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Comparison of levels of theory for Br-Cl


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 2.0637
1
PM3 2.2674
3
PM6 2.4314
3
composite G2 2.1435
1
G3 2.1386
1
G3B3 2.3765
3
G3MP2 2.1386
1
G4 2.3560
3
CBS-Q 2.1282
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 2.1734
1
2.3168
1
2.1383
1
2.2897
1
2.3329
3
2.1435
1
2.1416
1
2.1461
1
2.1461
1
2.1162
1
2.1228
1
2.3356
3
2.1526
1
2.1290
1
2.1252
1
2.1507
1
2.1290
1
2.1251
1
2.1511
1
2.3121
3
ROHF         2.4288
2
                             
density functional LSDA 2.2107
1
2.3194
1
2.1361
1
2.3006
1
2.1520
1
2.1520
1
2.1506
1
2.1608
1
2.1608
1
2.1173
1
    2.1567
1
2.1327
1
  2.1542
1
       
BLYP 2.2539
1
2.3771
1
2.2031
1
2.3640
1
2.4131
3
2.2172
1
2.2171
1
2.2310
1
2.2310
1
2.1852
1
2.1932
1
2.2294
1
2.2260
1
2.2019
1
  2.2226
1
2.2013
1
  2.2214
1
2.2012
1
B1B95 2.2086
1
2.3274
1
2.1451
1
2.3059
1
2.1523
1
2.1556
1
2.1538
1
2.1638
1
2.1638
1
2.1239
1
  2.1600
1
2.1626
1
2.1360
1
  2.1567
1
2.1360
1
  2.1559
1
2.1360
1
B3LYP 2.2278
1
2.3499
1
2.1729
1
2.3326
1
2.1858
1
2.1858
1
2.1846
1
2.1956
1
2.1956
1
2.1541
1
2.1613
1
2.3860
3
2.1935
1
2.1696
1
2.1647
1
2.1905
1
2.1702
1
2.1658
1
2.1893
1
2.1689
1
B3LYPultrafine   2.3505
1
    2.1841
1
2.1841
1
2.1830
1
2.1943
1
  2.1524
1
2.1613
1
2.1950
1
2.1918
1
2.1684
1
  2.1889
1
2.3558
3
  2.1893
1
2.1689
1
B3PW91 2.2149
1
2.3350
1
2.1529
1
2.3137
1
2.1639
1
2.1639
1
2.1622
1
2.1713
1
2.1713
1
2.1321
1
2.1392
1
2.1709
1
2.1707
1
2.1466
1
  2.1681
1
2.1464
1
  2.1669
1
2.1463
1
mPW1PW91 2.0959
1
2.3281
1
2.1460
1
2.3058
1
2.1563
1
2.1563
1
2.1546
1
2.1630
1
2.1630
1
2.1248
1
2.1315
1
2.1630
1
2.1628
1
2.1398
1
  2.1605
1
2.1397
1
  2.1595
1
2.1396
1
M06-2X 2.1952
1
2.3254
1
2.3164
3
2.2959
1
2.3249
3
2.1525
1
2.1507
1
2.1603
1
2.1603
1
2.1232
1
2.3019
3
2.1639
1
2.1605
1
2.1387
1
  2.1586
1
2.1396
1
  2.1590
1
2.1394
1
PBEPBE 2.2319
1
2.3532
1
2.1703
1
2.3358
1
2.1827
1
2.1827
1
2.1817
1
2.1937
1
2.1937
1
2.1494
1
2.1584
1
2.1916
1
2.1898
1
2.1655
1
  2.1869
1
2.1651
1
  2.1854
1
2.1650
1
PBEPBEultrafine   2.3541
1
    2.1807
1
2.1807
1
2.1797
1
2.1922
1
  2.1475
1
2.1569
1
2.1916
1
2.1878
1
2.1641
1
  2.1849
1
2.1651
1
  2.1854
1
2.1650
1
PBE1PBE 2.2047
1
2.1425
1
2.1425
1
2.3051
1
2.3357
3
2.1525
1
2.1508
1
2.1597
1
2.1597
1
2.1209
1
2.1291
1
2.1608
1
2.1588
1
2.1360
1
  2.1565
1
2.1369
1
  2.1570
1
2.1368
1
HSEh1PBE 2.2064
1
2.4805
3
2.1456
1
2.3099
1
2.3407
3
2.1561
1
2.3380
3
2.1639
1
2.1639
1
2.1241
1
2.1326
1
2.1649
1
2.1628
1
2.3209
3
  2.1602
1
2.1403
1
  2.1607
1
2.1402
1
TPSSh 2.2220
1
2.3425
1
2.1600
