A metal has an atomic radius of 0.1385 nm. The volume of its cubic unit cell is 0115 x10-23 cm3. What isthe geometry of the unit cell?

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Answered: A metal has an atomic radius of 0.1385…

Chemistry

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ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Metallic strontium crystallizes in a face-centered cubic lattice. The volume of the unit cell is 2.25 × 10⁸ pm³. What is the density of strontium metal in g/cm³?
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Chromium has a body-centered cubic unit cell, and a density of 7.19 g/cm3. Calculate the edge length of the unit cell, in pm. (The atomic mass of iron is 51.996 amu. Also, 1 amu = 1.661 × 10–24 g.)
Sample Exercise 6: Empirical Formula and Density: Ionic Solid The unit cell of a binary compound of copper and oxygen is shown here. Given this image and the ionic radii rcut = 0.74 Å and ro² = 1.26 Å, (a) determine the empirical formula of this compound, (b) determine the coordination numbers of copper and oxygen, (c) estimate the length of the edge of the cubic unit cell, and (d) estimate the density of the compound. Solution (a) To determine the empirical formula we need to determine how many of each type of ion there are per unit cell. O: 8(1/8) + 1 = 2 0²-ions in the unit cell. Cu: 4(1) = 4 Cut ions in the unit cell. Empirical Formula: Cu₂O (b) If we can visually determine the coordination number of one of the ions, we can use Equation 12.1 to determine the coordination number of the other ion. Number of cations per formula unit Number of anions per formula unit anion coordination number cation coordination number Cation coordination number = anion coordination number Copper…
Element Xr (99.88 g/mol) has a BCC unit cell and a density of 16.87 g/cm33. Based on this information, what is the radius of an atom of Xr in pm?
In an experiment, you measure the proportion of unit cells that occupied by atoms. For one cell, you measure 52% of the cell i occupied by atoms (with 48% empty space), for another cell, y measure 68% is occupied by atoms (with 32% empty space) ar for a 3rd cell you measure 74% is occupied by atoms and 26% i empty space. Which one of these should be the face-centered cubic arrangement? is ½ of a sphere. There are 6 faces, so this gives a total each 2 edge 52% occupied by atoms 74% occupied by atoms & C. Cell type 68% occupied by atoms none are true Num
What is face centered cubic unit cell? What is its significance in the field of engineering and chemistry?
Iron forms a body-centered cubic crystal structure. (a) How many Fe atoms are in a unit cell? (b) What is the mass of a unit cell in grams? (c) If the density of iron is 7.86 g/cm', calculate the volume of unit cell, the edge length of the unit cell in pm, and the atomic radius of iron in pm. (Atomic mass of iron = 55.85 amu; 1 amu = 1.6605 x 10 24 g; 1 pm = 10-10 cm)
The element lead (Pb) crystallizes with a Face Centered Cubic unit cell. The density of lead is 11.3 g/cm3. Use this information to calculate the theoretical metallic radius of a lead atom in picometers. 1 pm = 1×10−12 meters [Note: The theoretical value for the metallic radius may be different from the experimentally determined value. Simply Googling the value of atomic radius may not yield the correct result]

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A metal has an atomic radius of 0.1385 nm . The volume of its cubic unit cell is 0115 x10-23 cm³. What is the geometry of the unit cell?