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HW_5_ken

Ionization Energies:

A(g) A+(g)+ e -                     ΔE = IE1

A+(g) A+2 (g) + e -              ΔE = IE2

Ionization

6-31G**

H

He

Li

Be

B

C

N

O

F

Ne

Na

Mg

Al

Si

P

S

Cl

Ar

(unit: kcal/mol)

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

 

HF

312.6

540.6

122.9

182.9

180.4

247.1

322.1

275.0

359.5

453.5

114.3

152.5

128.1

176.0

229.3

210.9

271.7

338.0

 

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

186.9

239.4

241.6

300.5

364.1

 

6-311G**

H

He

Li

Be

B

C

N

O

F

Ne

Na

Mg

Al

Si

P

S

Cl

Ar

 

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

 

HF

313.6

540.8

67.4

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

 

B3LYP

315.1

574.8

129.5

210.1

201.2

266.0

337.5

323.8

406.2

497.5

125.0

178.2

138.7

187.0

240.0

242.5

302.6

365.3

實驗值a

(unit: kcal/mol)

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

299.1

363.4

aComputational Chemistry Comparison and Benchmark DataBase

 

絕對誤差

(unit: kcal/mol)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6-31G**

MP2

-1.0

-10.5

-1.4

-15.5

-9.0

-7.5

-2.5

-15.6

-14.1

-9.8

-4.2

-10.3

-7.9

-8.3

-7.0

-20.3

-15.5

-9.6

 

HF

-1.0

-26.4

-1.4

-32.1

-11.0

-12.6

-13.0

-39.1

-42.2

-43.7

-4.2

-23.9

-10.0

-11.9

-12.6

-28.0

-27.4

-25.4

 

B3LYP

0.3

6.4

5.2

-6.3

5.6

3.2

2.9

8.5

-0.9

-6.2

6.1

1.8

0.6

-1.0

-2.5

2.7

1.4

0.7

                                       

絕對誤差

(unit: kcal/mol)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6-311G**

MP2

0.0

-10.8

-1.2

-12.6

-3.3

-3.3

-2.8

-15.8

-11.7

-7.1

-4.5

-10.3

-7.7

-8.0

-6.5

-19.6

-13.9

-9.4

 

HF

0.0

-26.3

-56.9

-29.4

-6.3

-10.4

-13.8

-37.7

-40.0

-41.7

-4.5

-24.1

-9.9

-11.9

-12.6

-28.0

-26.5

-25.5

 

B3LYP

1.5

7.7

5.2

-4.8

9.8

6.4

2.5

9.7

4.5

0.3

6.4

1.8

0.5

-0.9

-1.9

3.6

3.5

1.8

MAE (unit: kcal/mol)

6-31G**

6-311G**

MP2

9.4

8.3

HF

20.3

22.5

B3LYP

3.5

4.0

 

 

Electron Affinity(EA): IUPAC definition

            X-X+e-, EA = E(X) - E(X-)

 

 

Electron Affinity:

H

(unit: kcal/mol)

MP2

B3LYP

M062X

He

(unit: kcal/mol)

MP2

B3LYP

M062X

 

6-31G**

39.43

24.1

29.8

 

6-31G**

-860.6

-829.8

-827.8

 

6-311G**

10.6

4.8

0.1

 

6-311G**

-514.6

-493.1

-482.7

 

6-31++G**

3.0

20.4

13.4

 

6-31++G**

-127.9

-117.3

-114.4

 

6-311++G**

3.6

20.0

13.3

 

6-311++G**

-116.5

-105.9

-104.3

 

實驗值:

 

實驗值(kcal/mol)

H

17.4

He

-5.0

絕對誤差:

sscsc

My choice:

   Hydrogen: B3LYP/6-31++G** or B3LYP/6-311++G**

   Helium: 6-31++G** or 6-311++G**

3. Electron Affinity of atoms with atomic number 3~18

實驗值:

 

 

實驗值(kcal/mol)

H

17.4

He

-5.0

Li

14.3

Be

0.0

B

5.5

C

29.3

N

-1.7

O

33.7

F

77.0

Ne

-6.9

Na

12.6

Mg

0.0

Al

10.5

Si

31.9

P

17.1

S

47.9

Cl

83.3

Ar

-8.4

Reference: Atkins' PHYSICAL CHEMISTRY 10th Ed

 

相同基底函數,不同方法的絕對誤差比較

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