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Calculated Proton Affinity

20 10 26 10 44
Name Species   Species Name
water dimer H2OH2O H5O2+ Dihydroxonium ion

Bonding changes

Bond type H..O lost 1
Bond type H.O gained 2
Proton Affinities (kJ/mol)
Proton Affinities in kJ/mol
Methods with predefined basis sets
composite G2 790
G3 792
G3B3 778
G4 779
CBS-Q 796

Proton Affinities in kJ/mol
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 1139 942 942 749 822     692                     819
density functional LSDA 1201 863 863 803 741 758 834 747 744 752   840 754 843   820 823    
BLYP 1168 849 849 901 731 746 815 734 732 744   822 745 831   803 807    
B1B95 1161 964 964 903 843 843 826   851 857   832 857 835   814      
B3LYP       902 843 863 822 731 730 738   828 739 833 823 810   815  
B3LYPultrafine   963     724 742 822 731       828 739 833   810 814    
B3PW91 1167 969 969 791 850 869 710 737 857 863   717 864 841   699 826    
mPW1PW91 1166 968 968 786 848 869 709 736 735 863   717 741 842   698 704    
M06-2X 1030 963 963 904 843 864 831 852   856   830   831   816 816    
PBEPBE 1176 960 960 907 733 750 824 738 738 747   832 864 839   812 817    
PBEPBEultrafine   960     734 750 824 739       832 748 839   812 817    
PBE1PBE 1169 967 967 906 847 724 831 858 856 862   837 862 841   818 824    
HSEh1PBE 1168   967 905 846 867 706 857 855 738   836 740 840   818 823    
TPSSh   960 960   850 869 832 856 856 864   838 864 842 833 820 825 825  
wB97X-D 1164 971 971   724 742 831   855 737   838 861 841 833 819 825 827  
B97D3   857     738   833   743   825 841   846     827    
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 1177 958 958 883 832 857 817   850 843   827 856 828 815 799 805 806  
MP2=FULL 1178 958 958 884 832 858 694   851 845   828 856 830 817 679 753 686  
MP3         831   881         833 856 832          
MP3=FULL   954 954 761 831 857 824   727 845   833 732 835     817    
MP4   955     831       852     829 857 829   801 806    
MP4=FULL   955     832       853       858 832   801 809    
B2PLYP 1168 960 960 894 837 859 819   849 729   826 856 830   804 809    
B2PLYP=FULL 1168 960 960 894 838 860 819   849 852   826 856 831   804 810    
B2PLYP=FULLultrafine 1168 960 960 894   860 819   849 729   826       804      
Configuration interaction CID   954 954 882                              
CISD   954 954 882                              
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   954 954 881 830 856 820   850 843   830 855 829     810    
QCISD(T)         831             830 857 830   802 808    
QCISD(T)=FULL         832   697           858 833 820 803 812    
Coupled Cluster CCD   953 953 880   856 821   850 843   830 855 830     812    
CCSD         830         843   707 732 830 696   689    
CCSD=FULL         831         844   831 856 833 821   814    
CCSD(T)         831 858 820         708 857 830 745 803 809 810  
CCSD(T)=FULL         832             831 858 710 698 803 812    
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

Proton Affinities in kJ/mol
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 865   735   738 868      
density functional B3LYP 885 832 881 828 892 892     824
PBEPBE                 829
wB97X-D 893 839 889 713 898 898      
Moller Plesset perturbation MP2 739 812 859   868 751     818
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.