Helium Absorption | Grand Partition Function & <N>

  • Thread starter Thread starter Lyons_63
  • Start date Start date
  • Tags Tags
    Absorption Helium
AI Thread Summary
The discussion centers on calculating the Grand Partition function for a system in thermal and diffusive equilibrium with helium gas on a metal surface. The key equation for the partition function is presented as z = Σ e^(-β(Ni)(εi-μ)). Participants express confusion about how to incorporate the states of the surface being either occupied by a helium atom or vacant. The average thermal occupancy <N> of a site is also to be derived, but the initial steps remain unclear to contributors. Clarifying these concepts is essential for solving the homework problem effectively.
Lyons_63
Messages
3
Reaction score
0

Homework Statement



The atomic site that is in thermal and diffusive equilibrium with a gas of Helium atoms that is on the surface of a metal can either absorb an atom of Helium or it can be vacant.
(a) What is the Grand Partition function of the system?
(b) Derive the average thermal occupancy <N> of a site

Homework Equations





The Attempt at a Solution


I have no idea where to even begin!
 
Physics news on Phys.org
The partition function is given by z = Ʃ e^ -β (Ni) (εi-μ)
how do you account for the fact that the surface is either vacant or not
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

De broglie wavelength for helium and distance between atoms
Replies
1
Views
4K
Partition function of a particle with two harmonic oscillators
Replies
2
Views
2K
Thermodynamics Problem involving an ideal gas Helium?
Replies
23
Views
4K
Energy of a crystal in thermal equilibrium
Replies
1
Views
2K
Control rods nuclear reaction equation, moles liberated, pressure
Replies
47
Views
4K
Stat-Mech problem: pressure from a partition function
Replies
4
Views
2K
Partition Function for a helium atom
Replies
5
Views
6K
I Connecting the microcanonical with the (grand) canonical ensemble
Replies
37
Views
5K
A Number of particles in canonical ensemble
Replies
9
Views
2K
How Do You Calculate the Average Kinetic Energy of Multiple Helium Atoms?
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top