actually i tried and could not get the correct identity which is equal to the RHS identity. can you please help me. Document Preview: Dr. Reinhard K. Kremer Magnetism and Magnetic Materials Brock University Course No. PHYS 5P74 (2012) 4th Homework Assignment (due Friday May 16, 2014) 1. Adiabatic Demagnetization Use the results of Problem 3rd HW exerc. 4. and plot the quantity Cmag/T for two different fields, e.g. 0.1 Tesla and 1 Tesla. Use for the Bohr magneton convenient units: ./67.01TKB=æ The magnetic entropy, Smag(H, T) is given by the quantity ()()./,,0dTTTHCTHSTmagmag?= Use either a program to integrate or discuss qualitatively the temperature dependence of the magnetic entropy for the two fields (1 Tesla and 0.1 Tesla). What is the consequence for the temperature of the magnetic system, if the field is ramped from 1 Tesla to 0.1 Tesla adiabatically, i.e. without allowing the magnetic system to exchange heat with its environment while ramping the magnetic field? 2. Point charge crystal field potential of a regular octahedron Equal positive point charges are placed on each of the six corners of an octahedron. Taking the origin of a set of Cartesian coordinates to be the centre of the octahedron, show that the potential close to the centre is given by ????????????????+??????-+++=654444405343564arOrzyxaaqVpe Where q is the magnitude of each charge and a the distance between the origin and each charge. (Hint: use a Taylor series expansion of ()2/11-+x; (Blundells problem 3.2) 3. Quenching of the Orbital Moment in a p system in an Orthorhombic Crystal Elctric Field (CEF) Show that the functions ?x=x f(r), ?y=y f(r) and ?z=z f(r) are indeed eigenfunctions of the square of the angular momentum operator, i.e. show that ()nnllL??12+=? with l=1, i.e. the ?n form a complete set of orthogonal p wavefunctions. 4. Towards Exchange Interaction: Antiferromagnetically Spin-exchange coupled dinuclear unit (dimer), with center each center carries S=1/2 Consider a dinuclear magnetic unit consisting of magnetic centers each one carrying a spin S=1/2. Assume that they are coupled by a spin-exchange Attachments: HW4-Qn-2Tra.pdf HW-4-Qn-2-tip.pdf
Use the order calculator below and get started! Contact our live support team for any assistance or inquiry.
[order_calculator]