1
2.3224
1
2.3557
3
2.1691
1
2.3524
3
2.1773
1
2.1773
1
2.3206
3
2.1451
1
2.1785
1
2.1768
1
2.3363
3
2.1488
1
2.1741
1
2.1530
1
2.1488
1
2.1744
1
2.1529
1
wB97X-D 2.2050
1
2.3199
1
2.3139
3
2.2972
1
2.3273
3
2.1518
1
2.3255
3
2.1592
1
2.3363
3
2.1225
1
2.1315
1
2.3343
3
2.3283
3
2.3135
3
2.1346
1
2.1572
1
2.3119
3
2.1345
1
2.1575
1
2.1387
1
B97D3 2.2453
1
2.5432
3
2.1787
1
2.3474
1
2.4084
3
2.1925
1
2.4047
3
2.2049
1
2.4191
3
2.1587
1
2.3808
3
2.4153
3
2.2001
1
2.3908
3
2.1716
1
2.1971
1
2.3858
3
2.1714
1
2.1975
1
2.3845
3
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 2.2004
1
2.3692
1
2.1537
1
2.3536
1
2.3078
3
2.1667
1
2.1657
1
2.3152
3
2.1682
1
2.1255
1
2.1329
1
2.3163
3
2.1731
1
2.1360
1
2.1244
1
2.1799
1
2.1387
1
2.1232
1
2.1802
1
2.1377
1
MP2=FULL 2.2003
1
2.3697
1
2.1532
1
2.3542
1
2.1724
1
2.1646
1
2.1636
1
2.1662
1
2.1662
1
2.1135
1
2.1252
1
2.1698
1
2.1726
1
2.1312
1
2.1211
1
2.1799
1
2.1312
1
2.1187
1
2.1800
1
2.1287
1
MP3         2.1779
1
  2.3234
3
      2.1455
1
2.1819
1
2.1863
1
2.1498
1
        2.1931
1
2.1506
1
MP3=FULL   2.3816
1
2.1645
1
2.3681
1
2.3210
3
2.1759
1
2.3226
3
2.1773
1
2.1773
1
2.1317
1
2.1395
1
2.1820
1
2.1859
1
2.1461
1
  2.1930
1
2.1451
1
  2.1930
1
2.1425
1
MP4   2.4909
3
    2.3345
3
      2.3419
3
  2.1523
1
2.1909
1
2.1940
1
2.1559
1
  2.2004
1
2.1576
1
  2.2007
1
2.1564
1
MP4=FULL   2.3939
1
    2.1825
1
      2.1870
1
  2.1450
1
  2.1934
1
2.1515
1
  2.2005
1
2.1514
1
  2.2003
1
2.1481
1
B2PLYP 2.2129
1
2.3561
1
2.1627
1
2.3387
1
2.3590
3
2.1750
1
2.1751
1
2.1825
1
2.1825
1
2.1413
1
2.1496
1
2.1839
1
2.1826
1
2.3292
3
  2.1837
1
2.1566
1
  2.1841
1
2.1562
1
B2PLYP=FULL 2.2129
1
2.3558
1
2.1625
1
2.3389
1
2.1753
1
2.1743
1
2.1744
1
2.1819
1
2.1819
1
2.1388
1
2.1472
1
2.1838
1
2.1824
1
2.1539
1
  2.1837
1
2.1544
1
  2.1840
1
2.1535
1
B2PLYP=FULLultrafine 2.2129
1
2.3562
1
2.1625
1
2.3389
1
2.3547
3
2.1743
1
2.1734
1
2.1819
1
2.1819
1
2.1388
1
2.1472
1
2.1838
1
2.3592
3
2.3290
3
  2.1837
1
2.3249
3
  2.1840
1
2.1535
1
Configuration interaction CID   2.3790
1
2.1557
1
2.3652
1
2.1676
1
    2.1672
1
2.1672
1
  2.1317
1
  2.1747
1
2.1344
1
        2.1766
1
2.1338
1
CISD   2.3841
1
2.1574
1
2.3709
1
2.1691
1
    2.1691
1
2.1691
1
  2.1329
1
  2.1765
1
2.1360
1
        2.1782
1
2.1349
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   2.3969
1
2.1687
1
2.3848
1
2.1905
1
2.1807
1
2.1797
1
2.1821
1
2.1821
1
2.1419
1
2.1462
1
2.1851
1
2.1897
1
2.1532
1
  2.1937
1
2.1513
1
  2.1939
1
2.1504
1
QCISD(T)         2.3529
3
    2.1923
1
    2.1547
1
2.1950
1
2.3567
3
2.3161
3
  2.3655
3
2.4385
2
  2.2040
1
2.1589
1
QCISD(T)=FULL         2.1864
