This is the maximum distance the atoms can be placed away from
each other. If you change any of the angles, some of the atoms will
be closer together and will experience steric repulsions. By
placing the atoms 109.5 degrees apart, you minimize steric
repulsions and free energy.
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(AY12345): You know the shape of the molecule. Draw it out. Use a
little trigonometry, and the angles can be calculated
mathematically.