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許慧霖-第三週作業

Atom

Mutiplicity
(2S + 1)

S=1/2 * unpaired electron
(S = total electronic spin)
 

unpaired electron

PM3
(kcal/mol)

HF 6-31G*
(kcal/mol)

MP2 6-31G*
(kcal/mol)

H

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s1

52.1

-312.6

-312.6

He

single
(2 * 0 +1)

1/2 * 0 = 0

0
1s2

N/A

-1791.6

-1798.7

Li

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s1

-83.8

-4663.3

-4663.3

Be

single
(2 * 0 + 1)

1/2 * 0 = 0

0
1s22s2

77.0

-9140.9

-9157.4

B

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p1

135.7

-15387.8

-15410.8

C

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p2

170.9

-23645.1

-23677.8

N

quartet
(2 * 3/2 +1)

1/2 * 3 = 3/2

3
1s22s22p3

113.0

-34127.4

-34172.3

O

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p4

59.6

-46927.6

-46987.9

F

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p5

18.9

-62352.5

-62429.2

Ne

single
(2 * 0 +1)

1/2 * 0 = 0

0
1s22s22p6

N/A

-80618.9

-80713.2

Na

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p63s1

25.7

-101557.0

-101557.0

Mg

single
(2 * 0 + 1)

1/2 * 0 = 0

0
1s22s22p63s2

35.0

-125248.1

-125261.9

Al

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p63s23p1

79.5

-151767.5

-151785.9

Si

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p63s23p2

108.4

-181244.7

-181269.9

P

quartet
(2 * 3/2 +1)

1/2 * 3 = 3/2

3
1s22s22p63s23p3

75.6

-213786.3

-213821.9

S

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p63s23p4

66.4

-249419.9

-249468.5

Cl

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p63s23p5

29.0

-288308.0

-288373.5

Ar

single
(2 * 0 +1 )

1/2 * 0 = 0

0
1s22s22p63s23p6

N/A

-330555.5

-330641.7

 

Atom

Mutiplicity
(2S + 1)

S=1/2 * unpaired electron
(S = total electronic spin)
 

unpaired electron

PM3
(kcal/mol)

HF 6-31G*
(kcal/mol)

MP2 6-31G*
(kcal/mol)

H+

single
(2 * 0 + 1)

1/2 * 0 = 0

0
1s0

353.6

0

0

He+

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s1

N/A

-1251.0

-1251.0

Li+

single
(2 * 0 +1)

1/2 * 0 = 0

0
1s2

38.4

-4540.4

-4540.4

Be+

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s1

267.3

-8958.0

-8958.0

B+

single
(2 * 0 + 1)

1/2 * 0 = 0

0
1s22s2

232.8

-15207.1

-15228.4

C+

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p1

398.3

-23398.0

-23425.6

N+

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p2

419.3

-33805.3

-33839.7

O+

quartet
(2 * 3/2 +1)

1/2 * 3 = 3/2

3
1s22s22p3

353.9

-46650.7

-46689.5

F+

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p4

396.9

-61993.0

-62041.6

Ne+

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p5

N/A

-80165.4

-80225.9

Na+

single
(2 * 0 +1)

1/2 * 0 = 0

0
1s22s22p6

135.6

-101442.7

-101442.7

Mg+

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p63s1

217.9

-125095.8

-125095.8

Al+

single
(2 * 0 + 1)

1/2 * 0 = 0

0
1s22s22p63s2

147.5

-151639.4

-151655.7

Si+

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p63s23p1

280.7

-181068.7

-181090.3

P+

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p63s23p2

287.6

-213557.0

-213586.9

S+

quartet
(2 * 3/2 +1)

1/2 * 3 = 3/2

3
1s22s22p63s23p3

272.9

-249209.0

-249249.9

Cl+

triplet
(2 * 1 + 1)

1/2 * 2 = 1

2
1s22s22p63s23p4

282.0

-288036.3

-288089.9

Ar+

doublet
(2 * 1/2 + 1)

1/2 * 1 = 1/2

1
1s22s22p63s23p5

N/A

-330217.5

-330287.8

 

1 hartree = 627.5095 kcal/mol(資料來源:https://lab409chem.ccu.edu.tw/var/file/80/1080/img/866/qchem.pdf

游離能及誤差

Atom

PM3
(kcal/mol)

HF 6-31G*
(kcal/mol)

MP2 6-31G*
(kcal/mol)

real
(kcal/mol)

real
(kJ/mol)

絕對誤差
PM3

絕對誤差
HF 6-31G*

絕對誤差
MP2 6-31G*

H

301.5

313.9

313.9

313.6

1312.0

12.1

-0.3

-0.3

He

N/A

540.6

547.7

567.0

2372.3

N/A

26.4

19.3

Li

122.2

122.9

122.9

124.3

520.2

2.1

1.4

1.4

Be

190.3

182.9

199.4

215.0

899.5

24.7

32.1

15.6

B

97.1

180.7

182.4

191.3

800.6

94.2

10.6

8.9

C

227.4

247.1

252.2

259.7

1086.5

32.2

12.6

7.5

N

306.3

322.1

332.6

335.1

1402.3

28.9

13.1

2.6

O

294.4

276.9

298.5

314.0

1313.9

19.7

37.1

15.6

F

378.0

359.5

387.6

401.8

1681.0

23.7

42.3

14.2

Ne

N/A

453.5

487.4

497.3

2080.7

N/A

43.8

9.9

Na

110.0

114.3

114.3

118.5

495.8

8.5

4.2

4.2

Mg

182.9

152.3

166.1

176.3

737.7

-6.5

24.0

10.2

Al

68.0

128.1

130.2

138.0

577.5

70.0

9.9

7.8

Si

172.3

176.0

179.7

188.0

786.5

15.6

12.0

8.3

P

212.0

229.3

235.0

241.8

1011.8

29.8

12.5

6.9

S

206.5

210.9

218.6

238.9

999.6

32.4

28.0

20.3

Cl

253.1

271.7

283.6

299.0

1251.2

46.0

27.4

15.4

Ar

N/A

338.0

353.9

363.4

1520.6

N/A

25.4

9.5

 

 

 

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