metal crystallises in BCC structures atomic mass of the metal is 55.8g\mol calculate edge length of unit cell of the metal

Asked by karennavarpriya | 20th Aug, 2021, 01:53: PM

Expert Answer:

Edge length of unit cell of the metal is calculated by-
 
straight d equals fraction numerator zM over denominator straight a cubed straight N subscript straight A end fraction
straight a cubed equals zM over dN subscript straight A equals fraction numerator 2 cross times 58.8 over denominator 7.9 cross times 6.023 cross times 10 to the power of 23 end fraction equals 23.45 cross times 10 to the power of negative 24 end exponent
straight a equals left parenthesis 23.45 right parenthesis to the power of 1 divided by 2 end exponent space cross times left parenthesis 10 to the power of negative 8 end exponent right parenthesis to the power of 1 divided by 3 end exponent space space space Let space straight x space equals space left parenthesis 23.45 right parenthesis to the power of 1 divided by 3 end exponent space space logx equals 1 third space log left parenthesis 23.45 right parenthesis

logx equals 0.456

straight a equals 2.867 cross times 10 to the power of negative 8 end exponent space cm

Answered by Ravi | 24th Aug, 2021, 12:34: PM