study of the ch 2 i + o 2 reaction with a step-scan fourier-transform infrared absorption...

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Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and Dioxirane(?) 1 Yu-Hsuan Huang 1 and Yuan-Pern Lee 1, 2 1 Department of Applied Chemistry and Institute of Molecular Science, National Chiao Tung University, Taiwan 2 Institute of Atomic and Molecular Sciences, Academia Sinica, Taiwan 69 th International Symposium on Molecular Spectroscopy

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3 Experimental observation of CH 2 OO Photoionization mass spectrometry Taatjes et al, J. Am. Chem. Soc. 130, (2008) Welz et al, Science 335, 204 (2012) Huang et al., J. Phys. Chem. Lett 3, 3399 (2012) Stone et al. Phys. Chem. Chem. Phys. 15, (2013) Proposed mechanism

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Page 1: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

Study of the CH2I + O2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer:

Spectra of the Criegee Intermediate CH2OO and Dioxirane(?)

1

Yu-Hsuan Huang1 and Yuan-Pern Lee1, 2

1 Department of Applied Chemistry and Institute of Molecular Science, National Chiao Tung University, Taiwan

2 Institute of Atomic and Molecular Sciences, Academia Sinica, Taiwan

69th International Symposium on Molecular Spectroscopy

Page 2: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

2

Importance of CH2OOCriegee mechanism important for the removal of unsaturated hydrocarbons and for the production of OH in the atmosphere R. Criegee, Rec. Chem. Prog. 18, 111 (1957)

++

Decomposition of CH2OO

Chen et al., J. Phys. Chem. A 106, 1877 (2002)

(kcal/mol-1)

stabilizationIsomerization and decomposition

HCOOH, OH, CH3,

CO, CO2, etc

(primary ozonide)

(Criegee intermediate)

Simplest Criegee internediate:CH2OO

Page 3: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

3

Experimental observation of CH2OOPhotoionization mass spectrometry

Taatjes et al, J. Am. Chem. Soc. 130, 11883 (2008)Welz et al, Science 335, 204 (2012)

• CH2I + O2 CH2OO + I

Huang et al., J. Phys. Chem. Lett 3, 3399 (2012)Stone et al. Phys. Chem. Chem. Phys. 15, 19119 (2013)

Proposed mechanism

CH2I + O2 → CH2IOO*CH2OO + I

CH2IOOM

Page 4: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

1

0

1

0

2

0

2

0

2

1500 1400 1300 1200 1100 1000 900 800

0

2

IR In

teni

sity

/arb

. uni

tA

bsor

bacn

e /1

0-2

Wavenumber /cm-1

(f) cis-CH2IOO

(e) methylenebis(oxy)

(d) dioxirane

(c) CH2OO

(b) expt. 0-12.5s

(a) CH2I2

4

IR Identification of CH2OOComparison of observed spectrum with simulated spectrum (1 cm-1)

Su et al., Science 340, 174 (2013)

Page 5: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

5

Experimental setup

Page 6: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

6Absorption spectrum at 0.25 cm-1 resolution

0

2

4

6

1450 1400 1350 1300 1250 1200 950 900 850 800

0

2

4

6

A

bsor

banc

e / 1

0-

Wavenumber / cm-

0-12.5 μs

0-25 μs

1 cm-1

0.25 cm-1

CH2I2/N2/O2 (0.13/2.77/97.12)@248 nm, Pt = 94 torr

ν8

ν6ν4

ν3 ν5

Su et al., Science 340, 174 (2013)

Page 7: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

7Spectral analysis: near prolate approximation a

b

c

κ = -1 prolateκ = +1 oblate

for CH2OO

Parallel transitions

𝐹 (𝜐 , 𝐽 ,𝐾 )=𝜈𝜐+(𝐴¿¿𝜐−~𝐵𝜐)𝐾 2+~𝐵𝜐 𝐽 ( 𝐽+1 ) ¿

~𝑩𝝊=(𝑩𝝊+𝑪𝝊)

