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12. Determine which of the following configurations has the most number of microstates. (The notation, N:a,b.c.......
give the ground-state Russell-Saunders terms for the following electronic configurations (a) Give the ground-state Russell-Saunders terms...
give the ground-state Russell-Saunders terms for the following
electronic configurations
(a) Give the ground-state Russell-Saunders terms for the following electronic configurations: i. (3d) ii. (41) (Hint: S, P, D, F, G, H, I... for L=0, 1, 2, 3, 4, 5, 6 ...) (4 marks each, total 8 marks) (b) Determine ALL the atomic term symbols for the electronic configuration p3. Calculate the number of microstates and deduce the ground state term using Hund's rule. (10 marks)
(TOTAL MARKS: 25) QUESTION 4 (15 marks] Q4(a) Assume 4 fermionic particles (N=N,+NA+N, -4) populate 3...
(TOTAL MARKS: 25) QUESTION 4 (15 marks] Q4(a) Assume 4 fermionic particles (N=N,+NA+N, -4) populate 3 degenerate energy levels E <E, <E, with 8, = 4,8, = 3.8, = 2 and N, 2N, 2N, What are the possible macrostates of this system ? (3 marks) (l) For each macrostate found at (), count the number of possible microstates using sketches showing the quantum state occupation number in each energy level. (7 marks) (H) Retrieve your results at (ii) if the...
1. Consider a quantum system comprising three indistinguishable particles which can occupy only three individual-partic...
1. Consider a quantum system comprising three indistinguishable particles which can occupy only three individual-particle energy levels, with energies ε,-0, ε,-2e and ε,-3. The system is in thermal equilibrium at temperature T. Suppose the particles are bosons with integer spin. i) How many states do you expect this system to have? Justify your answer [2 marks] (ii) Make a table showing, for each state of this system, the energy of the state, the number of particles (M, M,, N) with...
Question 3 a) Consider the hypothetical case of two degenerate quantum levels of energy E1, E2...
Question 3 a) Consider the hypothetical case of two degenerate quantum levels of energy E1, E2 (E. < Ez) and statistical weights g1 = 4, 92 = 2. These levels have respective populations N1 = 3 and N2 = 1 particles. What are the possible microstates if the particles are (1) bosons (6 marks) or (ii) fermions (6 marks)? AP3, PHA3, PBM3 PS302 Semester One 2011 Repeat page 2 of 5 b) Show how the number of microstates would be...
11-4 Five indistinguishable particles are to be distributed among the four equally spaced energy levels shown...
11-4 Five indistinguishable particles are to be distributed among the four equally spaced energy levels shown in Fig. -2 with no restriction on the number of particles in each energy state. If the total energy is to be 1261. (a) specify the occupation number of each level for each macrostate, and (b) find the number of microstates for each macrostate, given the energy states represented in Fig. 11-2. 11-5 (a) Find the number of macrostates for an assembly of four...
11 Consider an assembly of N-4 particles in a system which has equally spaced non degenerate...
11 Consider an assembly of N-4 particles in a system which has equally spaced non degenerate energy levels, U-0.e,2e,3e, The total energy of the system is U 6. a) Assuming the particles are distinguishable, how many distributions of the particles over the energy levels are possible? List all of them in a table showing the number [7] of particles, n, in each energy level U b) To which particle statistics does this scenario correspond? c) How many microstates contribute to...
The compound K3[NiF6] is paramagnetic. Determine the oxidation number of nickel in this compound, the most...
The compound K3[NiF6] is paramagnetic. Determine the oxidation number of nickel in this compound, the most likely geometry of the coordination around the nickel, and the possible configurations of the d electrons of the nickel. Oxidation number ___-7-6-5-4-3-2-10+1+2+3+4+5+6+7 Geometry Configurations (t2g)n(eg)m Weak field n = m = Strong field n = m =
Question 9 Consider a quantum system comprising two indistinguishable particles which can occupy only three individual-particle...
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...
