Protein crystal

The theory of protein crystallization

Protein crystallization is governed by the same physics that governs the formation of inorganic crystals. For crystallization to occur spontaneously, the crystal state must be favored thermodynamically. This is described by the Gibbs free energy (∆G), defined as ∆G = ∆H- T∆S, which captures how the enthalpy change of a process, ∆H, trades off with the corresponding change in entropy, ∆S. Entropy, roughly, describes the disorder of a system. Highly ordered states, such as protein crystals, are disfavored thermodynamically compared to more disordered states, such as solutions of proteins in solvent, because the transition to a more ordered state would decrease the total entropy of the system (negative ∆S). For crystals to form spontaneously, the ∆G of crystal formation must be negative. In other words, the entropic penalty must be paid by a corresponding decrease in the total energy of the system (∆H). Familiar inorganic crystals such as sodium chloride spontaneously form at ambient conditions because the crystal state decreases the total energy of the system. However, crystallization of some proteins under ambient conditions would both decrease the entropy (negative ∆S) and increase the total energy (positive ∆H) of the system, and thus does not occur spontaneously. To achieve crystallization of such proteins conditions are modified to make crystal formation energetically favorable. This is often accomplished by creation of a supersaturated solution of the sample.