Joining of bacteriophage T4D heads and tails: A kinetic study by inelastic light scattering

We have used inelastic laser light scattering to study the kinetics of the spontaneous assembly of heads and tails of bacteriophage T4D to form noninfectious tail fiberless particles. For interpretation of the kinetics, it was first necessary to determine the physical properties of the strongly scattering phage parts. For heads, these are D_{20,w = 3.60 × 10^?8cm²/s, 820,w = 1025 S, M = 1.76 × 10⁸}. For tail fiberless particles, D_20,w = 3.14 × 10^?8cm²/s, 8_20,w = 968 S, and M = 1.95 × 10⁸. The kinetics of the head-tail joining process was followed by measuring the time variation of the homodyne scattering autocorrelation function. This was interpreted as a sum of exponentials whose decay constants were known from the scattering angle and the diffusion coefficients, and whose amplitudes were related to the concentrations of reactants and products. Scattering experiments at 22 °C gave a bimolecular rate constant of 1.02 × 10⁷m^?1 s^?1, while infectivity assays at 30 °C gave a rate constant of 1.28 × 10⁷. Adjustment of both rate constants to 20 °C, assuming diffusion controlled reaction, gave 0.97 × 10⁷ and 0.98 × 10⁷m^?1 s^?1, respectively. This rate is about $\text{1}\text{500}$ that predicted by Smoluchowski theory for a diffusion controlled reaction between two spherical particles; the discrepancy is largely explicable from orientational factors.