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Spectroscopy

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Study involving matter and electromagnetic radiation
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Aprism separates white light bydispersing it into its component colors, which can then be studied using spectroscopy.

Spectroscopy is the field of study that measures and interpretselectromagnetic spectra.[1][2] In narrower contexts, spectroscopy is the precise study ofcolor as generalized fromvisible light to all bands of the electromagnetic spectrum.

Spectroscopy, primarily in the electromagnetic spectrum, is a fundamental exploratory tool in the fields ofastronomy,chemistry,materials science, andphysics, allowing the composition, physical structure and electronic structure of matter to be investigated at the atomic,molecular and macro scale, and overastronomical distances.

Historically, spectroscopy originated as the study of the wavelength dependence of the absorption by gas phase matter of visible light dispersed by aprism. Current applications of spectroscopy includebiomedical spectroscopy in the areas oftissue analysis andmedical imaging.Matter waves andacoustic waves can also be considered forms of radiative energy, and recentlygravitational waves have been associated with a spectral signature in the context of theLaser Interferometer Gravitational-Wave Observatory (LIGO).[3]

Introduction

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Spectroscopy is a branch of science concerned with thespectra ofelectromagnetic radiation as a function of its wavelength or frequency measured byspectrographic equipment, and other techniques, in order to obtain information concerning the structure and properties of matter.[4] Spectral measurement devices are referred to asspectrometers,spectrophotometers,spectrographs orspectral analyzers. Most spectroscopic analysis in the laboratory starts with a sample to be analyzed, then a light source is chosen from any desired range of the light spectrum, then the light goes through the sample to a dispersion array (diffraction grating instrument) and captured by aphotodiode. For astronomical purposes, the telescope must be equipped with the light dispersion device. There are various versions of this basic setup that may be employed.

Spectroscopy began withIsaac Newton splitting light with a prism; a key moment in the development of modernoptics.[5] Therefore, it was originally the study of visible light that we callcolor that later under the studies ofJames Clerk Maxwell came to include the entireelectromagnetic spectrum.[6] Although color is involved in spectroscopy, it is not equated with the color of elements or objects that involve the absorption and reflection of certain electromagnetic waves to give objects a sense of color to our eyes. Rather spectroscopy involves the splitting of light by a prism, diffraction grating, or similar instrument, to give off a particular discrete line pattern called a "spectrum" unique to each different type of element. Most elements are first put into a gaseous phase to allow the spectra to be examined although today other methods can be used on different phases. Each element that is diffracted by a prism-like instrument displays either an absorption spectrum or an emission spectrum depending upon whether the element is being cooled or heated.[7]

Until recently all spectroscopy involved the study of line spectra and most spectroscopy still does.[8] Vibrational spectroscopy is the branch of spectroscopy that studies the spectra.[9] However, the latest developments in spectroscopy can sometimes dispense with the dispersion technique. In biochemical spectroscopy, information can be gathered about biological tissue by absorption and light scattering techniques. Light scattering spectroscopy is a type of reflectance spectroscopy that determines tissue structures by examining elastic scattering.[10] In such a case, it is the tissue that acts as a diffraction or dispersion mechanism.

Spectroscopic studies were central to the development ofquantum mechanics, because the first useful atomic models described the spectra of hydrogen, which include theBohr model, theSchrödinger equation, andMatrix mechanics, all of which can produce the spectral lines ofhydrogen, therefore providing the basis for discrete quantum jumps to match the discrete hydrogen spectrum. Also,Max Planck's explanation ofblackbody radiation involved spectroscopy because he was comparing the wavelength of light using a photometer to the temperature of aBlack Body.[11] Spectroscopy is used inphysical andanalytical chemistry becauseatoms andmolecules have unique spectra. As a result, these spectra can be used to detect, identify and quantify information about the atoms and molecules. Spectroscopy is also used inastronomy andremote sensing on Earth. Most researchtelescopes have spectrographs. The measured spectra are used to determine the chemical composition andphysical properties ofastronomical objects (such as theirtemperature, density of elements in a star,velocity,black holes and more).[12] An important use for spectroscopy is in biochemistry. Molecular samples may be analyzed for species identification and energy content.[13]

