.2524
23
1.2714
25
1.2714
25
1.2623
25
1.2537
27
1.2502
25
1.2502
25
1.2458
25
1.2459
25
1.2457
25
1.2268
14
1.2483
25
1.2503
25
1.2474
25
1.2512
23
1.2658
25
1.2476
25
1.2505
21
1.1847
1
1.1818
1
1.1794
1
1.2508
8
1.2480
27
ROHF 1.1801
1
1.2575
5
1.2575
5
1.2397
3
1.2323
5
1.2323
5
1.2328
5
1.2262
5
1.2202
3
1.1796
1
1.1780
1
1.1821
1
1.2301
5
1.2296
5
1.2213
3
1.2271
3
1.2242
3
1.2214
3
1.1831
1
1.1801
1
1.1779
1
   
density functional LSDA 1.2884
16
1.2923
16
1.2923
16
1.2840
16
1.2710
16
1.2708
16
1.2713
16
1.2647
16
1.2649
16
1.2657
16
1.2002
2
1.2330
4
1.2705
16
1.2667
16
1.2312
1
1.2713
16
1.2506
9
1.2301
1
1.2093
1
1.2041
1
1.2016
1
   
BLYP 1.2976
23
1.2978
25
1.2979
25
1.2902
25
1.2799
27
1.2783
25
1.2782
25
1.2738
25
1.2740
25
1.2734
25
1.2587
10
1.2652
12
1.2783
25
1.2750
25
  1.2628
16
1.2636
12
  1.2197
1
1.2146
1
1.2125
1
1.2774
8
1.2736
8
B1B95 1.2783
25
1.2826
25
1.2826
25
1.2745
25
1.2632
25
1.2635
25
1.2629
25
1.2588
25
1.2590
25
1.2591
25
1.2445
10
1.2505
12
1.2634
25
1.2596
25
1.2080
2
1.2671
24
1.2695
20
1.2075
2
1.2034
1
1.1990
1
1.1968
1
1.2600
4
1.2595
8
B3LYP 1.2825
25
1.2858
25
1.2858
25
1.2776
25
1.2677
27
1.2663
25
1.2662
25
1.2618
25
1.2674
23
1.2616
25
1.2419
14
1.2643
25
1.3133
25
1.2631
25
1.2668
21
1.2675
25
1.2634
25
1.2669
21
1.2065
1
1.2021
1
1.1998
1
1.2665
8
1.2627
8
B3LYPultrafine   1.2716
12
    1.2665
25
1.2552
12
1.2541
12
1.2518
12
  1.2487
10
1.2476
10
1.2540
12
1.2558
12
1.2523
12
  1.2570
12
1.2639
27
  1.2065
1
1.2021
1
1.1998
1
1.2665
8
1.2627
8
B3PW91 1.2874
21
1.2859
25
1.2859
25
1.2773
25
1.3131
25
1.2659
25
1.2654
25
1.2614
25
1.2671
23
1.2617
25
1.2473
10
1.2535
12
1.2660
25
1.2627
25
  1.2512
16
1.2523
12
  1.2065
1
1.2021
1
1.1998
1
1.2661
8
1.2624
8
mPW1PW91 1.2840
23
1.2835
25
1.2883
23
1.2749
25
1.2637
25
1.2636
25
1.2630
25
1.2591
25
1.2592
25
1.2593
25
1.2452
10
1.2513
12
1.2636
25
1.2604
25
  1.2540
20
1.2553
16
  1.2040
1
1.1999
1
1.1975
1
1.2641
8
1.2603
8
M06-2X 1.2578
12
1.2664
12
1.2811
27
1.2592
12
1.2607
21
1.2520
12
1.2506
12
1.2486
12
1.2487
12
1.2484
12
1.2573
27
1.2499
12
1.2529
12
1.2488
12
  1.2543
12
1.2490
12
  1.2010
1
1.1972
1
1.1950
1
1.2644
8
1.2595
8
PBEPBE 1.3007
21
1.2977
25
1.3027
21
1.2946
21
1.2776
25
1.2774
25
1.2773
