return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Geometry > Calculated geometry > One type of bond

Comparison of levels of theory for Al-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 1.7454
3
PM3 1.9040
3
PM6 2.2728
3
composite G2 2.1887
2
G3 2.2106
3
G3B3 2.1900
3
G4 2.1826
3
CBS-Q 2.2106
3

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-pVTZ
hartree fock HF 2.0396
3
2.3269
3
2.1959
3
2.3387
3
2.2152
3
2.2152
3
2.2173
3
2.2091
3
2.2091
3
2.2066
3
  2.2197
3
2.2296
3
2.2148
3
2.2087
3
2.2383
3
2.2177
3
2.2096
3
2.1925
2
ROHF   2.3905
2
2.2473
2
2.4009
2
2.2695
2
2.2695
2
2.2713
2
2.2624
2
2.2624
2
    2.2732
2
2.2800
2
2.2647
2
2.2585
2
2.2891
2
2.2677
2
2.2594
2
 
density functional LSDA 2.0175
3
2.1911
1
2.1478
3
2.2237
3
2.1609
3
2.1609
3
2.1614
3
2.1525
3
2.1525
3
2.1506
3
  2.1593
3
2.1721
3
2.1545
3
  2.1741
3
2.1543
3
   
BLYP 2.1954
3
2.2598
3
2.1875
3
2.2734
3
2.2582
2
2.2062
3
2.2072
3
2.1993
3
2.1993
3
2.1950
3
  2.2050
3
2.2156
3
2.1991
3
         
B1B95 2.0188
3
2.1994
1
2.1553
3
2.2400
3
2.1675
3
2.1675
3
2.1681
3
2.1611
3
2.1611
3
2.1622
3
  2.1695
3
2.1809
3
2.1674
3
  2.1843
3
2.1682
3
   
B3LYP 2.0345
3
2.2497
3
2.1713
3
2.2620
3
2.1881
3
2.1881
3
2.1891
3
2.1816
3
2.1816
3
2.1786
3
  2.1885
3
2.1992
3
2.1834
3
2.1773
3
2.2031
3
2.1844
3
2.1777
3
 
B3LYPultrafine   2.2497
3
    2.1882
3
2.1882
3
2.1891
3
2.1816
3
      2.1885
3
2.1992
3
2.1835
3
  2.2031
3
2.1844
3
   
B3PW91 2.0264
3
2.2387
3
2.1627
3
2.2468
3
2.1747
3
2.1747
3
2.1752
3
2.1676
3
2.1676
3
2.1670
3
  2.1756
3
2.1872
3
2.1720
3
         
mPW1PW91 2.0229
3
2.2368
3
2.1592
3
2.2445
3
2.1708
3
2.1708
3
2.1712
3
2.1638
3
2.1638
3
2.1635
3
  2.1719
3
2.1834
3
2.1687
3
  2.1869
3
2.1693
3
   
M06-2X 2.0189
3
2.2375
3
2.1228
3
2.2507
3
2.1714
3
2.1714
3
2.1721
3
2.1650
3
2.1650
3
2.1663
3
2.1444
2
2.1772
3
2.1841
3
2.1742
3
  2.1884
3
2.1749
3
   
PBEPBE 2.1825
3
2.2436
3
2.1743
3
2.2523
3
2.1869
3
2.1869
3
2.1877
3
2.1803
3
2.1803
3
2.1782
3
  2.1869
3
2.1978
3
2.1825
3
  2.2007
3
2.1831
3
   
PBEPBEultrafine   2.2438
3
    2.1868
3
2.1868
3
2.1876
3
2.1802
3
      2.1868
3
2.1977
3
2.1824
3
  2.2007
3
2.1830
3
   
PBE1PBE 2.0214
3
2.2038
1
2.1596
3
2.2447
3
2.1710
3
2.1710
3
2.1715
3
2.1644
3
2.1644
3
2.1638
3
  2.1723
3
2.1835
3
2.1691
3
  2.1870
3
2.1699
3
   
HSEh1PBE 2.0231
3
2.2389
3
2.1609
3
2.2471
3
2.1730
3
2.1730
3
2.1735
3
2.1661
3
2.1661
3
2.1652
3
  2.1739
3
2.1854
3
2.1703
3
  2.1893
3
2.1710
3
   
TPSSh   2.2428
3
2.1661
3
2.2456
3
2.1737
3
2.1737
3
2.1739
3
2.1664
3
  2.1535
2
  2.1752
3
2.1868
3
2.1715
3
  2.1903
3
2.1720
3
   
wB97X-D     2.1432
2
  2.1539
2
  2.1547
2
  2.1496
2
    2.1551
2
2.1547
2
2.1544
2
    2.1551
2
   
