Cesium chloride \((\mathrm{CsCl})\) is a crystalline salt that forms in a cubic lattice structure, which you can imagine as a cube with \(\mathrm{Cs}^{+}\)ions at the eight corners and \(\mathrm{Cl}^{-}\)ion at the center. The edge length of the cube is \(412 \mathrm{pm}\). Suppose that at the edge of a crystal, two cesium atoms have been stripped from adjacent corners of a cube, as shown in Figure P22.55. What is the vector sum of the electric forces exerted on the chloride ion by the six \(\mathrm{Cs}^{+}\)ions remaining in the cube?

Data from Figure P22.55

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Cs* Cs CI 412 pm Cs Cs Cs Cs+