23. Which of the following would be most significant in understanding the structure of an ecological...
23. Which of the following would be most significant in understanding the structure of an ecological community? I. determining how many species are present overall II. determining which particular species are present III. determining the kinds of interactions that occur among organisms of different species IV. determining the relative abundance of species A. only I and III B. only II and IV C. only I, II, and III D. only II, II, and IV E. I, I1, III, and IV...
Question 12. Which of the following particles has a lepton number of zero? A. Ve B.p...
Question 12. Which of the following particles has a lepton number of zero? A. Ve B.p C. ut D. et Question 13. An electron is in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls. A graph of its wavefunction y(x) versus x is shown. The value of quantum number n is: m C. 4 D. 6 A. 2 B. 0 Question 14. The significance of jy is: A. energy density B....
give the ground-state Russell-Saunders terms for the following
electronic configurations
(a) Give the ground-state Russell-Saunders terms for the following electronic configurations: i. (3d) ii. (41) (Hint: S, P, D, F, G, H, I... for L=0, 1, 2, 3, 4, 5, 6 ...) (4 marks each, total 8 marks) (b) Determine ALL the atomic term symbols for the electronic configuration p3. Calculate the number of microstates and deduce the ground state term using Hund's rule. (10 marks)
(TOTAL MARKS: 25) QUESTION 4 (15 marks] Q4(a) Assume 4 fermionic particles (N=N,+NA+N, -4) populate 3 degenerate energy levels E <E, <E, with 8, = 4,8, = 3.8, = 2 and N, 2N, 2N, What are the possible macrostates of this system ? (3 marks) (l) For each macrostate found at (), count the number of possible microstates using sketches showing the quantum state occupation number in each energy level. (7 marks) (H) Retrieve your results at (ii) if the...
1. Consider a quantum system comprising three indistinguishable particles which can occupy only three individual-particle energy levels, with energies ε,-0, ε,-2e and ε,-3. The system is in thermal equilibrium at temperature T. Suppose the particles are bosons with integer spin. i) How many states do you expect this system to have? Justify your answer [2 marks] (ii) Make a table showing, for each state of this system, the energy of the state, the number of particles (M, M,, N) with...
Question 3 a) Consider the hypothetical case of two degenerate quantum levels of energy E1, E2 (E. < Ez) and statistical weights g1 = 4, 92 = 2. These levels have respective populations N1 = 3 and N2 = 1 particles. What are the possible microstates if the particles are (1) bosons (6 marks) or (ii) fermions (6 marks)? AP3, PHA3, PBM3 PS302 Semester One 2011 Repeat page 2 of 5 b) Show how the number of microstates would be...
11-4 Five indistinguishable particles are to be distributed among the four equally spaced energy levels shown in Fig. -2 with no restriction on the number of particles in each energy state. If the total energy is to be 1261. (a) specify the occupation number of each level for each macrostate, and (b) find the number of microstates for each macrostate, given the energy states represented in Fig. 11-2. 11-5 (a) Find the number of macrostates for an assembly of four...
11 Consider an assembly of N-4 particles in a system which has equally spaced non degenerate energy levels, U-0.e,2e,3e, The total energy of the system is U 6. a) Assuming the particles are distinguishable, how many distributions of the particles over the energy levels are possible? List all of them in a table showing the number [7] of particles, n, in each energy level U b) To which particle statistics does this scenario correspond? c) How many microstates contribute to...
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...
23. Which of the following would be most significant in understanding the structure of an ecological community? I. determining how many species are present overall II. determining which particular species are present III. determining the kinds of interactions that occur among organisms of different species IV. determining the relative abundance of species A. only I and III B. only II and IV C. only I, II, and III D. only II, II, and IV E. I, I1, III, and IV...
Question 12. Which of the following particles has a lepton number of zero? A. Ve B.p C. ut D. et Question 13. An electron is in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls. A graph of its wavefunction y(x) versus x is shown. The value of quantum number n is: m C. 4 D. 6 A. 2 B. 0 Question 14. The significance of jy is: A. energy density B....
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