In the basic CsCl crystal structure, Cs + and Cl - ions are arranged in a bcc configuration as shown in the figure. The net electrostatic force exerted by the eight Cs + ions on the Cl - ions is

Question

In the basic CsCl crystal structure, Cs + and Cl - ions are arranged in a bcc configuration as shown in the figure. The net electrostatic force exerted by the eight Cs + ions on the Cl - ions is (A) (1/4 π ε0) (4 e2/3 a2) (B) (1/4 π ε0) (16 e2/3 a2) (C) (1/4 π ε0) (32 e2/3 a2) (D) zero

Tardigrade Admin · Accepted Answer

The electrostatic force due to one Cs + ion is balanced by diagonally opposite other Cs + ion. Thus, the net electrostatic force on Cl - ion due to eight Cs + ions is zero.

Q. In the basic $C s Cl$ crystal structure, $C s^{+}$ and $C l^{-}$ ions are arranged in a $b cc$ configuration as shown in the figure. The net electrostatic force exerted by the eight $C s^{+}$ ions on the $C l^{-}$ ions is

$\frac{1}{4 π ε _{0}} \frac{4 e ^{2}}{3 a ^{2}}$

$\frac{1}{4 π ε _{0}} \frac{16 e ^{2}}{3 a ^{2}}$

$\frac{1}{4 π ε _{0}} \frac{32 e ^{2}}{3 a ^{2}}$

zero

The electrostatic force due to one $C s^{+}$ ion is balanced by diagonally opposite other $C s^{+}$ ion. Thus, the net electrostatic force on $C l^{-}$ ion due to eight $C s^{+}$ ions is zero.

Q. In the basic CsCl crystal structure, Cs+ and Cl− ions are arranged in a bcc configuration as shown in the figure. The net electrostatic force exerted by the eight Cs+ ions on the Cl− ions is

4πε0​1​3a24e2​

4πε0​1​3a216e2​

4πε0​1​3a232e2​