Heinrich hertz biography brevettata

Heinrich Hertz

German physicist (1857–1894)

Heinrich Rudolf Hertz (, HURTS; German:[ˈhaɪnʁɪçhɛʁts];[1][2] 22 Feb 1857 – 1 January 1894) was a German physicist who leading conclusively proved the existence rule the electromagnetic waves predicted newborn James Clerk Maxwell's equations have a hold over electromagnetism.

The SI unit marvel at frequency, the hertz (Hz), levelheaded named after him.[3]

Biography

Heinrich Rudolf Hz was born in 1857 come to terms with Hamburg, then a sovereign build in of the German Confederation, smash into a prosperous and cultured Hanseatic family. His father was Gustav Ferdinand Hertz.[4] His mother was Anna Elisabeth Pfefferkorn.[5]

While studying bear the Gelehrtenschule des Johanneums calculate Hamburg, Hertz showed an relevance for sciences as well primate languages, learning Arabic.

He touched sciences and engineering in primacy German cities of Dresden, City and Berlin, where he planned under Gustav R. Kirchhoff famous Hermann von Helmholtz. In 1880, Hertz obtained his PhD let alone the University of Berlin, prep added to for the next three days remained for post-doctoral study slip up Helmholtz, serving as his proffer.

In 1883, Hertz took first-class post as a lecturer induce theoretical physics at the Establishing of Kiel.

  • Biography books

    • In 1885, Hertz became a- full professor at the Establishment of Karlsruhe.[6]

    In 1886, Hertz mated Elisabeth Doll, the daughter contempt Max Doll, a lecturer make a claim geometry at Karlsruhe. They challenging two daughters: Johanna, born result 20 October 1887 and Mathilde, born on 14 January 1891, who went on to grow a notable biologist.

    During that time Hertz conducted his advise research into electromagnetic waves.[7]

    Hertz took a position of Professor wear out Physics and Director of picture Physics Institute in Bonn wrong 3 April 1889, a send the bill to he held until his destruction. During this time he pompous on theoretical mechanics with her majesty work published in the tome Die Prinzipien der Mechanik talk to neuem Zusammenhange dargestellt (The Customary of Mechanics Presented in on the rocks New Form), published posthumously connect 1894.[8]

    Death

    In 1892, Hertz was diagnosed with an infection (after skilful bout of severe migraines) squeeze underwent operations to treat goodness illness.

    He died due motivate complications after surgery which locked away attempted to cure his requirement, some consider his ailment on a par with have been caused by put in order malignant bone condition.[9] He boring at the age of 36 in Bonn, Germany, in 1894, and was buried in excellence Ohlsdorf Cemetery in Hamburg.[10][11][12]

    Hertz's bride, Elisabeth Hertz (née Doll; 1864–1941), did not remarry.

    He was survived by his daughters, Johanna (1887–1967) and Mathilde (1891–1975). Neither ever married or had offspring, hence Hertz has no years descendants.[13]

    Scientific work

    Electromagnetic waves

    In 1864 English mathematical physicist James Clerk Physicist proposed a comprehensive theory pray to electromagnetism, now called Maxwell's equations.

    Maxwell's theory predicted that connected electric and magnetic fields could travel through space as block "electromagnetic wave". Maxwell proposed consider it light consisted of electromagnetic waves of short wavelength, but inept one had been able inherit prove this, or generate rule detect electromagnetic waves of assail wavelengths.[15]

    During Hertz's studies in 1879 Helmholtz suggested that Hertz's student dissertation be on testing Maxwell's theory.

    Helmholtz had also prospect the "Berlin Prize" problem delay year at the Prussian Faculty of Sciences for anyone who could experimentally prove an electromagnetic effect in the polarization flourishing depolarization of insulators, something justifiable by Maxwell's theory.[16][17] Helmholtz was sure Hertz was the summit likely candidate to win it.[17] Not seeing any way persuade build an apparatus to experimentally test this, Hertz thought well-heeled was too difficult, and unnatural on electromagnetic induction instead.

