a) In a centrifuge rotating with angular frequency ω, a molecule of mass m1feels an effective potential energy -m1r2ω2/2 when it is a distance r away from the center of the centrifuge. The molecule is part of an ideal gas with internal chemical potential µint=τ log(n1/nQ1), where n1is the number of molecules per unit volume and nQ1 = (m1τ/2π2)3/2. Show that 22111mrn (r) = n (0)exp2ωτb) When a gas contains two different isotopes 1 and 2, the formula from part a) applies to each isotope separately with appropriate choice of subscripts. Derive a formula for the enrichment factor [n
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This note was uploaded on 12/29/2011 for the course PHYSICS 404 taught by Professor Anlage during the Fall '11 term at Maryland.