Asked by Kendra
PLEASE ANSWER VERY SOON I AM STUCK!
Crystalline silicon has a cubic structure. The unit cell edge length is 543
pm. The density of the solid is 2.33 g/cm3. Calculate the number of Si
atoms in one unit cell.
Crystalline silicon has a cubic structure. The unit cell edge length is 543
pm. The density of the solid is 2.33 g/cm3. Calculate the number of Si
atoms in one unit cell.
Answers
Answered by
DrBob222
Here is how I would approach the problem.
543 nm = 5.43 x 10^-8 cm
V = a^3 = (5.43 x 10^-8)^3
Then mass of the unit cell = v x density.
(# atoms in unit cell x 28.0855)/(6.022 x01^23) = mass unit cell
Solve for # atoms. When I worked the problem, I ended up with 7.999 which rounds to 8 and we know that can't be right. The reason is that Si is a face centered cubic (# atoms to unit cell = 4) with two interpenetrating face centered cubic cells; therefore, we divide the 8 by 2 to obtain the 4 as an answer. If you wish to read more about this go to http://hyperphysics.phy-astr.gsu.edu/hbase/solids/sili2.html
Hope this helps.
543 nm = 5.43 x 10^-8 cm
V = a^3 = (5.43 x 10^-8)^3
Then mass of the unit cell = v x density.
(# atoms in unit cell x 28.0855)/(6.022 x01^23) = mass unit cell
Solve for # atoms. When I worked the problem, I ended up with 7.999 which rounds to 8 and we know that can't be right. The reason is that Si is a face centered cubic (# atoms to unit cell = 4) with two interpenetrating face centered cubic cells; therefore, we divide the 8 by 2 to obtain the 4 as an answer. If you wish to read more about this go to http://hyperphysics.phy-astr.gsu.edu/hbase/solids/sili2.html
Hope this helps.
Answered by
Charlene
OMG I CAN'T FIGURE IT OUT EITHER!!!!
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.