25
1.2729
25
1.2730
25
1.2730
25
1.2528
14
1.2643
12
1.2777
25
1.2740
25
1.2235
2
1.2731
16
1.2622
18
1.2230
2
1.2196
1
1.2144
1
1.2123
1
1.2768
8
1.2728
8
PBEPBEultrafine   1.2826
12
    1.2609
16
1.2656
12
1.2647
12
1.2621
12
  1.2595
10
1.2580
10
1.2643
12
1.2665
12
1.2626
12
  1.2677
12
1.2629
12
  1.2197
1
1.2144
1
1.2123
1
1.2768
8
1.2728
8
PBE1PBE 1.2632
12
1.2705
12
1.2705
12
1.2618
12
1.2644
25
1.2536
12
1.2529
12
1.2501
12
1.2502
12
1.2496
12
1.2460
10
1.2521
12
1.2544
12
1.2507
12
  1.2555
12
1.2509
12
  1.2049
1
1.2007
1
1.1984
1
1.2649
8
1.2610
8
HSEh1PBE 1.2635
12
1.2821
21
1.2703
12
1.2616
12
1.2626
21
1.2533
12
1.2615
21
1.2500
12
1.2500
12
1.2493
12
1.2458
10
1.2520
12
1.2542
12
1.2592
21
  1.2553
12
1.2508
12
  1.2047
1
1.2005
1
1.1981
1
1.2647
8
1.2609
8
TPSSh 1.2700
10
1.2764
12
1.2764
12
1.2681
12
1.2730
27
1.2595
12
1.2729
27
1.2561
12
1.2541
10
1.2696
25
1.2514
10
1.2578
12
1.2604
12
1.2702
27
1.2518
10
1.2614
12
1.2563
12
1.2520
10
1.2130
1
1.2082
1
1.2059
1
1.2704
8
1.2661
8
wB97X-D 1.2644
12
1.2690
12
1.2839
27
1.2609
12
1.2667
27
1.2533
12
1.2668
27
1.2500
12
1.2628
27
1.2494
12
1.2458
10
1.2648
27
1.2675
27
1.2642
27
1.2443
8
1.2550
12
1.2645
27
1.2480
12
1.2053
1
1.2014
1
1.1988
1
1.2644
8
1.2611
8
B97D3 1.2787
10
1.2995
25
1.2794
10
1.2711
10
1.2808
25
1.2630
10
1.2803
25
1.2601
10
1.2766
25
1.2592
10
1.2747
27
1.2767
25
1.2641
10
1.2778
25
1.2578
10
1.2653
10
1.2759
25
1.2579
10
1.2227
1
1.2168
1
1.2146
1
1.2761
8
1.2757
27
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-pCVDZ cc-pCVTZ cc-pCVQZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.2883
21
1.3003
25
1.3003
25
1.2954
25
1.2791
27
1.2767
25
1.2783
25
1.2733
27
1.2706
25
1.2680
23
1.2558
10
1.2742
25
1.2781
25
1.2759
23
1.2566
16
1.2827
25
1.2631
18
1.2573
16
1.2154
1
1.2113
1
1.2074
1
1.2814
8
1.2739
8
MP2=FULL 1.2886
23
1.3001
25
1.3036
21
1.2987
21
1.3220
25
1.2750
25
1.2764
25
1.2691
25
1.2744
23
1.2672
21
1.2525
10
1.2632
12
1.2773
25
1.2720
21
1.2529
16
1.2812
24
1.2619
19
1.2532
16
1.2145
1
1.2090
1
1.2043
1
1.2779
8
1.2674
8
ROMP2 1.3271
3
1.3429
3
1.3429
3
1.3383
3
1.3024
3
1.3024
3
1.3047
3
1.2933
3
1.2933
3
1.2929
3
1.2118
1
1.2184
1
1.3028
3
1.2980
3
  1.3098
3
    1.2200
1
1.2153
1
1.2115
1
   
