Not all unit cells have a cubic structure. Take for example the below image wherein the unit cell takes the shape of a parallelepiped and has lengths a, b, c and angles a B. y. This particular unit cell has an atom arrangement where it has one atom at each corner, one central atom at each of the bases, one atom at the center of the unit cell, and one atom at the center of each of the edge lengths across length c. Given a density of 26.45 g/cm, calculate the length of edge c in angstroms of a theoretical element Ro given the following unit cell dimensions in angstroms and degrees: a = 10A b=7.91A y= 440 Atomic Mass: Ro: 52.008 g/mol

Not all unit cells have a cubic structure. Take for example the below image wherein the unit cell takes the shape of a parallelepiped and has lengths a, b, c and angles a B. y. This particular unit cell has an atom arrangement where it has one atom at each corner, one central atom at each of the bases, one atom at the center of the unit cell, and one atom at the center of each of the edge lengths across length c. Given a density of 26.45 g/cm, calculate the length of edge c in angstroms of a theoretical element Ro given the following unit cell dimensions in angstroms and degrees: a = 10A b=7.91A y= 440 Atomic Mass: Ro: 52.008 g/mol

Chemistry & Chemical Reactivity

10th Edition

ISBN:9781337399074

Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Chapter12: The Solid State

Section: Chapter Questions

Problem 42GQ: Tungsten crystallizes in the unit cell shown here. Unit cell for tungsten (a) What type of unit cell...

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In an FCC structure, the atoms are found on the corners of the cubic unit cell and at the center of each face. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. One of the faces of the unit cell is shown below in the following: a. Show the distance dO on the sketch. Draw the boundaries of the unit cell. b. What is the relationship between the length of the face diagonal and the radius of the atoms in the cell? Face diagonal = ______________ c. How is the radius of the atoms related to dO? r= ______________ d. Silver metal crystals have an FCC structure. The unit cell edge in silver is 0.4086nm long. What is the radius of a silver atom? ______________nm
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Tungsten 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.)
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