Imagine a particle that can exist in only 3 states or levels. These energies levels are –0.1 eV, 0.0 eV, and +0.1 eV. This particle is in eq with a reservoir at T = 300 K.
A) Find the partition function for this particle. I want a number and a unit. Comment on what you would expect, and what the partition function tells you!
B) Find the relative probability (%) for the particle to be in each of these states. Hint: Verify that these 3 percentages add to 100% in both parts b and c.
C) Now adjust the energy-zero reference point, so that the lowest energy is at 0.0 eV and the next states are therefore at + 0.1 eV and + 0.20 eV. Repeat parts “a” and “b” above using these new energies, and comment on the results.
Imagine a particle that can exist in only 3 states or levels. These energies levels are...
please complete the solution for(d,e,f) parts only 1. 80 Consider a system where a particle can only be in one of three states with energy 0 eV, +.05 eV, and +0.1 eV. (a) What is kТ at room temperature (298 K) in eV? (b) Calculate (write an explicit expression for) the partition function for this system as a function of temperature. (c) What is value of the partition function at room temperature? (d) What are the probabilities of being in...
1. Imagine that a particle can exist in one of the three states: |0 > , |1 >, |2> . We now consider 2 such particles. How many distinguishable states are possible if the particles are (a) distinguishable (b) indistinguishable, classic (c) bosons (d) fermions. Write down the wave function of the system for all cases.
Question 9 Consider a quantum system comprising two indistinguishable particles which can occupy only three individual-particle energy levels, with energies 81 0, 82 2 and E3 38.The system is in thermal equilibrium at temperature T. (a) Suppose the particles which can occupy an energy level. are spinless, and there is no limit to the number of particles (i) How many states do you expect this system to have? Justify your answer (ii) Make a table showing, for each state of...
Systems with variable numbers of particles1 y Imagine a solid with sites on which particles can be localized. Each site can have 0, 1, or 2 particles; each particle on the site can be in one of two states, Vior 42 with energy E, or €2. We neglect the interaction between particles even if they are localized on the same site. (a) Write down the grand partition function for one site if the particles are bosons, and deduce the grand...