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	Peter Debye - Wikipedia, the free encyclopedia
		Peter "Pie" Debye was born in Maastricht and after attending local schools in Maastricht went to the University of Aachen, Germany, only 30 km from Maastricht, in 1901.
		In 1936, Debye was awarded the Nobel Prize in Chemistry (entry at nobelprize.org) "for his contributions to the study of molecular structure," primarily referring to his work on dipole moments and X-ray diffraction.
		Debye relaxation - The dielectric relaxation response of an ideal, noninteracting population of dipoles to an alternating external electric field.
	en.wikipedia.org /wiki/Peter_Debye (845 words)

	Debye model - Wikipedia, the free encyclopedia
		The Debye model treats the vibrations of the atomic lattice (heat) as phonons in a box, in contrast to Einstein model, which treats the solid as many individual, non-interacting quantum harmonic oscillators.
		The Debye model is a solid-state equivalent of Planck's law of fl body radiation, where one treats electromagnetic radiation as a gas of photons in a box.
		Debye knew that this assumption was not really correct (the higher frequencies are more closely spaced than assumed), but it guarantees the proper behavior at high temperature (the Dulong-Petit law).
	en.wikipedia.org /wiki/Debye_model (1357 words)

	Debye, Peter. Anglicized name of Petrus Debije (Site not responding. Last check: 2007-10-08)
		Debye was born in Maastricht and studied at the Technische Hochschule in Aachen, Germany, and at the University of Munich.
		Debye's first major contribution was a modification of Einstein's theory of specific heats to include compressibility and expansivity.
		Debye's studies of dielectric constants led to the explanation of their temperature dependence and of their importance in the interpretation of dipole moments as indicators of molecular structure.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/D/Debye/1.html (225 words)

	[No title]
		Debye stayed in Utrecht for two years during which time he mainly worked on theoretical issues although he was convinced mathematical physics could not exist without experimental research.
		Debye received the Nobel Prize for chemistry in 1936 for his research into the structure of molecules and for developing methods of measurement for this research.
		Debye's name lives on at Utrecht University in the Debye Institute and worldwide in the many discoveries named after him: the 'Debye temperature', the 'Law of Debye', the 'Debye-Scherrer Method of X-Ray Diffraction', 'Debye-Hueckel Theory of Electrolytes', 'Debye Unit of Dipole Moments' and the 'Debye Method of Molecular Weight Determination by Light Scattering'.
	www.uu.nl /uupublish/homeuu/homeenglish/aboututrechtuniv/corporateinforma/history/nobelprizewinner/debye/23061_169.html (230 words)

	Encyclopedia: Peter Debye
		Debye relaxation is the dielectric relaxation response of an ideal, noninteracting population of dipoles to an alternating external electric field.
		A phonon is a quantized mode of vibration occurring in a rigid crystal lattice, such as the atomic lattice of a solid.
		In thermodynamics and solid state physics, the Debye model is a method of calculating the phonon contribution to the specific heat (heat capacity) in a solid.
	www.nationmaster.com /encyclopedia/Peter-Debye (2499 words)

	Nat' Academies Press, Biographical Memoirs V.46 (1975)
		Debye, well informed about the research activities at Munich, was quick to perceive that refinements of several kinds were necessary if the analyses were to have quantitative character.
		Debye, in his treatment of the electrical case, made use of the Langevin statistical theory of (orientation for the permanent magnetic moments of paramagnetic molecules.
		By analogy with the magnetic problem Debye reasoned that such asymmetric molecules must possess finite and permanent electrical moments and that their total electrical polarizations result from two contributions, a displacement of electrons and atoms in the molecule and an orientation in the electrical field of the molecule as a whole.
	www.nap.edu /books/0309022401/html/22.html (3996 words)

