Question

calculate the number of microstates corresponding to each of the following combinations:

Calculate the number of microstates corresponding to each of the following combinations: 4. a. b. c. d. e. A system with three particles and four energy bands A system with 15 particles and four energy levels A system with four particles and 15 energy levels A cluster of 50 particles each of which may reside in any of 30 energy levels 1000 particles that may reside in 100 energy levels

Answer 1

The number of microstates ohm = (energy states) ^N_0 where N_0 is number of particles in the system. 3 particles and 4 energy bands ohm = 4^3 = 64 15 particles and 4 energy level ohm = 4^15 4 particles and 15 energy levels ohm = 15^4 = 225^2 = 50, 625 50 particles and 30 energy levels ohm = 30 ^50 1000 particles and 100 energy levels ohm = 100^1000 macrostate is specified by assigning a no. of particles to each of available atomic states. Ohm = (No. of energy states) ^No. of particles