One-, two-, and three-dimensional free electron gases. Consider the Sommerfeld model for the free electron in 1, 2, and 3 dimensions. Assume that the dimensions of the crystal are length L, Area A, or volume V, respectively. Take the orbital degeneracy as one (as treated in class), and the spin degeneracy as gs (two in class). Show that for the various dimensions the values of kF, EF, and N(E) are:

For questions 1 and 2, consider the following experimental data.hydrogen emission lines were detected at the following wavelengths (in nm): 121.6102.697.395.093.8question 1use the electromagnetic radiation classifications below and figure 1-1 in the introductory information for this lab (in the lab manual) to determine the nf value for the experimental data provided? wavelength, ? (nm) 650 700 550 600 400 450 500 visible spectrum wavelength, ? (m) 11 10 3 10 10 10 8 10 5 10 10 -10 10 9 10 10 10 10 -12 10 microwave radio infrared x-ray ultraviolet gamma 1020 1019 1018 1 1016 015 1014 01 12 109108 frequency, v (hz)a.1b. 2c. 3d. 4e. 5question 2using the data for the emission line with the longest wavelength, the known value of nf (from question 1 in this prelab), and the value of ni (deduced from the ? and nf values) calculate the rydberg constant for hydrogen (rh) in units of m-1.a) 1.097 x 10-11 m-1b) 5.921 x 107 m-1c) 1.097 x 10-2 m-1d) 9.252 x 106 m-1e) 1.097 x 107 m-1

Lord kelvin described the concept of absolute zero temperature and the laws relating to the change of thermal energy during chemical reactions what type of chemist would he be considered today

Which of the following is the most likeley example of an favorable mutation a. a mutation that makes a rabbit able run faster b. a mutation that changes the rabbit's fur to bright orange c. a mutation that changes the color of the rabbit's eyes d. a mutation that gives a rabbit a third ear