Ernst Chladni

"Chladni" redirects here. For the lunar crater, see Chladni (crater).

Ernst Florens Friedrich Chladni (UK: /ˈklædni/, US: /ˈklɑːdni/, German: [ɛʁnst ˈfloːʁɛns ˈfʁiːdʁɪç ˈkladniː]; 30 November 1756 – 3 April 1827) was a German physicist and musician. His most important work, for which he is sometimes labeled as the father of acoustics, included research on vibrating plates and the calculation of the speed of sound for different gases.^[1] He also undertook pioneering work in the study of meteorites and is regarded by some as the father of meteoritics.^[2]

Ernst Chladni
Born	30 November 1756 (1756-11-30) Wittenberg, Saxony
Died	3 April 1827 (1827-04-04) (aged 70) Breslau, Prussia, German Confederation
Nationality	German
Known for	Study of acoustics Chladni plates and figures Estimating the speed of sound Chladni's law Theory of meteorites' origins
Scientific career
Fields	Physics
Institutions	University of Erlangen, University of Leipzig
Doctoral advisor	Georg Christoph Lichtenberg
Doctoral students	Ernst Heinrich Weber

Early life

Although Chladni was born in Wittenberg in Saxony, his family originated from Kremnica, then part of the Kingdom of Hungary and today a mining town in central Slovakia. Chladni has therefore been identified as German,^[3][4] Hungarian^[5] and Slovak.^[6]

 

Martin Chladni, Ernst Chladni's grandfather

 

Title page of a 1787 copy of "Entdeckungen über die Theorie des Klanges"

Chladni came from an educated family of academics and learned men. Chladni's great-grandfather, the Lutheran clergyman Georg Chladni (1637–1692), had left Kremnica in 1673 during the Counter Reformation. Chladni's grandfather, Martin Chladni (1669–1725), was also a Lutheran theologian and, in 1710, became professor of theology at the University of Wittenberg. He was dean of the theology faculty in 1720–1721 and later became the university's rector. Chladni's uncle, Justus Georg Chladni (1701–1765), was a law professor at the university.^{[citation needed]} Another uncle, Johann Martin Chladni (1710–1759), was a theologian, a historian and a professor at the University of Erlangen and the University of Leipzig.

 

Chladni's method of creating Chladni figures

Chladni's father, Ernst Martin Chladni (1715–1782), was a law professor and rector of the University of Wittenberg. He had joined the law faculty there in 1746.^{[citation needed]} Chladni's mother was Johanna Sophia and he was an only child.^[7] His father disapproved of his son's interest in science and insisted that Chladni would become a lawyer.^[6][8][9]

Career

Chladni studied law and philosophy in Wittenberg and Leipzig, obtaining a law degree from the University of Leipzig in 1782. That same year, his father died and he turned to physics in earnest.^[8][9] He gave lectures on law, mathematics, and natural sciences at the University of Wittenberg from 1783 to 1792. During this time, he began his first experiments with acoustics.^[6]

Chladni figures

 

Chladni patterns of a guitar backplate

 

Chladni figure on a rectangular plate supported in center

 

Another mode of the same plate

One of Chladni's best-known achievements was inventing a technique to show the various modes of vibration on a rigid surface, known as Chladni figures or Chladni patterns due to the various shapes or patterns created by various modes. When resonating, a plate or membrane is divided into regions that vibrate in opposite directions, bounded by lines where no vibration occurs (nodal lines). Chladni repeated the pioneering experiments of Robert Hooke who, on 8 July, 1680, had observed the nodal patterns associated with the vibrations of glass plates. Hooke ran a violin bow along the edge of a plate covered with flour and saw the nodal patterns emerge.^{[10][8][9][11]}

Chladni's technique, first published in 1787 in his book Entdeckungen über die Theorie des Klanges ("Discoveries in the Theory of Sound"), consisted of drawing a bow over a piece of metal whose surface was lightly covered with sand. The plate was bowed until it reached resonance, when the vibration causes the sand to move and concentrate along the nodal lines where the surface is still, outlining the nodal lines. The patterns formed by these lines are what are now called Chladni figures. Similar nodal patterns can also be found by assembling microscale materials on Faraday waves.^[12]

