Consider an isolated carbon atom being held in its equilibrium lattice site position by the mutual interaction with the neighboring atoms. If the spring constant driving the carbon atom back into its equilibrium lattice site is 21.71 N/m, what is the frequency of oscillation? The atomic mass of carbon is given in the periodic table. Give your answers in units of 1012 rad/s with 2 digits precision, rounding off to two decimal places, i.e. the nearest hundredths. (time budget 6min)

Consider an isolated carbon atom being held in its equilibrium lattice site position by the mutual interaction with the neighboring atoms. If the spring constant driving the carbon atom back into its equilibrium lattice site is 21.71 N/m, what is the frequency of oscillation? The atomic mass of carbon is given in the periodic table. Give your answers in units of 1012 rad/s with 2 digits precision, rounding off to two decimal places, i.e. the nearest hundredths. (time budget 6min)