P11B.7 The microwave spectrum of 16O*CS gave absorption lines (in GHz) as follows: 1 3 4 325 24.32592 36.488 82 48.651 64 60.814 08 23.732 33 47.462 40 Use the expressions for moments of inertia in Table 11B.1, assuming that the bond lengths are unchanged by substitution, to calculate the CO and CS bond lengths in OCS. Table 11B.1 Moments of inertia* I= 4m,R m 1. Diatomic molecules m. R Im u= R 2. Triatomic linear rotors I=m,R*+m_R* m. R R' m. m (m,R-m_R') m I= 2m, R *f(e)=1-cose, f,(@)=1+2cost; in each case, m is the total mass of the molecule. R. m 3. Symmetric rotors 1=2m, f,(@)R? me 1=m,f,(e)R (m, +m,)f,(e)R* R m R (3m, +m, )R +6m, R+f,(@)}R m 4=2m,f,(@)R² 1=mf,(@)R m. m m 1=4m,R m. I_=2m,R² +2%¸R°² R m. m. R mc 4. Spherical rotors m I=#m,R m m

P11B.7 The microwave spectrum of 16OCS gave absorption lines (in GHz) as follows: 1 3 4 325 24.32592 36.488 82 48.651 64 60.814 08 23.732 33 47.462 40 Use the expressions for moments of inertia in Table 11B.1, assuming that the bond lengths are unchanged by substitution, to calculate the CO and CS bond lengths in OCS. Table 11B.1 Moments of inertia I= 4m,R m 1. Diatomic molecules m. R Im u= R 2. Triatomic linear rotors I=m,R+m_R m. R R' m. m (m,R-m_R') m I= 2m, R f(e)=1-cose, f,(@)=1+2cost; in each case, m is the total mass of the molecule. R. m 3. Symmetric rotors 1=2m, f,(@)R? me 1=m,f,(e)R (m, +m,)f,(e)R R m R (3m, +m, )R +6m, R+f,(@)}R m 4=2m,f,(@)R² 1=mf,(@)R m. m m 1=4m,R m. I_=2m,R² +2%¸R°² R m. m. R mc 4. Spherical rotors m I=#m,R m m

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

P11B.7 The microwave spectrum of 16O*CS gave absorption lines (in GHz) as
follows:
1
3
4
325
24.32592
36.488 82
48.651 64
60.814 08
23.732 33
47.462 40
Use the expressions for moments of inertia in Table 11B.1, assuming that the
bond lengths are unchanged by substitution, to calculate the CO and CS bond
lengths in OCS.

Table 11B.1 Moments of inertia*
I= 4m,R
m
1. Diatomic molecules
m.
R
Im
u=
R
2. Triatomic linear rotors
I=m,R*+m_R*
m.
R
R'
m.
m
(m,R-m_R')
m
I= 2m, R
*f(e)=1-cose, f,(@)=1+2cost; in each case, m is the total mass of the molecule.
R.
m
3. Symmetric rotors
1=2m, f,(@)R?
me
1=m,f,(e)R
(m, +m,)f,(e)R*
R
m
R
(3m, +m, )R
+6m, R+f,(@)}R
m
4=2m,f,(@)R²
1=mf,(@)R
m.
m
m
1=4m,R
m.
I_=2m,R² +2%¸R°²
R
m.
m.
R
mc
4. Spherical rotors
m
I=#m,R
m
m

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