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The collection comprises correspondence, mainly concerning meteorological readings and Daniell's religious beliefs, lecture notebooks and printed pamphlets on meteorology and the battery, certificates of membership of learned societies, and obituaries and biographies of Daniell, 1821-1990. Notably including correspondence between Daniell and friends and colleagues such as Charles Babbage, Lucasian Professor of Mathematics, University of Cambridge, Charles James Blomfield, Bishop of London, Sir Marc Isambard Brunel, engineer, Samuel Taylor Coleridge, poet, Michael Faraday, Joseph Louis Gay-Lussac, chemist, John Frederic William Herschel, astronomer, James Clark Ross, polar navigator, principally concerning meteorology and meteorological instruments, the chemistry of batteries, the publication of Daniell's books and articles, the management of the Royal Society, London, Daniell's religious beliefs, 1821-1857; manuscript copies of lectures delivered by Daniell including at King's College London and the Military School of the East India Company, Addiscombe, Surrey, 1831-1845; printed articles and pamphlets by Daniell or reviews of his work, including On voltaic combinations (London, 1836), reviews of Meteorological essays and observations (London, 1823), 1823-1860; membership certificates of Daniell to various learned societies including National Institute for the Promotion of Science, Washington, US, 1839-1845; obituaries and biographies of Daniell, 1845-1990.

Papers of Professor Albrecht Fröhlich,1916-2001, reflecting his mathematical research, publications and correspondence with colleagues. Papers are divided into six sections comprising biographical papers; research papers; publications; papers relating to visits, conferences and lectures; correspondence and theses and examinations.

Biographical papers include obituaries, memoirs and papers relating to memorials including a service in the Chapel of Robinson College Cambridge, 10 Feb 2002; autobiographical papers including copy of Fröhlich's entry for Personal Records of Fellows of the Royal Society; papers relating to Fröhlich's career, honours and awards including his Ph.D. thesis 'On some topics in the theory of representation of groups and in class field theory', and correspondence and papers relating to his university appointments and some of his principal honours, including election to the Fellowship of the Royal Society.Research papers chiefly comprise mathematical workings, notes and drafts: notably relating to work on the decomposition of primes [1950] and work on Galois module theory and Gauss sums.

Publications comprise published material by Fröhlich,1950-2000, drafts and unpublished drafts, including work with Charles Terence Clegg Wall on Brauer groups, 'Galois modules and the functional equation', and draft of a longer text entitled 'mathematical theory of ostensive and consequently of empirical predicates'.

Visits, conferences and lectures include papers relating to Fröhlich's conference attendance and overseas visits 1956-1998, documentation of his participation in mathematics meetings held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany and papers relating to Visiting Professorships, including invitations, programmes, and texts or abstracts of lectures.

Correspondence,1950-2000, on subjects including progress of Fröhlich's research, discussions of problems with mathematical workings and drafts of papers. Notable correspondents include Fröhlich's Ph.D. supervisor Hans Arnold Heilbronn, colleagues Jean-Pierre Serre, Olga Taussky-Todd, Stephen Virgil Ullom and Charles Terence Clegg Wall, and former research students Colin J. Bushnell, Martin J. Taylor and Stephen Mark Johnson Wilson.

Theses and examinations comprise, theses of Ph.D. students supervised or examined by Fröhlich,including his research students at King's College London and examination papers, some with Fröhlich's manuscript calculations of answers, 1980-1990.

The papers of William Price, chiefly relating to spectroscopic analysis and photoionisation, comprise correspondence, lecture and teaching notes, notes compiled while reviewing scientific articles, original research notes, papers concerning Price's employment as an examiner, obituaries and reprints of journal articles, 1929-1993. These notably include correspondence with colleagues describing projects and experiments and sharing observations and data, 1942-1990; lecture notes and teaching papers compiled by Price on the theory of spectroscopy, theoretical and applied optics, especially microscopy, basic molecular chemistry, electron configurations and bond and dissociation energies of molecules, 1948-1978; notes compiled by Price for the peer review of articles and on Price's own published articles, including on the spectra of halogens, the structure of polyatomic molecules, on water and hydrides, the calculation of ionisation potentials, benzenes and hydrocarbons, the structure of the DNA molecule and natural fibres such as keratin, 1929-1977; original research notes on spectroscopic analysis, especially ultraviolet spectra of rare gases, ethylene, sulphur dioxide and other compounds, 1933-1986; papers relating to Price's work as an examiner including draft and complete examination question papers and correspondence, 1952-1978; papers concerning the membership by Price of various learned societies and attendance at scientific conferences and symposia, 1940-1992; obituaries and newspaper cuttings on Price and other distinguished scientists, 1976-1993; typescript copies and reprints of scientific journals containing articles by Price and others, on topics including spectroscopy, photoionization, ionisation potentials and electron configuration and bond and dissociation energies, 1945-1990.