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Calculated Proton Affinity

20 10 26 10 44
Name Species   Species Name
Helium atom He HeH+ Helium hydride cation

Bonding changes

Bond type H-He gained 1
Proton Affinities (kJ/mol)
Proton Affinities in kJ/mol
Methods with predefined basis sets
composite G2 3084
G3 2159
G3B3 2159
G4 2408
CBS-Q 177

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 107 5378 5378 3947 3947 3985 3985 2936 2969 3985 2956 2971 3978 2654 2452 2013 1985 1981 1974
ROHF   5378 5378 3947 3947 3985 3947 2936 2969   2956 2971 3978 2654 2452 2013 1985 1981  
density functional LSDA 157 155 155 153 153 182 182 152 178 182 181 179 179 180 181 174 180 180  
BLYP 138 5500 5500 4057 4057 4085 4085 3063 3088 4085 3050 3090 4074 2772   2142 2120    
B1B95 127 5465 5465 4031 4031 4061 4061 3020 3048 4061 3043 3049 4052 2733 179 2120 2101 178  
B3LYP 130 5503 5503 4061 4061 4091 4091 3061 3088 4091 3053 3090 4081 2772 2570 2142 2119 2116  
B3LYPultrafine   5503     4061 4091 4091 3061   4091 3053 3090 4081 2772   2142 2119    
B3PW91 130 5473 5473 4033 4033 4064 4064 3032 3059 4064 3024 3061 4055 2743   2119 2097    
mPW1PW91 128 5456 5456 4019 4019 4051 4051 3019 3047 4051 3015 3048 4041 2731   2105 2083    
M06-2X 122 5438 5438 4022       3008 3036     3037 4041 2724   2124 2106    
PBEPBE 141 5456 5456 4012 4012 4040 4040 3011 3037 4040 3002 3038 4030 2720 183 2093 2071 182  
PBEPBEultrafine   5456     4012 4040 4040 3011   4040 3002 3038 4030 2720   2093 2071    
PBE1PBE 130 5452 5452 4012   4012 4044 3008 3036 4044 3007 3038 4035 2720   2091 2069    
HSEh1PBE 130 5452 5452 4013 4013 4044   3011 3038 4044 3008 3040 4035 2722   2093 2071    
TPSSh   5479 5479 4042 4042 4073 4073 3039 3068 4073   3069 4066 2754 2552 2132   2107  
wB97X-D   5487 5487 4056 4056 4087 4087 3053 3081 4087 3045 3082 4082 2765 2560 2136 2114 2110  
B97D3   5531 5531 4093 4093 4122 4122 3079 3105 4122 3054 3107 4112 2788 2581 2161 2142 2138  
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 123 5425 5425 3991 3991 4061 4061 2983 3041 4061 3036 3049 4055 2746 2549 2089 2078 2079  
MP2=FULL 123 5425 5425 3991 3991 4061 4061 2983 3041 4061 3036 3049 4055 2746 2549 2089 2078 2079  
ROMP2   5545 5545 4119 4119 4178 4178 3117 3164 4178 3155 3171 4173 2865   2211      
MP3         4001   4076       3050 3063 4071 2760          
MP3=FULL   5435 5435 4001 4001 4076 4076 2992 3054 4076 3050 3063 4071 2760   2105 2092    
MP4   5438     4004       3058   3053 3067 4075 2763   2108 2095    
MP4=FULL   5438     4004       3058   3053   4075 2763   2108 2095    
B2PLYP   5478 5478 4041   4084   3038   4084 3053 3079 4075 2765   2126 2105    
B2PLYP=FULL   5478 5478 4041 4041 4084 4084 3038 3075 4084 3053 3079 4075 2765   2126 2105    
B2PLYP=FULLultrafine   139 139 141   173 173 142 169 173 173 171       166      
Configuration interaction CID   5438 5438 4004 4004     2995     3053   4075 2764          
CISD   5439 5439 4005 4005     2996     3054   4076 2764          
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   5439 5439 4005 4005 4081 4081 2996 3059 4081 3054 3068 4076 2764   2110 2096    
QCISD(T)         4005     2996     3054 3068 4076 2764   2110 2096    
QCISD(T)=FULL         4005   4081       3054   4076 2764 2565 2110 2096 2095  
Coupled Cluster CCD   5438 5438 4004 4004 4080 4080 2995 3058 4080 3053 3067 4075 2764   2109 2095    
CCSD         4005         4081 3054 3068 4076 2764 2565 2110 2096 2095  
CCSD=FULL         4005         4081 3054 3068 4076 2764 2565 2110 2096 2095  
CCSD(T)         4005 4081 4081 2996 3059 4081 3054 3068 4076 2764 2565 2110 2096 2095  
CCSD(T)=FULL         4005           3054 3068 4076 2764 2565 2110 2096 2095  
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     2936 2936   3947     2974
ROHF                 2974
density functional BLYP                 3092
B1B95                 3052
B3LYP     3061 3061   4061     3092
B3LYPultrafine                 3092
B3PW91                 3063
mPW1PW91                 3051
M06-2X                 3038
PBEPBE                 3041
PBEPBEultrafine                 3041
PBE1PBE                 3040
HSEh1PBE                 3042
TPSSh                 3071
wB97X-D     3053 3053   4056     3084
B97D3                 3109
Moller Plesset perturbation MP2     2983 2983   3991     3066
MP2=FULL                 3066
ROMP2                 3184
MP3                 3079
MP3=FULL                 3079
MP4                 3082
MP4=FULL                 3082
B2PLYP                 3085
B2PLYP=FULL                 3085
B2PLYP=FULLultrafine                 174
Configuration interaction CID                 3082
CISD                 3083
Quadratic configuration interaction QCISD                 3083
QCISD(T)                 3083
QCISD(T)=FULL                 3083
Coupled Cluster CCD                 3082
CCSD                 3083
CCSD=FULL                 3083
CCSD(T)                 3083
CCSD(T)=FULL                 3083
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.