This report concerns the X-ray resonance scattering work carried out using the instrument X15 which receives synchrotron radiation from the storage ring DORIS. X15 covers a wavelength range from 0.6 to 3.3 Å. It therefore accesses resonance scattering at the K-absorption edges of the elements with Z = 20 (Ca) to Z = 42 (Mo) and at the L 3-absorption edges from Z = 50 (Sn) to all heavier atoms. The instrument consists of a double monochromator with a vertical offset of the beam by 1.22 m and a camera of 10 m length. A multiwire proportional chamber (from A. Gabriel) at the end of the evacuated beam line detects the scattered X-ray photons on its area 200 mm × 200 mm. The distances between sample and detector may vary in discrete steps from 0.37 m to 7.2 m. The extreme resolution in physical space from 3 Å to 3000 Å at the short and long wavelength side respectively makes X15 suitable for structure research of both low molecular weight organic compounds and macromolecular structures. Resonance X-ray scattering starts there, where the structure-resolving power of the X-ray absorption fine structure ends, i.e. at about 3 to 4 Å*. The dispersion of the resonance scattering factors f′ and f″ is strongest in the near edge region. It is also there that the chemistry of the excited atom may modify significantly the dispersion. We define the Scheme (see below). Any question of this Scheme relies on the preceding one being answered, at least experimentally (‘heard, but not fully understood’). Resonance X-ray scattering starts from the measurement of the absorption spectrum of the atom chosen as a label. The absorption spectrum does not need to be analyzed further except that it is the basis for the calculation of the resonant scattering factors f′ and″. For semicrystalline and amorphous systems described by ▪ the dispersion of the scattering intensity will be Iλ(h) = I O(h) + f′(λ)I OR(h) + {f′ 2(λ) + f″ 2(λ)}I R(h) Compare: 4b and 4a. The three basic scattering functions I O, I OR and I R λ differing in dimensions λ can be determined by measurements of I(h) at three (in practice: 20) different wavelengths in the near edge region. The cross term I OR(h) is usually most easily measured, as its dispersion function f′ (λ) differs strongly from the always predominant dispersion of the absorption and, to a smaller extent, fluorescence. Very often it is the only resonant term which can be obtained in practice. Examples are: • Iron in ferritin, dispersion of the radius of gyration of the ferritin molecules, (Stuhrmann, 1980). • Iron in hemoglobin, distances between the iron atoms of the four subunits of oxyhemoglobin, (Stuhrmann and Notbohm, 1981). • Zinc and mercury in the native and ligated Hg-derivative of ATCase (Moody). • Terbium bound to tRNA (Rigler). • Cobalt in copper (Gerstenberg). • Zinc in aluminium (Kostorz). • Distribution of ions around polyelectrolytes. Cs and I in DNA (Oberthür), Cs, Rb and Br in polyacrylic acid (Ragnetti), Cs, Ba and I in E. coli ribosomal 50S subunit (Nierhaus), binding of Ba ions to LDL and of Eu ions to DPPC vesicles (Laggner), Er in DPPC membranes (Büldt). • Bromine as a probe for the distribution of epibromhydrin in a semicrystalline copolymer PEO-epibromhydrin (Strobl, Urban). Question: Measurement of: Information: 1. Who are you? Ionization energy analytical 2. How are you? (valency, covalency) X-ray absorption near edge structure, XANES chemical range: ∼1 Å 3. What and where are your nearest neighbours? extended X-ray absorption fine structure, EXAFS chemical and structural range: ∼4 Å 4a. From excited atom to excited atoms X-ray resonance scattering in the near structural range: 4b. From excited atoms to silent atoms edge region ∼100 Å 5. From excited atom to another excited atom feeling different (different XANES) X-ray resonance scattering with more detailed dispersion analysis structural and chemical range: ∼100 Å It appears that only in the last two cases I R(h) could have been determined directly from the dispersion function f′(λ) + f″(λ). The influence of statistical and systematic errors on the results will be discussed.