Concept explainers
Interpretation:
The radius in picometers of Polonium atom has to be calculated.
Concept Introduction:
Simple cubic unit:
A simple cubic unit cell is the simplest form of a cubic unit cell. A cube has eight vertices, twelve edges and six faces. Similarly a cubic unit cell has eight vertices, twelve edges and six faces. If in a cubic unit cell, the components occupy only the eight vertices, then the unit cell is known as simple cubic unit cell.
Figure 1
A simple cubic unit cell has its all the eight vertices arranged with atoms in it. Thus eight atoms are arranged in a simple cubic unit cell in eight vertices. Each atom in a vertex is shared by eight neighboring unit cells. Each layer of a lattice has four unit cells and the upper or lower to that layer has four unit cells. So, each simple cubic unit cell has
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
General Chemistry: Atoms First
- 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_forwardCalcium oxide consists of a face-centered cubic array of O2 ions, with Ca2+ ions at the center of the unit cell and along the centers of all 12 edges. Calculate the number of each ion in the unit cell.arrow_forwardA portion of the crystalline lattice for potassium is illustrated below. (a) In what type of unit cell are the K atoms arranged? A portion of the solid-state structure of potassium. (b) If one edge of the potassium unit cell is 533 pm, what is the density of potassium?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_forwardRutile, 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_forward
- The 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_forwardThe compounds ethanol (C2H5OH) and dimethyl ether (CH3OCH3) have the same molecular formula. Which is expected to have the higher surface tension? Why?arrow_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_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningGeneral Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage LearningChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage Learning
- Chemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning