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Comparison of levels of theory for Br-P


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 2.0949
4
PM3 2.1290
4
PM6 2.1347
4
composite G2 2.1811
5
G3 2.1895
5
G3B3 2.2235
5
G4 2.2097
5
CBS-Q 2.1669
5

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 2.2115
4
2.4644
4
2.1572
4
2.4464
4
2.1759
4
2.1759
4
2.1775
4
2.1876
4
2.1876
4
2.1574
4
2.0310
1
2.1910
4
2.1931
4
2.1781
4
2.1741
4
2.1961
4
2.1789
4
2.1741
4
2.0585
1
2.1789
4
ROHF   2.3330
1
2.0361
1
2.2557
1
2.0528
1
2.0528
1
2.0566
1
2.0587
1
2.0587
1
  2.0404
1
2.0609
1
2.0598
1
2.0456
1
2.0419
1
2.0660
1
2.0474
1
2.0421
1
2.0670
1
2.0473
1
density functional LSDA 2.2597
3
  2.1906
3
2.3356
3
2.2206
3
2.2206
3
2.2210
3
2.2393
3
2.2393
3
2.1965
3
  2.2376
3
2.2413
3
2.2233
3
  2.2423
3
2.2232
3
     
BLYP 2.2687
4
2.4071
4
2.2086
4
2.3644
4
2.2441
4
2.2375
4
2.2402
4
2.2579
4
2.2579
4
2.2143
4
2.0783
1
2.2564
4
2.2566
4
2.2406
4
  2.1027
1
2.0838
1
  2.1032
1
2.0838
1
B1B95 2.2211
4
2.0220
1
2.1518
4
2.2975
4
2.1735
4
2.1735
4
2.1745
4
2.1877
4
2.1877
4
2.1533
4
2.0224
1
2.1874
4
2.1902
4
2.1750
4
  2.2415
3
2.1766
4
    2.0277
1
B3LYP 2.2425
4
2.3746
4
2.1803
4
2.3292
4
2.2061
4
2.2061
4
2.2080
4
2.2221
4
2.2221
4
2.1842
4
2.0488
1
2.2217
4
2.2234
4
2.2078
4
2.2036
4
2.2253
4
2.2083
4
2.2036
4
2.0730
1
2.0542
1
B3LYPultrafine   2.2552
1
    2.2060
4
2.0659
1
2.0685
1
2.0693
1
  2.0391
1
2.0488
1
2.0685
1
2.2234
4
2.2077
4
  2.2252
4
2.2082
4
  2.0730
1
2.0542
1
B3PW91 2.2321
4
2.3584
4
2.1647
4
2.3111
4
2.1875
4
2.1875
4
2.1885
4
2.2016
4
2.2016
4
2.1662
4
2.0332
1
2.2013
4
2.2040
4
2.1885
4
  2.0559
1
2.1931
4
  2.0566
1
2.0385
1
mPW1PW91 2.2253
4
2.3507
4
2.1585
4
2.3032
4
2.1803
4
2.1803
4
2.1813
4
2.1939
4
2.1939
4
2.1593
4
2.0273
1
2.1940
4
2.1966
4
2.1815
4
  2.1987
4
2.1821
4
  2.0502
1
2.0327
1
M06-2X 2.2125
4
2.3492
4
2.1618
4
2.2952
4
2.1775
4
2.1775
4
2.1783
4
2.1913
4
2.1913
4
2.1556
4
2.1763