	Debye (Site not responding. Last check: 2007-10-08)
		Peter Debye (born Petrus Josephus Wilhelmus Debije) was born in Maastricht, Holland, on March 24, 1884, son of Wilhelmus and Maria Reumkens Dibje.
		Debye (D) is a CGS unit of electric dipole moment used in chemistry and physics.
		Debye's most treasured award is his bust, a gift of the natives of his birthplace, Maastricht, was there unveiled in his honor to adorn the town hall.
	chem.ch.huji.ac.il /~eugeniik/history/debye.html (2025 words)

	Peter Debye (Site not responding. Last check: 2007-10-08)
		Peter Joseph William Debye (March 24, 1884 - November 2, 1966) (born Petrus Josephus Wilhelmus Debije) was a Dutch-American physical chemist.
		Peter "Pie" Debye was born in Maastricht and after attending local schools in Maastricht went to the Technical University at Aachen, Germany, only 30 km from Maastricht, in 1901.
		In 1936, Debye was awarded the Nobel Prize in Chemistry "for his contributions to the study of molecular structure," primarily referring to his work on dipole moments and X-ray diffraction.
	www.termsdefined.net /pe/peter-debye.html (935 words)

	Petrus (Peter) Josephus Wilhelmus Debye
		In 1906 Debye obtained a similar position in Theoretical Physics at Munich University, where he qualified as a University lecturer in 1910 (having obtained this University's Ph.D. in Physics in 1908).
		Debye returned to Zurich in 1920, as Professor of Physics, and Principal of the Eidgenössische Technische Hochschule.
		In 1927 he held the same post at Leipzig and from 1934 to 1939 he was Director of the Max Planck Institute of the Kaiser Wilhelm Institute for Physics in Berlin-Dahlem and Professor of Physics at the University of Berlin.
	www.corrosion-doctors.org /Biographies/DebyeBio.htm (500 words)

	Solid State Simultions -"debye" (Site not responding. Last check: 2007-10-08)
		"debye" calculates a variety of quantities related to the phonon spectrum and specific heat of fcc crystals with nearest neighbor interactions.
		"debye" calculates the phonon dispersion relation for fcc crystals in the simplest possible model with a single adjustable force constant.
		"debye" samples the reciprocal space randomly, calculates the 3 phonon frequencies associated with each sampled point, and develops a density of modes histogram.
	www.physics.cornell.edu /sss/debye/debye.html (327 words)

	PETER DEBYE FACTS AND INFORMATION
		His first major scientific contribution was the application of the concept of dipole_moment to the charge distribution in asymmetric molecules in 1912, developing equations relating dipole moments to temperature, dielectric_constant, debye_relaxation, etc. In consequence, molecular dipole moments are measured in ''debyes'', a unit named in his honor.
		In 1936, Debye was awarded the Nobel_Prize_in_Chemistry (entry at nobelprize.org) "for his contributions to the study of molecular structure," primarily referring to his work on dipole moments and X-ray diffraction.
		Debye_relaxation - The dielectric relaxation response of an ideal, noninteracting population of dipoles to an alternating external electric field.
	www.gottaorderflowers.com /Peter_Debye (750 words)

	Debye, Peter, (Site not responding. Last check: 2007-10-08)
		After receiving his Ph.D. in physics from the University of Munich (1910), Debye taught physics at the universities of Zürich, Utrecht, Göttingen, and Leipzig before becoming director of the Kaiser Wilhelm Institute for Theoretical Physics at Berlin (1935).
		Debye's first important research, his dipole moment studies, advanced knowledge of the arrangement of atoms in molecules and of the distances between the atoms.
		In 1916 he showed that solid substances could be used in powdered form for X-ray study of their crystal structures, thus eliminating the difficult step of first preparing good crystals.
	www.britannica.com /nobel/micro/162_73.html (235 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		Peter Debye was born in 1884 in Maastricht, the Netherlands.
		He received the Nobel Prize in Chemistry, 1936, when he was working in the University of Berlin and Kaiser Wilhelm Institute for Physics, Berlin-Dahlem for his contributions to the knowledge of molecular structure through his investigations on dipole moments and on the diffraction of X-rays and electrons in gases.
		At this time Professor Debye became director of the Department for Mathematical Physics of the Physics Institute of the University of Göttingen till 1921.
	www.math.uni-goettingen.de /exchange/newsletter/2004-02/Debye.html (223 words)