MP3         1.2653
17
  1.2697
19
      1.1924
2
1.2301
4
1.2347
4
1.2288
4
        1.2007
1
1.1958
1
1.1915
1
   
MP3=FULL   1.2594
4
1.2594
4
1.2526
4
1.2684
19
1.2340
4
1.2693
19
1.2253
4
1.2257
4
1.2213
4
1.1900
2
1.2287
4
1.2341
4
1.2239
4
  1.2367
4
1.2238
4
  1.1999
1
1.1937
1
1.1887
1
   
MP4 1.2530
1
1.3260
13
    1.3563
17
    1.2160
2
1.2902
13
1.2505
1
1.2135
2
1.2493
4
1.2530
4
1.2626
14
  1.2576
4
1.2490
4
  1.2212
1
1.2165
1
1.2122
1
   
MP4=FULL   1.2828
4
    1.2511
4
      1.2440
4
  1.2107
2
  1.2523
4
1.2417
4
  1.2554
4
1.2418
4
  1.2203
1
1.2144
1
1.2092
1
   
B2PLYP 1.2687
12
1.2770
12
1.2770
12
1.2699
12
1.2691
21
1.2592
12
1.2606
14
1.2555
12
1.2556
12
1.2540
12
1.2510
10
1.2582
12
1.2605
12
1.2690
25
  1.2624
12
1.2569
12
  1.2126
1
1.2082
1
1.2054
1
1.2715
8
1.2667
8
B2PLYP=FULL 1.2687
12
1.2816
16
1.2770
12
1.2699
12
1.2632
16
1.2587
12
1.2631
16
1.2551
12
1.2552
12
1.2521
12
1.2501
10
1.2578
12
1.2602
12
1.2546
12
  1.2615
12
1.2549
12
  1.2123
1
1.2075
1
1.2045
1
1.2704
8
1.2649
8
B2PLYP=FULLultrafine 1.2687
12
1.2770
12
1.2770
12
1.2699
12
1.2701
28
1.2587
12
1.2586
12
1.2551
12
1.2552
12
1.2521
12
1.2501
10
1.2578
12
1.2705
28
1.2657
28
  1.2615
12
1.2661
28
  1.2123
1
1.2075
1
1.2045
1
1.2704
8
1.2649
8
Configuration interaction CID 1.2153
1
1.2885
21
1.2885
21
1.2831
21
1.3086
25
  1.2394
1
1.2603
21
1.2281
1
1.2299
1
1.2381
10
  1.2490
11
1.2416
11
        1.2004
1
1.1949
1
1.1906
1
1.2629
8
1.2548
8
CISD 1.2219
1
1.2918
21
1.2918
21
1.2861
21
1.3198
23
1.2047
1
1.2452
1
1.2621
21
1.2308
1
1.2319
1
1.2391
10
  1.2504
11
1.2427
11
        1.2049
1
1.1983
1
1.1937
1
1.2635
8
1.2521
4
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-pCVDZ cc-pCVTZ cc-pCVQZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.2291
1
1.2983
25
1.3031
21
1.2983
21
1.3211
25
1.2797
21
1.2808
21
1.2674
25
1.2525
20
1.2552
18
1.2502
10
1.2604
12
1.2816
21
1.2581
18
  1.2728
16
1.2594
14
  1.2163
1
1.2087
1
1.2036
1
1.2767
8
1.2677
8
QCISD(T) 1.2345
1
      1.2685
20
    1.2610
12
1.2429
1
1.2445
1
1.2545
10
1.2643
12
1.2699
18
1.2630
18
  1.2682
14
1.2586
14
  1.2206
1
1.2147
1
1.2100
1
1.2850
4
1.2721
8
QCISD(T)=FULL         1.2636
12
  1.2644
12
      1.2512
10
  1.2677
12
1.2553
12
1.2533
12
1.2688
12
1.2552
12
1.2533
12
1.2198
1
1.2125
1
1.2069
1
1.2769
8
1.2654
8
QCISD(TQ)         1.2452
4
  1.2460
4
      1.2048
2
  1.2457
4
1.2488
3
1.2046
2
1.2497
4
1.2108
2
1.2070
1
         