5
2.1933
4
2.1935
4
2.1837
4
  2.1963
4
2.1843
4
  2.0472
1
2.0311
1
PBEPBE 2.2482
4
2.3794
4
2.1817
4
2.3337
4
2.2062
4
2.2062
4
2.2080
4
2.2243
4
2.2243
4
2.1841
4
2.1220
2
2.2228
4
2.2240
4
2.2084
4
  2.2256
4
2.2090
4
  2.0764
1
2.0586
1
PBEPBEultrafine   2.2643
1
    2.2062
4
2.0690
1
2.0716
1
2.0737
1
  2.0425
1
2.0530
1
2.0723
1
2.2240
4
2.2083
4
  2.2256
4
2.2089
4
  2.0764
1
2.0586
1
PBE1PBE 2.2225
4
2.0264
1
2.1569
4
2.3017
4
2.1782
4
2.1782
4
2.1790
4
2.1921
4
2.1921
4
2.1574
4
2.0258
1
2.1921
4
2.1945
4
2.1797
4
  2.1966
4
2.1804
4
  2.0487
1
2.0314
1
HSEh1PBE 2.2242
4
2.3534
4
2.1596
4
2.3061
4
2.1813
4
2.1813
4
2.1824
4
2.1958
4
2.1958
4
2.1604
4
2.0281
1
2.1958
4
2.1980
4
2.1831
4
  2.2000
4
2.1838
4
  2.0512
1
2.0338
1
TPSSh 2.1336
1
2.2531
1
2.0400
1
2.2002
1
2.1942
5
2.0535
1
2.1954
4
2.0573
1
2.0573
1
2.1689
4
2.0385
1
2.0572
1
2.1324
2
2.1968
4
2.0396
1
2.0615
1
2.0438
1
2.0397
1
2.0622
1
2.0438
1
wB97X-D 2.1156
1
2.2186
1
2.1511
4
2.1701
1
2.1765
4
2.0376
1
2.1765
4
2.0386
1
2.1929
4
2.0145
1
2.0224
1
2.1941
4
2.1769
4
2.1793
4
2.0243
1
2.0452
1
2.1800
4
2.0244
1
2.0457
1
2.0282
1
B97D3 2.1547
1
2.3008
4
2.0545
1
2.2244
1
2.2206
4
2.0736
1
2.2211
4
2.0788
1
2.2370
4
2.0460
1
2.2155
4
2.2321
4
2.0781
1
2.2211
4
2.0571
1
2.0803
1
2.2172
4
2.0570
1
2.0809
1
2.2150
5
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 2.2254
4
2.3774
4
2.1593
4
2.3324
4
2.1901
4
2.1863
4
2.1872
4
2.1934
4
2.1888
4
2.1493
4
2.0173
1
2.1910
4
2.1978
4
2.1703
4
2.1575
4
2.2047
4
2.1697
4
2.1561
4
2.0501
1
2.0204
1
MP2=FULL 2.2250
4
2.3779
4
2.1576
4
2.3323
4
2.1848
4
2.1822
4
2.1833
4
2.1860
4
2.1860
4
2.1298
4
2.0126
1
2.1908
4
2.1963
4
2.1613
4
2.1532
4
2.2034
4
2.1544
4
2.1501
4
2.0495
1
2.0125
1
ROMP2 2.1193
1
2.0188
1
2.0188
1
2.2016
1
2.0369
1
2.0369
1
2.0389
1
2.0294
1
2.0294
1
2.0026
1
2.0091
1
2.0319
1
2.0360
1
2.0102
1
  2.0416
1
    2.0423
1
2.0113
1
MP3         2.2411
3
  2.2485
3
                         
