How Do You Study The Harmonic Oscillator Phenomenon In Chemistry?
• Learn the definition. Harmonic oscillations refer to a physical phenomenon in which an object of mass m is doing a periodic motion under the effect of a restoring force which tends to force the object to its original state of equilibrium. This phenomenon was originally formulated for classical mechanical systems such as the periodic motion of a pendulum. • This harmonic motion in classical mechanics is depicted mathematically using the following equation: • F=-kx where F is the force that is acting on the mass m and x is its displacement from its equilibrium state and k is a constant. The minus sign comes here to designate the fact that it is a restoring force to an equilibrium state. • Learn about its role in quantum mechanics. The classical mechanical phenomenon of the harmonic oscillator has similar representation in the theory of quantum mechanics. In the theory of quantum mechanics it finds use in the description of vibrational movement of bonds between atoms. The quantum mechan