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0920HW

20220920

  • Use Spartan to calculate the ionization energy of atoms with atomic number 1~18, by using PM3HF and MP2 theoretical method with 6-31G* basis set, and do some simple statistical analysis. The unit of the ionization energy is kcal/mol .

 

Step1:build hydrogen atom

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Step2: selection of calculation method, basis sets,total charge and unpaired electrons submit

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Semiempirical methods are simplified versions of Hartree-Fock theory using empirical (= derived from experimental data)So He,Ne,Ar cannot be calculated

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  • Result

ref :https://physics.nist.gov/PhysRefData/ASD/ionEnergy.html

Ionization energy: The energy required to remove the outermost electron from an atom in the ground state gas phase.

AA++e-

(kcal/mol)

PM3

HF/6-31G*

MP2/6-31G*

Exp.

H

301.5

312.6

312.6

313.6

He

N/A

540.6

547.7

567.3

Li

122.2

122.9

122.9

124.3

Be

190.3

182.9

199.4

214.9

B

97.1

180.7

182.4

191.2

C

227.4

247.1

252.2

259.6

N

306.3

322.1

332.6

335.1

O

294.4

276.9

298.5

313.9

F

378.0

359.5

387.6

401.7

Ne

N/A

453.5

487.4

497.2

Na

110.0

114.3

114.3

118.3

Mg

182.9

152.3

166.1

176.2

Al

68.0

128.1

130.2

137.9

Si

172.3

176.0

179.7

187.9

P

212.0

229.3

235.0

241.7

Si

206.5

210.9

218.6

238.9

Cl

253.1

271.7

283.6

298.9

Ar

N/A

338.0

353.9

363.2

MUE

29.7

20.1

9.8

 

 

ssd

 

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a

  • Conclusions
  1. The IE of the same group of elements decreases with increasing atomic number,as n increases, the electron is farther away from the nucleus, and the attractive force is smaller.
  2. The IE of elements of the same period increases with the increase of atomic number,the attractive force pull of the atomic nucleus on the electron increases.
  3.  Mean unsigned error (MUE): PM3 (29.7 kcal/mol) > HF (20.1 kcal/mol) > MP2 (9.8 kcal/mol)

 

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