	Debye_model
		Debye model treats the vibrations of the atomic lattice (heat) as phonons in a box.
		Debye model is a solid-state equivalent of Planck's law of fl body radiation, where one treats electromagnetic radiation as photons in a box.
		Debye model treats atomic vibrations as phonons in a box (box is the solid).
	www.apawn.com /search.php?title=Debye_model (988 words)

	Physicist / Astronomer D
		Debye was an Dutch-American physicist greatly contributed to the theory of electrolyte solutions.
		In 1935 Debye became professor of physics at University of Berlin and director of the Kaiser Wilhelm (now Max Planck) Institute for Physics in Berlin-Dahlem.
		Debye won the Nobel Prize in Chemistry, 1936, "for his contributions to our knowledge of molecular structure through his investigations on dipole moments and on the diffraction of X-rays and electrons in gases".
	www.mlahanas.de /Stamps/Data/PHPerson/D.htm (541 words)

	Peter Debye -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-08)
		Peter Joseph William Debye (March 24, 1884 - November 2, 1966) (born Petrus Josephus Wilhelmus Debije) was a (The West Germanic language of the Netherlands) Dutch (Click link for more info and facts about physical chemist) physical chemist.
		In 1910 he derived the (Click link for more info and facts about Planck radiation formula) Planck radiation formula using a method which (German physicist whose explanation of flbody radiation in the context of quantized energy emissions initiated quantum theory (1858-1947)) Max Planck agreed was simpler than his own method.
		In 1936, Debye was awarded the (Click link for more info and facts about Nobel Prize in Chemistry) Nobel Prize in Chemistry () "for his contributions to the study of molecular structure," primarily referring to his work on dipole moments and X-ray diffraction.
	www.absoluteastronomy.com /encyclopedia/p/pe/peter_debye.htm (566 words)

	Peter Debye - Biography
		He returned to The Netherlands in 1912 when he was appointed Professor of Theoretical Physics at Utrecht University, and in 1914 he moved to the University of Göttingen, to take charge of the Theoretical Department of the Physical Institute.
		The year 1952 saw Debye's resignation of his post of Head of the Chemistry Department at Cornell University and his appointment later as Emeritus Professor of Chemistry at Cornell University.
		Professor Debye is married to Mathilde Alberer and has a son Peter Paul Rupprecht (b.
	nobelprize.org /chemistry/laureates/1936/debye-bio.html (423 words)

	Phonons and the Debye Specific Heat
		Considering a solid to be a periodic array of mass points, there are constraints on both the minimum and maximum wavelength associated with a vibrational mode.
		with the modes and summing over the modes, Debye was able to find an expression for the energy as a function of temperature and derive an expression for the specific heat of the solid.
		It is called the Debye temperature and is a constant associated with the highest allowed mode of vibration.
	hyperphysics.phy-astr.gsu.edu /hbase/solids/phonon.html (697 words)

	Debye Theory of Specific Heat
		The quantitative fit to experiment was improved by Debye's recognition that there was a maximum number of modes of vibration in a solid.
		The density of states for these modes, which are called "phonons", is of the same form as the photon density of states in a cavity.
		Explaining the drastic departure from the Law of Dulong and Petit was a major contribution of the Einstein and Debye models.
	hyperphysics.phy-astr.gsu.edu /hbase/thermo/debye.html (428 words)

	The Debye Length, Avon, Ohio (Site not responding. Last check: 2007-10-08)
		This distance, called a Debye length, is a measure of the distance over which an individual charged particle can exert an effect.
		The Debye length is equal to (6.9 times the square root of (T/n))centimeters, where T is the temperature of the electrons in Kelvins and n(e) is the number of electrons per cubic centimeter.
		For a body of particles to behave as a plasma, its dimensions must be large compared to the Debye length.
	www.centuryinter.net /tjs11/school/debye.htm (165 words)