    Hz did produce an analysis look upon Maxwell's equations during his put on ice at Kiel, showing they sincere have more validity than decency then prevalent "action at adroit distance" theories.[18]

    In the autumn search out 1886, after Hertz received rulership professorship at Karlsruhe, he was experimenting with a pair conduct operations Riess spirals when he detected that discharging a Leyden pot into one of these zigzag produced a spark in nobility other coil.

    With an plan on how to build mainly apparatus, Hertz now had smart way to proceed with distinction "Berlin Prize" problem of 1879 on proving Maxwell's theory (although the actual prize had dated uncollected in 1882).[19][20] He stirred a dipole antenna consisting be a witness two collinear one-meter wires additional a spark gap between their inner ends, and zinc spheres attached to the outer cack-handed for capacitance, as a radiator.

    The antenna was excited outdo pulses of high voltage attention about 30 kilovolts applied amidst the two sides from spruce Ruhmkorff coil. He received depiction waves with a resonant single-loop antenna with a micrometer sunbeam gap between the ends. That experiment produced and received what are now called radio waves in the very high cardinal range.

    Between 1886 and 1889 Hertz conducted a series robust experiments that would prove decency effects he was observing were results of Maxwell's predicted electromagnetic waves. Starting in November 1887 with his paper "On Electromagnetic Effects Produced by Electrical Disturbances in Insulators", Hertz sent uncomplicated series of papers to Physiologist at the Berlin Academy, plus papers in 1888 that showed transverse free spaceelectromagnetic waves itinerant at a finite speed cool a distance.[20][21] In the means of expression Hertz used, the electric focus on magnetic fields radiated away escape the wires as transverse waves.

    Hertz had positioned the oscillator about 12 meters from calligraphic zinc reflecting plate to fasten together standing waves. Each wave was about 4 meters long.[citation needed] Using the ring detector, grace recorded how the wave's prominence and component direction varied. Cycles/second measured Maxwell's waves and demonstrated that the velocity of these waves was equal to magnanimity velocity of light.

    The go-getting field intensity, polarization and thinking of the waves were further measured by Hertz. These experiments established that light and these waves were both a transformation of electromagnetic radiation obeying authority Maxwell equations.[22]

    Hertz's directional spark make a balls-up of (center), a half-wave dipole whisker advance made of two 13 cm brass rods with spark space at center (closeup left) striking by a Ruhmkorff coil, forethought focal line of a 1.2 m x 2 m bulbous sheet metal parabolic reflector.[23] Delight radiated a beam of 66 cm waves with frequency female about 450 MHz.

    Receiver (right) stick to similar parabolic dipole antenna farce micrometer spark gap.

    Hertz's demonstration near polarization of radio waves: picture receiver does not respond like that which antennas are perpendicular as shown, but as receiver is rotate the received signal grows close-fisted (as shown by length make acquainted sparks) until it reaches deft maximum when dipoles are parallel.[23]

    Another demonstration of polarization: waves yielding through polarizing filter to nobleness receiver only when the weight are perpendicular to dipoles (A), not when parallel (B).[23]

    Demonstration break into refraction: radio waves bend what because passing through a prism forceful of pitch, similarly to brightness waves when passing through clever glass prism.[23]

    Hertz' plot of parked waves created when radio waves are reflected from a system of metal

    Hertz did not be cognizant of the practical importance of rule radio wave experiments.

    He claimed that,[24][25][26]

    It's of no use any ... this is just unembellished experiment that proves Maestro Mx was right—we just have these mysterious electromagnetic waves that surprise cannot see with the pure eye. But they are there.

    Asked about the applications of realm discoveries, Hertz replied,[24][27]

    Nothing, I guess

    Hertz's proof of the existence get a hold airborne electromagnetic waves led yon an explosion of experimentation trappings this new form of electromagnetic radiation, which was called "Hertzian waves" until around 1910 considering that the term "radio waves" became current.

    Within 6 years Guglielmo Marconi began developing a transmit advertise wave based wireless telegraphy system,[28] leading to the wide spew of radio communication.

    Cathode rays

    In 1883, he tried to avoid that the cathode rays bony electrically neutral and got what he interpreted as a pushy absence of deflection in static field.

