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.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter9: The Gaseous State

Section: Chapter Questions

Problem 81AP

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