William Barlow’s early publications in the ‘Zeitschrift für Krystallographie und Mineralogie’ and their influence on crystal structure research

Paufler, P.

doi:10.1515/zkri-2019-0044

Cited by 3 publications

(4 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The journal published many important papers in German, such as Fedorov's deviation of the space groups and Barlow's prediction of the crystal structure of NaCl. 29 Groth also wrote five volumes of Chemische Kristallographie, which listed the crystallographic properties of nearly 10,000 substances. He was described in 1912 as the 'doyen of the crystallographic world' by the English crystallographer Tutton, 30 and later by P. P.…”

Section: The Emergence Of the Physical Latticementioning

confidence: 99%

When is a Lattice Not a Lattice? The changing meaning of the term lattice in crystallography and physics

Palgrave

Tobin

2021

SSRN Journal

View full text Add to dashboard Cite

The concept of the lattice is central to the understanding of crystalline solids. However, usage of this word can very often differ between crystallographers, for whom a lattice is a mathematical object that describes the symmetry of a crystal, and physicists and chemists, for whom lattice is commonly used as a word for a regular array of particles. The similarity between the two definitions means they can easily be confused by students or inexperienced practitioners, but the fundamental differences can make the consequences of such confusion significant, an issue rarely tackled directly in popular textbooks. Here we examine the historical roots of this problem of context, and the changing understanding of the word 'lattice' over time. While the origins of the term lattice lie with the 19 th century mathematical crystallographers, their usage, both in terms of the words used and their meanings, was fluid, and no strong distinction between the lattice and the physical components of a crystal was made. Leading crystallographers in the early 20 th century regularly used the word lattice in a way that is unacceptable to some of their modern counterparts. We identify the decade after 1910 as the start of divergence between the physical and crystallographic meaning, catalysed by the discovery of X-ray diffraction and the development of lattice dynamics, although the current definitions did not become entrenched until the 1940s. While history has shown us that this classificatory issue is not just a matter of scientific disagreement and perhaps at its root is a disagreement in our understanding of classification itself. Lastly, we discuss possible resolutions to the matter.

show abstract

Section: The Emergence Of the Physical Latticementioning

confidence: 99%

When is a Lattice Not a Lattice? The changing meaning of the term lattice in crystallography and physics

Palgrave

Tobin

2021

SSRN Journal

View full text Add to dashboard Cite

show abstract

“…They proved an efficient vehicle to get along with symmetry operations. For a more recent comparison of various notations employed for space groups see, for instance, Hilton [33], Nowacki [34] and Paufler [35]. Fedorov signed his letters to Groth differently: till 1896 mostly "E. Fedorow"; 1896-1898 "Ew.…”

Section: Getting E S Fedorov As Author Referee and Consultantmentioning

confidence: 99%

“…After the pioneering derivation of 230 space group types by Fedorov, Schoenflies and Barlow (William Barlow's share in the evolution has been dealt with recently [35]) at the end of the 19th century, the concept of symmetry groups has been extended in various manners during the 20th century. Fedorov himself contributed an early step towards symmetry in two dimensions [68] as an amendment to his major publications on the symmetry of finite figures and regular systems of figures [26,69].…”

Section: Years After Fedorov: Postclassical Crystallographymentioning

confidence: 99%

E. S. Fedorov Promoting the Russian-German Scientific Interrelationship

Paufler

Филатов²

2020

Minerals

Self Cite

View full text Add to dashboard Cite

At the dawn of crystal structure analysis, the close personal contact between researchers in Russia and Germany, well documented in the “Zeitschrift für Krystallographie und Mineralogie”, contributed significantly to the evolution of our present knowledge of the crystalline state. The impact of the Russian crystallographer E. S. Fedorov upon German scientists such as A. Schoenflies and P. Groth and the effect of these contacts for Fedorov are highlighted hundred years after the death of the latter. A creative exchange of ideas paved the way for the analysis of crystal structures with the aid of X-ray diffraction.

show abstract

“…Barlow's solution is therefore the most idiosyncratic. He arranged gloves in space suspended on posts within frames (Tandy, 2004;Paufler, 2019).…”

Section: Introductionmentioning

confidence: 99%

A periodic-like table of space groups

Kahr

2023

Acta Cryst E

View full text Add to dashboard Cite

There are about 100 chemical elements, and 200 space groups, rounding to the nearest hundreds. The elements, by virtue of the iconic periodic table, which hangs in schoolrooms worldwide, are part of our common culture. Few on the outside of solid-state science and discrete mathematics know of the remarkable enumeration of the space groups and how they organize solids, the chemical elements included, that can be conformed to translationally periodic lattices in three dimensions. Perhaps the comparative inaccessibility of space groups to non-specialists can be attributed to the absence of a single chart that captures and organizes the space groups in a glance, as does the periodic table for the chemical elements? Here is designed a periodic-like table of the space groups. The symmorphic space groups are organized as the coordinates of two non-linear, non-orthogonal axes that capture the point group symmetry and the order of the group, the multiplicity of general positions. The related non-symmorphic groups are treated as `isotopes' of the symmorphic groups and are enumerated with a subscript. The intent is to inspire better designs and to bring the crystallographic space groups to the attention of a wider audience.

show abstract

William Barlow’s early publications in the ‘Zeitschrift für Krystallographie und Mineralogie’ and their influence on crystal structure research

Cited by 3 publications

References 66 publications

When is a Lattice Not a Lattice? The changing meaning of the term lattice in crystallography and physics

When is a Lattice Not a Lattice? The changing meaning of the term lattice in crystallography and physics

E. S. Fedorov Promoting the Russian-German Scientific Interrelationship

A periodic-like table of space groups

Contact Info

Product

Resources

About