MP3=FULL         2.2427
3
  2.2422
3
                         
MP4   2.4547
3
    2.2465
3
      2.2558
3
    2.2584
3
2.2654
3
2.2365
3
           
MP4=FULL   2.4552
3
    2.2417
3
      2.2537
3
      2.2637
3
2.2285
3
  2.2715
3
       
B2PLYP 2.1327
1
2.2535
1
2.0446
1
2.2090
1
2.2032
4
2.0625
1
2.0650
1
2.0630
1
2.0630
1
2.1722
4
2.0419
1
2.0637
1
2.0658
1
2.1985
4
  2.0698
1
2.1986
4
  2.0704
1
2.0470
1
B2PLYP=FULL 2.1326
1
2.2536
1
2.0443
1
2.2090
1
2.0617
1
2.0617
1
2.0643
1
2.0627
1
2.0627
1
2.0294
1
2.0404
1
2.0639
1
2.0655
1
2.0446
1
  2.0696
1
2.0447
1
  2.0702
1
2.0444
1
B2PLYP=FULLultrafine 2.1326
1
2.2536
1
2.0443
1
2.2090
1
2.1967
5
2.0617
1
2.0643
1
2.0627
1
2.0627
1
2.0294
1
2.0404
1
2.0639
1
2.2132
5
2.1918
5
  2.0696
1
2.1907
5
  2.0702
1
2.0444
1
Configuration interaction CID   2.3804
4
2.1588
4
2.3316
4
2.1839
4
    2.1880
4
    2.0222
1
  2.0516
1
2.0239
1
        2.0576
1
2.0243
1
CISD   2.3956
4
2.1606
4
2.3464
4
2.1858
4
    2.1902
4
    2.0263
1
  2.0577
1
2.0272
1
        2.0632
1
2.0274
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   2.4233
4
2.1748
4
2.3737
4
2.2084
4
2.2027
4
2.2041
4
2.2077
4
2.2077
4
2.1665
4
2.0484
1
2.2099
4
2.2169
4
2.1887
4
  2.2225
4
2.1870
4
  2.0922
1
2.0518
1
QCISD(T)         2.2063
4
    2.0812
1
    2.0529
1
2.2158
4
2.2216
4
2.1917
4
  2.2281
4
2.1916
4
  2.0945
1
2.0574
1
QCISD(T)=FULL         2.0796
1
  2.0828
1
      2.0480
1
  2.0849
1
2.0516
1
2.0397
1
2.0926
1
2.0485
1
2.0378
1
2.0939
1
2.0484
1
Coupled Cluster CCD   2.3943
4
2.1664
4
2.3452
4
2.1988
4
2.1936
4
2.1949
4
2.1976
4
2.1976
4
2.1611
4
2.0256
1
2.2000
4
2.2064
4
2.1781
4
  2.2119
4
2.1771
4
  2.0615
1
2.0285
1
CCSD         2.2044
4
2.0696
1
2.0723
1
2.0666
1
2.0666
1
2.1631
4
2.0390
1
2.2061
4
2.2125
4
2.1852
4
2.0292
1
2.2179
4
2.1835
4
2.0282
1
2.0788
1
2.0422
1
CCSD=FULL         2.1990
4
        2.1445
4
2.0339
1
2.0685
1
2.2110
4
2.1764
4
2.0261
1
2.0773
1
2.1687
4
2.0241
1
2.0782
1
2.0340
1
CCSD(T)         2.2042
4
2.0764
1
2.0791
1
2.0742
1
2.0740
1
2.0392
1
2.0472
1
2.2133
4
2.2192
4
2.1900
4
2.0376
1
2.2255
4
2.1889
4
2.0367
1
2.0867
1
2.0512
1
CCSD(T)=FULL         2.1998
4
          2.0425
1
2.2130
4
2.2176
4
2.0459
1
2.0346
1
2.2245
4
2.1770
4
2.0327
1
2.0865
1
2.0427
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 6.8861
4
  6.9372
4
  2.5611
4
2.5180
4
2.0353
1
  2.1741
4
ROHF             2.0445
1
  2.0401
1
density functional LSDA             2.0345
1
   
BLYP             2.0838
1
  2.0774
1
B1B95             2.0271
1
  2.0218
1
B3LYP 2.3567
4
  2.3572
4
  2.3974
4
2.3651
4
2.0537
1
  2.2066
4
B3LYPultrafine             2.0537
1
  2.0479
1
B3PW91             2.0376
1
  2.0322
1
mPW1PW91             2.0316
1
  2.0265
1
M06-2X             2.0310
1
  2.0262
1
PBEPBE             2.0581
1
  2.2068
4
PBEPBEultrafine             2.0581
1
  2.0522
1
PBE1PBE             2.0303
1
  2.0252
1
HSEh1PBE             2.0327
1
  2.0275
1
TPSSh             2.0429
1
  2.0376
1
wB97X-D 2.1796
1
  2.1820
1
  2.2206
1
2.1873
1
2.0272
1
  2.0223
1
B97D3             2.0623
1
  2.0551
1
Moller Plesset perturbation MP2 2.3554
4
  2.3562
4
  2.3921
4
2.3653
4
2.0168
1
  2.1610
4
MP2=FULL             2.0138
1
  2.0118
1
ROMP2             2.0086
1
  2.0052
1
MP3             2.0254
1
   
MP3=FULL             2.0228
1
   
MP4             2.0350
1
   
MP4=FULL             2.0320
1
   
B2PLYP             2.0454
1
  2.0402
1
B2PLYP=FULL             2.0444
1
  2.0398
1
B2PLYP=FULLultrafine             2.0444
1
  2.0398
1
Configuration interaction CID             2.0224
1
  2.0168
1
CISD             2.0256
1
  2.0203
1
Quadratic configuration interaction QCISD             2.0498
1
  2.0442
1
QCISD(T)             2.0544
1
  2.0495
1
QCISD(T)=FULL             2.0513
1
  2.0475
1
Coupled Cluster CCD             2.0262
1
  2.0219
1
CCSD             2.0402
1
  2.0352
1
CCSD=FULL             2.0368
1
  2.0336
1
CCSD(T)             2.0488
1
  2.0432
1
CCSD(T)=FULL             2.0453
1
  2.0417
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.