𝟐

Perpendicular transitions

𝜈 𝐽 ,𝐾=𝜈0+ [ Δ 𝐴− Δ~𝐵 ] 𝐾2+∆~𝐵 𝐽 ( 𝐽+1 )

𝜈 𝐽 ,𝐾=𝜈0+ [ Δ 𝐴− Δ~𝐵 ] 𝐾2+(∆~𝐵 𝐽+2~𝐵′ ) ( 𝐽+1 )

ΔJ = 0, Q branch

ΔJ = 1, R branch

ΔJ = -1, P branch 𝜈 𝐽 ,𝐾=𝜈0+ [ Δ 𝐴− Δ~𝐵 ] 𝐾2+¿

,

𝜈 𝐽 ,𝐾=𝜈0+ (𝐴′ −~𝐵′)+[ Δ 𝐴− Δ~𝐵 ] 𝐾2 ± 2 (𝐴′ −~𝐵′ )𝐾Q branch

a-type

b-type & c-type

Rotational constants of vibrational ground state

M. Nakagima and Y. Endo, J. Chem. Phys. 139, 101103 (2013)

Cs

Page 8: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

-15 -10 -5 0 5 10 15

4.0

4.1

4.2

4.3

4.4

4.5

4.6

4.7

R

spac

ing

(K2)

P

V8

y = -0.023 x+ 4.33

0

2

900 890 880 870 860 850 840 830 820 810 800

0

2

A

bsor

banc

e / 1

0-

Wavenumber / cm-

Expt. 1 cm-1

8

Spectral analysis of ν8

CH2 wagging (ν8) c-type

0

2

900 890 880 870 860 850 840 830 820 810 800

0

2

RQ6RQ

5RQ

4RQ

3PQ

5PQ

6PQ

7PQ

8

A

bsor

banc

e / 1

0-

Wavenumber / cm-

Δ𝜈= [ Δ 𝐴− Δ 𝐵 ] Δ(𝐾¿¿2)+2 (𝐴′ −𝐵′ )¿

cm-1 ground ν8

ν 847.3

A 2.59355 2.57862

B 0.41580 0.41475

C 0.35762 0.35807

0

5

0

2

Simulation

RQ6RQ

5RQ

4RQ

3PQ

5PQ

6PQ

7PQ

8

Expt. 0.25 cm-1

Expt. -0.023 2.17

simulation -0.015 2.19

Page 9: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

2

4

950 940 930 920 910 900 890 880 870 8600

2

4

A

bsor

banc

e / 1

0-

Wavenumber / cm-

Expt. 1 cm-1

9

Spectral analysis of ν6

O-O stretching (ν6) a-type:b-type = 0.98:0.02

Δ𝜈=¿

9

𝜈 𝐽 ,𝐾=𝜈0+ [ Δ 𝐴− Δ 𝐵 ] 𝐾2+∆𝐵𝐽 ( 𝐽+1 )

Δ B < 0

Δ A -Δ B <0, from Q

cm-1 ground ν6

ν 909.2

A 2.59355 2.57880

B 0.41580 0.41330

C 0.35762 0.35539

Expt. 0.25 cm-1

0

2

4

0

2

4

Simulation

RQ6RQ

5RQ

4RQ

3PQ

5PQ

6PQ

7PQ

8

Expt. 0.25 cm-1

Δ𝜈=2𝐵′+2 Δ 𝐵( 𝐽+1)

