The vertices of a tetrahedron correspond to four alternatingcorners of a cube. By using analytical geometry, demonstratethat the angle made by connecting two of the vertices to apoint at the center of the cube is 109.5°, the characteristicangle for tetrahedral molecules.

Chemistry for Engineering Students
3rd Edition
ISBN:9781285199023
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter7: Chemical Bonding And Molecular Structure
Section: Chapter Questions
Problem 7.84PAE
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The vertices of a tetrahedron correspond to four alternating
corners of a cube. By using analytical geometry, demonstrate
that the angle made by connecting two of the vertices to a
point at the center of the cube is 109.5°, the characteristic
angle for tetrahedral molecules.

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