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Comparison of levels of theory for Li-Br


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 2.0359
1
PM3 2.0867
3
PM6 2.6820
3
composite G2 2.1898
1
G3 2.2205
1
G3B3 2.3656
3
G3MP2 2.2205
1
G4 2.3516
3
CBS-Q 2.1963
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 2.0465
1
2.2409
1
2.1777
1
2.2230
1
2.3513
3
2.1893
1
2.2133
1
2.1944
1
2.1944
1
2.1809
1
2.1957
1
2.4009
3
2.2268
1
2.1980
1
2.1957
1
2.2252
1
2.1985
1
2.1958
1
2.2205
1
2.3600
3
ROHF         2.4323
2
                             
density functional LSDA 2.0415
1
2.2019
1
2.1371
1
2.1827
1
2.1492
1
2.1492
1
2.1732
1
2.1535
1
2.1535
1
2.1370
1
    2.1874
1
2.1536
1
  2.1789
1
       
BLYP 2.0592
1
2.2227
1
2.1624
1
2.2046
1
2.3534
3
2.1764
1
2.2060
1
2.1867
1
2.1867
1
2.1669
1
2.1890
1
2.2124
1
2.2126
1
2.1879
1
  2.2174
1
2.1880
1
  2.2094
1
2.1879
1
B1B95 2.0520
1
2.1582
1
2.1582
1
2.2029
1
2.1704
1
2.1704
1
  2.1751
1
2.1751
1
2.1604
1
2.1768
1
2.1994
1
2.2084
1
2.1771
1
  2.2076
1
2.1769
1
  2.2011
1
2.1769
1
B3LYP 2.0496
1
2.2170
1
2.1556
1
2.1987
1
2.1691
1
2.1691
1
2.1953
1
2.1765
1
2.1765
1
2.1590
1
2.1784
1
2.3765
3
2.2054
1
2.1782
1
2.1766
1
2.2072
1
2.1783
1
2.1768
1
2.2000
1
2.1783
1
B3LYPultrafine   2.2170
1
    2.1691
1
2.1691
1
2.1953
1
2.1765
1
  2.1590
1
2.1784
1
2.2018
1
2.2054
1
2.1782
1
  2.2072
1
2.3410
3
  2.2000
1
2.1783
1
B3PW91 2.0550
1
2.2284
1
2.1645
1
2.2081
1
2.1752
1
2.1752
1
2.1992
1
2.1795
1
2.1795
1
2.1649
1
2.1806
1
2.2050
1
2.2134
1
2.1810
1
  2.2115
1
2.1806
1
  2.2047
1
2.1808
1
mPW1PW91 2.0519
1
2.2251
1
2.1613
1
2.2056
1
2.1725
1
2.1725
1
2.1967
1
2.1754
1
2.1754
1
2.1619
1
2.1767
1
2.2005
1
2.2102
1
2.1771
1
  2.2085
1
2.1769
1
  2.2016
1
2.1772
1
M06-2X 2.0407
1
2.2230
1
2.3037
3
2.2041
1
2.3221
3
2.1741
1
2.1984
1
2.1774
1
2.1774
1
2.1656
1
2.3292
3
2.2010
1
2.2122
1
2.1807
1
  2.2097
1
2.1802
1
  2.2033
1
2.1804
1
PBEPBE 2.0586
1
2.2260
1
2.1632
1
2.2058
1
2.1744
1
2.1744
1
2.2012
1
2.1804
1
2.1804
1
2.1642
1
2.1819
1
2.2061
1
2.2124
1
2.1816
1
  2.2129
1
2.1815
1
  2.2052
1
2.1815
1
PBEPBEultrafine   2.2260
1
    2.1744
1
2.1744
1
2.2012
1
2.1804
1
  2.1642
1
2.1819
1
2.2061
1
2.2124
1
2.1816
1
  2.2129
1
2.1815
1
  2.2052
1
2.1815
1
PBE1PBE 2.0495
1
2.1588
1
2.1588
1
2.2028
1
2.3223
3
2.1695
1
2.1929
1
2.1727
1
2.1727
1
2.1587
1
2.1739
1
2.1977
1
2.2074
1
2.1746
1
  2.2053
1
2.1745
1
  2.1984
1
2.1745
1
HSEh1PBE 2.0505
1
2.3866
3
2.1603
1
2.2041
1
2.3243
3
2.1713
1
2.3524
3
2.1754
1
2.1754
1
2.1607
1
2.1766
1
2.2006
1
2.2090
1
2.3391
3
  2.2074
1
2.1771
1
  2.2006
1
2.1772
1
TPSSh 2.0567
1
2.2283
1
2.1651
1
2.2080
1
2.3523
