FULL-MATRIX REFINEMENT OF THE PROTEIN CRAMBIN AT 0.83-ANGSTROM AND 130-K

This paper describes the first successful full-matrix least-squares (F MLS) refinement of a protein structure. The example used is crambin wh ich is a small hydrophobic protein (4.7 kDa, 46 residues). It proves t he feasibility of refining such large molecules by this classic method , routinely applied to small molecules. The final structure with 381 n on-H protein atoms (54 protein atoms in alternative positions), 367 H atoms, 162 water molecules (combined occupancy 93) and one disordered ethanol molecule converged to a standard unweighted crystallographic R factor of R = 9.0% when refined against F with reflections stronger t han F > 2 sigma(F) and R = 9.5% when refined against F-2. The programs RFINE [Finger & Prince (1975). Natl Bur. Stand. (US) Tech. Note 854. A System of Fortran IV Computer Programs for Crystal Structure Computa tions] and SHELXL93 [Sheldrick (1993). SHELXL93. Program for Crystal S tructure Refinement, Univ. of Gottingen, Germany] were used for FMLS r efinement with the high-resolution low-temperature (0.83 Angstrom, 130 K) data set of a mixed-sequence form of crambin. A detailed analysis of the models obtained in FMLS and PROLSQ [restrained least squares or RLS; Teeter, Roe & Heo (1993), J. Mol. Biol. 230, 292-311] refinement s with the same data set is presented, The differences between the mod els obtained by both FMLS and RLS refinements are systematic but negli gible and advantages and shortcomings of both methods are discussed. T he final structure has very good geometry, fully comparable to the geo metry of other structures in this resolution range. Ideal values used in PROLSQ and those by Engh & Huber [Engh & Huber (1991). Acta Cryst. A47, 392-400] differ significantly from this refinement and we recomme nd a new standard. FMLS refinement constitutes a sensitive tool to det ect and model disorder in highly refined protein structures. We descri be the modeling of temperature factors by the TLS method [Schomaker & Trueblood (1968). Acta Cryst. B24, 63-76], Rigid body-TLS refinements led to a better understanding of different modes of vibrations of the molecule. Refinements using F-2 or F protocols converged and reached s lightly different minima. Despite theoretical support for F-2-based re finement, we recommend refinement on structure factors.