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- Consider an exciton in bulk GaAs. Estimate the magnitude of the externally applied electric field for which the exciton is likely to ionise. Assume the exciton Bohr radius of 10 nm.Check Your Understanding If a=3+4i , what is the product a* a?Check Your Understanding Can the magnitude of Lzever be equal to L?
- (4) Derive the formula of mobility. Calculate the velocity of holes in a p-type of germanium due to its thermal energy at 77 K and due to the application of 4000 V/cm electric field across the piece of germanium.For stellar atmospheres the free electron pressures Pe typically range from of order 1 dyn cm^−2 for the coolest stars to of order 1000 dyn cm^−2 for the hottest stars. Estimate the range of free electron number densities for stellar atmospheres from the hottest to coolest main sequence stars.Given: R is the midpoint of QS, ZRPQ =ZRTS prove: APQR = ATSR P.
- The population density, Ni, corresponding to a discrete energy level, E₁, for a group of N like particles in Local Thermodynamic Equilibrium (LTE) state can be described by the following equation N₂ 9₁c-Ei/(KRT) Z(T) N i) Define the remaining quantities or constants in the above equation. ii) = Produce an expression for Z(T) as a function of T. In order to calculate Z(T) for a particular atomic gas such as argon, what atomic data or information needs to be made available before the calculation is carried out? iii) To uniquely describe the population density distribution corresponding to different discrete energy levels of a diatomic molecular gas such as CO in equilibrium, how many Z(T) functions need to be used and why?Calculate the number of quantum states in intrinsic gallium arsenide for a hole per cubic cm with Calculate the number of quantum states in intrinsic gallium arsenide for a hole N energies between Ev and Ey - 0.23 eV cubic cm with Ny =(a) Compute the Clebsch-Gordan coefficients for the states with J Ji + J2, M = m1 + m2, where ji for the various possible m1 and m2 values. (b) Consider the reactions: 1 and j2 = 1/2, and j = 3/2, M = 1/2 %3| n*p + n*p (i) (ii) (iii) These reactions, which conserve isospin, can occur in the isospin I = 3/2 state (A resonance ) or the I ratios of these cross-sections, ơ¡ : Oii : ơiii, for an encrgy corresponding to 1/2 state (N* resonance). Calculate the a A resonance and an N* resonance respectivcly. At a resonance energy you can neglect the effect due to the other isospin states. Note that the pion is an isospin I = 1 state and the nucleo1n an isospin I = 1/2 state.
- What is the smallest value that ℓ may have if L is within 10° of the z axis?Q\ Derive the relationship of the ratio of spontaneous to stimulated emission probabilities? R = exp (hu/KT) - 1Write down for yourself the expression for the radial distribution function of a 2s electron in a hydrogenic atom and determine the radius in Angstroms at which the electron is most likely to be found. Assume the species has an atomic number of 2. (Ans. in Agstroms)