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Richard C. Tolman
Richard C. Tolman in 1945
Born	(1881-03-04)March 4, 1881 West Newton, Massachusetts, U.S.
Died	September 5, 1948(1948-09-05) (aged 67) Pasadena, California, U.S.
Alma mater	Massachusetts Institute of Technology (BS, PhD)
Scientific career
Fields	Physical chemistry Statistical Mechanics Cosmology
Institutions	California Institute of Technology
Thesis	The Electromotive Force Produced in Solutions by Centrifugal Action (1910)
Doctoral advisor	Arthur Amos Noyes
Doctoral students	Allan C. G. Mitchell Linus Pauling

Richard Chace Tolman (March 4, 1881 – September 5, 1948) was an American mathematical physicist and physical chemist who made many contributions to statistical mechanics and theoretical cosmology. He was a professor at the California Institute of Technology (Caltech).

Early life and education

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Tolman was born in West Newton, Massachusetts to a successful businessman and a Quaker mother. Tolman attended the local public schools before matriculating at the Massachusetts Institute of Technology (MIT), where he earned his bachelor's degree in chemical engineering 1903. He spent the following year studying abroad in Germany before returning to MIT for further studies. He was mentored by Arthur Amos Noyes, a pioneer of physical chemistry, and received PhD in 1910 under Noyes' supervision. He subsequently worked briefly at various universities before the outbreak of World War I.

Scientific career

In 1912, he conceived of the concept of relativistic mass, writing that "the expression ${\displaystyle m_{0}\left(1-{\frac {v^{2}}{c^{2}}}\right)^{-1/2}}$ is best suited for the mass of a moving body."

During the First World War, Tolman served in the Chemical Warfare Service, attaining the rank of Major. When the war ended, he continued working for the government for some years, researching nitrogen fixation.

In a 1916 experiment with Thomas Dale Stewart, Tolman demonstrated that electricity consists of electrons flowing through a metallic conductor. A by-product of this experiment was a measured value of the mass of the electron. This early work sparked Tolman's interest in chemical kinetics and statistical mechanics. Tolman and his collaborators at the Fixed Nitrogen Research Laboratory at the University of California thanked the government for enabling them to conduct fundamental research that had little immediate relevance to their assigned project, writing that "such a liberal policy is of great importance in maintaining a proper scientific attitude on the part of the staff of a research laboratory."

Tolman was a member of the Technical Alliance in 1919, a forerunner of the Technocracy movement where he helped conduct an energy survey analyzing the possibility of applying science to social and industrial affairs.

Tolman was elected a Fellow of the American Academy of Arts and Sciences in 1922. The same year, he joined the faculty of the California Institute of Technology, where he became professor of physical chemistry and mathematical physics and later Dean of Graduate Studies. One of Tolman's early students at Caltech was the theoretical chemist Linus Pauling, to whom Tolman taught the old quantum theory. Tolman was elected to the National Academy of Sciences of the United States in 1923. His years at Caltech were his most productive.

In 1927, Tolman published a text on statistical mechanics whose background was the old quantum theory of Max Planck, Niels Bohr and Arnold Sommerfeld. Tolman was elected to the American Philosophical Society in 1932. In 1938, he published a new detailed work that covered the application of statistical mechanics to classical and quantum systems. In his work on the subject, Tolman built heavily upon the key contributions of Ludwig Boltzmann, J. Willard Gibbs, Paul and Tatyana Ehrenfest.

Tolman took an interest in general relativity. He researched the application of thermodynamics to relativistic systems and cosmology. He established a number of theoretical results important in the study of an expanding universe. In his 1934 monograph titled Relativity, Thermodynamics, and Cosmology, Tolman demonstrated how black body radiation in an expanding universe cools but remains thermal – a key pointer toward the properties of the cosmic microwave background. Also in this monograph, Tolman was the first person to document and explain how a closed universe could equal zero energy. He explained how all mass energy is positive and all gravitational energy is negative and they cancel each other out, leading to a universe of zero energy. His investigation of the oscillatory universe hypothesis, which Alexander Friedmann had proposed in 1922, drew attention to difficulties as regards entropy and resulted in its demise until the late 1960s. Tolman interpreted astronomical observations in terms of the new cosmology in collaboration with Edwin Hubble.

During the 1930s, Tolman obtained solutions to the Einstein field equations describing the static spherically symmetric perfect fluid. J. Robert Oppenheimer, Robert Serber, and George Volkoff, built upon this work in their investigation the stability of neutron stars, obtaining the Tolman-Oppenheimer-Volkoff limit.

During World War II, Tolman served as scientific advisor to General Leslie Groves on the Manhattan Project. At the time of his death in Pasadena, he was chief advisor to Bernard Baruch, the U.S. representative to the United Nations Atomic Energy Commission.

He resumed civilian life in 1947 and published some papers on the thermodynamics of surface phases. He died on September 5, 1948, three weeks after suffering a cerebral hemorrhage without warning.

Each year, the southern California section of the American Chemical Society honors Tolman by awarding its Tolman Medal "in recognition of outstanding contributions to chemistry."

Family

Tolman's brother was the behavioral psychologist Edward Chace Tolman. He married psychologist Ruth Sherman Tolman in 1924.

