The unimolecular decomposition of large polyatomic hydrocarbon (720 an
d 1000 modes) and protein (540 modes) molecules and molecular ions is
investigated by applying RRKM, effective RRK (ERRK), and Arrhenius mod
els. It is found that the calculated values of the RRKM unimolecular r
ate coefficients, k(E), agree well with fragmentation lifetimes of mol
ecular ions in a mass spectrometer. Calculations of the effective numb
er of modes at a given temperature and excitation energy together with
ERRK expression for k(E) yield values which are similar to those calc
ulated by RRKM. With the assumption that a 1000-mode supermolecule is
its own heat bath at a vibrational temperature commensurate with its t
otal internal energy, an Arrhenius expression for the rate coefficient
is obtained which yield values for the rate coefficient which are in
a rough agreement with values calculated by the two methods described
above.