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For a centric crystal structure represented by  m  equal point scatterers at rest, absolute scaling of a small number  n  of reflection data reduced to relative geometrical structure amplitudes  g ′(  h  ) =  K  · |∑ cos (2π i   hr    j  )|,  j  = 1, …,  m ;  K  = scaling factor) is obtained by dividing each amplitude through the r.m.s. average of the amplitudes to be considered. For the same batch of reflections, the resulting values  e (  h  ,  n ) are proportional to the well known normalized structure amplitudes | E (  h  )| in Direct Methods. Choosing a set of  n  harmonic reflections of a central reciprocal lattice row, the  e (  h  ,  n ) serve to determine the  m  independent coordinates of the point scatterers projected onto the corresponding direct space direction,  e.g .  h 00-reflections for coordinates  x j  ,  hh 0-reflections for ( x  +  y ) j  ( j  = 1, …,  m ),  etc .

Structure determination without Fourier inversion. Part IV: Using quasi-normalized data