Potassium metal crystallizes in a face-center | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) For a face-centered cubic $(FCC)$ lattice,the atoms touch along the face diagonal.The relationship between the edge length $(a)$ and the atomic ra

Vedclass · Accepted Answer

$0.4059$

Vedclass · Answer

(A) For a face-centered cubic $(FCC)$ lattice,the atoms touch along the face diagonal.The relationship between the edge length $(a)$ and the atomic radius $(r)$ is given by $4r = \sqrt{2}a$.The shortest distance between two nuclei in an $FCC$ lattice is the distance between the center of an atom at the corner and the center of an atom at the face center,which is equal to half of the face diagonal.Shortest distance $(d)$ = $\frac{\sqrt{2}a}{2} = \frac{a}{\sqrt{2}}$.Given $a = 0.574 \ nm$.$d = \frac{0.574}{1.414} \ nm = 0.4059 \ nm$.

Potassium metal crystallizes in a face-centered cubic $(FCC)$ lattice. If the edge length of the unit cell is $0.574 \ nm$,what is the shortest distance between any two potassium nuclei (in $nm$)?

Similar Questions

An element has a body-centred cubic $(bcc)$ structure with a cell edge of $288 \, pm$. The density of the element is $7.2 \, g/cm^{3}$. How many atoms are present in $208 \, g$ of the element?

If a metal crystallises in $bcc$ structure with edge length of unit cell $4.29 \times 10^{-8} \ cm$,the radius of the metal atom is:

$AB$ crystallizes in a body-centred cubic $(bcc)$ lattice with edge length $a$ equal to $387 \ pm$. The distance between two oppositely charged ions in the lattice is ............... $pm$.

$A$ metal crystallises in $bcc$ lattice with unit cell edge length of $300 \ pm$ and density $6.15 \ g \ cm^{-3}$. The molar mass of the metal is

In a $bcc$ lattice having the edge length of $200 \ pm$, the cation has the radius of $70 \ pm$. The radius ratio of $\frac{r^{+}}{r^{-}}$ is (Given, $\sqrt{2}=1.4, \sqrt{3}=1.7$ and $\sqrt{6}=2.4$ )

Vedclass Test Series

Exam Paper Generator

Online Exam Module