QCISD(TQ)=FULL         1.2439
4
  1.2442
4
      1.2022
2
  1.2450
4
1.2046
2
1.2015
2
1.2476
4
1.2046
2
1.2036
1
         
Coupled Cluster CCD 1.2179
1
1.2939
21
1.2939
21
1.2895
21
1.3293
21
1.2732
21
1.2742
21
1.2667
21
1.2503
18
1.2486
18
1.2461
10
1.2553
12
1.2745
21
1.2514
18
  1.2616
18
1.2503
16
  1.2044
1
1.1992
1
1.1949
1
1.2725
8
1.2642
8
CCSD         1.2600
20
1.2694
8
1.2701
8
1.2534
10
1.2659
8
1.2524
12
1.2483
10
1.2580
12
1.2669
16
1.2601
16
1.2436
8
1.2655
12
1.2561
12
1.2433
6
1.2114
1
1.2050
1
1.2004
1
1.2746
8
1.2660
8
CCSD=FULL         1.2586
12
        1.2457
12
1.2451
10
1.2567
12
1.2619
12
1.2491
12
1.2270
4
1.2625
12
1.2490
12
1.1969
2
1.2105
1
1.2028
1
1.1973
1
1.2711
8
1.2594
8
CCSD(T) 1.2321
1
      1.3186
21
1.2657
14
1.2633
10
1.2600
12
1.2568
11
1.2538
11
1.2535
10
1.2632
12
1.2686
18
1.2619
18
1.2571
18
1.2724
18
1.2632
18
1.2538
16
1.2180
1
1.2124
1
1.2078
1
1.2795
8
1.2713
8
CCSD(T)=FULL         1.2646
18
          1.2503
10
1.2619
12
1.2714
16
1.2600
16
1.2496
16
1.2735
16
1.2600
16
1.2479
14
1.2172
1
1.2102
1
1.2048
1
1.2760
8
1.2646
8
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-pCVDZ cc-pCVTZ cc-pCVQZ 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 1.2690
25
1.2578
25
1.2669
25
1.2533
25
1.2674
25
1.2671
25
    1.2506
27
ROHF                 1.1800
1
density functional LSDA                 1.2020
2
BLYP                 1.2605
10
B1B95 1.2486
6
1.2334
6
            1.2464
10
B3LYP 1.2929
23
1.2768
25
1.2856
25
1.2715
25
1.2834
25
1.2833
25
    1.2660
27
B3LYPultrafine                 1.2495
10
B3PW91                 1.2493
10
mPW1PW91                 1.2472
10
M06-2X                 1.2462
10
PBEPBE                 1.2758
27
PBEPBEultrafine                 1.2599
10
PBE1PBE                 1.2480
10
HSEh1PBE                 1.2478
10
TPSSh                 1.2534
10
wB97X-D 1.2704
12
1.2632
12
1.2679
12
1.2578
12
1.2665
12
1.2663
12
    1.2479
10
B97D3                 1.2595
10
Moller Plesset perturbation MP2 1.3064
25
1.2852
25
1.3016
25
1.2798
25
1.3029
25
1.3023
25
    1.2752
27
MP2=FULL                 1.2574
10
ROMP2                 1.2158
1
MP3                 1.1960
2
MP3=FULL                 1.1928
2
MP4                 1.2600
6
MP4=FULL                 1.2142
2
B2PLYP                 1.2539
10
B2PLYP=FULL                 1.2530
10
B2PLYP=FULLultrafine                 1.2530
10
Configuration interaction CID                 1.2424
10
CISD                 1.2434
10
Quadratic configuration interaction QCISD                 1.2550
10
QCISD(T)                 1.2594
10
QCISD(T)=FULL                 1.2562
10
QCISD(TQ)                 1.2088
2
QCISD(TQ)=FULL                 1.2054
2
Coupled Cluster CCD                 1.2506
10
CCSD                 1.2529
10
CCSD=FULL                 1.2498
10
CCSD(T)                 1.2584
10
CCSD(T)=FULL                 1.2553
10
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.