B97D3   2.3196
1
    2.2463
1
  2.2471
1
  2.2414
1
  2.3472
2
2.2467
1
  2.3540
2
    2.2408
1
  2.3558
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-pVTZ
Moller Plesset perturbation MP2 2.0108
3
2.2467
3
2.1385
3
2.2566
3
2.1577
3
2.1514
3
2.1524
3
2.1521
3
2.1444
3
2.1500
3
  2.1587
3
2.1769
3
2.1559
3
2.1436
3
2.1848
3
2.1580
3
2.1444
3
 
MP2=FULL 2.0101
3
2.2466
3
2.1353
3
2.2562
3
2.1476
3
2.1476
3
2.1489
3
2.1438
3
2.1438
3
2.1382
3
  2.1588
3
2.1738
3
2.1464
3
2.1119
3
2.1812
3
2.1425
3
2.1094
3
 
ROMP2 2.0583
2
2.1736
1
2.1736
2
2.2838
2
2.1810
2
2.1810
2
2.1857
2
2.1852
2
2.1852
2
2.1842
2
  2.1846
2
2.1993
2
2.1864
2
  2.2124
2
     
MP3         2.1658
3
  2.1673
3
        2.1755
3
2.1975
3
2.1724
3
         
MP3=FULL         2.1628
3
  2.1646
3
        2.1767
3
2.1949
3
2.1636
3
         
MP4   2.2624
3
    2.1717
3
      2.1642
3
    2.1808
3
2.2027
3
2.1764
3
  2.2121
3
2.1792
3
   
MP4=FULL   2.2626
3
    2.1680
3
      2.1637
3
      2.1999
3
2.1673
3
  2.2080
3
2.1635
3
   
B2PLYP 2.0275
3
2.2493
3
2.1624
3
2.2603
3
2.1774
3
2.1774
3
2.1784
3
2.1709
3
2.1709
3
2.1718
3
  2.1802
3
2.1937
3
2.1770
3
  2.1995
3
2.1787
3
   
B2PLYP=FULL 2.0274
3
2.2493
3
2.1612
3
2.2602
3
2.1760
3
2.1760
3
2.1771
3
2.1705
3
2.1705
3
2.1676
3
  2.1801
3
2.1926
3
2.1738
3
  2.1982
3
2.1737
3
   
B2PLYP=FULLultrafine         2.2225
1
              2.1007
1
2.0824
1
    2.0821
1
   
Configuration interaction CID   2.2748
3
2.1596
3
2.2876
3
2.1753
3
    2.1682
3
                     
CISD   2.2813
3
2.1659
3
2.2928
3
2.1815
3
    2.1740
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-pVTZ
Quadratic configuration interaction QCISD   2.2948
3
2.1801
3
2.3069
3
2.1964
3
2.1964
3
2.1974
3
2.1882
3
2.1882
3
2.1937
3
  2.2046
3
2.2275
3
2.1982
3
  2.2363
3
2.2008
3
   
QCISD(T)         2.1950
3
            2.2028
3
2.2271
3
2.1971
3
  2.2351
3
2.2001
3
   
QCISD(T)=FULL         2.1906
3
  2.1918
3
          2.2236
3
2.1864
3
2.1463
3
2.2307
3
2.1823
3
2.1444
3
 
QCISD(TQ)         2.1928
3
  2.1944
3
          2.2261
3
2.1975
3
2.1838
3
2.2350
3
2.2008
3
2.1852
3
 
QCISD(TQ)=FULL         2.1892
3
              2.1385
1
  2.1885
2
2.2307
3
2.1833
3
   
Coupled Cluster CCD   2.2719
3
2.1605
3
2.2847
3
2.1763
3
2.1763
3
2.1779
3
2.1693
3
2.1693
3
2.1766
3
  2.1864
3
2.2095
3
2.1824
3
  2.2199
3
2.1853
3
   
CCSD         2.1892
3
            2.1984
3
2.2213
3
2.1935
3
2.1797
3
2.2309
3
2.1963
3
2.1808
3
 
CCSD=FULL         2.1854
3
            2.1982
3
2.2180
3
2.1828
3
2.1434
3
2.2267
3
2.1787
3
2.1412
3
 
CCSD(T)         2.1901
3
            2.1980
3
2.2217
3
2.1932
3
2.1792
3
2.2304
3
2.1960
3
2.1807
3
 
CCSD(T)=FULL         2.1857
3
            2.1975
3
2.2183
3
2.1824
3
2.1429
3
2.2261
3
2.1786
3
2.1410
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-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 2.3544
3
2.2299
3
2.3515
3
2.2275
3
2.3451
3
2.3342
3
    2.1772
2
density functional B3LYP 2.2825
3
2.2065
3
2.2821
3
2.2057
3
2.2709
3
2.2522
3
    2.1601
2
PBEPBE                 2.2477
2
Moller Plesset perturbation MP2 2.2748
3
2.1855
3
2.2694
3
2.1760
3
2.2553
3
2.2472
3
    2.1357
2
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.