	Debye shielding
		Not surprisingly, the length-scale associated with such shielding is the Debye length.
		Actually, Debye shielding remains statistically significant, and physical, in the opposite limit in which the cloud is barely populated.
		In the latter case, it is the probability of observing charged particles within a Debye length of the perturbing charge which is modified.
	farside.ph.utexas.edu /teaching/plasma/lectures/node7.html (247 words)

	The Debye Formula
		This elegant expression is valid under the assumption that the constituent particles have spherical symmetry and that "copies" of the scattering system are found in all orientations and at infinite distance from its neighbours, hence the limit of validity of the Guinier approximation to dilute solutions.
		The pair distances between particles i and j may be "binned" in a pair-distance histogram where the "binsize" is small enough compared to the required resolution.
		For dense systems though a correction needs to be applied in the form of pre-multiplier in the Debye expression, different for the 2D and 3D case.
	srs.dl.ac.uk /arch/DALAI/Formula.html (460 words)

	The Hutchinson Dictionary of Scientific Biography: Debye, Peter Joseph Willem (1884-1966)@ HighBeam Research (Site not responding. Last check: 2007-10-08)
		He was awarded the 1936 Nobel Prize for Chemistry for his work on dipole moments and molecular structure.
		Debye was born on 24 March 1884 in Maastricht.
		From 1900-05 he went to school at the Technische Hochschule over the border in Aachen, Germany, where he qualified as an electrical engineer.
	www.highbeam.com /library/doc0.asp?DOCID=1P1:99916072&refid=ip_encyclopedia_hf (208 words)

	Peter Debye - Encyclopedia, History, Geography and Biography
		Peter Debye - Encyclopedia, History, Geography and Biography
		In plasma physics, the phenomenon of Debye shielding, where a plasma shields out an electro-static field, and the Debye length, the characteristic extent of this shielding, are named after him.
		Peter Debye, Early life, Scientific contributions prior to the Nobel Prize, His Nobel Prize, Later life and Miscellaneous.
	www.arikah.com /encyclopedia/Peter_Debye (765 words)

	Debye series
		In 1908, Peter Debye solved the problem of electromagnetic scattering from a cylinder and his method can also be adapted to scattering from a sphere.
		The Debye series is equivalent to the Mie series, but the Debye series has the great advantage that it can be used to isolate the contributions made by rays of order p - as shown in Fig.
		The primary and secondary rainbows due to the p = 2 and p = 3 contributions respectively are clearly separated for r = 100 µm, whereas they overlap for r = 10 µm.
	www.philiplaven.com /p2-1.html (502 words)

	Debye model -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-08)
		It improves upon the Einstein model, which assumes a single phonon frequency, by approximating the phonon (Click link for more info and facts about density of states) density of states as a constant up to a cutoff frequency, called the Debye frequency.
		According to the Debye model, which was developed by (Click link for more info and facts about Peter Debye) Peter Debye in 1913,
		where is the Debye temperature, which is characteristic for each material.
	www.absoluteastronomy.com /encyclopedia/D/De/Debye_model.htm (140 words)

	Conventional Fusion FAQ Glossary Part 4/26 (D)
		Debye, Peter Joseph: Physical chemist, studied behavior of conductive solutions (plasmas have some similar behaviors).
		Its characteristic thickness is the Debye length, and it is caused by Debye shielding of the negative surface charge resulting from electrons flowing to the surface much faster (initially) than the ions.
		The net result is an additional negative (positive) charge density which cancels the effect of the initial charge at distances large compared to the Debye length.
	www.cs.uu.nl /wais/html/na-dir/fusion-faq/glossary/d.html (1822 words)

	12.2.3 The Debye Theory (Site not responding. Last check: 2007-10-08)
		Debye approached the problem from the standpoint of the continuum mechanics of solids.
		Some properties of the Debye function are easy to establish.
		Since the behavior of the Debye function with temperature is not obvious from its definition - except at the extremes of temperature discussed above, it is useful to see how series expansions of the Debye function can be developed.
	scholar.chem.nyu.edu /2600/classnotes/node125.html (772 words)

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