Heat capacity and equipartition Find the classical physics prediction for the heat capacity of10 cm3of a substance which crystallises as FCC and has lattice constant 571 pm.
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Heat capacity and equipartition Find the classical physics prediction for the heat capacity of10 cm3of a substance which crystallises as FCC and has lattice constant 571 pm.
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- Consider spherical nanoparticles of copper with diameters of 10 and 100 nm. A) Calculate the total number of atoms in the particles,considering the lattice parameter of bulk Cu. B) Calculate the number of atoms at the grain boundaries for a typical grain boundary thickness of 1nm.Q#04. Calculate the number of atoms per unit area in (100), (110) and (111) planes of in bcc crystal with the lattice parameter of 2.5 angstrom.For a material having FCC crystal cell structure, write the expressions for Planar atomic density in planes (0,0,1) and (1,1,0) in terms of atomic radius ‘r’ and calculate for Copper in gms/cm3 . Why metal shows directional nature of properties at atomic level whereas its bulk measured properties are isotropic in nature.
- Calculate the ratio of electron to lattice heat capacities for Cu at T=0.3o, 4o,20o,77o and 300o K. The lattice heat capacity of Cu is given.Q#02. Answer the followings: (a) Elucidate the salient features of reciprocal lattice and how does it help to investigate the crystal structures. (b) What do you mean by Brillion zone and how it is related to the reciprocal space? (c) Write the salient features of the powder crystal method to determine crystal structure.Determine the distance between nearest (110) planes in a simple cubic lattice with a lattice constant of an = 4.83 Å. (Ỵ T' The lattice constant of a face-centered-cubicstructure is 4.75 Å. Calculate the surface density of atoms for (a)a (100) plane and (b) a (110) plane. (Ans. (a) 8.86 x 104 cm-2, (b) 6.27 x 1014 cm-?]
- The intrinsic carrier concentration of silicon (Si) is expressed as - E n₁=5.2×10¹5T¹.5exp- i electrons at 30°C. n = cm -3 g 2kT cm -3 where Eg = 1.12 eV. Determine the density of Round your answer to 0 decimal places.Find an expression for the density of states of one mole of NaCl crystal. (Ctrl) -Consider a Face Centered Cubic (FCC) lattice structured Nickel crystal. We are looking to find the surface energy of the new surface that is formed after it is sliced at the (100) plane. a- Find the value of R as function of the lattice constant a. 4R Oa = 2R Oa = 4R Oa = = 2/2R V2 Find the area A11 of (111) surface as function of R. 04R? O16R? O8R? OR? How many atoms lie on the plane (111) within the unit cell? N111 = atoms within the unit cell Find the number of atoms per unit surface area. 2 2 R2 8R2 16R? 4R? Which of the following represents the expression of the surface energt? ON BEPA
- The atoms of an FCC lattice are hard spheres touching the surfaces of the nearest neighbors. f the effective radius of atom is 4.25 Angstrom, what is the volume density (cm 3)?Hep 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. 1/2B) A (BCC) crystal has an atomic radius (1.24A"). What is the interplaner spacing of (201)?