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Cecil Arnold Beevers (27 May 1908 – 16 January 2001) was a British
crystallographer A crystallographer is a type of scientist who practices crystallography, in other words, who studies crystals. Career paths The work of crystallographers spans several academic disciplines, including the life sciences, chemistry, physics, and m ...
, known for Beevers–Lipson strips, a computational aid for calculating
Fourier transform In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input then outputs another function that describes the extent to which various frequencies are present in the original function. The output of the tr ...
s to determine the structure of
crystal A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions. In addition, macros ...
s from crystallographic data, enabling the creation of models for complex molecules.


Life and career

C. Arnold Beevers was born in
Manchester Manchester () is a city and the metropolitan borough of Greater Manchester, England. It had an estimated population of in . Greater Manchester is the third-most populous metropolitan area in the United Kingdom, with a population of 2.92&nbs ...
,
England England is a Countries of the United Kingdom, country that is part of the United Kingdom. It is located on the island of Great Britain, of which it covers about 62%, and List of islands of England, more than 100 smaller adjacent islands. It ...
. His family moved to
Liverpool Liverpool is a port City status in the United Kingdom, city and metropolitan borough in Merseyside, England. It is situated on the eastern side of the River Mersey, Mersey Estuary, near the Irish Sea, north-west of London. With a population ...
and he attended the
University of Liverpool The University of Liverpool (abbreviated UOL) is a Public university, public research university in Liverpool, England. Founded in 1881 as University College Liverpool, Victoria University (United Kingdom), Victoria University, it received Ro ...
, gaining a BSc degree in
Physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...
in 1929, and a
DSc DSC or Dsc may refer to: Education * Doctor of Science (D.Sc.) * District Selection Committee, an entrance exam in India * Doctor of Surgical Chiropody, superseded in the 1960s by Doctor of Podiatric Medicine Educational institutions * Dyal Sin ...
degree in 1933. At Liverpool University, Beevers was influenced by Professor
Lionel Wilberforce Lionel Robert Wilberforce (18 April 1861 – 1 April 1944) was a British physicist. He is best known for the invention of the Wilberforce pendulum, which exhibits a curious motion in which periods of purely rotational oscillation gradually alt ...
. After he graduated, Beevers was invited to work on
X-ray diffraction X-ray diffraction is a generic term for phenomena associated with changes in the direction of X-ray beams due to interactions with the electrons around atoms. It occurs due to elastic scattering, when there is no change in the energy of the waves. ...
, together with Henry Lipson. The two scientists often visited the
University of Manchester The University of Manchester is a public university, public research university in Manchester, England. The main campus is south of Manchester city centre, Manchester City Centre on Wilmslow Road, Oxford Road. The University of Manchester is c ...
to seek advice from
Lawrence Bragg Sir William Lawrence Bragg (31 March 1890 – 1 July 1971) was an Australian-born British physicist who shared the 1915 Nobel Prize in Physics with his father William Henry Bragg "for their services in the analysis of crystal structure by m ...
. Subsequently, Beevers moved to a post at Manchester. Beevers explored the structure of the crystal
Beta Alumina Beta-alumina solid electrolyte (BASE) is a fast-ion conductor material used as a membrane A membrane is a selective barrier; it allows some things to pass through but stops others. Such things may be molecules, ions, or other small particles. ...
with
Marion Ross Marion Ross (born Marian Eileen Ross; October 25, 1928) is an American actress. Her best-known role is that of Marion Cunningham (Happy Days), Marion Cunningham on the American Broadcasting Company, ABC television sitcom ''Happy Days'', on which ...
at Manchester. They noted there were 'problem' sites in the areas occupied by mobile
sodium Sodium is a chemical element; it has Symbol (chemistry), symbol Na (from Neo-Latin ) and atomic number 11. It is a soft, silvery-white, highly reactive metal. Sodium is an alkali metal, being in group 1 element, group 1 of the peri ...
ions. Subsequently, the presence of these ions was discovered to make this crystal an efficient
fast-ion conductor In materials science, fast ion conductors are solid conductors with highly mobile ions. These materials are important in the area of solid state ionics, and are also known as solid electrolytes and superionic conductors. These materials are useful ...
. As a tribute to their discovery, the locations of these ions are now known as ''Beevers–Ross sites'' and ''anti-Beevers–Ross sites''. Beevers then had short appointment at the
University of Hull The University of Hull is a public research university in Kingston upon Hull, a city in the East Riding of Yorkshire, England. It was founded in 1927 as University College Hull. The main university campus is located in Hull and is home to the Hu ...
, but in 1938 he became Dewar
Fellow A fellow is a title and form of address for distinguished, learned, or skilled individuals in academia, medicine, research, and industry. The exact meaning of the term differs in each field. In learned society, learned or professional society, p ...
in
Crystallography Crystallography is the branch of science devoted to the study of molecular and crystalline structure and properties. The word ''crystallography'' is derived from the Ancient Greek word (; "clear ice, rock-crystal"), and (; "to write"). In J ...
at the
University of Edinburgh The University of Edinburgh (, ; abbreviated as ''Edin.'' in Post-nominal letters, post-nominals) is a Public university, public research university based in Edinburgh, Scotland. Founded by the City of Edinburgh Council, town council under th ...
, a post that was jointly associated with the Departments of Physics and Chemistry. Beevers was elected a
Fellow A fellow is a title and form of address for distinguished, learned, or skilled individuals in academia, medicine, research, and industry. The exact meaning of the term differs in each field. In learned society, learned or professional society, p ...
of the
Royal Society of Edinburgh The Royal Society of Edinburgh (RSE) is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was establis ...
later in the same year. Beevers remained in
Edinburgh Edinburgh is the capital city of Scotland and one of its 32 Council areas of Scotland, council areas. The city is located in southeast Scotland and is bounded to the north by the Firth of Forth and to the south by the Pentland Hills. Edinburgh ...
for the rest of his life and was Reader in Crystallography at the University. His notable students included Douglas M. C. MacEwan
FRSE Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and Literature, letters, judged to be "eminently distinguished in their subject". ...
. Arnold Beevers was a
Quaker Quakers are people who belong to the Religious Society of Friends, a historically Protestant Christian set of denominations. Members refer to each other as Friends after in the Bible, and originally, others referred to them as Quakers ...
and this influenced his approach to life and science. He was involved with
disabled people Disability is the experience of any condition that makes it more difficult for a person to do certain activities or have equitable access within a given society. Disabilities may be cognitive, developmental, intellectual, mental, physical, ...
and this was important in his development of Beevers Miniature Models (now operating as Miramodus Ltd.), ball-and-spoke
molecular model A molecular model is a physical model of an atomistic system that represents molecules and their processes. They play an important role in understanding chemistry and generating and testing hypotheses. The creation of mathematical models of mole ...
s used for education purposes, largely made by disabled workers, first produced in 1961.


