122ch11e

# 122ch11e - 48 11.84 a b 49 11.90 50 11.90(cont 51...

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48 11.84) a) b)

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49 11.90)
50 11.90) (cont.)

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51 11.90) (cont.)
52 11.94) a) Calculate the net number of particles in the following cubic unit cells. i) simple cubic unit cell ( primitive cubic u.c.), sc or pc - lattice points at the corners Figure from BLB 10 th ed, Prentice Hall In a simple cubic (sc) crystal structure you have particles at the corner lattice points. Each corner is shared by 8 u.c. When you “pull out” a u.c. from a simple cubic crystal you get 1/8 of a particle (sphere) at each corner. Since 1 corner of the u.c. is shared by 8 other u.c. in the extended crystal lattice, when 1 u.c. is pulled out only 1/8 of a particle (sphere) is at any corner. 1/8 particle/corner x 8 corners = 1 particle/uc Note : There is not 1 whole particle in a sc u.c. but a total of 1 particle in terms of mass and volume.

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53 11.94) (cont.) ii) body - centered cubic unit cell, bcc - lattice points at the corners and body center of the cube Figure from BLB 10 th ed, Prentice Hall In a body-centered cubic (bcc) crystal structure you have particles at the corner lattice points and in the middle of the cube (body center). Since 1 corner of the u.c. is shared by 8 other u.c. in the extended crystal lattice, when 1 u.c. is pulled out only 1/8 of a particle (sphere) is at any corner. The particle in the middle of the cube is not shared by any other cubes in the extended lattice (it is a whole particle). (1/8 particle/corner x 8 corners) + ( 1 particle/center x 1 center)=
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## This note was uploaded on 07/17/2008 for the course CHEM 122 taught by Professor Zellmer during the Summer '07 term at Ohio State.

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122ch11e - 48 11.84 a b 49 11.90 50 11.90(cont 51...

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