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applied arbitrary signs atoms of weight calculated centre of symmetry centrosymmetrical structure chart Cochran and Douglas coincidence array correct solution corresponding criterion derived difference card direct methods EDSAC electron density electronic computer equal atoms equal resolved atoms example fluorene Fourier synthesis give given glide plane Harker-Kasper inequalities Hauptman and Karle Illl 7777 Illl incorrect sign inequality relationships KP and KQ large number lead card magnitude mathematical method of structure nitroguanidine overlap P+(h Patterson function peaks of weight possible primary set primitive cell probable sign projection reciprocal lattice result salicylic acid Sayre's equation scattering factor sets of signs shown in Fig sign determination sign relation sign relationships sign symbols solved space group pgg SSSS SSSS SSSS structure containing structure factor equation structure invariants summation symmetry elements Table tetraethyl diphosphine disulphide total number Uh+h unit cell unitary structure factors Vand and Pepinsky vector Z-test