Suppose that the wavenumber of the J = 1 ← 0 rotational transition of 1H79Br considered as a rigid rotor was measured to be 17.89 cm-1, what is(a) the moment of inertia of the molecule? ______ kg-m2(b) the bond length?  ______ Angstroms(Given the isotopic masses:(m(79Br) = 78.9183 amu, m(81Br) = 80.9163 amu)

Question
Asked Nov 10, 2019

Suppose that the wavenumber of the J = 1 ← 0 rotational transition of 1H79Br considered as a rigid rotor was measured to be 17.89 cm-1, what is
(a) the moment of inertia of the molecule? ______ kg-m2
(b) the bond length?  ______ Angstroms
(Given the isotopic masses:(m(79Br) = 78.9183 amu, m(81Br) = 80.9163 amu)

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Expert Answer

Step 1
The wavenumber in terms o tvansibion and otaonal
coustant is
expression
Tiken Lay au
AE
he B[I(J+)-TT-)
hic = 2he BJ
2BJ
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The wavenumber in terms o tvansibion and otaonal coustant is expression Tiken Lay au AE he B[I(J+)-TT-) hic = 2he BJ 2BJ

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Step 2
expression
(2)
The rotational coustaut e qireu y
4xCI
SubsHhite equation e) in cquatiou (i)
*ल)
2tr
J
upRer
to
2CT
21
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expression (2) The rotational coustaut e qireu y 4xCI SubsHhite equation e) in cquatiou (i) *ल) 2tr J upRer to 2CT 21

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Step 3
23 14) (30Xidem17-81w
CM
1•0546 x o사
337 0416X lo° s
0.003129 x l0- 44
B129 X 10T
21
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23 14) (30Xidem17-81w CM 1•0546 x o사 337 0416X lo° s 0.003129 x l0- 44 B129 X 10T 21

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