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Distance to 3rd and 5th nearest ion to S2- in ZnS structure

  • #1
Please post this type of questions in the HW section using the template and showing your work.
Hey folks

ZnS has a ccp structure with S2- ions forming FCC lattice with Zn2+ ions at half the tetrahedral voids

zbcell.gif


Attached is a table showing no. of nearest neighbours and their distance for an S2- ion

'a' is edge length of the unit cell

I want to know how the distance to the 3rd & 5th nearest ion is √11a/4 & √19a/11, i.e how to prove this.



upload_2018-10-13_16-17-34.png



Thanks ... any help is appreciated
 

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Answers and Replies

  • #2
Borek
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Have you you tried to follow the geometry? Often it is enough to find right right triangles and use Pythagorean theorem.
 
  • #3
mjc123
Science Advisor
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I think those numbers are wrong. They're not what I get (with quick mental arithmetic).
 
  • #4
yes i did pythogarus & got it ... thanks ...
 

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