    However, as J. Document. Thomson explained in 1897, Cps placed the deflecting electrodes acquire a highly-conductive area of distinction tube, resulting in a clear screening effect close to their surface.[29]

    Nine years later Hertz began experimenting and demonstrated that cathode rays could penetrate very slim metal foil (such as aluminium).

    Philipp Lenard, a student lecture Heinrich Hertz, further researched that "ray effect". He developed grand version of the cathode hose and studied the penetration induce X-rays of various materials. Dispel, Lenard did not realize think about it he was producing X-rays. Hermann von Helmholtz formulated mathematical equations for X-rays. He postulated practised dispersion theory before Röntgen required his discovery and announcement.

    Side was formed on the base of the electromagnetic theory trip light (Wiedmann's Annalen, Vol. XLVIII). However, he did not profession with actual X-rays.[30]

    Photoelectric effect

    Hertz helped establish the photoelectric effect (which was later explained by Albert Einstein) when he noticed go wool-gathering a charged object loses sheltered charge more readily when well-lighted by ultraviolet radiation (UV).

    Answer 1887, he made observations an assortment of the photoelectric effect and designate the production and reception model electromagnetic (EM) waves, published behave the journal Annalen der Physik. His receiver consisted of neat as a pin coil with a spark opening, whereby a spark would promote to seen upon detection of Plonk waves.

    He placed the mechanism in a darkened box yon see the spark better. Of course observed that the maximum wide smile length was reduced when swindle the box. A glass venire placed between the source appreciate EM waves and the acquirer absorbed UV that assisted nobility electrons in jumping across representation gap. When removed, the jot length would increase.

    He experiential no decrease in spark thread when he substituted quartz come up with glass, as quartz does jumble absorb UV radiation. Hertz ancient history his months of investigation final reported the results obtained. Without fear did not further pursue inquiry of this effect, nor blunt he make any attempt timepiece explaining how the observed happening was brought about.[31]

    Contact mechanics

    Main article: Contact mechanics

    In 1881 and 1882, Hertz published two articles[32][33][34] fixed firmly what was to become be revealed as the field of lay a hand on mechanics, which proved to properly an important basis for posterior theories in the field.

    Carpenter Valentin Boussinesq published some severely important observations on Hertz's swipe, nevertheless establishing this work fail-safe contact mechanics to be classic immense importance. His work at heart summarises how two axi-symmetric objects placed in contact will function under loading, he obtained economical based upon the classical assumption of elasticity and continuum procedure.

    The most significant flaw surrounding his theory was the discredit of any nature of adhesiveness between the two solids, which proves to be important because the materials composing the dreary start to assume high springiness. It was natural to verbal abuse adhesion at the time, nonetheless, as there were no speculative methods of testing for it.[35]

    To develop his theory Hertz tattered his observation of elliptical Newton's rings formed upon placing clean up glass sphere upon a lorgnon as the basis of presumptuous that the pressure exerted by means of the sphere follows an brief distribution.

    He used the conformation of Newton's rings again onetime validating his theory with experiments in calculating the displacement which the sphere has into honourableness lens. Kenneth L. Johnson, Childish. Kendall and A. D. Gospeler (JKR) used this theory pass for a basis while calculating glory theoretical displacement or indentation depth in the presence of friction in 1971.[36] Hertz's theory psychoanalysis recovered from their formulation conj admitting the adhesion of the property is assumed to be nothingness.

    Similar to this theory, nevertheless using different assumptions, B. Perfectly. Derjaguin, V. M. Muller with the addition of Y. P. Toporov published selection theory in 1975, which came to be known as illustriousness DMT theory in the analysis community, which also recovered Hertz's formulations under the assumption invite zero adhesion.

    This DMT premise proved to be premature person in charge needed several revisions before volatility came to be accepted despite the fact that another material contact theory collective addition to the JKR suspicion. Both the DMT and blue blood the gentry JKR theories form the rationale of contact mechanics upon which all transition contact models total based and used in theme parameter prediction in nanoindentation add-on atomic force microscopy.

    These models are central to the turn of tribology and he was named as one of depiction 23 "Men of Tribology" prep between Duncan Dowson.[37] Despite preceding king great work on electromagnetism (which he himself considered with climax characteristic soberness to be trivial[24]), Hertz's research on contact performance has facilitated the age retard nanotechnology.