3
2.1756
1
2.3726
3
2.1785
1
2.1785
1
2.3484
3
2.1801
1
2.2040
1
2.2131
1
2.3633
3
2.1790
1
2.2119
1
2.1802
1
2.1794
1
2.2047
1
2.1804
1
wB97X-D 2.0591
1
2.2447
1
2.3596
3
2.2259
1
2.3770
3
2.1907
1
2.3985
3
2.2002
1
2.3895
3
2.1805
1
2.2016
1
2.4163
3
2.4028
3
2.3930
3
2.1990
1
2.2318
1
2.3888
3
2.1989
1
2.2268
1
2.2023
1
B97D3 2.0775
1
2.4160
3
2.1786
1
2.2204
1
2.3597
3
2.1929
1
2.3908
3
2.2045
1
2.3816
3
2.1857
1
2.3759
3
2.4197
3
2.2294
1
2.3842
3
2.2046
1
2.2335
1
2.3756
3
2.2052
1
2.2272
1
2.3947
2
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 2.0479
1
2.2429
1
2.1817
1
2.2305
1
2.3680
3
2.1965
1
2.2230
1
2.3622
3
2.1873
1
2.1835
1
2.1997
1
2.3921
3
2.2305
1
2.1929
1
2.1870
1
2.2395
1
2.1961
1
2.1908
1
2.2349
1
2.1971
1
MP2=FULL 2.0482
1
2.2428
1
2.1798
1
2.2297
1
2.1899
1
2.1899
1
2.2140
1
2.1778
1
2.1778
1
2.1556
1
2.1812
1
2.2131
1
2.2274
1
2.1741
1
2.1683
1
2.2083
1
2.1675
1
2.1690
1
2.1890
1
2.1664
1
MP3         2.1960
1
  2.3672
3
      2.1980
1
2.2140
1
2.2294
1
2.1920
1
        2.2342
1
2.1951
1
MP3=FULL   2.2433
1
2.1788
1
2.2306
1
2.3603
3
2.1890
1
2.3792
3
2.1769
1
2.1769
1
2.1541
1
2.1809
1
2.2132
1
2.2266
1
2.1741
1
  2.2052
1
2.1673
1
  2.1823
1
2.1660
1
MP4 2.0532
1
2.4109
3
    2.3522
3
      2.3407
3
2.1838
1
2.1998
1
2.2157
1
2.2318
1
2.1929
1
  2.2422
1
2.1975
1
  2.2373
1
2.1981
1
MP4=FULL   2.2452
1
    2.1892
1
      2.1781
1
  2.1828
1
  2.2289
1
2.1752
1
  2.2073
1
2.1685
1
  2.1841
1
2.1672
1
B2PLYP 2.0474
1
2.2229
1
2.1613
1
2.2073
1
2.3285
3
2.1756
1
2.2016
1
2.1767
1
2.1767
1
2.1648
1
2.1827
1
2.2024
1
2.2108
1
2.3621
3
  2.2147
1
2.1824
1
  2.2086
1
2.1825
1
B2PLYP=FULL 2.0475
1
2.2229
1
2.1607
1
2.2071
1
2.1732
1
2.1732
1
2.1987
1
2.1737
1
2.1737
1
2.1562
1
2.1769
1
2.2020
1
2.2098
1
2.1748
1
  2.2051
1
2.1734
1
  2.1943
1
2.1731
1
B2PLYP=FULLultrafine 2.0475
1
2.2229
1
2.1607
1
2.2071
1
2.3252
3
2.1732
1
2.1987
1
2.1737
1
2.1737
1
2.1562
1
2.1769
1
2.2020
1
2.3807
3
2.3323
3
  2.2051
1
2.3227
3
  2.1943
1
2.1731
1
Configuration interaction CID   2.2438
1
2.1808
1
2.2316
1
2.1949
1
    2.1857
1
2.1857
1
2.1802
1
2.1952
1
  2.2288
1
2.1907
1
        2.2314
1
2.1929
1
CISD   2.2450
1
2.1812
1
2.2326
1
2.1952
1
    2.1861
1
2.1861
1
2.1807
1
2.1954
1
  2.2292
1
2.1909
1
        2.2318
1
2.1929
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 2.0506
1
2.2460
1
2.1823
1
2.2338
1
2.1966
1
2.1966
1
2.2219
1
2.1867
1
2.1867
1
2.1826
1
2.1982
1
2.2153
1
2.2306
1
2.1930
1
  2.2398
1
2.1949
1
  2.2350
1
2.1951
1
QCISD(T)   2.2460
1
2.1826
1
2.2339
1
2.1967
1
  2.2227
1
2.1869
1
2.1869
1
2.1840
1
2.1998
1
2.2162
1
2.2323
1
2.1929
1
  2.2424
1
2.1974
1
