Show that the volume of a triclinic unit cell of sides a, b, and c and angles α, β, and γ is V = abc(1 − cos2α − cos2β − cos2γ + 2 cos α cos β cos γ)1/2 . Use this expression to derive expressions for monoclinic and orthorhombic unit cells. For the derivation, it may be helpful to use the result from vector analysis that V = a⋅b×c and to calculate V2 initially. The compound Rb3TlF6 has a tetragonal unit cell with dimensions a = 651 pm and c = 934 pm. Calculate the volume of the unit cell.
Show that the volume of a triclinic unit cell of sides a, b, and c and angles α, β, and γ is V = abc(1 − cos2α − cos2β − cos2γ + 2 cos α cos β cos γ)1/2 . Use this expression to derive expressions for monoclinic and orthorhombic unit cells. For the derivation, it may be helpful to use the result from vector analysis that V = a⋅b×c and to calculate V2 initially. The compound Rb3TlF6 has a tetragonal unit cell with dimensions a = 651 pm and c = 934 pm. Calculate the volume of the unit cell.
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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Show that the volume of a triclinic unit cell of sides a, b, and c and angles α, β, and γ is V = abc(1 − cos2α − cos2β − cos2γ + 2 cos α cos β cos γ)1/2 . Use this expression to derive expressions for monoclinic and orthorhombic unit cells. For the derivation, it may be helpful to use the result from vector analysis that V = a⋅b×c and to calculate V2 initially. The compound Rb3TlF6 has a tetragonal unit cell with dimensions a = 651 pm and c = 934 pm. Calculate the volume of the unit cell.
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