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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

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11y ago
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11y ago

The central atom of a methane molecule is the carbon atom. Four hydrogen atoms are directly bonded to it and there is no lone pairs located in the central atom. Having a tetrahedral shape, every bond angle in methane is equal to 109.5 degrees.

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11y ago

The bond angle of singlet methylene is 120°. This is because it has a steric number of 3 and no lone electron pairs, and thus its molecular geometry is trigonal planar.

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12y ago

arccos(-1/3), which is approximately 109.5 degrees

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11y ago

Methane has a tetrahedral geometry. Thus, the bond angles in methane are all equal to 109o.

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11y ago

since the lewis dot structure of this compound is a tetrahedral (around the C atom that is) and all four electron pairs are bonding pairs, the ideal angles should be 109.5 degrees

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Q: What is the bond angle in methylene?
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What is the HNC bond angle in CH2NH2?

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)


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