Through introducing the Boltzmann constant 𝓀 𝐵 (Eq. 4a) and defining the partition function 𝑄 (Eq. 4a) I find that the states of this system are Boltzmann distributed (Eq. 4c) at any ∆𝜀. This unconventional derivation of the Boltzmann distribution does neither explicitly consider the conservation of energy nor introduces entropy. The inherent flaw of all derivations of the Boltzmann distribution, including the herein presented, is, that it ignores quantum mechanics. A proper derivation including quantum mechanical phenomena should instead yield Bose-Einstein statistics (Eq. 4d) for a system of bosons or the Fermi-Dirac statistics (Eq. 4c) for a system of fermions, with the chemical potential µ and no overlapping wave functions (sufficiently low particle density). However, when we consider chemical kinetics to occur at sufficiently low occupation numbers (𝜀(𝑞) -µ ≫ 𝓀 𝐵 𝑇), both statistics approach Boltzmann statistics, and the chemical potential becomes incorporated in the partition function 𝑍. I will later discuss the validity of this simplification.