Many elements crystallize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells. A hexagonal unit cell is shown below. 3/3 a?c Volume 2 6 atoms per unit cell The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633x"a". The element cerium (Ce) crystallizes with a Simple Hexagonal unit cell. The density of a cerium is 6.689 g/cm3. Use this information to calculate the metallic radius of cerium in picometers (pm). 1 pm = 1×10-12 meters. You can assume that the dimension c=1.633-a

Many elements crystallize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells. A hexagonal unit cell is shown below. 3/3 a?c Volume 2 6 atoms per unit cell The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633x"a". The element cerium (Ce) crystallizes with a Simple Hexagonal unit cell. The density of a cerium is 6.689 g/cm3. Use this information to calculate the metallic radius of cerium in picometers (pm). 1 pm = 1×10-12 meters. You can assume that the dimension c=1.633-a

Chemistry

10th Edition

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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Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

Many elements crystallize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for
cubic unit cells. A hexagonal unit cell is shown below.
3/3 a²c
Volume
6 atoms per unit cell
The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633x"a".
The element cerium (Ce) crystallizes with a Simple Hexagonal unit cell. The density of a cerium is 6.689 g/cm³. Use this information to calculate the metallic radius of cerium in
picometers (pm). 1 pm = 1×10-12 meters. You can assume that the dimension c=1.633-a
[Note: The theoretical value for the radius may be different from the experimentally determined value. Simply Googling the radius may not yield the correct result]
Radius =
pm

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