Page 10: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

2

4

6

0

2

4

6

1480 1460 1440 1420 1400 1320 1300 1280 1260 1240

0

1

2

3

Expt. 0.25 cm-1

Simulation

Expt. 1 cm-1

Wavenumber / cm-

A

bsor

banc

e / 1

0-

10

Simulation of ν3 and ν4

CH2 scissor/ C=O str. (ν3)a-type:b-type = 0.99:0.01

cm-1 ground ν3 ν4

ν 1434.1 1285.7

A 2.59355 2.59976 2.5954

B 0.41580 0.41504 0.4190

C 0.35762 0.35658 0.3540 C=O str./CH2 scissor (ν4)a-type:b-type=0.88:0.12

0

1

2

0

1

2

1480 1460 1440 1420 1400 1320 1300 1280 1260 1240

0

1

2

3

Expt. 0.25 cm-1

Simulation

Expt. 1 cm-1

Wavenumber / cm-

A

bsor

banc

e / 1

0-

Page 11: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

Expt. 1 cm-1

11

Simulation of ν5

0

1

2

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 1180

0

1

2

A

bsor

banc

e / 1

0-

Wavenumber / cm-

CH2 rocking (ν5)a-type:b-type = 0.53:0.47

cm-1 ground ν5

ν 1241

A 2.59355 2.61000

B 0.41580 0.41641

C 0.35762 0.35627

?

Expt. 0.25 cm-1

0

1

2

0

1

2

Simulation

CH2I + O2 → CH2IOO*

CH2OO + I↓

Page 12: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

1

0

1

0

1

1400 1300 1200 1100 1000 900 8000

1

102 torr

A

bsor

banc

e/ 1

0-2

206 torr

303 torr

wavenumber / cm-1

403 torr

12

Pt = 102 torr

Pt = 206 torr

Pt = 303 torr

CH2I2/N2/O2 + 308 nm under different PN2 1-7 μs, R = 1cm-1

Pt = 403 torr

0

5

0

20

40

substracted spectraPt= 403 torr

A

bsor

banc

e/ 1

0-3

simulation of CH2IOO

Inte

nsity

/ ar

b. u

nit

Page 13: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

4

8

1340 1320 1300 1280 1260 1240 1220 1200 1180

0

4

8

Expt. 0.5 cm-1

Simulation

b

sorb

ance

/ 10

-

Wavenumber / cm-

Observed spectra of CH2IOO and simulations

CH2I2/O2/N2 (0.06/16/94)@308 nm, Pt = 300 torr

CH2OO ν4

CH2IOO ν4 = 1233.6 cm-1

CH2IOO ν5 = 1228 cm-1

13

Page 14: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

1

2

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 11800

1

A

bsor

banc

e / 1

0-

Wavenumber / cm-

Expt. 1 cm-1

14

Simulation of ν5

CH2 rocking (ν5)a-type:b-type = 0.53:0.47

?Expt. 0.25 cm-1

0

1

2

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 11800

1

A

bsor

banc

e / 1

0-

Wavenumber / cm-

1213 cm-1

CH2IOO : ν4 = 1233.6 cm-1, ν5 =1228 cm-1

Simulation

ν5 of CH2OO ?

Page 15: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

2

4

0

2

4

1350 1300 1250 1200 1150 950 900 850 8000

6

12

Expt.

Simulation

Wavenumber / cm-

SimulationA

bsor

banc

e / 1

0-

15

Identification of Dioxirane ?Comparison of observed spectrum with simulated spectrum (0.25 cm-1)

Page 16: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 1180

0.0

1.5

3.0

Wavenumber / cm-

b

sorb

ance

/ 10

- Expt.

simulation

16

cm-1 ground ν3 ν7

ν dioxirane 1231.5 1213.2

A 0.96657 0.9715 0.9605

B 0.83578 0.8372 0.8302

C 0.49301 0.4945 0.4966 C-O sym. str. (ν3)b-type

CH2 rock (ν7)c-typeSuenram and Lovas, J. Am. Chem. Soc. 100, 5117 (1978)

Dioxirane: ν3 and ν7

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 1180

0.0

1.5

3.0

Wavenumber / cm-

b

sorb

ance

/ 10

- Expt.

simulation

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 1180

0.0

1.5

3.0

Wavenumber / cm-

b

sorb

ance

/ 10

- Expt.

simulation

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 1180

0.0

1.5

3.0

Wavenumber / cm-

b

sorb

ance

/ 10

- Expt.

simulationν5 of CH2OO : 1230.7 cm-1

Page 17: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

17

cm-1 ground ν3 ν7

ν dioxirane 1231.5 1213.2

A 0.96657 0.9715 0.9605

B 0.83578 0.8372 0.8302

C 0.49301 0.4945 0.4966 C-O sym. str. (ν3)b-type

CH2 rock (ν7)c-type

Dioxirane: ν3 and ν7

Suenram and Lovas, J. Am. Chem. Soc. 100, 5117 (1978)

