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  3. (a) one of the first \"pure\" bose einstein conden

(a) One of the first \"pure\" Bose Einstein condensates was created with a low density (1020...

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Physics

(a) One of the first \"pure\" Bose Einstein condensates wascreated with a low density (1020 molecules per cubicmeter) gas of lithium with an atomic mass of 7.02 u. What is thecritical temperature for the transition to a Bose Einsteincondensate for lithium? Assume the spin for the atom is 1. Thetemperatures actually achieved in these experiments were below 100nK. What fraction of the lithium molecules are in the Bose EinsteinCondensate phase at 100 nK?

________K, critical temperature

______ fratction of atoms in BEC phase

(b) A spectral line of wavelength 382 nm is known to split intothree lines in the presence of strong magnetic fields due to theZeeman effect. In a magnetic field of 4 T, what is the minimumresolution needed on a spectrometer to observe the splitting ofthis spectral line?

_______ nm

(c) What are the energy and wavelength of photons emitted in aJ=3 to J=2 transition in the rotational spectrum of anO2 molecule? The bond length is 0.121 nm. Give youranswer in millielectron volts (meV) and in millimeters (mm).

_____ meV

_____mm

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