Chladni had visited the Paris Academy in 1808 and had demonstrated the vibration patterns before an audience that included not only the leading French scientists but Napoleon himself; Napoleon set a prize for the best mathematical explanation. Sophie Germain's answer, although rejected due to flaws, was the only entry with the correct approach.^[13]

Variations of this technique are still commonly used in the design and construction of acoustic instruments such as violins, guitars, and cellos. Since the 20th century, it has become more common to place a loudspeaker driven by an electronic signal generator over or under the plate to achieve a more accurate adjustable frequency.

In quantum mechanics, Chladni figures ("nodal patterns") are known to be related to the solutions of the Schrödinger equation for one-electron atoms, and the mathematics describing them was used by Erwin Schrödinger to arrive at the understanding of electron orbitals.^[14]

Chladni figures

 

Clavicylinder

Musical instruments

Since at least 1738, a musical instrument called a Glasspiel or verrillon, created by filling beer glasses with varying amounts of water, was popular in Europe.^[15] The beer glasses were struck by wooden mallets shaped like spoons to produce "church and other solemn music".^[16] Benjamin Franklin was sufficiently impressed by a verrillon performance on a visit to London in 1757 that he created his own instrument, the glass armonica, in 1762. Franklin's armonica inspired several other instruments, including two created by Chladni. In 1791, Chladni invented the musical instrument called the euphon (not to be confused with the brass instrument euphonium), consisting of glass rods of different pitches. Chladni's euphon is the direct ancestor of the modern day musical instrument known as the Cristal Baschet.^[17] Chladni also improved on Hooke's "musical cylinder" to produce another instrument, the clavicylinder, in 1799.^[8][9][16]

Chladni travelled throughout Europe with his instruments giving demonstrations.^[6]

Bowed plaque instruments - Chladni
rectangle	rectangle	rectangle	rectangle	rectangle	rectangle
triangle	triangle	triangle	triangle	triangle	septagon
septagon	septagon	septagon	septagon	disk	septagon
septagon	septagon	triangle	triangle	pentagon	pentagon
septagram	septagram	square	square	square	square
pentagon	pentagon

Contributions to meteoritics

Chladni became interested in meteoritics following a conversation he had with Georg Christoph Lichtenberg about a fireball that Lichtenberg supposedly saw in the Gӧttingen sky in November 1791. Inspired by this report, Chladni researched reports of similar phenomena as well as reports of other falling masses across Europe and North America within the last century. Based on the uniformity among these sightings, he concluded that the phenomena of fireballs and falling masses must be genuine.^[18]

This led him to publish Über den Ursprung der von Pallas gefundenen und anderer ihr ähnlicher Eisenmassen und über einige damit in Verbindung stehende Naturerscheinungen ("On the Origin of the Iron Masses Found by Pallas and Others Similar to it, and on Some Associated Natural Phenomena") in 1794. In this book he proposed that meteorites have an extraterrestrial origin.^[19][20] He argued that this would explain the high speeds of the falling masses as well as linking the masses to the fireballs; they glow intensely bright as they enter the Earth's atmosphere. He hypothesized that these meteorites were chunks of material that had either never been consolidated in the formation of larger masses or were debris from the formation and destruction of planets.^[18] This was a controversial statement at the time,^[21] since meteorites were thought to be of volcanic origin. Additionally, his claims challenged the established belief that nothing existed beyond the Moon except for other stars and planets. Indeed, this supposed emptiness of space had fascinated Chladni as a child when he learned about the relatively large distance between Mars and Jupiter, where the Asteroid Belt is now known to exist. This observation factored into his account for the origins of meteorites.^[18]