Theory

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The underlying premise of spectroscopy is that light is made of different wavelengths and that each wavelength corresponds to a different frequency. The importance of spectroscopy is centered around the fact that every element in theperiodic table has a unique light spectrum described by the frequencies of light it emits or absorbs consistently appearing in the same part of the electromagnetic spectrum when that light is diffracted. This opened up an entire field of study with anything that contains atoms. Spectroscopy is the key to understanding the atomic properties of all matter. As such spectroscopy opened up many new sub-fields of science yet undiscovered. The idea that each atomic element has its unique spectral signature enabled spectroscopy to be used in a broad number of fields each with a specific goal achieved by different spectroscopic procedures. TheNational Institute of Standards and Technology maintains a public Atomic Spectra Database that is continually updated with precise measurements.[14]

The broadening of the field of spectroscopy is due to the fact that any part of the electromagnetic spectrum may be used to analyze a sample from the infrared to the ultraviolet telling scientists different properties about the very same sample. For instance in chemical analysis, the most common types of spectroscopy include atomic spectroscopy, infrared spectroscopy, ultraviolet and visible spectroscopy,Raman spectroscopy andnuclear magnetic resonance.[15] In nuclear magnetic resonance (NMR), the theory behind it is that frequency is analogous toresonance and its corresponding resonant frequency. Resonances by the frequency were first characterized in mechanical systems such aspendulums, which have a frequency of motion noted famously byGalileo.[16]

Classification of methods

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A huge diffraction grating at the heart of the ultra-preciseESPRESSO spectrograph.[17]

Spectroscopy is a sufficiently broad field that many sub-disciplines exist, each with numerous implementations of specific spectroscopic techniques. The various implementations and techniques can be classified in several ways.

Type of radiative energy

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The types of spectroscopy are distinguished by the type of radiative energy involved in the interaction. In many applications, the spectrum is determined by measuring changes in the intensity or frequency of this energy. The types of radiative energy studied include:

Nature of the interaction

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The types of spectroscopy also can be distinguished by the nature of the interaction between the energy and the material. These interactions include:[2]

  • Absorption spectroscopy: Absorption occurs when energy from the radiative source is absorbed by the material. Absorption is often determined by measuring the fraction of energy transmitted through the material, with absorption decreasing the transmitted portion.
  • Emission spectroscopy: Emission indicates that radiative energy is released by the material. A material'sblackbody spectrum is a spontaneous emission spectrum determined by its temperature. This feature can be measured in the infrared by instruments such as the atmospheric emitted radiance interferometer.[18] Emission can also be induced by other sources of energy such asflames,sparks,electric arcs or electromagnetic radiation in the case offluorescence.
  • Elastic scattering andreflection spectroscopy determine how incident radiation is reflected or scattered by a material.Crystallography employs the scattering of high energy radiation, such as x-rays and electrons, to examine the arrangement of atoms in proteins and solid crystals.
  • Impedance spectroscopy: Impedance is the ability of a medium to impede or slow the transmittance of energy. Foroptical applications, this is characterized by theindex of refraction.
  • Inelastic scattering phenomena involve an exchange of energy between the radiation and the matter that shifts the wavelength of the scattered radiation. These includeRaman andCompton scattering.
  • Coherent or resonance spectroscopy are techniques where the radiative energy couples two quantum states of the material in acoherent interaction that is sustained by the radiating field. The coherence can be disrupted by other interactions, such as particle collisions and energy transfer, and so often require high intensity radiation to be sustained.Nuclear magnetic resonance (NMR) spectroscopy is a widely used resonance method, andultrafast laser spectroscopy is also possible in the infrared and visible spectral regions.
  • Nuclear spectroscopy are methods that use the properties of specificnuclei to probe thelocal structure in matter, mainlycondensed matter,molecules in liquids or frozen liquids and bio-molecules.
  • Quantum logic spectroscopy is a general technique used inion traps that enables precision spectroscopy of ions with internal structures that precludelaser cooling, state manipulation, and detection.Quantum logic operations enable a controllable ion to exchange information with a co-trapped ion that has a complex or unknown electronic structure.

Type of material

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Spectroscopic studies are designed so that theradiant energy interacts with specific types of matter.

Atoms

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Atomic spectra comparison table, from "Spektroskopische Methoden der analytischen Chemie" (1922).

Atomic spectroscopy was the first application of spectroscopy.Atomic absorption spectroscopy andatomic emission spectroscopy involve visible and ultraviolet light. These absorptions and emissions, often referred to as atomic spectral lines, are due toelectronic transitions of outer shell electrons as they rise and fall from one electron orbit to another. Atoms also have distinct x-ray spectra that are attributable to the excitation of inner shell electrons to excited states.

