astronomy

Paul Niggli

Paul Niggli is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Paul Niggli rather than just read about it. In short: Paul Niggli (26 June 1888 – 13 January 1953) was a Swiss crystallographer, mineralogist, and petrologist who was a leader in the field of X-ray crystallography. Education and career Niggli was born in Zofingen and studied at the Swiss Federal Institute of Technology (ETH) in Zürich and the University of Zurich, where he obtained a doctorate.

Key takeaways

Paul Niggli belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Paul Niggli to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Paul Niggli from memory before moving on to harder problems.

Reference excerpt

Paul Niggli (26 June 1888 – 13 January 1953) was a Swiss crystallographer, mineralogist, and petrologist who was a leader in the field of X-ray crystallography.

Education and career Niggli was born in Zofingen and studied at the Swiss Federal Institute of Technology (ETH) in Zürich and the University of Zurich, where he obtained a doctorate. His 1919 book, Geometrische Kristallographie des Diskontinuums, played a seminal role in the refinement of space group theory. In this book, Niggli demonstrated that although X-ray reflection conditions do not always uniquely determine the space group to which a crystal belongs, they do reveal a small number of possible space groups to which it could belong. Niggli used morphological methods to account for internal structure and, in his 1928 Kristallographische und Strukturtheoretische Grundbegriffe, he took up what is essentially the reverse process, the task of establishing the connection between space lattices and external crystal morphology. The great aim of his life was to integrate the whole field of Earth sciences. In 1920, Niggli became the lead scientist at the ETH's Institut für Mineralogie und Petrographie, where he brought his systematic approach to the study of crystal morphologies using X-ray diffraction. In 1935, Niggli and his doctoral student Werner Nowacki (1909–1988) determined the 73 three-dimensional arithmetic crystal classes (symmorphic space groups). Niggli retired from the Institute in 1949. He was also professor of mineralogy at the ETH Zurich and at the University of Zurich. Niggli succeeded Paul Heinrich von Groth (1843–1927) as editor of Zeitschrift für Kristallographie.

Honors and awards In 1948, Niggli was awarded the Roebling Medal of the Mineralogical Society of America. Since 1988 the Paul Niggli Foundation awards medals to outstanding Swiss mineral scientists below the age of 35 with a strong perspective for an academic career. Dorsum Niggli on the Moon was named after him.

Personal life Niggli married Hedwig Dübendorfer (later Hedwig Niggli) in 1915. He had two children with her, Ernst Niggli and Hedi Fritz-Niggli.

Bibliography Niggli, Paul (1919). Geometrische Kristallographie des Diskontinuums (in German). Leipzig Gebr. Borntraeger. Niggli, Paul (1924). "Lehrbuch der Mineralogie" (in German). Niggli, Paul (1928). "Krystallographische und strukturtheoretische grundbegriffe" (in German). Niggli, Paul (1945). Grundlagen der Stereochemie (in German). Basel: Springer Basel. doi:10.1007/978-3-0348-4111-5. ISBN 978-3-0348-4039-2. {{cite book}}: ISBN / Date incompatibility (help) Niggli, Paul (1949). "Probleme der Naturwissenschaften, erläutert am Begriff der Mineralart" (in German). Niggli, Paul; Niggli, Ernst (1952). Gesteine Und Minerallagerstätten (in German). Basel: Birkhäuser Basel. doi:10.1007/978-3-0348-7173-0. ISBN 978-3-0348-7174-7. {{cite book}}: ISBN / Date incompatibility (help)

References

External links Paul Niggli Foundation

Illustrations

Worked examples

Example 1 — a first encounter with Paul Niggli

Start with the simplest possible case. Write down what Paul Niggli claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Paul Niggli before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Paul Niggli ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Paul Niggli

In research: Paul Niggli appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Paul Niggli in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Paul Niggli is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1888 births, 1953 deaths, Academic staff of ETH Zurich, so understanding it makes those chapters shorter.
In everyday life: Look for Paul Niggli outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Paul Niggli in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Paul Niggli means in your own words.
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Frequently asked questions

What is Paul Niggli in simple terms?

Paul Niggli (26 June 1888 – 13 January 1953) was a Swiss crystallographer, mineralogist, and petrologist who was a leader in the field of X-ray crystallography. Education and career Niggli was born in Zofingen and studied at the Swiss Federal Institute of Technology (ETH) in Zürich and the Universi…

Why does Paul Niggli matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Paul Niggli?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Paul Niggli.