(a) Electron diffraction experiments reveal that the distance between the centers of the carbon (C) and oxygen (O) atoms in a carbon monoxide molecule is about 1.100 x 10-10 m. Where is the center of mass of a CO molecule? (b) In an ammonia molecule (NH3), the atoms are arranged in a pyramid.* The three hydrogen atoms (H) form an equilateral triangle at the base of a pyramid. The distance between the centers of the hydrogen atoms is 1.628 x 10-10 m; thus, the center of the triangle is 9.399 x 10-11 m from each hydrogen atom. The nitrogen atom (N) sits at the apex of the pyramid. The distance between the center of the nitrogen atom and any hydrogen atom is 1.014 x 10-10 m. Where is the center of mass of the ammonia molecule?

Physics for Scientists and Engineers: Foundations and Connections
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Chapter36: Applications Of The Wave Model
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1 Molecular Geometry
In this problem, you will calculate the center of mass of two molecules. For each molecule, draw a picture. Clearly
indicate the origin of your coordinate system, the locations of the atoms, and the location of the center of mass. Consult
a periodic table to find the masses of the atoms.
(a) Electron diffraction experiments reveal that the distance between the centers of the carbon (C) and oxygen (O)
atoms in a carbon monoxide molecule is about 1.100 x 10-10 m. Where is the center of mass of a CO molecule?
(b) In an ammonia molecule (NH3), the atoms are arranged in a pyramid.* The three hydrogen atoms (H) form
an equilateral triangle at the base of a pyramid. The distance between the centers of the hydrogen atoms is
1.628 x 10-10 m; thus, the center of the triangle is 9.399 x 10-1" m from cach hydrogen atom. The nitrogen atom
(N) sits at the apex of the pyramid. The distance between the center of the nitrogen atom and any hydrogen atom
is 1.014 x 10-10 m. Where is the center of mass of the ammonia molecule?
Transcribed Image Text:1 Molecular Geometry In this problem, you will calculate the center of mass of two molecules. For each molecule, draw a picture. Clearly indicate the origin of your coordinate system, the locations of the atoms, and the location of the center of mass. Consult a periodic table to find the masses of the atoms. (a) Electron diffraction experiments reveal that the distance between the centers of the carbon (C) and oxygen (O) atoms in a carbon monoxide molecule is about 1.100 x 10-10 m. Where is the center of mass of a CO molecule? (b) In an ammonia molecule (NH3), the atoms are arranged in a pyramid.* The three hydrogen atoms (H) form an equilateral triangle at the base of a pyramid. The distance between the centers of the hydrogen atoms is 1.628 x 10-10 m; thus, the center of the triangle is 9.399 x 10-1" m from cach hydrogen atom. The nitrogen atom (N) sits at the apex of the pyramid. The distance between the center of the nitrogen atom and any hydrogen atom is 1.014 x 10-10 m. Where is the center of mass of the ammonia molecule?
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