1290 1280 1270 1260 1250 1240 1230 1220 1210 1200 1190 1180

0.0

1.5

3.0

Wavenumber / cm-

b

sorb

ance

/ 10

- Expt.

simulation

Page 18: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

18

cm-1 ground ν9

ν dioxirane 899.8

A 0.96657 0.95956

B 0.83578 0.83700

C 0.49301 0.50264C-O asym. str. (ν9)

a-type

Dioxirane: ν9

Suenram and Lovas, J. Am. Chem. Soc. 100, 5117 (1978)

950 940 930 920 910 900 890 880 870 860

0

5

Wavenumber / cm-

b

sorb

ance

/ 10

-

Expt. 0.25 cm-1

Simulation

950 940 930 920 910 900 890 880 870 860

0

5

Wavenumber / cm-

b

sorb

ance

/ 10

-

Expt. 0.25 cm-1

Simulation

Page 19: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

3

1450 1400 1350 1300 1250 1200 950 900 850 8000

3

Expt. 0.25 cm-1

Sum of Simulation

Wavenumber / cm-

A

bsor

banc

e / 1

0-

1. High resolution IR spectrum of CH2OO• definative assignment of ν3, ν4, ν6 and ν8

• ν5 was misassigned• band origins of ν3, ν4, ν6 and ν8 are determined

19

Summary

CH2OO ν3 ν4 ν5 ν6 ν8

Expt. 1434.1 (15) 1285.7 (32

) 1230.7 (8) 909.2 (100) 847.3 (12

)

Theo. 1458 (31) 1302 (16

) 1220 (18) 892 (106

) 853 (30)

Page 20: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

3

1450 1400 1350 1300 1250 1200 950 900 850 8000

3

Expt. 0.25 cm-1

Sum of Simulation

Wavenumber / cm-

A

bsor

banc

e / 1

0-

20

Summary2. IR absorption spectrum of CH2IOO

• overlapped bands of ν4 / ν5 and ν7 (overlapped with CH2OO)• yield increases with pressure

CH2IOO ν4 ν5 ν7

Expt. 1233.6 (27) 1228 (6) 919 (13)

p-H2 Matrix 1231.8 (53) 1225.6/1226.5 (19) 917.7 (50)

Theo. 1235 (28) 1231 (35) 901.4 (50)

Page 21: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

3

1450 1400 1350 1300 1250 1200 950 900 850 8000

3

Expt. 0.25 cm-1

Sum of Simulation

Wavenumber / cm-

A

bsor

banc

e / 1

0-

21

Summary

3. Possible observation of Dioxirane

Dioxirane ν3 ν7 ν9

Expt. 1231.5 (23) 1213.2 (2) 899.8 (10)

Theo. 1238 (48) 1149 (7) 911 (26)

0

3

1450 1400 1350 1300 1250 1200 950 900 850 8000

3

Expt. 0.25 cm-1

Sum of Simulation

Wavenumber / cm-

A

bsor

banc

e / 1

0-

2. IR absorption spectrum of CH2IOOCH2IOO ν4 ν5 ν7

Expt. 1233.6 (27) 1228 (6) 919 (13)

p-H2 Matrix 1231.8 (53) 1225.6/1226.5 (19) 917.7 (50)

Theo. 1235 (28) 1231 (35) 901.4 (50)

Page 22: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

22

Thanks for your attention!