Beevers–Lipson strips

Beevers developed Beevers–Lipson strips with Henry Lipson CBE FRS (1910–1991), Professor of
Physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...
at the
University of Manchester Institute of Science and Technology The University of Manchester Institute of Science and Technology (UMIST) was a university based in the centre of the city of Manchester in England. It specialised in technical and scientific subjects and was a major centre for Research univer ...
(
England England is a Countries of the United Kingdom, country that is part of the United Kingdom. It is located on the island of Great Britain, of which it covers about 62%, and List of islands of England, more than 100 smaller adjacent islands. It ...
). The approach converted the large calculations of multi-dimensional Fourier summations needed in crystallography analysis into sums of more manageable one-dimensional values. The folded card strips with numbers were stored in normally wooden boxes, one for
sine In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite th ...
s and one for
cosine In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite that ...
s. Previously it was necessary to consult sine/cosine tables, a time-consuming process.


Legacy

Beevers Miniature Models continued to be produced by Miramodus Ltd. at the University of Edinburgh. The
British Crystallographic Association The British Crystallographic Association (BCA) is an association for crystallographers, based in the United Kingdom. It is one of the largest crystallographic societies in the world. The Association administers a Dorothy Hodgkin Prize and an Ar ...
administers an Arnold Beevers Bursary Fund.


See also

*
X-ray crystallography X-ray crystallography is the experimental science of determining the atomic and molecular structure of a crystal, in which the crystalline structure causes a beam of incident X-rays to Diffraction, diffract in specific directions. By measuring th ...


References


External links


Miramodus Ltd. (formerly Beevers Molecular Models)
{{DEFAULTSORT:Beevers, Cecil Arnold 1908 births 2001 deaths Scientists from Manchester Alumni of the University of Liverpool British chemists 20th-century British physicists British crystallographers Academics of the University of Liverpool Academics of the Victoria University of Manchester Academics of the University of Hull Academics of the University of Edinburgh British Quakers 20th-century Quakers Fellows of the Royal Society of Edinburgh