Nobel Prize Chemistry Herbert A. Hauptman Autographed Manuscript on Probabilistic Solution to the Crystallographic Phase Problem

Herbert A. Hauptman

Manuscripts & Autographs

Hauptman, Herbert A. Autographed scientific manuscript on the probabilistic solution to the crystallographic phase problem, twentieth century, documenting the mathematical framework that transformed X ray crystallography and formed the basis for the 1985 Nobel Prize in Chemistry awarded to Hauptman and Jerome Karle. The manuscript addresses the general formula for the compound probability distribution of the real and imaginary parts of the structure factor for both centrosymmetric and non centrosymmetric crystals as a function of the indices, together with the probability distribution for the magnitude of the structure factor. These results established the theoretical foundation of direct methods in crystallography, enabling determination of crystal structures without reliance on prior structural models and resolving the longstanding phase problem that had limited structural chemistry since the early development of diffraction techniques.

Hauptman, Herbert A. Autograph scientific manuscript. No place, no date. Twenty three handwritten pages in pencil containing mathematical derivations and scientific exposition. The manuscript reflects Hauptman’s pioneering probabilistic approach, in which he derived probability distributions for phase invariants—most notably triplet phase relationships—and introduced a discriminant (commonly denoted Δ) capable of predicting whether a triplet phase is near 0 or π. Extreme values of this discriminant correlate with extreme values of the invariant, providing a practical figure of merit for structure solution. These concepts allowed experimentally observed diffraction intensities to be mathematically linked to otherwise inaccessible phase information, yielding a unified treatment applicable across the full range of crystal symmetries encountered in real materials. From this framework flowed the systematic and routine solution of increasingly complex molecular structures, including biologically and chemically significant compounds, fundamentally reshaping research in inorganic chemistry, organic chemistry, and the chemistry of natural products.

His Nobel Prize recognized a methodological breakthrough rather than a single compound or reaction, underscoring the structural and conceptual transformation his work produced across inorganic, organic, and biological chemistry. Light handling wear consistent with working scientific notes; pages intact, clean, and fully legible in pencil. Overall condition: very good. As an autograph working manuscript, this document constitutes rare primary evidence of the mathematical reasoning that solved the crystallographic phase problem and laid the groundwork for modern structural determination across science, chemistry, and medicine. Condition: The manuscript is in very good condition, with all 23 pages intact, clean, and clearly legible in pencil, showing only light handling wear consistent with working scientific notes. Overall condition: Very Good.

Item #15059

Price: $1,200.00