A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom ?

A given metal crystallizes out with a cubic structure having edge leng

1.	A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom ?
Answer» <html><body><p>80 pm<br/>108 pm<br/>40 pm<br/>127 pm</p>Solution :Z=4 means <a href="https://interviewquestions.tuteehub.com/tag/structure-1230280" style="font-weight:bold;" target="_blank" title="Click to know more about STRUCTURE">STRUCTURE</a> is fcc. For fcc `r=a/(2sqrt2)=<a href="https://interviewquestions.tuteehub.com/tag/361-309625" style="font-weight:bold;" target="_blank" title="Click to know more about 361">361</a>/(2xx1.414)` =127.65 pm `<a href="https://interviewquestions.tuteehub.com/tag/approx-882876" style="font-weight:bold;" target="_blank" title="Click to know more about APPROX">APPROX</a>` 127 pm</body></html>