The main emphasis of his work was broadly considered theory of
oscillations, which included
optics and
quantum mechanics. He was a co-discoverer of inelastic
combinational scattering of light used now in
Raman spectroscopy (see below). This paradigm-altering discovery (together with
Grigory Landsberg) had occurred at
Moscow State University just one week earlier than a parallel discovery of the same phenomena by Indian physicists
C. V. Raman and
K. S. Krishnan. In Russian literature, it is called "combinational scattering of light" (from combination of frequencies of photons and molecular vibrations) but in English it is named after Raman.
Discovery of the combinational scattering of light In 1918, Mandelstam theoretically predicted the
fine structure splitting in
Rayleigh scattering due to light scattering on thermal acoustic waves. Beginning from 1926, Mandelstam and Landsberg initiated experimental studies on vibrational scattering of light in
crystals at the Moscow State University. As a result of this research, Landsberg and Mandelstam discovered the effect of the combinational scattering of light on 21 February 1928. They presented this fundamental discovery for the first time at a colloquium on 27 April 1928. They published brief reports about this discovery (experimental results with some attempt at a theoretical explanation) in Russian and in German and then published a comprehensive paper in
Zeitschrift für Physik. The same year, C. V. Raman and K. S. Krishnan also observed the inelastic scattering of light. Raman stated that "The line spectrum of the new radiation was first seen on 28 February 1928". Thus, combinational scattering of light was observed by Mandelstam and Landsberg a week earlier than by Raman and Krishnan. However, according to the Physics Nobel Committee, Mandelstam and Landsberg were unable to provide an independent, complete interpretation for the discovery, as they only later cited Raman's article. Also, their observations were limited to crystals, whereas Raman and Krishnan showed the effect in solids, liquids, and vapors, thus proving the universal nature of the effect. Raman's method was further applied with great success in different fields of molecular physics, for example in the composition analysis of liquids, gases, and solids, and provided significant insight on nuclear spins. Hence, the light-scattering phenomenon became known as
Raman scattering or the Raman effect. Mandelstam's lectures in optics dated by 1944 can be considered as the formal beginning of the second stage of the DNG-
metamaterials theory. == Scientific school and legacy==