  2.2375
1
2.1980
1
QCISD(T)=FULL         2.1894
1
  2.2140
1
      2.1829
1
  2.2294
1
2.1754
1
2.1686
1
2.2075
1
2.1687
1
2.1692
1
2.1841
1
2.1674
1
Coupled Cluster CCD 2.0454
1
2.2442
1
2.1815
1
2.2322
1
2.1959
1
2.1959
1
2.2212
1
2.1858
1
2.1858
1
2.1818
1
2.1976
1
2.2146
1
2.2296
1
2.1920
1
  2.2388
1
2.1945
1
  2.2340
1
2.1947
1
CCSD         2.1964
1
2.1957
1
        2.1980
1
2.2152
1
2.2303
1
2.1929
1
2.1855
1
2.2394
1
2.1947
1
2.1885
1
2.2346
1
2.1949
1
CCSD=FULL         2.1893
1
        2.1541
1
2.1808
1
2.2143
1
2.2276
1
2.1743
1
2.1671
1
2.2053
1
2.1668
1
2.1674
1
2.1816
1
2.1654
1
CCSD(T)     2.1825
1
2.2336
1
2.1960
1
2.1966
1
2.1960
1
2.1867
1
2.1867
1
2.1838
1
2.2000
1
2.2161
1
2.2315
1
2.1935
1
2.1874
1
2.2420
1
2.1960
1
2.1903
1
2.2372
1
2.1979
1
CCSD(T)=FULL         2.2318
3
          2.1828
1
2.2152
1
2.2292
1
2.1754
1
2.1685
1
2.2073
1
2.1686
1
2.1692
1
2.1839
1
2.1673
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 2.2784
1
  2.2287
1
  2.2878
1
2.2735
1
2.1923
1
  2.3805
3
density functional LSDA             2.1527
1
   
BLYP             2.1866
1
  2.1873
1
B1B95             2.1754
1
  2.1762
1
B3LYP 2.2783
1
  2.2345
1
  2.2690
1
2.2573
1
2.1761
1
  2.3643
3
B3LYPultrafine             2.1761
1
  2.1777
1
B3PW91             2.1795
1
  2.1807
1
mPW1PW91             2.1753
1
  2.1767
1
M06-2X             2.1796
1
  2.1813
1
PBEPBE             2.1807
1
  2.3655
3
PBEPBEultrafine             2.1807
1
  2.1811
1
PBE1PBE             2.1726
1
  2.1740
1
HSEh1PBE             2.1753
1
  2.1767
1
TPSSh             2.1790
1
  2.1798
1
wB97X-D 2.2771
1
  2.2335
1
  2.2992
1
2.2855
1
2.2001
1
  2.2012
1
B97D3             2.2054
1
  2.2055
1
Moller Plesset perturbation MP2 2.2950
1
  2.2403
1
  2.2837
1
2.2773
1
2.1878
1
  2.3766
3
MP2=FULL             2.1724
1
  2.1874
1
MP3             2.1869
1
  2.1950
1
MP3=FULL             2.1720
1
  2.1871
1
MP4             2.1884
1
  2.1970
1
MP4=FULL             2.1726
1
  2.1882
1
B2PLYP             2.1770
1
  2.1812
1
B2PLYP=FULL             2.1722
1
  2.1785
1
B2PLYP=FULLultrafine             2.1722
1
  2.1785
1
Configuration interaction CID             2.1853
1
  2.1929
1
CISD             2.1855
1
  2.1929
1
Quadratic configuration interaction QCISD             2.1875
1
  2.1953
1
QCISD(T)             2.1885
1
  2.1972
1
QCISD(T)=FULL             2.1729
1
  2.1886
1
Coupled Cluster CCD             2.1869
1
  2.1948
1
CCSD             2.1874
1
  2.1953
1
CCSD=FULL             2.1723
1
  2.1875
1
CCSD(T)             2.1884
1
  2.1971
1
CCSD(T)=FULL             2.1728
1
  2.1885
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.