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However, in no instance do we have a complete quantitative description of the binding forces. Theory can provide the form of the interatomic potential, and the three experimental parameters related to the energy curve at its midnimum can be used to compute adjustable parameters in the theory. ) Fig. 1 Energy of a collection of particles. 2 COHESION IN METALS Most metals tend to crystallize in the high symmetry fee, bcc, or hcp structures because these configurations maximize the cohesive energy.

Neglecting the variation of P with specific volume, show that the Gruneisen constant can be expressed by: X2ex E(x)= (e X Jo2(eyy4 -ey 1)2 d H(x) =lf (for 0 oG) 23 'Y 2 -•- 1 2 p/aV 2 )T ýfV (a(Cap/bV)T *The Einstein and Debye functions are such that when the Einstein model alone is applied, Cv = 3RE(OE/T), and when the Debye model alone is applied, Cv = 3RH(eD/T). Chapter 3 Crystal Structures The periodic three-dimensional array of atoms in a crystalline solid constitutes the crystal lattice of the substance.

Each of the crystal systems illustrated in Fig. possesses a primitive lattice, in which the parallelepiped conforms to the restrictions placed on the crystal axes and which contains atoms only on its corners. When used in this sense, the term primitive is slightly different from the notion of a primitive unit cell. All the 14 members of the group of fundamental lattices that comprise the seven crystal systems shown in Fig. 6 can be reduced to a primitive unit cell. However, only one member of each system has a primitive unit cell that also obeys the symmetry conditions defining the crystal system.

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