Question

In: Physics

1. A paramagnetic solid with three levels A paramagnetic solid is composed of N dipoles of...

1. A paramagnetic solid with three levels A paramagnetic solid is composed of N dipoles of magnetic moment μ⃗. The dipoles can be oriented at 0 (in alignment), 90 or 180 degree (opposite alignment) relative to an external magnetic field B⃗. The system is in equilibrium at a temperature of T. (a) Evaluate the single–particle partition function for a dipole. (b) Calculate the mean mignetic dipole moment μ. (c) Derive approximate expressions for μ in the weak–field and strong–field limits.

Solutions

Expert Solution


Related Solutions

1 (a) . Show that the zero-point energy of a Debye solid composed of N atoms...
1 (a) . Show that the zero-point energy of a Debye solid composed of N atoms is equal to 9/8NkΘD. This implies, for each vibrational mode of the solid, a mean zero-point energy 3/8 kΘD, that is,  = 3/4 ωD. (b)Show that, for T < θd,="" the="" quantity="">P − CV) of a Debye solid varies as T7 and hence the ratio (CP/CV)  1
A)paramagnetic material with N atoms/cm^3 and with L=0,S=1/2 calculate the number of atoms in two levels...
A)paramagnetic material with N atoms/cm^3 and with L=0,S=1/2 calculate the number of atoms in two levels at the temp T and in the field H also calculate the resultant magnitization. B)Compute vales for the population for N=10^22cm^-3,H=25Tesla ,T=300k and 4k.
1. Electric Dipoles vs Magnets. Name 2-3 similarities between electric dipoles and magnets in broad terms...
1. Electric Dipoles vs Magnets. Name 2-3 similarities between electric dipoles and magnets in broad terms of forces and motion. Name 1-2 differences between electric dipoles and magnets. 2. Explain the meaning of Magnetic Field Superposition. What is superimposed on what?
A statistical system is composed of N particles with spin 1 2 , immersed in a...
A statistical system is composed of N particles with spin 1 2 , immersed in a magnetic field H. The particles are fixed in their positions and possess a magnetic moment µ. The Hamiltonian of such a system is H = −µH X N i=1 σi where σi = ±1 (a) Given that the separation between the spins in the lattice is larger than their de Broglie wavelength, should the spins be treated as distinguishable or indistinguishable particles? (b) Write...
Consider the transition from energy levels n = 1 to n = 3 a) what is...
Consider the transition from energy levels n = 1 to n = 3 a) what is the frequency and wavelength associated with this transition? b) in what spectral region does this transition occur? c) is energy absorbed? 9) What type of electron orbital (i.e. s, p, d, or f) is designated by a) n = 2, l = 1, ml = -1?    b) n = 1, l = 0, ml = 0?    c) n = 5, l =...
There are three levels (levels 1 – 3) of assessment that a student must pass to...
There are three levels (levels 1 – 3) of assessment that a student must pass to complete an external course. From previous information, out of 1,000 students who undertook the course, the failures were 150 at level 1; 300 at level 2; and 120 at level 3. To be awarded a degree, students’ needs to pass all three levels. To be awarded a diploma, a student must pass at least 2 levels. Students who can pass only 1 level gets...
Consider only transitions involving the n =1 through n = 4 levels for the hydrogen atom
a Consider only transitions involving the n =1 through n = 4 levels for the hydrogen atom. How emission lines are possible, considering only the four quantum levels? b Consider only transitions involving the n = 1 through n = 4 energy levels for the hydrogen atom.Photons of the lowest energy are emitted in a transition from the level with n = _______  to a level with n = _______  c Consider only transitions involving the n = 1 through n = 4...
There is a quiz show that is composed of three rounds. A contestant solves Question 1...
There is a quiz show that is composed of three rounds. A contestant solves Question 1 first and if she gets the right answer, then she will move on to next round to answer Question 2, and if she also answers correctly, then she will go to final round to answer Question 3. If she fails to answer correctly, then she is not allowed to go on to the next round. The probability that she knows the answer to Question...
16. Cu(s) is an example of a(n): a.molecular solid b.ionic solid c.Nonbonding atomic solid d.Metallic atomic...
16. Cu(s) is an example of a(n): a.molecular solid b.ionic solid c.Nonbonding atomic solid d.Metallic atomic solid e.Network covalent atomic solid Answer: D Please solve this step by step. Let me know if I am suppose to memorize anything
15. H2O(s) is an example of a(n): a.Molecular Solid b.ionic solid c.Nonbonding atomic solid d.Metallic atomic...
15. H2O(s) is an example of a(n): a.Molecular Solid b.ionic solid c.Nonbonding atomic solid d.Metallic atomic solid e.Network covalent atomic solid Answer:A Please solve this step by step. Let me know if I am suppose to memorize anything. Provide examples of why the rest can't be the answer.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT