A certain atom has a doubly degenerate ground level, a triple degenerate electronically excited level at 1250 cm-1, and a doubly degenerate level at 1300 cm-1. Calculate the partition function of these electronic states at 2000 K.

Problem 35-28: What is the ground-state energy in electron volts of 10 noninteracting fermions each with a mass of 5.02E-27 kg in a one- dimensional box of length L 3.90E-10 m ? (Because the quantum number associated with spin can have two values, each spatial = state can hold two fermions.) 0.044 eV

The value of a partition function roughly represents the maximum energy of the states at a given temperature. O True False

Consider a particle moving in a one-dimensional box with walls at x = -L/2 and L/2. (a) Write the wavefunction and probability density for the state n=1. (b) If the particle has a potential barrier at x =0 to x = L/4 (where L = 10 angstroms) with a height of 10.0 eV, what would be the transmission probability of the electrons at the n = 1 state? (c) Compare the energy of the particle at the n= 1 state to the energy of the oscillator at its first excited state.