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Oliver321

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New poster has been reminded to fill out the Homework Help Template when starting a new thread in the Schoolwork forums

I am learning for my exam in particle physics. One topic is statistical physics. There I ran into this question:

Consider an atom at the surface of the Sun, where the temperature is 6000 K. The

atom can exist in only 2 states. The ground state is an s state and the excited state at

1.25 eV is a p state. What is the probability to find the atom in the excited state?

My attempt to solve this problem was to use Maxwell-Bolzmann-energy-distribution (because the atoms are relatively far apart I may not use fermi-dirac or Bose-Einstein statistic): I take one mole of atoms. First calculate N(E), than determine the number of particles which are over 1.25 eV (integral from N(1.25eV) to N(infinity)). Than I can take the ratio and consequently I get the probability.

My concern with that method is, that i think it must be way easier to solve, cause in general the problems I get to solve are solvable with less calculating.

One other problem I have no solution to is followed:

In a metal the Fermi energy describes

(1) the highest occupied energy state of a free electron at zero temperature

(2) the minimum energy necessary to remove an electron from the metal

(3) the mean thermal energy of the atoms at temperature T

(4) the energy necessary to break the bonds between the metal atoms

I would say 1 and 2 are right. Normally only one awnser is possible. But I don’t know which should be wrong and why.

I appreciate every help! Thank you very much!

Consider an atom at the surface of the Sun, where the temperature is 6000 K. The

atom can exist in only 2 states. The ground state is an s state and the excited state at

1.25 eV is a p state. What is the probability to find the atom in the excited state?

My attempt to solve this problem was to use Maxwell-Bolzmann-energy-distribution (because the atoms are relatively far apart I may not use fermi-dirac or Bose-Einstein statistic): I take one mole of atoms. First calculate N(E), than determine the number of particles which are over 1.25 eV (integral from N(1.25eV) to N(infinity)). Than I can take the ratio and consequently I get the probability.

My concern with that method is, that i think it must be way easier to solve, cause in general the problems I get to solve are solvable with less calculating.

One other problem I have no solution to is followed:

In a metal the Fermi energy describes

(1) the highest occupied energy state of a free electron at zero temperature

(2) the minimum energy necessary to remove an electron from the metal

(3) the mean thermal energy of the atoms at temperature T

(4) the energy necessary to break the bonds between the metal atoms

I would say 1 and 2 are right. Normally only one awnser is possible. But I don’t know which should be wrong and why.

I appreciate every help! Thank you very much!

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