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Comparison of levels of theory for S-Li


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 2.3842
4
PM3 2.1886
4
PM6 2.1300
4
composite G2 2.2320
4
G3 2.2320
4
G3B3 2.1816
6
G4 2.1672
6
CBS-Q 2.2320
4

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-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVTZ daug-cc-pVTZ
hartree fock HF 2.0010
6
2.2314
6
2.2162
6
2.2272
6
2.1933
6
2.1933
6
2.1905
6
2.1648
6
2.1648
6
2.1702
6
  2.1771
6
2.1971
6
2.1623
6
2.1614
6
2.1919
6
2.1634
6
2.1621
6
2.0997
5
2.1706
6
2.1697
6
2.2044
4
ROHF   2.4332
2
2.4043
2
2.4484
2
2.3687
2
2.3687
2
2.3662
2
2.3285
2
2.3285
2
    2.3635
2
2.3809
2
2.3259
2
2.3234
2
2.3611
2
2.3255
2
2.3241
2
2.1114
3
2.3430
2
2.3422
2
 
density functional LSDA 2.0107
6
2.1924
6
2.1924
6
2.1875
6
2.1648
6
2.1648
6
2.1637
6
2.1336
6
2.1336
6
2.1397
6
  2.1523
6
2.1669
6
2.1301
6
  2.1549
6
2.1282
6
  2.0807
5
2.1505
6
2.1508
6
 
BLYP 2.0301
6
2.2205
6
2.2155
6
2.2183
6
2.1940
6
2.1940
6
2.1951
6
2.1665
6
2.1665
6
2.1653
6
  2.1831
6
2.1956
6
2.1597
6
    2.1602
5
  2.1005
5
2.1710
6
2.1711
6
 
B1B95 2.0169
6
  2.2037
6
2.2082
6
2.1819
6
2.1819
6
2.1063
5
2.1515
6
2.1515
6
2.1543
6
  2.1649
6
2.1874
6
2.1470
6
    2.0648
4
  2.0991
3
2.0748
4
2.1607
6
 
B3LYP 2.0163
6
2.2101
6
2.2033
6
2.2048
6
2.1811
6
2.1811
6
2.1804
6
2.1526
6
2.1526
6
2.1538
6
  2.1646
6
2.1831
6
2.1475
6
2.1458
6
2.1776
6
2.1479
6
2.1466
6
2.0901
5
2.1613
6
2.1653
6
 
B3LYPultrafine   2.2102
6
    2.1810
6
2.1810
6
2.1802
6
2.1524
6
      2.1645
6
2.1831
6
2.1474
6
  2.1775
6
2.1476
6
  2.0900
5
2.1627
6
2.1607
6
 
B3PW91 2.0191
6
2.2208
6
2.2133
6
2.2135
6
2.1869
6
2.1869
6
2.1852
6
2.1552
6
2.1552
6
2.1651
6
  2.1702
6
2.1913
6
2.1532
6
        2.0938
5
2.1647
6
2.1646
6
 
mPW1PW91 2.0151
6
2.2164
6
2.2043
6
2.2094
6
2.1832
6
2.1832
6
2.1812
6
2.1506
6
2.1506
6
2.1607
6
  2.1653
6
2.1876
6
2.1488
6
  2.1798
6
2.1480
6
  2.0916
5
2.1620
6
2.1618
6
 
M06-2X 2.0063
6
2.2038
6
2.1969
6
2.1994
6
2.1765
6
2.1765
6
2.1713
6
2.1463
6
2.1463
6
2.1505
6
2.1446
6
2.1599
6
2.1814
6
2.1457
6
  2.1756
6
2.1434
6
  2.0900
5
2.1601
6
2.1602
6
 
PBEPBE 2.0273
6
2.2210
6
2.2165
6
2.2186
6
2.1913
6
2.1913
6
2.1912
6
2.1635
6
2.1635
6
2.1693
6
  2.1780
6
2.1952
6
2.1577
6
  2.1873
6
2.1571
6
  2.0949
5
2.1656
6
2.1654
6
 
