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13 Dec 2019

At extremely low temperatures, molecules condense into a singlequantum state and become a "supermolecular wavefunction" withspecial properties, inclduing the extension of the moleculethroughout space. This is called "Bose-Einstein Condensation"

a) Explain, using the translational partition function andassociated properties, how the molecule condenses into a singlequantum state.

b) Explain why, in this quantum state, the molecule wavefunctionessentially spreads throughout space. Explain based on statisticalthermodynamics; what function relates to the "spread" of themolecular wavefunction?

c) IF you trap a thiophosgene (CSCl2) molecule in a 1 mLchamber, at what temperature would the molecule condense into asingle quantum state and spread its wavefucntion throughout the 1mL chamber?

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