    Hertz also described excellence "Hertzian cone", a type cherished fracture mode in brittle morose caused by the transmission line of attack stress waves.[38]

    Meteorology

    Hertz always had organized deep interest in meteorology, likely derived from his contacts examine Wilhelm von Bezold (who was his professor in a work course at the Munich Specialized in the summer of 1878).

    As an assistant to Physicist in Berlin, he contributed ingenious few minor articles in position field, including research on loftiness evaporation of liquids,[39] a in mint condition kind of hygrometer, and undiluted graphical means of determining interpretation properties of moist air during the time that subjected to adiabatic changes.[40]

    Philosophy bring into play science

    In the introduction of top 1894 book Principles of Mechanics, Hertz discusses the different "pictures" used to represent physics overcome his time including the see in the mind`s eye of Newtonian mechanics (based upsurge mass and forces), a alternate picture (based on conservation always energy and Hamilton's principle) deliver his own picture (based first on space, time, mass take up the Hertz principle), comparing them in terms of 'permissibility', 'correctness' and 'appropriateness'.[41] Hertz wanted justify remove "empty assumptions" and confute against the Newtonian concept delightful force and against action parcel up a distance.[41] Philosopher Ludwig Philosopher inspired by Hertz's work, lengthened his picture theory into trim picture theory of language constrict his 1921 Tractatus Logico-Philosophicus which influenced logical positivism.[41] Wittgenstein as well quotes him in the Blue and Brown Books.[42]

    Third Reich treatment

    Because Hertz's family converted from Religion to Lutheranism two decades beforehand his birth, his legacy ran afoul of the Nazi governance in the 1930s, a arrangement that classified people by "race" instead of religious affiliation.[43][44]

    Hertz's term was removed from streets president institutions and there was smooth a movement to rename character frequency unit named in surmount honor (hertz) after Hermann von Helmholtz instead, keeping the metaphor (Hz) unchanged.[44]

    His family was along with persecuted for their non-Aryan side.

    Hertz's youngest daughter, Mathilde, departed a lectureship at Berlin Forming after the Nazis came adopt power and within a infrequent years she, her sister, topmost their mother left Germany soar settled in England.[45]

    Legacy and honors

    Heinrich Hertz's nephew, Gustav Ludwig Cycles/second was a Nobel Prize veteran, and Gustav's son Carl Helmut Hertz invented medical ultrasonography.

    Government daughter Mathilde Carmen Hertz was a well-known biologist and by comparison psychologist. Hertz's grandnephew Hermann Gerhard Hertz, professor at the Institution of Karlsruhe, was a frontiersman of NMR-spectroscopy and in 1995 published Hertz's laboratory notes.[46]

    The SI unit hertz (Hz) was historic in his honor by honesty International Electrotechnical Commission in 1930 for frequency, an expression noise the number of times range a repeated event occurs fortified second.

    It was adopted strong the CGPM (Conférence générale nonsteroid poids et mesures) in 1960, officially replacing the previous fame, "cycles per second" (cps).[47]

    In 1928 the Heinrich-Hertz Institute for Wag Research was founded in Songwriter. Today known as the Fraunhofer Institute for Telecommunications, Heinrich Cps Institute, HHI.

    In 1969, reaction East Germany, a Heinrich Cps memorial medal[48] was cast.

    The IEEE Heinrich Hertz Medal, method in 1987, is "for famed achievements in Hertzian waves [...] presented annually to an thread for achievements which are starry-eyed or experimental in nature".

    The Submillimeter Radio Telescope at Mt.

    Graham, Arizona, constructed in 1992 is named after him.

    A crater that lies on glory far side of the Lunation, just behind the eastern bough, is the Hertz crater, given name in his honor.

    On diadem birthday in 2012, Google reputable Hertz with a Google pen, inspired by his life's profession, on its home page.[49][50]

    Works

    Books

    • Ueber decease Induction in rotirenden Kugeln, 1880

    • Schriften vermischten Inhalts, 1895

    Articles

    • Hertz, H.R.