PBEPBEultrafine   2.2207
6
    2.1911
6
2.1911
6
2.1910
6
2.1633
6
      2.1779
6
2.1948
6
2.1576
6
  2.1873
6
2.1570
6
  2.0948
5
2.1654
6
2.1652
6
 
PBE1PBE 2.0133
6
  2.2056
6
2.2064
6
2.1803
6
2.1803
6
2.1782
6
2.1481
6
2.1481
6
2.1577
6
  2.1620
6
2.1846
6
2.1458
6
  2.1766
6
2.1454
6
  2.0876
5
2.1584
6
2.1580
6
 
HSEh1PBE 2.0144
6
2.2143
6
2.2063
6
2.2069
6
2.1817
6
2.1817
6
2.1801
6
2.1498
6
2.1498
6
2.1590
6
  2.1636
6
2.1852
6
2.1474
6
  2.1777
6
2.1470
6
  2.0912
5
2.1614
6
2.1612
6
 
TPSSh   2.2200
6
2.2129
6
2.2126
6
2.1870
6
2.1870
6
2.1856
6
2.1538
6
      2.1739
6
2.1920
6
2.1534
6
  2.1840
6
2.1539
6
  2.0952
5
2.1649
6
2.1647
6
 
wB97X-D     2.2618
4
  2.1933
6
  2.2005
6
  2.1798
6
    2.1905
6
2.2005
6
2.1770
6
    2.1777
6
         
B97D3   2.2216
6
    2.1991
6
  2.1999
6
  2.1865
6
  2.1846
6
2.2030
6
  2.1839
6
    2.1842
6
        2.1850
6
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-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVTZ daug-cc-pVTZ
Moller Plesset perturbation MP2 2.0180
6
2.2459
6
2.2263
6
2.2471
6
2.1951
5
2.1943
6
2.1939
6
  2.1597
6
2.1821
6
  2.1815
6
2.2111
6
2.1742
6
2.1717
6
2.2131
6
2.1791
6
2.1747
6
2.1072
5
2.1801
6
2.1768
6
 
MP2=FULL 2.0176
6
2.2452
6
2.2247
6
2.2431
6
2.1862
6
2.1862
6
2.1842
6
2.1538
6
2.1538
6
2.1525
6
  2.1797
6
2.2045
6
2.1534
6
2.1496
6
2.1756
6
2.1481
6
2.1509
6
2.0954
5
2.1625
6
2.1677
6
 
ROMP2 2.1796
2
  2.3984
2
2.4583
2
2.3505
2
2.3505
2
2.3495
2
2.3070
2
2.3070
2
2.3451
2
  2.3600
2
2.3856
2
2.3336
2
  2.3805
2
    2.1164
3
2.3357
2
2.3322
2
 
MP3         2.1887
6
  2.1882
6
        2.1785
6
2.2068
6
2.1684
6
        2.1029
5
2.1765
6
2.1731
6
 
MP3=FULL         2.1807
6
  2.1784
6
        2.1771
6
2.2005
6
2.1487
6
        2.0895
5
2.1587
6
2.1643
6
 
MP4   2.2505
6
    2.1952
6
      2.1589
6
    2.1833
6
2.2142
6
2.1740
6
  2.2169
6
2.1793
6
  2.1092
5
2.1790
6
2.1736
6
 
MP4=FULL   2.2497
6
    2.1874
6
      2.1534
6
      2.2079
6
2.1543
6
  2.1730
6
2.1470
6
  2.0904
5
2.1457
6
2.1584
6
 
B2PLYP 2.0152
6
2.2193
6
2.2078
6
2.2158
6
2.1830
6
2.1830
6
2.1829
6
2.1535
6
2.1535
6
2.1634
6
  2.1694
6
2.1896
6
2.1523
6
  2.1864
6
2.1558
6
  2.0959
5
2.1670
6
2.1655
6
 
