The lowest frequency microwave transition of the 1²CO molecule occurs at 3.8626 cm-'. This transition corresponds to the J= 0 →J= 1 rotational transition. (a) From theJ=0→J=1 transition energy, calculate the rotational constant (in cml) of the 12CO molecule. (b) What is the energy (in units of cm-') for the J= 1 → J=2 rotational transition of 12CO? (c) Calculate the rotational constant for the 1³CO molecule. (d) Using the 12CO or 1³CO rotational constant, calculate the bond length for CO.

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The lowest frequency microwave transition of the 12CO molecule occurs at 3.8626 cm-'. This
transition corresponds to the J= 0 → J= 1 rotational transition.
(а)
From the J= 0 →J=1 transition energy, calculate the rotational constant (in cm-') of the
12CO molecule.
(b)
What is the energy (in units of cm-l) for the J= 1→J=2 rotational transition of 12²CO?
(c)
Calculate the rotational constant for the 13CO molecule.
(d)
Using the 12CO or 13CO rotational constant, calculate the bond length for CO.
Transcribed Image Text:The lowest frequency microwave transition of the 12CO molecule occurs at 3.8626 cm-'. This transition corresponds to the J= 0 → J= 1 rotational transition. (а) From the J= 0 →J=1 transition energy, calculate the rotational constant (in cm-') of the 12CO molecule. (b) What is the energy (in units of cm-l) for the J= 1→J=2 rotational transition of 12²CO? (c) Calculate the rotational constant for the 13CO molecule. (d) Using the 12CO or 13CO rotational constant, calculate the bond length for CO.
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