Cesium Chloride is a salt with a crystal structure in which cubes with sides of length...

  

Transcribed Image Text:

Cesium Chloride is a salt with a crystal structure in which cubes with sides of length a 0.4 nm and positive C's+ ions (shown as black spheres) at all 8 corners surround one negative Cl ion (pink sphere) at the center of the cube, as pictured below. The charges of these ions are e. In calculating forces, use e = 1.6 10-19 C, ke = 1/40 = 9 10 N-m C-2 and a = 0.4 nm = 4 10-10 m. x (Part a) What is, the magnitude of the total electrostatic force on the Cl ion due to its eight nearest neighbor C's+ ions? [Hint: consider the C's+ ions pair by pair across the diagonals of the cube; there are four such pairs]. N Cesium Chloride, Part 2 0 points possible (ungraded) vacancy, (Part b) Occasionally defects arise in which one of the C's+ ions is missing. We call this a vacancy. Suppose the C's+ ion at the origin (the bottom left corner of the cube) is missing in the above diagram. In this case, what are the components of F the total electrostatic force on the Ct ion due to its remaining seven nearest neighbor Cs+ ions? [Hint: before you get into extensive calculations, think about this carefully in light of your answer above, and use the principle of superposition.] FVacancy = N vacancy 9 = Fracancy = N N Cesium Chloride is a salt with a crystal structure in which cubes with sides of length a 0.4 nm and positive C's+ ions (shown as black spheres) at all 8 corners surround one negative Cl ion (pink sphere) at the center of the cube, as pictured below. The charges of these ions are e. In calculating forces, use e = 1.6 10-19 C, ke = 1/40 = 9 10 N-m C-2 and a = 0.4 nm = 4 10-10 m. x (Part a) What is, the magnitude of the total electrostatic force on the Cl ion due to its eight nearest neighbor C's+ ions? [Hint: consider the C's+ ions pair by pair across the diagonals of the cube; there are four such pairs]. N Cesium Chloride, Part 2 0 points possible (ungraded) vacancy, (Part b) Occasionally defects arise in which one of the C's+ ions is missing. We call this a vacancy. Suppose the C's+ ion at the origin (the bottom left corner of the cube) is missing in the above diagram. In this case, what are the components of F the total electrostatic force on the Ct ion due to its remaining seven nearest neighbor Cs+ ions? [Hint: before you get into extensive calculations, think about this carefully in light of your answer above, and use the principle of superposition.] FVacancy = N vacancy 9 = Fracancy = N N

Answer rating: 100% (QA)

Answer Cesium Chloride have the body centered structure where Chloride ion is in the center and the Cesium ions are present at the corners The length of the side of the cubic structure is a04nm The ch... View the full answer