A substance that heats up relatively quickly has a O low specific heat. many strong molecular interactions. O complicated molecular structure. O phase transition at that temperature. O high specific heat.
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- →all empty stoter portially filled ---- energy f:lled Stater //// gap (a) (6) (c) s portialh T7 empty 197 (e) shoon above belog to; (d) The ener8y band digrams -n type semicondeter (5-c) - metal -p-type se - intrinnic S.c. i. Match them correctly i1. Frplain your reasoning for each, (2-3 words) be done to (b) to get diapram in (e) i.what canCalculate the kinetic energy of 10 guarn of Augen molecules at 127°C. I Univerval gas Constant. R= £320J/K mole K. Atomic weight of Augon = 40].calculate The Pot ential of the p-n divider created in the re st from two 22 parches, one containing 3. donor atoms and the other Cont ain9 18 corresponding atoms at rom temperature if you knou that hi =1.9*10/m ut
- 3b.1. Show that the heat capacity at the high T limit and the low T limit are: at high T: → Cv = 3R at low T: E T ⒸE 1 -> 0 2 ² (5) *exp(-OF) → Cv (T) ≈ 3RA system with 3 (three) indistinguishable particles has five energy states: E1 = 0, E2 = E, E3 = 2E, E4 = 3E, Es = 4E. Determine the possible formation if it satisfies: a. Fermi Direct Statistics?a) Starting from a general fornula of desity of States. g(k) dk= Vkdk 272 Show that g(w) dw= 3x Vw°dw for Phonons under the assumption thait the phonoh dre aicoustic, meaning U = does not depend 3. on W or k. 3N b) In a solid of N atoms, there are vibrational modes(phonons) with the highat frequercy Wp.
- 1. A model for the potential energy interaction between the two nitrogen atoms in the N2 molecule is proposed that has the form: v(4) = 4E, (4)* - ()'] 12 a. Find the position of the potential minimum and its value there, in terms of o and Eo, respectively. What do these parameters represent physically about the molecule? b. Draw a hand sketch of V(r) showing rmin, V(rmin) and where V crosses the r axis. c. If the atom is disturbed from its equilibrium by a small amount, show that the 7.56. frequency of oscillation is w = d. For molecular nitrogen, the bond length is 1.1 x 10-1°m, the bond (binding) energy is 9.79 eV (15.66 x 10-19 J), the mass is 14 amu = 23.38 x 10-27 kg. In the spectroscopy laboratory, this vibration is measured to be 8.8 x 1013 Hz. Is this a good model for the interatomic potential? (Recall o = 2n times frequency in Hz) where m is the mass of a nitrogen atom.1. Pressure and bulk modules of an electron gas. (a) Derive a relation connecting the 3 pressure and volume of an electron gas at OK. Hint: Use the result of U == the relation between & and electron concentration. The result may be written as 200 3V 5p B = = p= 10U 3 9V of the electron gas contribution to B. NE N&F and . др (b) Show that the bulk modules B = -V. of an electron gas at OK is av . 5 (c) Estimate for potassium, using Table 1 of the textbook, the valueHep structure. Show that the cla ratio for an ideal hexagonal close-paeked struc- ture is G) = 1.633. If cla is signifieantly larger than this value, the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked. 1/2
- 5) Find an explicit relation for the chemical potential u of a 2DEG at a finite temperature.The cell membrane has ion channels that can exist in two states, open or closed. When they are open, they let Na+ ions through. The energy of the open state is 4*10^-20 J. higher than the state of the closed channel. a. What proportion of the ion channels are open at a temperature of 20 C? b. How high should the temperature be so that 75% of the channels are open? Don't use Chat GPT otherwise I will report from bartleby.1. For a one-dimensional fermion gas, calculate the density of energy levels g(e).