Atoms of different elements have distinct spectra and therefore atomic spectroscopy allows for the identification and quantitation of a sample's elemental composition. After inventing the spectroscope,Robert Bunsen andGustav Kirchhoff discovered new elements by observing their emission spectra. Atomic absorption lines are observed in the solar spectrum and referred to asFraunhofer lines after their discoverer. A comprehensive explanation of thehydrogen spectrum was an early success of quantum mechanics and explained theLamb shift observed in the hydrogen spectrum, which further led to the development ofquantum electrodynamics.

Modern implementations of atomic spectroscopy for studying visible and ultraviolet transitions includeflame emission spectroscopy,inductively coupled plasma atomic emission spectroscopy,glow discharge spectroscopy,microwave induced plasma spectroscopy, and spark or arc emission spectroscopy. Techniques for studying x-ray spectra includeX-ray spectroscopy andX-ray fluorescence.

Molecules

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The combination of atoms into molecules leads to the creation of unique types of energetic states and therefore unique spectra of the transitions between these states. Molecular spectra can be obtained due to electron spin states (electron paramagnetic resonance),molecular rotations,molecular vibration, and electronic states. Rotations are collective motions of the atomic nuclei and typically lead to spectra in the microwave and millimetre-wave spectral regions. Rotational spectroscopy and microwave spectroscopy are synonymous. Vibrations are relative motions of the atomic nuclei and are studied by both infrared andRaman spectroscopy. Electronic excitations are studied using visible and ultraviolet spectroscopy as well asfluorescence spectroscopy.[2][19][20][21][22]

Studies in molecular spectroscopy led to the development of the firstmaser and contributed to the subsequent development of thelaser.

Crystals and extended materials

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The combination of atoms or molecules into crystals or other extended forms leads to the creation of additional energetic states. These states are numerous and therefore have a high density of states. This high density often makes the spectra weaker and less distinct, i.e., broader. For instance, blackbody radiation is due to the thermal motions of atoms and molecules within a material. Acoustic and mechanical responses are due to collective motions as well.Pure crystals, though, can have distinct spectral transitions, and the crystal arrangement also has an effect on the observed molecular spectra. The regularlattice structure of crystals also scatters x-rays, electrons or neutrons allowing for crystallographic studies.

Nuclei

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Nuclei also have distinct energy states that are widely separated and lead togamma ray spectra. Distinct nuclear spin states can have their energy separated by a magnetic field, and this allows fornuclear magnetic resonance spectroscopy.

Other types

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This sectionis inlist format but may read better asprose. You can help byconverting this section, if appropriate.Editing help is available.(April 2016)

Other types of spectroscopy are distinguished by specific applications or implementations:

Applications

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UVES is a high-resolution spectrograph on theVery Large Telescope.[31]

There are several applications of spectroscopy in the fields of medicine, physics, chemistry, and astronomy. Taking advantage of the properties ofabsorbance and withastronomy emission, spectroscopy can be used to identify certain states of nature. The uses of spectroscopy in so many different fields and for so many different applications has caused specialty scientific subfields. Such examples include:

  • Determining the atomic structure of a sample[32]
  • Studying spectral emission lines of the sun and distant galaxies[33]
  • Space exploration
  • Cure monitoring ofcomposites usingoptical fibers.
  • Estimating weathered wood exposure times using near infrared spectroscopy.[34]
  • Measurement of different compounds infood samples by absorption spectroscopy both in visible and infrared spectrum.
  • Measurement of toxic compounds in blood samples
  • Non-destructive elemental analysis byX-ray fluorescence.
  • Electronic structure research with various spectroscopes.
  • Redshift to determine thespeed andvelocity of a distant object
  • Determining the metabolic structure of a muscle
  • Monitoring dissolved oxygen content in freshwater and marine ecosystems
  • Altering the structure of drugs to improve effectiveness
  • Characterization of proteins
  • Respiratory gas analysis in hospitals[7]
  • Finding the physical properties of a distant star or nearby exoplanet using theRelativistic Doppler effect.[35]
  • In-ovo sexing: spectroscopy allows to determine the sex of the egg while it is hatching. Developed by French and German companies, both countries decided to banchick culling, mostly done through a macerator, in 2022.[36]
  • Process monitoring inIndustrial process control[37]

History

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Main article:History of spectroscopy

The history of spectroscopy began withIsaac Newton's optics experiments (1666–1672). According toAndrew Fraknoi andDavid Morrison, "In 1672, in the first paper that he submitted to theRoyal Society, Isaac Newton described an experiment in which he permitted sunlight to pass through a small hole and then through a prism. Newton found that sunlight, which looks white to us, is actually made up of a mixture of all the colors of the rainbow."[38] Newton applied the word "spectrum" to describe the rainbow of colors that combine to form white light and that are revealed when the white light is passed through a prism.

