Problem 2. A certain atom has a threefold degenerate ground level, a non-degenerate electronically excited level at 350...
Problem 3. A certain atom has a doubly degenerate ground level pair and an upper level of four degenerate states at 450 cm-above the ground level. In an atomic beam study of the atoms it was observed that 30 per cent of the atoms were in the upper level, and the translational temperature of the beam was 300 K. Are the electronic states of the atoms in thermal equilibrium with the translational states?
A certain atom has a doubly degenerate ground level pair and an upper level of four degenerate states at 450 cm^-1 above the ground level. In an atomic beam study of the atoms it was observed that 30 per cent of the atoms were in the upper level, and the translational temperature of the beam was 300 K. Are the electronic states of the atoms in thermal equilibrium with the translational states?
The NO molecule has a doubly degenerate excited electronic level 121.1cm-1 above the double degenerate electronic ground term. (a) Calculate the electronic partition function of NO at T=0K, T=298K and T=1000K. (b) Evaluate the populations of ground and excited states and (c) the mean electronic energy at 298K.
The NO molecule has a double degenerate electronic ground state and a double degenerate excited state at 121.1 cm- 1. Calculate and plot the electronic contribution to the molar heat capacity of the molecule up to 500K
Section IV 13. Explain what happens to the molecular partition function () in the limits of Tinfinity and T→0 for a system that has a five-fold degenerate ground state, a nondegenerate first excited state, and a three-fold degenerate second excited state. There are no other states in this system. (5 pts)
Section IV 13. Explain what happens to the molecular partition function () in the limits of Tinfinity and T→0 for a system that has a five-fold degenerate ground state,...
4. A certain molecule can exist in either a non-degenerate singlet state or a triplet state (with degeneracy 3). The energy of the triplet exceeds that of the singlet by E. Assuming that the molecules are distinguishable (localized) and independent, (a) obtain the expression for the molecular partition function. (b) Find expressions in terms of e for the molar energy, molar heat capacity, and molar entropy of such molecules and calculate their values at T = E/k.
1) If the electron starts out in the ground state and is excited
to level E3 by an incoming photon, what was the wavelength of that
photon (in nm)?
a) 95.4 nm
b) 102.5nm
c) 121.5nm
d) 136.7 nm
e) 182.3 nm
2) When the electron transitioned from E1 to E3 its orbital
radius increased by a factor of:
A) 1 (It didn’t change)
B) 2
C) 3
D) 4
E) 9
3) What is the longest wavelength the hydrogen...
Consider a two-level system where the ground state has an energy of 0 kJ mol-1 and is non-degenerate, and the higher state has an energy of ε kJ mol-1 and is triply degenerate. What is the population of the ground state at temperature I (Kelvin)? Select one: o a. 17(3 + exp(-ɛ/kT)) b. 1/(1 + 3exp(-€/kT)) O c. 3/(1 + 3exp(-ɛ/kT)) O O d. 3/(1 + exp(-3ɛ/kT))
An atom in a solid has two energy levels: a ground state of degeneracy g_1 and an excited state of degeneracy g_2 at an energy Delta above the ground state. Show that the partition function atom is Z_atom is Z_atom = g_1 + g_2 e^-beta Delta. (a) Show that the heat capacity of the atom is given by C = g_1 g_2 Delta^2 e^-beta Delta/k_B T^2 (g_1 + g_2 e^-beta Delta)^2. A monatomic gas of such atoms has a partition...
2. The ground level of Cl is 2P3/2 and a 2P1/2 level lies 881 cm–1 above it. Calculate the electronic contribution to the heat capacity of Cl atoms at (a) 500 K and (b) 900 K.