Calculating the BoseEinstein Condensation Temperatureby Mr LoganC Tags: bose, condensate, einstein, temperature 

#1
Mar612, 12:45 AM

P: 19

1. The problem statement, all variables and given/known data
Estimate the BoseEinstein condensation temperature of Rb 87 atoms with density of 10^11 atoms per cm^3. 2. Relevant equations [itex]T=\frac{n^{2/3}h^{2}}{3mK_{B}}[/itex] 3. The attempt at a solution This should be just a standard plug and chug question, but my answers are not even close to reasonable! I would expect to get anywhere from 500nK to 50nK for an answer, but I am getting thousands of Kelvin! Are my units wrong? I am using Boltzman constant with units of [itex]eV\bullet K^{1}[/itex] and Plank's with units of [itex]eV\bullet s[/itex]. Then I am using the density in Atoms per m^3 and the mass of a single Rb 87 atom in Kg. Am I missing something here with units? That is the only thing I can think is wrong. 



#2
Mar612, 10:48 AM

P: 52

At first glance I would use joules (Nxm) instead of eV since since other units are SI...




#3
Mar612, 12:08 PM

P: 19





#4
Mar612, 12:14 PM

P: 19

Calculating the BoseEinstein Condensation Temperature**** It Worked! Thank you Bloby! Final answer was 16nK, which seems pretty reasonable to me for a BoseEinstein Condensate. 


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