State the structural factors of NaCl, F in mmm wwwwwwwww fNa and fCl (f = atomic scattering factor). Also determine the condition (h k 1) so that ummuwwwwwwww the value of F = 0.
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- The measured density of a KCl crystal is 1.984 g/cm3. What is the equilibrium separation distance of K+ and Cl- ions?The characteristic energy for KCl is 1.4105eV . (a) Determine for the KC1 molecule, (b) Find the separation distance between the K arid Cl atoms.In solid KCI the smallest distance between the centers of a. potassium ion and a chloride ion is 314 pm. Calculate the length of the edge of the unit cell and the density of KCI, assuming it has the same structure as sodium chloride.
- The parameters o and & in Lennard-Jones potential in Argon (Ar) crystals are o = 3.40 x 10-10 m and ɛ = 1.67 x 10-21 J. The lattice sums for the BCC (body-centered cubic) structures are E C" Pī12 = 9.11418, ECC Pī = 12.2533, and the lattice sums for the FCC structures are 2CC Pī12 = potential, calculate the equilibrium separation and cohesive energies (in unit of electron voltage or eV) for BCC and FCC configurations. -6 %3| 12.13188, ECC Pi = 14.45392. Using the Lennard-Jones %3DHcp structure. Show that the c/a ratio for an ideal hexagonal closed-packed structure is () = 1.633. If c/a is significantly larger than this value, the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked.Silicon is doped with phosphorus atoms (column V of Mendeleev table) with a concentration of 1018 cm-3 a- What is, at 27 °C, the electron density in doped Si. Use this result to derive the hole density. Which type of semiconductor is obtained? b- Calculate, at 27 °C, the position of the Fermi level EF and plot the band diagram.
- Set up the relevant equations with estimates of all missing parameters. The molecular bond (spring constant) of HCl is about 470 N/m. The moment of incrtia is 2.3 x 10-47 kg-m². (a) At 300 K what is the probability that the molecule is in its lowest excited vibrational state? (c) Of the molecules in the vibrational ground state what is the ratio of the number in the gronnd rotational state to the number in the first excited rotational state?When the ions at their equilibrium interionic separation, the force of attraction between a divalent (valency of 2) cation and a monovalent (valency of 1) anion is 7.32 × 10−9 N. If the ionic radius of the cation is 0.05 nm, what is the anion radius (nm)? Round your result to 2 decimal place.Define the following terms: (i) Single Crystalline, Polycrystalline and Amorphous materials, (ii) Lattice, basis and crystal structure,(iii) Bravais lattice. Distinguish between the coordination number and the number of atoms per unit cell. Find both these numbers for a simple cubic lattice, a body centered cubic lattice and a face centered cubic lattice. (a)