Chladni's book was initially ridiculed by contemporary physicists, including Lichtenberg.^[22] Still, his writings sparked a curiosity that eventually led to more researchers supporting his theory. In 1795, a large stony meteorite was observed during its fall to Earth at a cottage near Wold Newton in Yorkshire, England and a piece of it, known as the Wold Cottage meteorite, was given to the British chemist Edward Howard who, along with French mineralogist Jacques de Bournon, carefully analyzed its composition and concluded that an extraterrestrial origin was likely, noting that the sample bore a strong resemblance to a sample of a meteorite from an early meteor shower in Siena, Italy.^[23] Although that event had been attributed to an eruption of Mount Vesuvius a few hundred kilometers away, no similar volcanoes exists within the same range of Wold Newton, with the closest being Hekla in Iceland.^[22][23] In 1803, the physicist and astronomer Jean Baptiste Biot was commissioned by the French Minister of the Interior to investigate a meteor shower over L'Aigle in northern France that had peppered the town with thousands of meteorite fragments.^[24][8][9] Unlike Chladni's book and the scientific publication by Howard and de Bournon, Biot's lively report became popular and persuaded more people to take Chladni's insights seriously.^[20]

Chladni's insights have led some in the field to call him the "father of meteoritics" while others have been more conservative with their appraisal of Chladni's contributions to the field.^[18]

Chladni continued to develop his record of meteorite sightings throughout the next several decades as well as amassing a collection of meteorite samples. He donated this collection to the Mineralogical Museum of Berlin University in 1827 and it now resides in the Museum of Natural History at Humboldt University of Berlin.^[25][26]

A mineral, first described in 1993 from the Carlton (IIICD) iron meteorite, was named chladniite in his honor.^[2][27]

Other work

Chladni discovered Chladni's law, a simple algebraic relation for approximating the modal frequencies of the free oscillations of plates and other bodies.^[28]

Chladni estimated sound velocities in different gases by placing those gases in an organ pipe and measuring the characteristics of the sounds that emerged when the pipe was played.^[29] This built on work on measuring the speed of sound in air that Pierre Gassendi began in 1635.^{[citation needed]}

Death

Chladni died on 3 April 1827, in Breslau, Lower Silesia, then part of the Kingdom of Prussia and today the city of Wrocław in southwestern Poland.^[30]

Bibliography

•  

  First page of a 1787 copy of "Entdeckungen über die Theorie"

  Entdeckungen über die Theorie des Klanges, Leipzig 1787.
• Die Akustik, Leipzig 1802. French translation: Traite d'acoustique, Paris 1809. Also in Neue Beiträge zur Akustik, Leipzig 1817.
• Beiträge zur praktischen Akustik und zur Lehre vom Instrumentbau, Leipzig 1821 (OCLC 457664981).
• Über den Ursprung der von Pallas gefundenen und anderer ihr ähnlicher Eisenmassen at the HathiTrust Digital Library, Leipzig/Riga 1794.
• Über Feuermeteore, Vienna 1820.
• Über die Hervorbringung der menschlichen Sprachlaute, Leipzig 1824.
• Kurze Übersicht der Schall und Klanglehre, nebst einem Anhange die Entwickelung und Anordnung der Tonverhältnisse betreffend, Mainz 1827.

See also

• Bessel functions
• Hans Jenny (cymatics)
• Alexander Lauterwasser, a photographer who uses Chladni's work when creating images of liquid surfaces
• Tritare, a guitar causing particular forms of Chladni figures
• Vibrations of a circular membrane

