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Nickel has a face-centered cubic unit cell with an edge length of
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- Calculate the unit cell edge length of copper metal, which has an fcc arrangement. The radius of a copper atom is 126 pm.arrow_forwardVanadium metal has a density of 6.11 g/cm3. Assuming the vanadium atomic radius is 132 pm, is the vanadium unit cell primitive cubic, body-centered cubic, or face-centered cubic?arrow_forwardTungsten crystallizes in a body-centered cubic unit cell with an edge length of 3.165 . (a) What is the atomic radius of tungsten in this structure? (b) Calculate the density of tungsten.arrow_forward
- The density of polonium metal is 9.2 g/cm3. If the extended lattice of polonium exhibits a simple cubic unit cell, estimate the atomic radius of polonium.arrow_forward1. The unit cell of silicon carbide. SiC is illustrated in the margin. In what type of unit cell are the (dark gray) C atoms arranged? primitive cubic body-centered cubic face-centered cubicarrow_forwardThe density of copper metal is 8.95 g/cm3. If the radius of a copper atom is 127.8 pm, is the copper unit cell primitive, body-centered cubic, or face-centered cubic?arrow_forward
- 8.98 If you know the density of material and the length of the edge of its cubic Iattice, how would you determine if it is face-centered cubic, body-centered cubic, or simple cubic Would you have to look up any information?arrow_forward(a) Determining an Atom Radius from Lattice Dimensions: Gold has a face-centered unit cell, and its density is 19.32 g/cm3. Calculate the radius of a gold atom. (b) The Structure of Solid Iron: Iron has a density of 7.8740 g/cm3, and the radius of an iron atom is 126 pm. Verify that solid iron has a body-centered cubic unit cell. (Be sure to note that the atoms in a body-centered cubic unit cell touch along the diagonal across the cell. They do not touch along the edges of the cell.) (Hint: The diagonal distance across the unit cell = edge 3.)arrow_forwardThe radius of tungsten is 137 pm and the density is 19.3 g/cm3. Does elemental tungsten have a face-centered cubic structure or a body-centered cubic structure?arrow_forward
- Metallic barium has a body-centered cubic structure (all atoms at the lattice points) and a density of 3.51 g/cm3. Assume barium atoms to be spheres. The spheres in a body-centered array occupy 68.0% of the total space. Find the atomic radius of barium. (See Problem 11.93.)arrow_forwardA cubic unit cell contains manganese ions at the corners and fluoride ions at the center of each edge. (a) What is the empirical formula of this compound? Explain your answer. (b) What is the coordination number of the Mn3+ ion? (c) Calculate the edge length of the unit cell if the radius of a Mn3+ ion is 0.65 A. (d) Calculate the density of the compound.arrow_forwardYou are given a small bar of an unknown metal X. You find the density of the metal to be 10.5 g/cm3. An X-ray diffraction experiment measures the edge of the face-centered cubic unit cell as 4.09 (1 = 1010 m). Identify X.arrow_forward
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