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23.57 • An Ionic Crystal. Figure P23.57 Figure P23.57 shows eight point charges arranged at the corners of a cube with sides of length d. The val- ues of the charges are +q and -q, -9 +q as shown. This is a model of one cell of a cubic ionic crystal. In sodium chloride (NaCl), for instance, the positive ions are Na" and the nega- tive ions are CI¯. (a) Calculate the potential energy U of this arrange- ment. (Take as zero the potential en- ergy of the eight charges when they are infinitely far apart.) (b) In part (a), you should have found that U < C Explain the relationship between this result and the observation that suc ionic crystals exist in nature. d +q d d +q

23.57 • An Ionic Crystal. Figure P23.57 Figure P23.57 shows eight point charges arranged at the corners of a cube with sides of length d. The val- ues of the charges are +q and -q, -9 +q as shown. This is a model of one cell of a cubic ionic crystal. In sodium chloride (NaCl), for instance, the positive ions are Na" and the nega- tive ions are CI¯. (a) Calculate the potential energy U of this arrange- ment. (Take as zero the potential en- ergy of the eight charges when they are infinitely far apart.) (b) In part (a), you should have found that U < C Explain the relationship between this result and the observation that suc ionic crystals exist in nature. d +q d d +q

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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23.57 • An Ionic Crystal. Figure P23.57 Figure P23.57 shows eight point charges arranged at the corners of a cube with sides of length d. The val- ues of the charges are +q and -q, +ą +q as shown. This is a model of one cell of a cubic ionic crystal. In sodium chloride (NaCI), for instance, the positive ions are Na" and the nega- tive ions are CI¯. (a) Calculate the potential energy U of this arrange- ment. (Take as zero the potential en- ergy of the eight charges when they are infinitely far apart.) (b) In part (a), you should have found that U < 0. Explain the relationship between this result and the observation that such ionic crystals exist in nature. d + +g d d +ą
Transcribed Image Text:23.57 • An Ionic Crystal. Figure P23.57 Figure P23.57 shows eight point charges arranged at the corners of a cube with sides of length d. The val- ues of the charges are +q and -q, +ą +q as shown. This is a model of one cell of a cubic ionic crystal. In sodium chloride (NaCI), for instance, the positive ions are Na" and the nega- tive ions are CI¯. (a) Calculate the potential energy U of this arrange- ment. (Take as zero the potential en- ergy of the eight charges when they are infinitely far apart.) (b) In part (a), you should have found that U < 0. Explain the relationship between this result and the observation that such ionic crystals exist in nature. d + +g d d +ą
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