References

1. "Whipple Collections: Ernst Chladni". University of Cambridge. Retrieved 27 February 2010.
2. McCoy, T. J.; Steele, I. M.; Keil, K.; Leonard, B. F.; Endress, M. (1993). "Chladniite: A New Mineral Honoring the Father of Meteoritics". Meteoritics. 28 (3): 394. Bibcode:1993Metic..28Q.394M.
3. "Ernst Florens Friedrich Chladni, or Ernst F. F. Chladni (German physicist)", Encyclopædia Britannica: Related Articles
4. Ernst Florens Friedrich Chladni, German physicist, 1802 Image Preview, Science and Society Picture Library
5. McLaughlin, Joyce (1998). . American Scientist. 86 (4): 342. Bibcode:1998AmSci..86..342M. doi:10.1511/1998.4.342. Archived from the original on 23 January 2008. Retrieved 2 November 2007.
6. "Life and work of E.F.F. Chladni", D. Ullmann1, The European Physical Journal – Special Topics, Springer, Berlin / Heidelberg, ISSN 1951-6355 (Print) ISSN 1951-6401 (Online), Issue Volume 145, Number 1, June 2007, doi:10.1140/epjst/e2007-00145-4, pp. 25–32
7. Hockey, Thomas (2009). The Biographical Encyclopedia of Astronomers. Springer Publishing. ISBN 978-0-387-31022-0. Retrieved 22 August 2012.
8. Daniel P McVeigh (2000). . An Early History of the Telephone [phone]. Archived from the original on 7 March 2013.
9. P. 101 Oxford Dictionary of Scientists – Oxford University Press – 1999
10. Hooke, Robert (1935). Robinson, Henry W.; Adams, Walter (eds.). The Diary of Robert Hooke, M.A., M.D., F.R.S., 1672–1680 …. London, England: Taylor & Francis. p. 448.
11. Galileo had observed vibrational patterns in a brass plate as early as 1638. See: Galilei, Galileo; Crew, Henry and de Salvio, Alfonso, trans. (first published in Italian 1638; 1914) Dialogues Concerning Two New Sciences New York City, New York, US: Macmillan Co. pp. 101–102. From p. 100: "As I was scraping a brass plate with a sharp iron chisel in order to remove some spots from it and was running the chisel rather rapidly over it, I once or twice, during many strokes, heard the plate emit a rather strong and clear whistling sound; on looking at the plate more carefully, I noticed a long row of fine streaks parallel and equidistant from one another."
12. P. Chen, Z. Luo, S. Guven, S. Tasoglu, A. Weng, A. V. Ganesan, U. Demirci, Advanced Materials 2014, 10.1002/adma.201402079. http://onlinelibrary.wiley.com/doi/10.1002/adma.201402079/abstract
13. "Revolutionary Mathematician". San Diego Supercomputer Center. Retrieved 16 March 2016.
14. J. Michael McBride, "Chladni Figures and One-Electron Atoms", Lecture #9, Freshman Organic Chemistry (CHEM 125) course, Open Yale Courses, Yale University, video recorded Fall 2008, accessed on YouTube, https://www.youtube.com/watch?v=5kYLE8GhAuE, 5 June 2016.
15. Schlesinger, Kathleen (1911). "Harmonica" . Encyclopædia Britannica. Vol. 12 (11th ed.). p. 956. The 1911 edition of the Encyclopædia Britannica also credits Edward Delaval with inventing the verrillon.
16. Schlesinger, Kathleen (1911). "Harmonica" . In Chisholm, Hugh (ed.). Encyclopædia Britannica. Vol. 12 (11th ed.). Cambridge University Press. p. 956.
17. "Les Sculptures Sonores: The Sound Sculptures of Bernard and Francois Baschet" by Francois Baschet, Author(s) of Review: Rahma Khazam, Leonardo, Vol. 33, No. 4 (2000), pp. 336–337
18. Marvin, Ursula B. (1996). "Ernst Florens Friedrich Chladni (1756–1827) and the origins of modern meteorite research". Meteoritics & Planetary Science. 31 (5): 545–588. Bibcode:1996M&PS...31..545M. doi:10.1111/j.1945-5100.1996.tb02031.x. ISSN 1945-5100. S2CID 210038676.
19. Chladni, Ernst Florens Friedrich, Über den Ursprung der von Pallas gefundenen und anderer ihr ähnlicher Eisenmassen und über einige damit in Verbindung stehende Naturerscheinungen [On the origin of the iron masses found by Pallas and others similar to it, and on some natural phenomena associated with them] (Riga, Latvia: Johann Friedrich Hartknoch, 1794). Available on-line at: Saxon State and University Library at Dresden, Germany.
20. McSween, Harry Y. (1999). Meteorites and Their Parent Planets (2nd ed.). Cambridge [u.a.]: Cambridge University Press. ISBN 978-0-521-58303-9.
21. Williams, Henry Smith (1904). "5". A History of Science. Vol. 3. Harper. p. 168ff. ISBN 978-0-250-40142-0.
22. Ron Cowen. “After the Fall.” Science News, vol. 148, no. 16, 1995, pp. 248–249. JSTOR, www.jstor.org/stable/4018119. Accessed 16 March 2020.
23. Howard, Edward (1802). "Experiments and Observations on certain stony and metalline Substances, which at different Times are said to have fallen on the Earth; also on various Kinds of native Iron". Philosophical Transactions of the Royal Society of London. 92: 168–212. Bibcode:1802RSPT...92..168H. doi:10.1098/rstl.1802.0009.
24. See:
    • Biot, J.-B. (1803). "Relation d'un voyage fait dans le département de l'Orne pour constater la réalité d'un météore observé à l'Aigle le 6 floréal an XI" [Account of a trip made in the department of Orne to note the reality of a meteor observed at l'Aigle on 6 Floréal year XI]. Mémoires de la Classe des Sciences Mathématiques et Physiques de l'Institut National de France (in French). 7: 224–265.
    • Reprinted as a pamphlet: Biot, J.-B. (1803). Relation d'un voyage fait dans le département de l'Orne pour constater la réalité d'un météore observé à l'Aigle le 6 floréal an XI [Account of a trip made in the department of Orne to note the reality of a meteor observed at l'Aigle on 6 Floréal year XI] (in French). Paris, France: Baudoin.
25. Chladni, E. F. F. (10 August 2009). "I. A new catalogue of meteoric stones, masses of meteoric iron, and other substances, the fall of which has been made known, down to the present time". The Philosophical Magazine. 67 (333): 3–21. doi:10.1080/14786442608674005.
26. Knöfel, A., and J. Rendtel. "Chladni and the cosmic origin of fireballs and meteorites. Two hundred years of meteor astronomy and meteorite science." WGN, Journal of the International Meteor Organization 22 (1994): 217–219.
27. McCoy, T.J.; Steele, I.M.; Keil, K.; Leonard, B.F.; Endreβ, M. (1994). "Chladniite, Na2CaMg7(PO4)6: A new mineral from the Carlton (IIICD) iron meteorite". American Mineralogist. 79: 375–380. Bibcode:1994AmMin..79..375M.
28. Kverno, Derek; Nolen, Jim. . Davidson College Physics Department. Archived from the original on 17 October 2016. Retrieved 2 April 2018.
29. Chladni, Ernst (1756–1827), Eric Weisstein's World of Scientific Biography.
30. Musielak, Dora E. (23 January 2015). Prime Mystery: The Life and Mathematics of Sophie Germain. AuthorHouse. p. 52. ISBN 9781496965011. Retrieved 1 April 2018.

