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William Lash Miller

William Lash Miller 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 William Lash Miller rather than just read about it. In short: William Lash Miller, CBE, FRSC (1866 – 1940) was a Canadian chemist, chemistry professor, and pioneer of physical chemistry. Lash Miller was born on 10 September 1866 at Galt, Canada West.

Key takeaways

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

Reference excerpt

William Lash Miller, CBE, FRSC (1866 – 1940) was a Canadian chemist, chemistry professor, and pioneer of physical chemistry. Lash Miller was born on 10 September 1866 at Galt, Canada West. Lash Miller studied chemistry at the University of Toronto with bachelor's degree in 1887. He then studied from 1887 to 1889 under August Wilhelm von Hofmann, in 1889 under Viktor Meyer at the University of Göttingen, and in 1890 at the Ludwig-Maximilians-Universität München, where he received his doctorate in organic chemistry under Adolf von Baeyer. Subsequently, he studied with Wilhelm Ostwald at Leipzig University, which was a turning point in his chemistry career. From then on, he often spent summers in Ostwald's laboratory at Leipzig University. In 1891, Lash Miller became a demonstrator at the University of Toronto and was again in 1892 with Wilhelm Ostwald at Leipzig University, where he earned a second doctorate (in physical chemistry). At the University of Toronto, Lash Miller became in 1894 a lecturer, in 1900 an associate professor, and in 1908 a professor of physical chemistry at the University of Toronto. In 1937, he retired as a professor emeritus.

His greatest scientific strength lay in his mastery of the chemical thermodynamics of Willard Gibbs, learned from Ostwald at Leipzig. His greatest weakness (also learned from Ostwald) was his refusal to use or teach the atomic and molecular theories that formed the mainstream of 20th-century chemical thinking. Toronto became an important centre of chemical research, and a roster of Miller's pupils includes a remarkable number of important chemists. Lash Miller was considered one of the most important Canadian chemists at the time of his death. He built up the teaching of physical chemistry in Canada and was also one of Canada's first representatives of physical chemistry (and clinical biochemistry), with which he dealt from about 1915. With Ostwald, he devoted much of his scientific efforts to implement Gibbs' very theoretical concepts on a laboratory scale. Lash Miller did research on many areas of physical chemistry; in particular, he extended Gibbs' treatment of multicomponent systems. Miller served as the doctoral advisor of biochemist Clara Benson. Miller was elected to the Royal Society of Canada in 1899 and served as its President for 1934–1935. He was one of the main organizers of the Canadian Institute of Chemistry and was in 1926 its president. In 1926, he became the first Canadian honorary member of the American Chemical Society. He was a member of the editorial staff of the Journal of the American Chemical Society and of The Journal of Physical Chemistry A. He was made Commander of the Order of the British Empire in 1935. The Lash Miller Chemical Laboratories building, at the University of Toronto, is named in his honor. Chemist William Lash Miller is not to be confused with lawyer William Miller Lash, his double cousin (first cousin on both sides). He died on 1 September 1940 in Toronto.

Selected publications On the Conversion of Chemical Energy into Electrical, Journal of Physical Chemistry, 10 (1892), 459–466 with F. J. Smale: Introduction to qualitative analysis, 1896 On the Second Differential Coefficients of Gibbs Function ζ. The Vapor Tensions, Freezing and Boiling Points of Ternary Mixtures, Journal of Physical Chemistry, 1 (1896–1897), 633–642 Chemical and Physical Reactions, 1902 On the Mechanism of Induced Reactions, 1907 The Theory of the Direct Method of Determining Transport Numbers, Journal of Physical Chemistry, 69 (1910), 436–441 with T.R. Rosebrugh: Mathematical Theory of Changes in Concentration at the Electrode. Brought About by Diffusion and by Chemical Reactions, Journal of Physical Chemistry, 14 (1910), 816–885 The Influence of Diffusion on Electromotive Force Produced in Solutions by Centrifugal Action, Transactions of the Electrochemical Society, 21 (1912). 209–217 Toxicity and Chemical Potential, Journal of Physical Chemistry, 24 (1920), 562–569 The Method of Willard Gibbs in Chemical Thermodynamics, Chemical Reviews, 1 (1924-1925), 293–344 with A.R. Gordon: Numerical Evaluation of Infinite Series and Integrals Which Arise in Certain Problems of Linear Heat Flow, Electrochemical Diffusion, etc., Journal of Physical Chemistry, 35 (1931), 2785–2884

References

External links Miller Family archival papers held at the University of Toronto Archives and Records Management Services

Worked examples

Example 1 — a first encounter with William Lash Miller

Start with the simplest possible case. Write down what William Lash Miller 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 William Lash Miller 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 William Lash Miller 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 William Lash Miller

In research
William Lash Miller 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 William Lash Miller 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
William Lash Miller is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1866 births, 1940 deaths, Academic staff of the University of Toronto Faculty of Arts and Science, so understanding it makes those chapters shorter.
In everyday life
Look for William Lash Miller 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 William Lash Miller in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what William Lash Miller means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain William Lash Miller out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is William Lash Miller in simple terms?

William Lash Miller, CBE, FRSC (1866 – 1940) was a Canadian chemist, chemistry professor, and pioneer of physical chemistry. Lash Miller was born on 10 September 1866 at Galt, Canada West.

Why does William Lash Miller 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 William Lash Miller?

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 William Lash Miller.

Tags

  • 1866 births
  • 1940 deaths
  • Academic staff of the University of Toronto Faculty of Arts and Science
  • Canadian Commanders of the Order of the British Empire
  • Canadian physical chemists
  • Chemists of the University of Toronto
  • Fellows of the Royal Society of Canada
  • LMU Munich alumni
  • University of Göttingen alumni
  • University of Toronto Faculty of Arts and Science alumni

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