B2PLYP=FULL 2.0151
6
2.2190
6
2.2075
6
2.2148
6
2.1803
6
2.1803
6
2.1797
6
2.1515
6
2.1515
6
2.1493
6
  2.1688
6
2.1874
6
2.1468
6
  2.1745
6
2.1459
6
  2.0898
5
2.1616
6
2.1607
6
 
B2PLYP=FULLultrafine         2.1802
6
              2.1872
6
2.1467
6
    2.1457
6
         
Configuration interaction CID   2.2429
6
2.2207
6
2.2457
6
2.1885
6
    2.1539
6
                    2.1006
5
2.1737
6
2.1709
6
 
CISD   2.2457
6
2.2230
6
2.2484
6
2.1899
6
    2.1551
6
                    2.1011
5
2.1739
6
2.1713
6
 
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-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVTZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   2.2499
6
2.2275
6
2.2570
6
2.1930
6
2.1930
6
2.1925
6
2.1573
6
2.1573
6
2.1778
6
  2.1818
6
2.2105
6
2.1692
6
  2.2118
6
2.1739
6
  2.1037
5
2.1766
6
2.1736
6
 
QCISD(T)         2.1962
6
            2.1847
6
2.2149
6
2.1735
6
  2.2172
6
2.1786
6
  2.1086
5
2.1782
6
2.1730
6
 
QCISD(T)=FULL         2.1884
6
  2.1861
6
          2.2087
6
2.1539
6
2.1460
6
2.1730
6
2.1462
6
2.1463
6
    2.0120
4
 
QCISD(TQ)         2.1946
6
  2.1943
6
          2.2133
6
2.1726
6
2.2067
4
2.2161
6
2.1777
6
2.2092
4
2.1136
3
2.2146
4
2.1721
6
 
QCISD(TQ)=FULL         2.1867
6
  2.2178
4
          2.2071
6
2.1912
4
2.3050
2
2.1724
6
2.1843
4
2.3019
2
2.0888
5
2.0932
3
2.1945
4
 
Coupled Cluster CCD   2.2448
6
2.2227
6
2.2477
6
2.1897
6
2.1897
6
2.1893
6
2.1545
6
2.1545
6
2.1759
6
  2.1796
6
2.2071
6
2.1674
6
  2.2101
6
2.1723
6
  2.1025
5
2.1758
6
2.1727
6
 
CCSD         2.1916
6
        2.1772
5
  2.1812
6
2.2093
6
2.1685
6
2.1644
6
2.2112
6
2.1733
6
2.1668
6
2.1033
5
2.1762
6
2.1733
6
 
CCSD=FULL         2.1839
6
        2.1447
5
  2.1798
6
2.2028
6
2.1488
6
2.1429
6
2.1686
6
2.1422
6
2.1430
6
2.0897
5
2.1585
6
2.1644
6
 
CCSD(T)         2.1954
6
            2.1843
6
2.2141
6
2.1732
6
2.1694
6
2.2166
6
2.1782
6
2.1719
6
2.1082
5
2.1779
6
2.1726
6
 
CCSD(T)=FULL         2.1875
6
            2.1828
6
2.2078
6
2.1533
6
2.1459
6
2.1726
6
2.1460
6
2.1462
6
2.0894
5
2.1448
6
2.1576
6
 
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-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVTZ 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 2.2354
6
2.2004
6
2.1941
6
2.1644
6
2.2429
6
2.2301
6
    2.1704
6
density functional B3LYP 2.2404
6
2.2098
6
2.2019
6
2.1785
6
2.2277
6
2.2144
6
    2.1640
6
PBEPBE                 2.1681
6
Moller Plesset perturbation MP2 2.2573
6
2.2076
6
2.2123
6
2.1666
6
2.2544
6
2.2501
6
    2.1766
6
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.