Fraknoi and Morrison state that "In 1802,William Hyde Wollaston built an improved spectrometer that included a lens to focus the Sun's spectrum on a screen. Upon use, Wollaston realized that the colors were not spread uniformly, but instead had missing patches of colors, which appeared as dark bands in the spectrum."[38] During the early 1800s,Joseph von Fraunhofer made experimental advances with dispersive spectrometers that enabled spectroscopy to become a more precise and quantitative scientific technique. Since then, spectroscopy has played and continues to play a significant role in chemistry, physics, and astronomy. Per Fraknoi and Morrison, "Later, in 1815, German physicist Joseph Fraunhofer also examined the solar spectrum, and found about 600 such dark lines (missing colors), are now known as Fraunhofer lines, or Absorption lines."[38][better source needed]

In quantum mechanical systems, the analogous resonance is a coupling of two quantum mechanicalstationary states of one system, such as anatom, via an oscillatory source of energy such as aphoton. The coupling of the two states is strongest when the energy of the source matches the energy difference between the two states. The energyE of a photon is related to its frequencyν byE = whereh is thePlanck constant, and so a spectrum of the system response vs. photon frequency will peak at the resonant frequency or energy. Particles such aselectrons andneutrons have a comparable relationship, thede Broglie relations, between their kinetic energy and their wavelength and frequency and therefore can also excite resonant interactions.

Spectra of atoms and molecules often consist of a series of spectral lines, each one representing a resonance between two different quantum states. The explanation of these series, and the spectral patterns associated with them, were one of the experimental enigmas that drove the development and acceptance of quantum mechanics. Thehydrogen spectral series in particular was first successfully explained by theRutherford–Bohr quantum model of the hydrogen atom. In some cases spectral lines are well separated and distinguishable, but spectral lines can also overlap and appear to be a single transition if thedensity of energy states is high enough. Named series of lines include theprincipal,sharp,diffuse andfundamental series.

DIY Spectroscopy

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Spectroscopy has emerged as a growing practice within themaker movement, enabling hobbyists and educators to construct functional spectrometers using readily available materials.[39] Utilizing components like CD/DVD diffraction gratings, smartphones, and 3D-printed parts, these instruments offer a hands-on approach to understanding light and matter interactions. Smartphone applications[40][41] along with open-source tools[42] facilitate integration, greatly simplify the capturing and analysis of spectral data. While limitations in resolution, calibration accuracy, and stray light management exist compared to professional equipment, DIY spectroscopy provides valuable educational experiences[43] and contributes to citizen science initiatives, fostering accessibility to spectroscopic techniques.

