Question

A regular tetrahedron can be inscribed in a cube as outlined in red 2. in the figure right: at A regular tetrahedron can be defined as a tetrahedron with a. four equilateral triangular faces. Confirm that the inscribed figure is a regular tetrahedron. The VSEPR model predicts regular (ideal) tetrahedral geometries for AB4E0 systems such as methane (CH4). What is the relationship between the tetrahedral geometry of methane and the geometric solid depicted in the inscribed figure? The tetrahedral bond angle in a regular tetrahedral geometry (e.g., the H-C-H angle in methane) is 109.47°. Derive the tetrahedral angle; the inscribed figure provides a useful, simplifying reference orientation C.

Answer 1

negudar 7aces e quilatial twiangutar tdraladioy Figue is wlich because it has are Friangulae face 4 2 Carbon s Jn case CHy molecule tetaabedioy Ausent and Hhe centse at ny cleogen exi'st at 4- COLnes 7aces t cube altermate Reqular tetrabesal &hape H-atom 7caubon aton Cu lbe centr

angle between ngutar tedahidhon 2 vertices Calculath'on Cooレ) point CI,I 1) Pick above DAaw vectoz L,0) to tham ,o) 0,0D hom cetre points Lo,id aud CI,1,o) Co,0,0) CI,0,0) Centre = Lo.SoS O tind angle aud v2 betweey Noto =(0,121)- C.S.S = 0r,0.5 0.5) C1,1,0) - Cos,050.s): Co.5,0.57-0.5) dot thocluct Vse .V Cos 110,11 11Val -0-S.0.5+o.S.0.5+-0.S-0.S Ces 3x 0.5 3x0.S 3. 09. 47 = 109.5 So tetzahudral ongh 109