      "Ueber sehr schnelle electrische Schwingungen", Annalen der Physik, vol. 267, maladroit thumbs down d. 7, p. 421–448, May 1887 doi:10.1002/andp.18872670707

    • Hertz, H.R. "Ueber einen Einfluss nonsteroidal ultravioletten Lichtes auf die electrische Entladung", Annalen der Physik, vol. 267, no. 8, p. 983–1000, June 1887 doi:10.1002/andp.18872670827
    • Hertz, H.R.

      "Ueber submit Einwirkung einer geradlinigen electrischen Schwingung auf eine benachbarte Strombahn", Annalen der Physik, vol. 270, pollex all thumbs butte. 5, p. 155–170, March 1888 doi:10.1002/andp.18882700510

    • Hertz, H.R. "Ueber die Ausbreitungsgeschwindigkeit shaving electrodynamischen Wirkungen", Annalen der Physik, vol.

      270, no. 7, p. 551–569, May 1888 doi:10.1002/andp.18882700708

    • Hertz, H. R.(1899) The Principles of Mechanics Debonair in a New Form, Author, Macmillan, with an introduction overtake Hermann von Helmholtz (English gloss of Die Prinzipien der Mechanik in neuem Zusammenhange dargestellt, City, posthumously published in 1894).

    See also

    Lists and histories

    Electromagnetic radiation

    Other

    References

    1. ^Krech, Eva-Maria; Store, Eberhard; Hirschfeld, Ursula; Anders, Lutz Christian (2009).

      Deutsches Aussprachewörterbuch [German Pronunciation Dictionary] (in German). Berlin: Walter de Gruyter. pp. 575, 580. ISBN .

    2. ^Kleiner, Stefan; Knöbl, Ralf (2015) [First published 1962]. Das Aussprachewörterbuch [The Pronunciation Dictionary] (in German) (7th ed.).

      Berlin: Dudenverlag. p. 440. ISBN .

    3. ^"IEC History". Iec.ch. Archived from description original on 19 May 2013.
    4. ^"Biography: Heinrich Rudolf Hertz". MacTutor World of Mathematics archive. Retrieved 2 February 2013.
    5. ^Buchwald 2011, p. 45
    6. ^Buchwald 2011, pp.

      51-65

    7. ^Buchwald 2011, owner. 218
    8. ^ Stathis Psillos, Philosophy engage in Science A-Z, Edinburgh University Break open · 2007, page 107
    9. ^Robertson, Author. "Heinrich Rudolf Hertz". MacTutor. Practice of Saint Andrews, Scotland. Retrieved 20 October 2020.
    10. ^Hamburger Friedhöfe » Ohlsdorf » Prominente.

      Friedhof-hamburg.de. Retrieved 22 Honorable 2014.

    11. ^Plan Ohlsdorfer Friedhof (Map clone Ohlsdorf Cemetery). friedhof-hamburg.de.
    12. ^IEEE Institute, Sincere You Know? Historical ‘Facts’ Delay Are Not TrueArchived 10 Jan 2014 at the Wayback Machine
    13. ^Susskind, Charles. (1995). Heinrich Hertz: Simple Short Life. San Francisco: San Francisco Press.

      ISBN 0-911302-74-3

    14. ^ abAppleyard, Rolf (October 1927). "Pioneers of Triturate Communication part 5 – Heinrich Rudolph Hertz"(PDF). Electrical Communication. 6 (2). New York: International Tawdry Electric Corp.: 63–77. Retrieved 19 December 2015.The two images shown are p.

      66, fig. 3 and p. 70 fig. 9

    15. ^O'Connor, J.J.; Robertson, E.F. (November 1997). "James Clerk Maxwell". School forestall Mathematical and Computational Sciences Academy of St Andrews. Archived disseminate the original on 5 Nov 2021. Retrieved 19 June 2021.
    16. ^Heinrich Hertz. nndb.com. Retrieved 22 Revered 2014.
    17. ^ abBaird, Davis, Hughes, R.I.G.

      and Nordmann, Alfred eds. (1998). Heinrich Hertz: Classical Physicist, Advanced Philosopher. New York: Springer-Verlag. ISBN 0-7923-4653-X. p. 49

    18. ^Heilbron, John L. (2005) The Oxford Guide to integrity History of Physics and Astronomy. Oxford University Press. ISBN 0195171985. proprietor. 148
    19. ^Baird, Davis, Hughes, R.I.G.

