Calculate Fermi Temperature for 3He & Neutron Stars

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SUMMARY

The discussion focuses on calculating the Fermi temperature for liquid 3He and neutrons in a neutron star. The relevant equations include the number density formula, Kf^3 = 3π^2 * n for the Fermi radius, and the relationship Tf = Ef/Kb for Fermi temperature. The density of liquid 3He is specified as 81 kg/m³, while the density of neutrons in a neutron star is given as 10^17 kg/m³. Participants emphasize the need for a solid understanding of the underlying physics concepts to solve these problems effectively.

PREREQUISITES
  • Understanding of Fermi energy and temperature calculations
  • Familiarity with number density and its calculation using Avogadro's number
  • Knowledge of quantum mechanics principles related to fermions
  • Basic proficiency in using Boltzmann's constant in thermodynamic equations
NEXT STEPS
  • Research the properties of liquid 3He and its quantum behavior
  • Study neutron star physics, focusing on the behavior of neutrons under extreme densities
  • Learn about the derivation and application of the Fermi energy equation
  • Explore advanced topics in statistical mechanics related to fermionic systems
USEFUL FOR

Students and researchers in physics, particularly those focusing on condensed matter physics and astrophysics, will benefit from this discussion. It is especially relevant for anyone studying the properties of fermions and their applications in extreme environments.

raintrek
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Homework Statement



Calculate T(fermi), the fermi temperature for

a) Liquid 3He (density 81kg/m^3) [these are not electrons]
b) neutrons in a neutron star (density 10^17 kg/m^3)

Homework Equations



n, number density = z*Na*p / M (Na=avogadro, z=valence,p=density,M=molecular mass)

Kf^3 = 3pi^2 * n (Kf = fermi radius)

Ef = hbar^2 * Kf^2 / 2*m (fermi energy)

Tf = Ef/Kb (Kb - boltzmann)

The Attempt at a Solution



Only ever done these where we're dealing with electrons (for ex, potassium etc). Not sure where to go with it...
 
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raintrek said:
Only ever done these where we're dealing with electrons (for ex, potassium etc). Not sure where to go with it...
That's not good enough. PF rules require that you show your attempt. What have you studied?
There must be something in your studies that hints at how to solve this problem.
 

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