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林奕諄-第三週作業

2.Use Gaussian、 Spartan or WebMO to calculate the ionization energy of atoms with atomic number 1~18,

by using HF、B3LYP and MP2 theoretical methods with 6-31G** and 6-311G** basis set, and do some simple statistical analysis.

The ionization energy of atoms with atomic number 1~18 calculations.(The unit is kcal/mol.)

Experimental values of Ionization Energy ( Unit : Kcal/mol )

Source:Computational Chemistry Comparison and Benchmark DataBase

The definition of Ionization Energy is minimum energy required to eject an electron out of a neutral atom or molecule in its 

ground state. Cite as IUPAC.

Ionization Energies : A(g)→ A+(g)+ e -        ΔE = IE

Experimental values of Ionization Energy
H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar
313.6 567.1 124.3 214.9 191.4 259.7 335.1 314.1 401.7 497.2 118.5 176.4 138.1 187.9 241.9 238.9 229.1 363.4

023

Calculational values of Ionization Energy ( Unit : Kcal/mol )

             He Li Be F   Ne Na Mg Al Si Al Ar

6-31G**

 Hartree

312.6 540.6 122.9 182.9 180.7 247.1 322.1 276.9 359.5 453.5 114.3 152.3 128.1 176.0 229.3 210.9 271.7 338.0

6-311G**

 Hartree  

313.6 540.8 123.1 185.5 185.1 249.3 321.2 276.4 361.7 455.5 114.0 152.3 128.3 176.1 229.3 210.9 272.6 337.9

6-31G**

   MP2   

312.6 556.6 122.9 199.4 182.4 252.2 332.6 298.5 387.6 487.4 114.3 166.1 130.2 179.7 235.0 218.6 283.6 353.9

6-311G**

   Mp2    

313.6 556.2 123.1 202.3 188.1 256.3 332.3 298.3 390.0 490.1 114.0 166.1 130.4 179.9 235.4 219.3 285.2 354.0

6-31G**

  B3LYP   

313.9 573.5 129.5 208.7 197.0 262.9 338.0 322.6 400.8 491.0 124.7 178.2 138.7 187.0 239.4 241.6 300.5 364.0

6-311G**

  B3LYP   

315.1 574.8 129.5 210.2 201.2 265.8 337.5 323.8 406.2 497.5 125.0 178.2 138.7 187.0 240.0 242.5 302.6 365.3

Compare the ionization energy of atoms with atomic number 1~18 between experimental data. ( Unit : Kcal/mol )

024

Expect Hydrogen and Lithium, all moleculars have lots of errors.

025 

The absolute error of all moleculars is apparently reduced.

026

Likewise, the absolute error of all moleculars is apparently reduced.

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