1
  2.1858
1
      2.1476
1
  2.1980
1
2.1541
1
2.1402
1
2.2038
1
2.1522
1
2.1382
1
2.2037
1
2.1504
1
Coupled Cluster CCD   2.3897
1
2.1654
1
2.3769
1
2.1876
1
2.1778
1
2.1765
1
2.1785
1
2.1785
1
2.1392
1
2.1435
1
2.1815
1
2.1862
1
2.1477
1
  2.1903
1
2.1488
1
  2.1904
1
2.1479
1
CCSD         2.3492
3
2.1806
1
2.1796
1
2.1816
1
2.1816
1
2.1407
1
2.1459
1
2.1848
1
2.1895
1
2.1501
1
2.1360
1
2.1935
1
2.1511
1
2.1342
1
2.1937
1
2.1502
1
CCSD=FULL         2.1782
1
        2.1315
1
2.1390
1
2.1839
1
2.1887
1
2.1457
1
2.1320
1
2.1934
1
2.1438
1
2.1298
1
2.1932
1
2.1412
1
CCSD(T)         2.3516
3
2.1884
1
2.1880
1
2.1921
1
2.1921
1
2.1476
1
2.1546
1
2.1948
1
2.3553
3
2.3149
3
2.1436
1
2.3638
3
2.3143
3
2.1427
1
2.2040
1
2.1587
1
CCSD(T)=FULL         2.3491
3
          2.1475
1
2.1943
1
2.1980
1
2.1541
1
2.1401
1
2.2038
1
2.1521
1
2.1381
1
2.2037
1
2.1504
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 2.2644
1
  2.2661
1
  2.3103
1
2.2882
1
2.1279
1
  2.3106
3
density functional LSDA             2.1327
1
   
BLYP             2.2016
1
  2.1974
1
B1B95 2.3030
1
          2.1360
1
  2.1320
1
B3LYP 2.3226
1
  2.3227
1
  2.3603
1
2.3374
1
2.1691
1
  2.3504
3
B3LYPultrafine             2.1691
1
  2.1654
1
B3PW91             2.1463
1
  2.1424
1
mPW1PW91             2.1394
1
  2.1350
1
M06-2X             2.1400
1
  2.1371
1
PBEPBE             2.1652
1
  2.3478
3
PBEPBEultrafine             2.1652
1
  2.1607
1
PBE1PBE             2.1360
1
  2.1328
1
HSEh1PBE             2.1400
1
  2.1360
1
TPSSh             2.1530
1
  2.1491
1
wB97X-D 2.2850
1
  2.2858
1
  2.3260
1
2.3001
1
2.1385
1
  2.1349
1
B97D3             2.1774
1
  2.1720
1
Moller Plesset perturbation MP2 2.3351
1
  2.3364
1
  2.3680
1
2.3502
1
2.1347
1
  2.2747
3
MP2=FULL             2.1315
1
  2.1299
1
MP3             2.1485
1
  2.1458
1
MP3=FULL             2.1453
1
  2.1445
1
MP4             2.1548
1
  2.1517
1
MP4=FULL             2.1508
1
  2.1495
1
B2PLYP             2.1551
1
  2.1519
1
B2PLYP=FULL             2.1540
1
  2.1513
1
B2PLYP=FULLultrafine             2.1540
1
  2.1513
1
Configuration interaction CID             2.1334
1
  2.1297
1
CISD             2.1340
1
  2.1306
1
Quadratic configuration interaction QCISD             2.1489
1
  2.1462
1
QCISD(T)             2.1576
1
  2.1546
1
QCISD(T)=FULL             2.1537
1
  2.1523
1
Coupled Cluster CCD             2.1463
1
  2.1436
1
CCSD             2.1488
1
  2.1461
1
CCSD=FULL             2.1449
1
  2.1435
1
CCSD(T)             2.1576
1
  2.1545
1
CCSD(T)=FULL             2.1536
1
  2.1522
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.