10 - Vectors, Matices, Eigenvalues, eigenfunctions.pdf
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Department
Chemistry
Course
CHEM 5
Professor
Douglas Tobias
Semester
Fall

Description
Sabrina Lugo Section B HOMEWORK #10 #1) Torsion angles are important paramters for describing the conformaitons of polyatomic molecules. A torsion angle is defined by the positions of four atoms. Here i, j, k, and l ae the indices of the four atoms, and the torsion angle, f ijkls defined as the angle between the planes that contain atoms i, j, k and j, k, l. Mathematically, f = ArcCosJ u.v N ijkl u»»v where u and v are vectors normal to the ijk and jkl planes: u = rij r jk v= rlk r jk |u| and |v| are the magnitudes, and the bond vectors are defined as: rij ri- r j rjk r -jr k rlk r l r k Where r =iHx , i , i L,ietc. Calculate teh torsion angle (in both radians and degrees) defined by the four atoms whose positions are given in the table: ri = 84.212, 3.319, -9.332
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