In crystals of the salt cesium chloride, cesium ions Cst form the eight corners of a cube and a chlorine ion Cl- is at the cube's center (see the figure). The edge length of the cube is L = 0.34 nm. The Cst ions are each deficient by one electron (and thus each has a charge of +e), and the CI-ion has one excess electron (and thus has a charge of -e). (a) What is the magnitude of the net electrostatic force exerted on the CI ion by the eight Cs* ions at the corners of the cube? (b) If one of the Cs* ions is missing, the crystal is said to have a defect; what is the magnitude of the net electrostatic force exerted on the Clion by the seven remaining Cs* ions? cr Cst

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In crystals of the salt cesium chloride, cesium ions Cst form the eight corners of a cube and a chlorine ion Cl- is at the cube's center (see
the figure). The edge length of the cube is L = 0.34 nm. The Cst ions are each deficient by one electron (and thus each has a charge of
+e), and the CI-ion has one excess electron (and thus has a charge of -e). (a) What is the magnitude of the net electrostatic force
exerted on the CI ion by the eight Cs* ions at the corners of the cube? (b) If one of the Cst ions is missing, the crystal is said to have a
defect; what is the magnitude of the net electrostatic force exerted on the CI-ion by the seven remaining Cs+ ions?
CI
Cs+
Transcribed Image Text:In crystals of the salt cesium chloride, cesium ions Cst form the eight corners of a cube and a chlorine ion Cl- is at the cube's center (see the figure). The edge length of the cube is L = 0.34 nm. The Cst ions are each deficient by one electron (and thus each has a charge of +e), and the CI-ion has one excess electron (and thus has a charge of -e). (a) What is the magnitude of the net electrostatic force exerted on the CI ion by the eight Cs* ions at the corners of the cube? (b) If one of the Cst ions is missing, the crystal is said to have a defect; what is the magnitude of the net electrostatic force exerted on the CI-ion by the seven remaining Cs+ ions? CI Cs+
Expert Solution
Step 1: Note the given quantities and the required quantities

Given:

Edge length L equals 0.34 space n m

Charge on Cs+ ion = +e

Charge on Cl- ion = negative e

Required:

(a) Magnitude of the net electrostatic force on Cl- ion due to all eight Cs+ ions.

(b) Magnitude of the net electrostatic force on Cl- ion due to seven remaining Cs+ ion.


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