3.55

General Chemistry (4th Edition)

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Unformatted text preview: 3.55 [a] A. {Dflfllj plane fer an HEP unit cell 1&- Shaw belcu'. Each cf the fi pe111neter atoms in this plane is shared 1with three I11l1er unit cells: whereas the center atI11n is shared 1arith 11:1 DtllE'l' unit cells; this gives rise 1c: three equivalent atcins belnnging 1:1 this plane. In terms cf the atcanic radius R. the area ef each af the ti equilateral triangles that have been drawn is R: 1Ill—1.ar the tatal area cf the plane sheun is d R: E. And the planar density far this {HEIDI} plane is equal 1-:- PD _ nuinher efatmns centered e11 [HEIDI] plane '“lfll’l area affifllflfl 1} plane .1 atcuns l _ 15113111 _ 11134.11 {b} Frcan the table inside the flaw enter. the atomic radius fer 111a111urn is {1.145 nm. Therefore. the planar density far the (1)0111) plane is 1 1 21331—1 _ 115111.145 1111113 1 - -~ —.'.' -~ . 19 —J PDfl{lfl-_I~T1:|= =13..'_111n1 =1. 1.11.11] n1 ...
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