Imagine that you create the tetrahedron by joining opposite vertices on the faces of a cube as in the diagram below. To simplify the arithmetic assume that the cube has sides of length 2.
Let O be the point at the center of the cube (equidistant from the eight vertices) as in the diagram below. Construct the triangle OPQ.
Consider the triangle OPQ. Let R be the midpoint of PQ.
Since the sided of the cube are of length 2, a use of Pythagoras' Theorem gives |PQ| = . Also, since O is at the center of the cube, |OR| = 1. From the diagram the tangent of the angle ROP is . Thusangle QOP = 2 x angle ROP = 2 x arctan() = 109.5o
The question is nonsense. WHICH bond angle? There are many of them in a molecule the size of estradiol.
The bond angle of BF2 is 120 degrees.
The value of the bond angle in XeF2 is 180 degrees.
90 degrees is the value of the smallest bond angle in IF4.
The bond length is equal to the linear distance between the nuclei of the bonding atoms. The bond angle is equal to the angle between any two consecutive bonds in a molecule or ion. Bond angles of molecules and ions are usually determined by using the VSEPR theory.
The methylene radical CH2 has just 6 electrons around the central carbon. The lowest energy methylene is "triplet" methylene with two unpaired electrons. Simple VSEPR cannot predict the bond angle which is measured as being 133 0. A slightly higher energy form has no unpaired electrons and the angle is measured at 102 0. This is in accord with simple VSEPR theory which would predict a decrease in bond angle from 120 0 due to repulsion of the lone pair.In compounds the -CH2- unit in alkanes such as propane the bond angles are close to 109 0 the tetrahedral angle (sp3 hybridisation). When =CH2 terminates an alkene such as ethene (ethylene) the bond angle is close to 120 0, (sp2 hybridisation)
The bond angle of AlCl3 is 120 degrees.
The bond angle of N2O is 180 degrees.
The bond angle in CO2 is 180 degrees.
The bond angle for H2S is approximately 92 degrees.
The bond angle in NI3 is approximately 107 degrees.
The bond angle for IO2 is around 120 degrees.
The bond angle for NBr3 is approximately 107 degrees.
The bond angle for AsF3 is approximately 87.5 degrees.
The bond angle for OF2 is approximately 103 degrees.
The bond angle for SO2 is approximately 119 degrees.
The bond angle in NF3 is approximately 107 degrees.