rotational spectroscopy

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Last updated 11:37 AM on 4/15/26
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11 Terms

1
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for rigid rotor - what is the general spectrum shape (absorption vs frequency)

2
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<p>how do you find J<sub>max</sub> from this?</p><p>what is J<sub>max</sub>? what do you need to remember when calculating it</p>

how do you find Jmax from this?

what is Jmax? what do you need to remember when calculating it

differentiate to find maximum

Jmax is the Jth level that gives max absorption

  • round down to an integer value (as it is a quantum number)

<p>differentiate to find maximum</p><p>J<sub>max</sub> is the J<sup>th</sup> level that gives max absorption </p><ul><li><p>round down to an integer value (as it is a quantum number)</p></li></ul><p></p>
3
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<p>explain why these rotational spectra are different (CO<sub>2</sub> vs H<sub>2</sub>O)</p>

explain why these rotational spectra are different (CO2 vs H2O)

CO2 - moment of inertia is the same in all 3 directions

H2O - different moments of inertia for x,y,z means different rotational spectra

4
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<p>show diagram of diatomic molecule</p><ul><li><p>show m<sub>A</sub>, m<sub>B</sub> and R</p></li><li><p>what is m? what is I?</p></li></ul><p></p>

show diagram of diatomic molecule

  • show mA, mB and R

  • what is m? what is I?

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5
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<p>show diagram of triatomic linear rotors</p><ul><li><p>label m<sub>A</sub>, m<sub>B</sub>, m<sub>C</sub> and R</p></li><li><p>what is I? what is the specific selection rule?</p></li></ul><p></p>

show diagram of triatomic linear rotors

  • label mA, mB, mC and R

  • what is I? what is the specific selection rule?

ΔJ = ±1

<p><span>ΔJ = ±1</span></p>
6
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<p>show diagram of spherical rotors with 4 atoms</p><ul><li><p>label m<sub>A</sub>, m<sub>B</sub>, m<sub>C</sub> etc and R</p></li><li><p>what is I?</p></li></ul><p></p>

show diagram of spherical rotors with 4 atoms

  • label mA, mB, mC etc and R

  • what is I?

knowt flashcard image
7
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<p>show diagram of spherical rotors with 6 atoms</p><ul><li><p>label m<sub>A</sub>, m<sub>B</sub>, m<sub>C</sub> etc and R</p></li><li><p>what is I? what is the specific selection rule?</p></li></ul><p></p>

show diagram of spherical rotors with 6 atoms

  • label mA, mB, mC etc and R

  • what is I? what is the specific selection rule?

knowt flashcard image
8
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what is a symmetric rotor?

taken spherical and changes mass of one atom or removed one

9
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in specific selection rules - what is K?

the projection of J onto the principal axis of the molecule

10
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show symmetric rotor with 4 atoms

  • label mA, mB, mC etc and R and any angles of importance

  • what is I? what is the specific selection rule?

ΔJ = ±1 and ΔK = 0

<p>ΔJ = ±1 and ΔK = 0</p>
11
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