In solid state course show that the lattice constant is : SC = [2 x r] FCC = [4 x r / (2)1/2] BCC = [4 x r / (3)1/2]
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- p9C.1 Familiarity with the magnitudes of overlap integrals is useful when con- sidering bonding abilities of atoms, and hydrogenic orbitals give an indication of their values. (a) The overlap integral between two hydrogenic 2s orbitals is 1 ( ZR ZR +. 2а, " 12 а, 1 + ZR 240 a, -ZR/Z0 S(2s, 2s)={1+ Plot this expression. (b) For what internuclear distance is S(2s,2s) = 0.50? (c) The side-by-side overlap of two 2p orbitals of atoms of atomic number Z is ZR 1 ( ZR ZR S(2p,2p) ={1+ 10 a, 2a, 120 a. Plot this expression. (d) Evaluate S(2s,2p) at the internuclear distance you calculated in part (b).Graph below shows the electron occupancy probability P(E) as a function of energy for Bismuth (mBi = 3.47 × 10-25 kg) at the temperature T = 0 K. What is the number of conduction electrons per unit volume for Bismuth? 1 1 2 3 4 5 6 7 8 E (ev) P(E)H1.
- View a system of two particles that do not interact with each other, where each particle can occupy three possible states, each with energy &, 2ɛ, 3E (i) Marwell-Boltzmann: Na. Configuration 1 2 3 4 S 6 7 2 9 Nader Conligation 1 2 2 + 1 2 5 6 (1) Fermi-Dirac 3 No. Configuration E AG A A B B AA A A Distinguishable 28 E AB (6) Boson: Base- Ginstein: Indistinguishable င် A A B A A 8 28 AA A A 38 A 2 A AB B A CO B A JE AA A A Energy system A A wwwww Indistinguishable We know formion follow exclusion principle. 28 38 Smarty tem 28 32 38 4E SE SE Energy system 22 48 68 38 48 SE 38 4€ SE Calculate the average energy of the system as a temperature function for the three statistics above.Consider the energy levels of the Hydrogen atom. The allowed H-atom energy levels are given by the equation: En - 13.6 eV n² What is the energy gap between the two lowest energy levels in the Hydrogen atom? 10.2 eV 6.40 eV 12.1 eV 13.6 eV 3.40 eV7. Nickel (fcc) has the lattice parameter of 3.52 Å. Calculate the atomic planar density (number of atoms per unit area) on (100), (110) and (111) planes. Is it possible to pack the atoms more closely than in (111) plane? (1.61×10¹⁹, 1.14x10¹⁹, 1.86x10¹⁹ atoms m-²; No)