魏亭宜-第四週作業

•Use Spartan or WebMO to calculate the ionization energy of atoms with atomic number 1~10, by using CCSD(T)、MP4 and MP2 theoretical method with 6-31G* and 6-311+G(2df,2p) basis set, and do some simple statistical analysis. The unit of the ionization energy is kcal/mol .

•Organize the calculated data of ionization energy, and compare it with the experimental value, then present the result on your exercise page.

1、ionization energy ( unit: kcal/mol )

MP2/6-31G*

MP4/6-31G*

CCSD(T)/6-31G*

H

312.6

312.6

312.6

He

547.7

549.9

550.0

Li

122.9

122.9

122.9

Be

197.5

207.1

210.0

B

182.4

180.8

179.8

C

252.2

250.2

249.0

N

332.6

330.3

328.9

O

298.5

298.9

298.8

F

387.6

386.4

386.2

Ne

487.4

484.3

483.8

 

 

MP2/6-311G(2df,2p)

MP4/6-311G(2df,2p)

CCSD(T)/6-311G(2df,2p)

H

313.6

313.6

313.6

He

559.2

563.2

563.3

Li

123.1

123.1

123.1

Be

203.0

211.1

214.1

B

190.2

189.6

188.9

C

259.3

258.4

257.6

N

336.4

334.4

333.6

O

306.7

307.4

308.3

F

398.2

395.9

396.9

Ne

498.5

492.9

493.6

 

 

H

He

Li

Be

B

C

N

O

F

Ne

experimental value

313.6

567

122.7

215

191.3

259.6

335.2

314

401.8

497.3

 

2、Absolute error

 

MP2/6-31G*

MP4/6-31G*

CCSD(T)/6-31G*

MP2/6-311G(2df,2p)

MP4/6-311G(2df,2p)

CCSD(T)/6-311G(2df,2p)

H

0.9

0.9

0.9

0.1

0.1

0.1

He

19.6

17.4

17.3

8.1

3.9

3.7

Li

1.4

1.3

1.3

1.2

1.2

1.2

Be

17.5

7.8

5.0

11.9

3.5

0.9

B

8.8

10.3

11.4

0.9

1.4

2.5

C

7.4

9.4

10.6

0.3

1.2

2.0

N

2.5

4.8

6.2

1.3

0.7

1.6

O

15.4

14.9

15.0

7.2

5.8

5.7

F

14.1

15.3

15.5

3.5

4.7

4.9

Ne

9.8

12.9

13.4

1.3

2.9

3.7

MUE

9.7

9.5

9.6

3.6

2.5

2.6

 

3       4

5       6 

1       2

1       1

 結論 :

  1. 以6-31G*為basis set時,不同方法的MUE為:MP2 (9.7 kcal/mol) > CCSDT (9.6 kcal/mol) > MP4 (9.5 kcal/mol)
  2. 以6-311+G(2df,2p)為basis set時,不同方法的MUE為:MP2 (3.6 kcal/mol) > CCSDT (2.6 kcal/mol) > MP4 (2.5 kcal/mol)
  3. 利用6-311+G(2df,2p)為basis set時誤差比6-31G*小