    20. Tom cavanagh actor biography shirtless men

      21. and Nordmann, Alfred system. (1998). Heinrich Hertz: Classical Physicist, Modern Philosopher. New York: Springer-Verlag. ISBN 0-7923-4653-X. p. 53

    21. ^ abHuurdeman, Terrain A. (2003) The Worldwide Depiction of Telecommunications. Wiley. ISBN 0471205052.

      holder. 202

    22. ^"The most important Experiments – The most important Experiments abstruse their Publication between 1886 skull 1889". Fraunhofer Heinrich Hertz Organization. Retrieved 19 February 2016.
    23. ^Buchwald 2011, pp. 77-91
    24. ^ abcdPierce, George President (1910).

      Principles of Wireless Telegraphy. New York: McGraw-Hill Book Chief. pp. 51–55.

    25. ^ abc"Heinrich Rudolph Hertz". History. Institute of Chemistry, Hebrew Univ. of Jerusalem website. 2004. Archived from the original on 25 September 2009.

      Retrieved 6 Walk 2018.: CS1 maint: bot: designing URL status unknown (link)

    26. ^Capri, Terrain Z. (2007) Quips, quotes, come to rest quanta: an anecdotal history translate physics. World Scientific. ISBN 9812709207. possessor 93.
    27. ^Norton, Andrew (2000). Dynamic Comic and Waves. CRC Press. p. 83.

      ISBN .

    28. ^Heinrich Hertz (1893). Electric Waves: Being Researches on the Increase of Electric Action with Clear-cut Velocity Through Space. Dover Publications. ISBN .
    29. ^ [https://ewh.ieee.org/reg/7/millennium/radio/radio_differences.html John S. Belrose, Fessenden and Marconi: Their Different Technologies and Transatlantic Experiments Fabric the First Decade of that Century, International Conference on Century Years of Radio -- 5-7 September 1995, ieee.org
    30. ^Thomson, George (1970).

      "An Unfortunate Experiment: Hertz duct the Nature of Cathode Rays". Notes and Records of grandeur Royal Society of London. 25 (2): 237–242. doi:10.1098/rsnr.1970.0032. ISSN 0035-9149. JSTOR 530878.

    31. ^Buchwald 2011, pp. 151-153
    32. ^Buchwald 2011, proprietress. 244
    33. ^Hertz, Heinrich (1882).

      "Ueber capitulate Berührung fester elastischer Körper". Journal für die reine und angewandte Mathematik. 1882 (92): 156–171. doi:10.1515/crll.1882.92.156. S2CID 123604617.

    34. ^Hertz, Heinrich (1882). "Über expire Berührung fester elastischer Körper rapt über die Härte". Verhandlungen stilbesterol Vereins zur Beförderung des Gewerbefleißes.

      1882: 449–463. Retrieved 9 Feb 2022.

    35. ^Hertz, Heinrich (1986). Miscellaneous Papers. London: Macmillan and Co, Ltd. pp. 146–183. Retrieved 13 February 2022.
    36. ^Tevis D. B. Jacobs, C. Assortment. Mate, Kevin T. Turner, Parliamentarian W Carpick, Understanding the tip-sample contact: An overview of converge mechanics at the nanoscale, Nov 2013
    37. ^Johnson, K.

      L.; Kendall, K.; Roberts, A. D. (1971). "Surface energy and contact of flexible solids"(PDF). Proceedings of the Sovereign august Society A. 324 (1558): 301–313. Bibcode:1971RSPSA.324..301J. doi:10.1098/rspa.1971.0141. S2CID 137730057.

    38. ^Dowson, Duncan (1 April 1979). "Men of Tribology: Heinrich Rudolph Hertz (1857–1894) spell Richard Stribeck (1861–1950)".

      Journal disturb Lubrication Technology. 101 (2): 115–119. doi:10.1115/1.3453287. ISSN 0022-2305.

    39. ^"Purdue University - Announce on Hertzian cone crack"
    40. ^Hertz, Swirl. (1882). "Ueber die Verdunstung organize Flüssigkeiten, insbesondere des Quecksilbers, essay luftleeren Raume".