See also

• List of textbooks in thermodynamics and statistical mechanics
• Tolman length
• Tolman surface brightness test
• Tolman's paradox
• Tolman's H theorem
• Tolman–Ehrenfest effect
• Tolman–Oppenheimer–Volkoff equation
• Lemaître–Tolman metric
• Lewis–Tolman paradox
• Stewart–Tolman effect
• Oscillatory universe
• Thin Man (nuclear bomb)

References

1. Gale, George (2014), "Tolman, Richard Chace", Biographical Encyclopedia of Astronomers, New York, NY: Springer New York, pp. 2164–2165, Bibcode:2014bea..book.2164G, doi:10.1007/978-1-4419-9917-7_1388, ISBN 978-1-4419-9916-0
2. ^ Kirkwood, John A.; Wulf, Oliver R.; Epstein, P. S. (1952). "Richard Chace Tolman" (PDF). Biographical Memoir. National Academy of Sciences (NAS): 139–153.
3. Richard C. Tolman at the Mathematics Genealogy Project
4. Tolman, R. C. (1912). "Non-Newtonian Mechanics, The Mass of a Moving Body". Philosophical Magazine. 23 (135): 375–381. doi:10.1080/14786440308637231.
5. Tolman, R. C.; Stewart, T. D. (1916). "The electromotive force produced by the acceleration of metals". Physical Review. 8 (2): 97–116. Bibcode:1916PhRv....8...97T. doi:10.1103/PhysRev.8.97. hdl:2027/uc1.c3529756. PMC 1090978. PMID 16576140.
6. "The Technical Alliance Profiles". Archived from the original on 2012-12-21. Retrieved 2013-03-16. Retrieved March-16-13
7. Anderson, Larry (2002). Benton MacKaye: Conservationist, planner, and creator of the Appalachian Trail. JHU Press. p. 136. ISBN 9780801869020. Retrieved 12 July 2013.
8. Anderson, Larry (2002). Benton MacKaye: Conservationist, planner, and creator of the Appalachian Trail. JHU Press. p. 48. ISBN 9780226465838. Retrieved 13 July 2013.
9. "Book of Members, 1780-2010: Chapter T" (PDF). American Academy of Arts and Sciences. Retrieved 20 April 2011.
10. "Richard C. Tolman". National Academy of Science of the United States (NAS). Retrieved June 28, 2023.
11. Bartky, W. (1927). "Review: Statistical Mechanics with Applications to Physics and Chemistry by Richard C. Tolman". Astrophysical Journal. 66: 143–144. Bibcode:1927ApJ....66..143B. doi:10.1086/143076.
12. "APS Member History". search.amphilsoc.org. Retrieved 2023-06-28.
13. Sterne, Theodore E. (1941). "Review: The Principles of Statistical Mechanics by Richard C. Tolman". Astrophysical Journal. 93: 513. Bibcode:1941ApJ....93..513.. doi:10.1086/144301.
14. Infeld, L. (July 1939). "Review: The Principles of Statistical Mechanics by Richard C. Tolman". Philosophy of Science. 6 (3): 381. doi:10.1086/286579.
15. Chant, C. A. (1934). "Review: Relativity, Thermodynamics, and Cosmology by Richard C. Tolman". Journal of the Royal Astronomical Society of Canada. 28: 324–325. Bibcode:1934JRASC..28Q.324C.
16. ^ Reynosa, Peter (2016-03-16). "Why Isn't Edward P. Tryon A World-famous Physicist?". Huffington Post. Retrieved March 22, 2016. (See Edward Tryon.)
17. Tolman, R. C. (1934). "Effect of Inhomogeneity on Cosmological Models" (PDF). Proceedings of the National Academy of Sciences. 20 (3): 169–176. Bibcode:1934PNAS...20..169T. doi:10.1073/pnas.20.3.169. PMC 1076370. PMID 16587869.
18. Tolman, Richard C. (1939). "Static Solutions of Einstein's Field Equations for Spheres of Fluid". Physical Review. 55 (364): 364–373. Bibcode:1939PhRv...55..364T. doi:10.1103/PhysRev.55.364.
19. Oppenheimer, J.R.; Serber, Robert (1938). "On the Stability of Stellar Neutron Cores". Physical Review. 54 (7): 540. Bibcode:1938PhRv...54..540O. doi:10.1103/PhysRev.54.540.
20. Oppenheimer, J.R.; Volkoff, G.M. (1939). "On Massive Neutron Cores" (PDF). Physical Review. 55 (4): 374–381. Bibcode:1939PhRv...55..374O. doi:10.1103/PhysRev.55.374. Archived (PDF) from the original on January 16, 2014. Retrieved January 15, 2014.

Books by Tolman

• Statistical mechanics with applications to physics and chemistry. New York: The Chemical Catalog Company. 1927.
• Relativity, Thermodynamics, and Cosmology. Oxford: Clarendon Press. 1934. LCCN 34032023. Reissued (1987) New York: Dover ISBN 0-486-65383-8.
• The Principles of Statistical Mechanics. Oxford: Clarendon Press. 1938. ISBN 9780486638966. Reissued (1979) New York: Dover ISBN 0-486-63896-0. Tolman, Richard Chace (January 1987). 1987 Dover reprint. Courier Corporation. ISBN 9780486653839.

• Relativity, Thermodynamics and Cosmology (1934)
• Table of contents to Relativity, Thermodynamics and Cosmology (1934)
• Introduction to Relativity, Thermodynamics and Cosmology (1934)

External links

• Short biography from the Online Archive of California
• Short biography from the "Tolman Award" page of the Southern California Section of the American Chemical Society.
• Works by Richard C. Tolman at Project Gutenberg
• Works by or about Richard C. Tolman at the Internet Archive
• Biographical memoir, National Academy of Sciences. Includes a complete bibliography of Tolman's writings. Retrieved October 4, 2024.

• 1881 births
• 1948 deaths
• 20th-century American physicists
• California Institute of Technology faculty
• American cosmologists
• Fellows of the American Academy of Arts and Sciences
• Manhattan Project people
• MIT School of Engineering alumni
• Scientists from Newton, Massachusetts
• American relativity theorists
• American physical chemists
• 20th-century American chemists
• Members of the American Philosophical Society