Past exam of the chemistry A course of the University of Cambridge / 2021 / Paper 1 / A3 / a / i

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- Solution i

Solution

Place the carbon and sulfur nuclei on a line separated by

r

, with masses

m_{C}

and

m_{S}

. The center of mass lies between them and closer to the heavier sulfur nucleus. In the linear rigid rotor approximation,

r

remains fixed while the molecule rotates.

Figure 1.
Original carbon monosulfide rotor diagram showing masses, bond length and distances from the center of mass
. Details.

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