See also

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Notes

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  1. ^Duckett, Simon; Gilbert, Bruce (2000).Foundations of Spectroscopy. Oxford Science Publications.ISBN 978-0-19-850335-4.
  2. ^abcCrouch, Stanley R.; Skoog, Douglas A.; Holler, F. J. (2007).Principles of instrumental analysis. Australia: Thomson Brooks/Cole.ISBN 978-0-495-01201-6.
  3. ^Bartusiak, Marcia (2017-06-27),"Einstein's Unfinished Symphony: The Story of a Gamble, Two Black Holes, and a New Age of Astronomy",Einstein's Unfinished Symphony, Yale University Press,doi:10.12987/9780300228120,ISBN 978-0-300-22812-0,OCLC 1039140043,S2CID 246149887, retrieved2023-05-22Google Books
  4. ^The Oxford American College Dictionary. G.P. Putnam's Sons. 2002.ISBN 978-0-399-14415-8.OCLC 48965005.
  5. ^Edwards, Steven A. (19 November 2012)."Isaac Newton and the problem of color". American Association for the Advancement of Science. Retrieved2025-11-23.
  6. ^"1861: James Clerk Maxwell's greatest year". King's College London. 18 April 2011. Archived fromthe original on 22 June 2013. Retrieved28 March 2013.
  7. ^ab"What is Spectroscopy?". PASCO. Archived fromthe original on 2023-06-14.
  8. ^Sutton, M. A. (1974). "Sir John Herschel and the Development of Spectroscopy in Britain".The British Journal for the History of Science.7 (1). Cambridge University Press:42–60.doi:10.1017/S0007087400012851.JSTOR 4025175.
  9. ^Lazić, Dejan (2019). "Introduction to Raman Microscopy/Spectroscopy". In Radović, Biljana Vucelić; Lazić, Dejan; Nikšić, Miomir (eds.).Application of Molecular Methods and Raman Microscopy/Spectroscopy in Agricultural Sciences and Food Technology. London: Ubiquity Press. pp. 143–50.doi:10.5334/bbj.i.JSTOR j.ctvmd85qp.12.
  10. ^abPerelman, L. T.; Backman, V.; Wallace, M.; Zonios, G.; Manoharan, R.; Nusrat, A.; Shields, S.; Seiler, M.; Lima, C.; Hamano, T.; Itzkan, I.; Van Dam, J.; Crawford, J. M.; Feld, M. S. (1998-01-19)."Observation of Periodic Fine Structure in Reflectance from Biological Tissue: A New Technique for Measuring Nuclear Size Distribution".Physical Review Letters.80 (3):627–630.Bibcode:1998PhRvL..80..627P.doi:10.1103/PhysRevLett.80.627.
  11. ^Kumar, Manjit (2008). "Chap. 1".Quantum: Einstein, Bohr, and the great debate about the nature of reality (1st American ed.). W. W. Norton & Co.ISBN 978-1-84831-103-9. Retrieved2025-11-23.
  12. ^"Spectra and What They Can Tell Us".Imagine the Universe!. NASA Goddard Space Flight Center. August 2013. Retrieved2025-11-23.
  13. ^Nonell, Santi; Viappiani, Cristiano (16 October 2008)."Basic Spectroscopy".Photobiological Sciences Online. Retrieved2025-11-23.
  14. ^"Atomic Spectra Database", NIST.
  15. ^Saul, Louise. (April 6, 2020). "The Different Types of Spectroscopy for Chemical Analysis". AZoOptics. Retrieved on November 10, 2021.
  16. ^Isaac Asimov, Understanding Physics, Vol. 1, p.108.
  17. ^"A Taste of ESPRESSO". Retrieved15 September 2015.
  18. ^Mariani, Z.; Strong, K.; Wolff, M.; Rowe, P.; Walden, V.; Fogal, P. F.; Duck, T.; Lesins, G.; Turner, D. S.; Cox, C.; Eloranta, E.; Drummond, J. R.; Roy, C.; Turner, D. D.; Hudak, D.; Lindenmaier, I. A. (2012)."Infrared measurements in the Arctic using two Atmospheric Emitted Radiance Interferometers".Atmospheric Measurement Techniques.5 (2):329–344.Bibcode:2012AMT.....5..329M.doi:10.5194/amt-5-329-2012.
  19. ^Kroto, H. W. (1975).Molecular Rotation Spectra. Wiley.ISBN 978-0-471-50853-3.OCLC 793428.
  20. ^Philip R. Bunker and Per Jensen (1998),Molecular Symmetry and Spectroscopy, 2nd ed. NRC Research Press, Ottawa[1]ISBN 9780660196282
  21. ^Papoušek, Dušan; Aliev, Mamed Ragimovich (1982).Molecular Vibrational-rotational Spectra: Theory and Applications of High Resolution Infrared, Microwave, and Raman Spectroscopy of Polyatomic Molecules. Amsterdam: Elsevier Scientific Publishing Company.ISBN 978-0-444-99737-1.OCLC 7278301.
