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A crystalline solid contains three types of ions,
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General Chemistry: Principles and Modern Applications (11th Edition)
- Rutile, TiO2, crystallizes in a structure characteristic of many other ionic compounds How many formula units of TiO2 are in the unit cell illustrated here? (The oxide ions marked by an x are wholly within the cell; the others are in the cell faces.) Unit cell for rufflearrow_forwardCrystalline polonium has a primitive cubic unit cell, lithium has a body-centered cubic unit cell, and calcium has a face-centered cubic unit cell. How many Po atoms belong to one unit cell? How many Li atoms belong to one unit cell? How many Ca atoms belong to one unit cell? Draw each unit cell. Indicate on your drawing what fraction of each atom lies within the unit cell.arrow_forwardThe unit cell of silicon carbide, SiC, is illustrated below. (a) In what type of unit cell are the (dark gray) C atoms arranged? (b) If one edge of the silicon carbide unit cell is 436.0 pm, what is the calculated density of this compound? A portion of the solid-state structure of silicon carbide.arrow_forward
- The mineral fluorite, which is composed of calcium ions and fluoride ions, has the unit cell shown here. (a) What type of unit cell is described by the Ca2+ ions? (b) Where are the F ions located, in octahedral holes or tetrahedral holes? (c) Based on this unit cell, what is the formula of fluorite? Unit cell of fluoritearrow_forwardIf an ionic solid has an fcc lattice of anions (X) and all of the tetrahedral holes are occupied by metal cations (M), is the formula of the compound MX, MX2, or M2X?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_forward
- Palladium has a cubic crystal structure in which the edge of the unit cell is 389 pm long. If the density of palladium is 12.02 g/cm3, how many palladium atoms are in a unit cell? In which of the cubic unit cells does palladium crystallize?arrow_forwardAssociate each of the solids BN, P4S3, Pb, and CaCl2 with one of the following sets of properties. a A bluish white, lustrous solid melting at 327C; the solid is soft and malleable. b A white solid melting at 772C; the solid is an electrical nonconductor but dissolves in water to give a conducting solution. c A yellowish green solid melting at 172C. d A very hard, colorless substance melting at about 3000C.arrow_forwardConsider the three types of cubic units cells. (a) Assuming that the spherical atoms or ions in a primitive cubic unit cell just touch along the cubes edges, calculate the percentage of occupied space within the unit cell. (Recall that the volume of a sphere is (4/3)r3, where r is the radius of the sphere.) (b) Compare the percentage of occupied space in the primitive cell (pc) with the bcc and fcc unit cells. Based on this, will a metal in these three forms have the same or different densities? If different, in which is it most dense? In which is it least dense?arrow_forward
- Spinel is a mineral that contains 37.9% aluminum, 17.1% magnesium, and 45.0% oxygen, by mass, and has a density of 3.57 g/cm3.The edge of the cubic unit cell measures 809 pm. How many of each type of ion are present in the unit cell?arrow_forwardTungsten crystallizes in the unit cell shown here. Unit cell for tungsten (a) What type of unit cell is this? (b) How many tungsten atoms occur per unit cell? (c) If the edge of the unit cell is 316.5 pm, what is the radius of a tungsten atom? (Hint: The W atoms touch each other along the diagonal line from one comer of the unit cell to the opposite comer of the unit cell.)arrow_forward
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