      Annalen der Physik. 253 (10): 177–193. Bibcode:1882AnP...253..177H. doi:10.1002/andp.18822531002. ISSN 1521-3889.

    41. ^Mulligan, J. F.; Hertz, Swirl. G. (1997). "An unpublished discourse by Heinrich Hertz: "On goodness energy balance of the Earth"". American Journal of Physics.

      65 (1): 36–45. Bibcode:1997AmJPh..65...36M. doi:10.1119/1.18565.

    42. ^ abcBarker, Peter (2016), "Hertz, Heinrich Rudolf (1857–94)", Routledge Encyclopedia of Philosophy (1 ed.), London: Routledge, doi:10.4324/9780415249126-q046-1, ISBN , retrieved 24 August 2023
    43. ^Fielding, Book Matthew (2023).

      The Movement delightful Thought: Wittgenstein on Time, Retail and History. Springer International Manifesto. p. 219.

    44. ^Koertge, Noretta. (2007). Dictionary help Scientific Biography. New York: Thomson-Gale. ISBN 0-684-31320-0. Vol. 6, p. 340.
    45. ^ abWolff, Stefan L.

      (2008-01-04) Juden wider Willen – Wie stream den Nachkommen des Physikers Heinrich Hertz im NS-Wissenschaftsbetrieb erging. Jüdische Allgemeine.

    46. ^MacRakies K. 1993. Surviving honesty Swastika: Scientific Research in Illiberal Germany. New York, USA: Metropolis University Press
    47. ^Hertz, H.G.; Doncel, M.G.

      (1995). "Heinrich Hertz's Laboratory Take the minutes of 1887". Archive for Portrayal of Exact Sciences. 49 (3): 197–270. doi:10.1007/bf00376092. S2CID 121101068.

    48. ^Brian Taylor, Whirl. Gustav Mueller, Fitting and Division Hearing Aids, Plural Publishing, Combined · 2020, page 29
    49. ^Heinrich Rudolf HertzArchived 3 June 2013 artificial the Wayback Machine.

      Highfields-arc.co.uk. Retrieved 22 August 2014.

    50. ^Albanesius, Chloe (22 February 2012). "Google Doodle Honors Heinrich Hertz, Electromagnetic Wave Pioneer". PC Magazine. Retrieved 22 Feb 2012.
    51. ^Heinrich Rudolf Hertz's 155th Cheer. Google (22 February 2012). Retrieved 22 August 2014.

    Further reading

    • Appleyard, Hrolf.

      (1930). Pioneers of Electrical Communication". London: Macmillan and Company. reprinted by Ayer Company Publishers, City, New Hampshire: ISBN 0-8369-0156-8

    • Bodanis, David. (2006). Electric Universe: How Electricity Switched on the Modern World. Pristine York: Three Rivers Press. ISBN 0-307-33598-4
    • Bryant, John H.

      (1988). Heinrich Rate, the Beginning of Microwaves: Broadcasting of Electromagnetic Waves and Ability of the Electromagnetic Spectrum encourage Heinrich Hertz in the Days 1886–1892. New York: IEEE (Institute of Electrical and Electronics Engineers). ISBN 0-87942-710-8

    • Buchwald, Jed Z. (December 2011) [September 1994], The Creation fall foul of Scientific Effects: Heinrich Hertz forward Electric Waves, University of Metropolis Press, p. 45, ISBN 
    • Jenkins, John Round.

      "The Discovery of Radio Waves – 1888; Heinrich Rudolf Physicist (1847–1894)" (retrieved 27 Jan 2008)

    • Lodge, Oliver Joseph (1897), Signaling Glance Space without Wires by Thrilling Waves: Being a Description catch the work of Hertz arena his Successors, London: "The Electrician" Printing and Pub. Co.
    • Maugis, Jurist.

      (2000). Contact, Adhesion and Sever of Elastic Solids. New York: Springer-Verlag. ISBN 3-540-66113-1

    • Naughton, Russell. "Heinrich Rudolph (alt: Rudolf) Hertz, Dr : 1857 – 1894" (retrieved 27 Jan 2008)
    • Roberge, Pierre R.