  22. ^Wilson, Edgar B.; Decius, John C.; Cross, Paul C. (1980-03-01).Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra. Courier Corporation.ISBN 978-0-486-63941-3.OCLC 1023249001.
  23. ^Evans, C. L.; Xie, X. S. (2008). "Coherent Anti-Stokes Raman Scattering Microscopy: Chemical Imaging for Biology and Medicine".Annual Review of Analytical Chemistry.1:883–909.Bibcode:2008ARAC....1..883E.doi:10.1146/annurev.anchem.1.031207.112754.PMID 20636101.
  24. ^W. Demtröder,Laser Spectroscopy, 3rd Ed. (Springer, 2003).
  25. ^Brian Orr; J. G. Haub; Y. He; R. T. White (2016). "Spectroscopic Applications of Pulsed Tunable Optical Parametric Oscillators". InF. J. Duarte (ed.).Tunable Laser Applications (3rd ed.). Boca Raton:CRC Press. pp. 17–142.ISBN 978-1-4822-6106-6.
  26. ^Backman, V.; Wallace, M. B.; Perelman, L. T.; Arendt, J. T.; Gurjar, R.; Müller, M. G.; Zhang, Q.; Zonios, G.; Kline, E.; McGillican, T.; Shapshay, S.; Valdez, T.; Badizadegan, K.; Crawford, J. M.; Fitzmaurice, M. (July 2000)."Detection of preinvasive cancer cells".Nature.406 (6791):35–36.doi:10.1038/35017638.ISSN 1476-4687.PMID 10894529.S2CID 4383575.
  27. ^Murray, Kermit K.; Boyd, Robert K.; Eberlin, Marcos N.; Langley, G. John; Li, Liang; Naito, Yasuhide (2013)."Definitions of terms relating to mass spectrometry (IUPAC Recommendations 2013)".Pure and Applied Chemistry.85 (7): 1.doi:10.1351/PAC-REC-06-04-06.ISSN 0033-4545.
  28. ^N. A. Sinitsyn; Y. V. Pershin (2016). "The theory of spin noise spectroscopy: a review".Reports on Progress in Physics.79 (10) 106501.arXiv:1603.06858.Bibcode:2016RPPh...79j6501S.doi:10.1088/0034-4885/79/10/106501.PMID 27615689.S2CID 4393400.
  29. ^Solli, D. R.; Chou, J.; Jalali, B. (2008). "Amplified wavelength–time transformation for real-time spectroscopy".Nature Photonics.2 (1):48–51.Bibcode:2008NaPho...2...48S.doi:10.1038/nphoton.2007.253.
  30. ^Chou, Jason; Solli, Daniel R.; Jalali, Bahram (2008). "Real-time spectroscopy with subgigahertz resolution using amplified dispersive Fourier transformation".Applied Physics Letters.92 (11): 111102.arXiv:0803.1654.Bibcode:2008ApPhL..92k1102C.doi:10.1063/1.2896652.S2CID 53056467.
  31. ^"Media advisory: Press Conference to Announce Major Result from Brazilian Astronomers".ESO Announcement. Retrieved21 August 2013.
  32. ^Brian Bowers (2001).Sir Charles Wheatstone FRS: 1802–1875 (2nd ed.). IET. pp. 207–208.ISBN 978-0-85296-103-2.
  33. ^Brand, John C. D. (1995).Lines of Light: The Sources of Dispersive Spectroscopy, 1800 – 1930. Gordon and Breach Publishers. p. 57.ISBN 978-2-88449-162-4.
  34. ^Wang, Xiping; Wacker, James P. (2006)."Using NIR Spectroscopy to Predict Weathered Wood Exposure Times"(PDF).WTCE 2006 – 9th World Conference on Timber Engineering. Archived fromthe original(PDF) on 2021-03-01. Retrieved2009-06-22.
  35. ^Sher, D. (1968). "The Relativistic Doppler Effect".Journal of the Royal Astronomical Society of Canada.62: 105.Bibcode:1968JRASC..62..105S.
  36. ^"Germany and France Will Stop Chick Culling". 22 July 2021.
  37. ^Grau-Luque, Enric; Guc, Maxim; Becerril-Romero, Ignacio; Izquierdo-Roca, Víctor; Pérez-Rodríguez, Alejandro; Bolt, Pieter; Van den Bruele, Fieke; Ruhle, Ulfert (March 2022)."Thickness evaluation of AlO x barrier layers for encapsulation of flexible PV modules in industrial environments by normal reflectance and machine learning".Progress in Photovoltaics: Research and Applications.30 (3):229–239.doi:10.1002/pip.3478.ISSN 1062-7995.
  38. ^abcAndrew Fraknoi;David Morrison (October 13, 2016)."OpenStax Astronomy".
  39. ^"DIY Webcam Diffraction Grating Spectrometer".PhysicsOpenLab. Retrieved2025-03-04.
  40. ^"Spectroscope".App Store. 2025-02-27. Retrieved2025-03-04.
  41. ^"Spectroscope - Apps on Google Play".play.google.com. Retrieved2025-03-04.
  42. ^Wright, Les (2025-02-16),leswright1977/PySpectrometer2, retrieved2025-03-04
  43. ^"Project Spectra!".Laboratory for Atmospheric and Space Physics. Retrieved2025-03-04.

References

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