Further reading

• Jackson, Myles W. (2006) Harmonious Triads: Physicists, Musicians, and Instrument Makers in Nineteenth-Century Germany (MIT Press).
• Marvin, Ursula B. (1996). "Ernst florens Friedrich Chladni (1756–1827) and the origins of modern meteorite research". Meteoritics. 31 (5): 545–588. Bibcode:1996M&PS...31..545M. doi:10.1111/j.1945-5100.1996.tb02031.x. S2CID 210038676.
• Rossing T. D. (1982) Chladni's Law for Vibrating Plates, American Journal of Physics 50, 271–274

External links

 

Wikimedia Commons has media related to Ernst Florens Friedrich Chladni.

• Short biography, bibliography, and links on digitized sources in the Virtual Laboratory of the Max Planck Institute for the History of Science
• , 1802 by Ernst Chladni at Universities of Strasbourg
• Video of Chladni patterns through frequency range on YouTube (Accessed 5/31/08)
• Simulated Chladni patterns on a rectangular plate on YouTube (Accessed 5/18/14)
• Examples with round, square, stadium plates and violin shapes
• Electromagnetically driven Chladni plate
• Use of Chladni patterns in the construction of violins
• Chladni patterns for guitar plates
• An explanation on how to construct a Chladni plate for the classroom
• Other pictures of Chladni can be viewed at and at the Science and Society Picture Library.
• Bowley, Roger (2009). "Chladni's Plate". Sixty Symbols. Brady Haran for the University of Nottingham.
• Ernst Chladni at Monoskop.org