![]() Since the molecule is free to vibrate, normal mode (i.e., along the axis) vibrations can be examined by substituting x, = A,cit, where A, is the amplitude of the ſth mass, i = 1, w is the frequency, and t is time. ![]() The equation of motion for each atom (mass) may be written as: d x1 maw-me-w.ma -kx, +kx2 mc dt? X1 d x2 mgc dra -2kx2 + kx, +kxz dx mer kxz_kxz dt? where k is the restoring force spring constant representing the Be-Cl bonds. 5.6 The structure of an BeCl, molecule may be idealized as three masses connected by two springs, where the masses are the beryllium (CI) Be CI) and chlorine atoms, and the springs represent the chemical bond between the beryllium and chlorine atoms. ![]() In part (b), do not write the characteristic equa- tion, but use MATLAB's eig command to find the eigenvalues and eigenvectors. Transcribed image text: Problem 4 Solve the following problem from the text book.
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