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pranay_robot (152)

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Olaaa!! Perrrfect answer. 28  [34 rates]

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                                                                                         SIMPLE CUBIC .                   FCC                                  BCC


UNIT CELL side A                                                         2r                                             4r/sqrt2                               4r/sqrt3


 


FACE DIAGONAL                                                         SQRT 2 (2r)                            4r                                       sqrt (2/3)4r


 


 


body diagonal                                                       sqrt3 (2r)                                           sqrt (3/2)4r                      4r


 


NO OF ATOMS                                                              1                                                 4                                              2


 


cell VOLUME                                                                 8r ^3                                          (32r^3)/sqrt 2     64r^3/3sq3


 


here r = atomic radius. 


 


no of atoms in hcp = 6


co ordination number of  HCP , FCC = 12            


 


co ordination number of bcc                =  8


atomic radius of hcp  r = a/2


atomic radius of simple cubic r = a/2


BCC atomic radius = asqrt(3/4)


fcc   atomic radius = a sqrt2/4


IN FCC , HCP  LATTICES  EMPTY SPACE  = 26%


IN BCC  LATTICES EMPTY SPACE  = 32 %


 


TOTAL NO OF ATOMS PER UNIT CELL IS GIVEN BY 


                                                     N = Nt + Nf / 2 +Nc/8


 where Nt  = np of interior atoms   , Nf  = no of atoms on faces  , Nc  = no of atoms on corners  .


 


 


i hope these wiLL help u !!!!!!!!!!!! I WISH U ALL THE BEST !!!!!!

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