Acknowledements:• Prof. Yuan-Pern Lee• Kuo-Hsiang Hsu, Yu-Te Su, and all the group members• National Science Council of Taiwan and the Ministry of Education

Page 23: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

23

Page 24: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

1

0

1

0

1

1400 1300 1200 1100 1000 900 8000

1

102 torr

206 torr

A

bsor

banc

e/ 1

0-2

wavenumber / cm-1

303 torr

403 torr

24

Pt = 102 torr

Pt = 206 torr

Pt = 303 torr

Pt = 403 torr

Subtracted spectra: spectra of CH2IOO

1-7 μs, R = 1cm-1

Page 25: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

25

0

5

1400 1300 1200 1100 1000 900 800

0

20

40

exptl. spectra403 torr

A

bsor

banc

e/ 1

0-3

simulation cis-CH2IOO

Inte

nsity

/ ar

b. u

nit

Wavenumber / cm-1

Observed spectra of CH2IOO and simulations

ν0 and relative intensity adopted from spectra in p-H2 matrix

Page 26: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

1340 1320 1300 1280 1260 1240 1220 1200 1180

0

4

8

Wavenumber / cm-

b

sorb

ance

/ 10

-

26

Observed spectra of CH2IOO and simulations

CH2I2/O2/N2 (0.06/16/94)@308 nm, Pt = 300 torr

Page 27: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

27

ν7νC-O/wCH2

ν6νO-O/wCH2

ν3sCH2

ν4rCH2

ν5tCH2

ν8wCH2

Mode description p-H2 matrix

COO deform. 490.2C-I str. 550.5

CH2 wag. 841.6/841.1C-O 917.7O-O 1085.6

CH2 torsion 1225.6/1226.5CH2 rock 1231.8CH2 sci. 1408.9CH2 str. 2982.4

ν: stretch, δ: bend or deformation, δs: scissor, ω: wag, ρ: rock, τ: torsion

Page 28: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

28

1450 1400 1350 1300 1250 1200 950 900 850 800

0

1

2

3

4

5

b

sorb

ance

/ 10

-

Wavenumber / cm-

Observed spectra of CH2OO and simulationsCH2OO υ(0.25 cm-1) Normalize

ν4 1285.7 32ν5 1230.7 8

dioxirane υ(0.25 cm-1)  ν3 1231.5 23ν7 1213.2 2

CH2IOO υ(0.25 cm-1)  ν4 1233.6 5ν5 1228 1

CH2OO υ(0.5 cm-1) Normalizeν4 1285.7 32ν5 1230.7 8

dioxirane υ(0.5 cm-1)  ν3 1231.5 15ν7 1213.2 1

CH2IOO υ(0.5 cm-1)  ν4 1233.6 27ν5 1228 6

Page 29: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

29

0

10

0

3

6

1340 1320 1300 1280 1260 1240 1220 1200 1180 1160

0

1

308 nm40 torr

308 nm300 torr

248 nm95 torr

Page 30: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

30

0

20

0

5

10

960 940 920 900 880 860

0

3

308 nm40 torr

308 nm300 torr

248 nm95 torr

Page 31: Study of the CH 2 I + O 2 Reaction with a Step-scan Fourier-transform Infrared Absorption Spectrometer: Spectra of the Criegee Intermediate CH 2 OO and

0

2

4

950 940 930 920 910 900 890 880 870 8600

2

4

A

bsor

banc

e / 1

0-

Wavenumber / cm-

Expt. 1 cm-1

0

2

4

950 940 930 920 910 900 890 880 870 8600

2

4

A

bsor

banc

e / 1

0-

Wavenumber / cm-

31

Spectroscopic analysis of ν6

O-O stretching (ν6) a-type:b-type = 0.98:0.02

Δ𝜈=2𝐵′+2 Δ 𝐵( 𝐽+1) Δ𝜈=¿

31

𝜈 𝐽 ,𝐾=𝜈0+ [ Δ 𝐴− Δ 𝐵 ] 𝐾2+∆𝐵𝐽 ( 𝐽+1 )

Δ B < 0

Δ A -Δ B <0, from Q

cm-1 ground ν6

ν 909.2

A 2.59355 2.57880

B 0.41580 0.41330

C 0.35762 0.35539

Expt. 0.25 cm-1

0

2

4

0

2

4

Simulation

RQ6RQ

5RQ

4RQ

3PQ

5PQ

6PQ

7PQ

8

5 10 15 20 25 300.55

0.60

0.65

0.70

0.75

R branch

spac

ing

J+10 5 10 15 20 25

0.81

0.84

0.87

P branch

spac

ing

(2J+1)