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Topic: Drude model


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In the News (Sat 5 Dec 09)

  
  Biography of PAUL DRUDE
Drude was survived by his wife and four children.
Drude graduated the year Heinrich Hertz began publishing his findings from his experiments on the electromagnetic theories of James Clerk Maxwell.
The Drude model would be further advanced in 1933 by Arnold Sommerfeld and Hans Bethe, becoming the Drude-Sommerfeld-Model.
theor.jinr.ru /~kuzemsky/drudbio.html   (562 words)

  
 Physics Research Odyssey
The modeling uses the Drude free electron model in the form of a modified Debye model formalism.
The classical Drude model assumes that the conduction electrons are the transport mechanism for the thermal current.
In the modified Debye model the electrons are treated as free electrons and a relaxation time is used to describe the electrons collision frequency within the phonon lattice of the metal.
physics.pdx.edu /~dbn/FDTD.html   (184 words)

  
 Paul Drude - Wikipedia, the free encyclopedia
Drude began his studies in mathematics at the University of Göttingen, but later changed his major to physics.
In 1894 Drude became an extraordinarius professor at the University of Leipzig; in the same year he married Emilie Regelsberger, daughter of a Göttingen lawyer.
Drude graduated the year Heinrich Hertz began publishing his findings from his experiments on the electromagnetic theories of James Clerk Maxwell.
en.wikipedia.org /wiki/Paul_Karl_Ludwig_Drude   (484 words)

  
 Coincidental Taxonomy 2 in ZhurnalWiki
The Drude Model (pronounced Droo-dah and affectionately referred to at my undergraduate institution as the Crude Model) of thermal and electrical conduction in metals brings up a couplet of coincidences which clearly facilitated the bearing of fruit in the early days of solid state physics.
Drude, through a classical model relying heavily on the kinetic theory of gases, was able to derive the Wiedeman-Franz Law (a proportionality between the ratio of thermal to electrical conductivity and temperature) in terms of fundamental ideal gas law parameters.
Drude, however, in his original calculation of the electrical conductivity erroneously found half the correct result --- placing his prediction, coincidentally, in extraordinary agreement with the observed value.
zhurnal.net /ww/zw?CoincidentalTaxonomy2   (699 words)

  
 Understanding Physics (Michael Mansfield and Colm O' Sullivan)   (Site not responding. Last check: 2007-09-16)
The free electron model is introduced quantitatively for metals and then developed qualitatively, through the band model, to apply to insulators and semiconductors.
In Section 20.2 it is shown that the classical free electron (Drude) model of the microscopic behaviour of electrons in a metal fails to account quantitatively for properties such as electrical conductivity and specific heat capacity.
By considering the filling of valence and conduction bands, the model is used to extend the quantum treatment of electrons in solids from conductors to insulators and semiconductors.
www.ucc.ie /publication/mansfield/books/uphys/book/chap20.htm   (653 words)

  
 Drude model - Wikipedia, the free encyclopedia
It assumes that the material contains immobile positive ions and an "electron gas" of classical, non-interacting electrons of density n, each of whose motion is damped by a frictional force, due to collisions of the electrons with the ions, characterized by a relaxation time τ.
The Drude model can also predict the current as a response to a time-dependent electric field with an angular frequency ω, in which case
Here the Drude model is applied to electrons; it can be applied both to electrons and holes, i.e.
en.wikipedia.org /wiki/Drude_model   (373 words)

  
 fitcharge.doc
The molecular mechanics model for the molecule under the influence of perturbation p is a collection of point charges {q_i - delta_i} at atomic positions {r_i} and Drude charges {delta_i} at positions {r_i + d_pi}.
The model electrostatic potential for the p-th perturbation, at the g-th gridpoint, is phi_pg({q}) = sum_i [ (q_i-\delta_i)/(r_i-r_g) + (delta_i)/(r_i+d_pi-r_g} ] The optimal displacements {d_pi} depend on the position r_p of the perturbating charge, as well as on the atomic and Drude charges.
For nonpolarizable models, it was shown that fitted charges of neighboring atoms were highly correlated, and, more generally, that the atomic point charges model of the potential was largely overparametrized.
biowulf.nih.gov /apps/charmm/charmmdoc/c32b1/fitcharge.html   (1862 words)

  
 Linking Protein Folds to Biochemical Relevance   (Site not responding. Last check: 2007-09-16)
A critical test of atomic level models is mapping the free energy of a protein as a function of a small set of parameters that describe the protein folding reaction.
One functional form of a simple model is to use a generalized Poisson Boltzmann treatment for the electrostatics, and to include a solvent-accessible surface area term to describe the free energy attributable to the hydrophobic effect.
In a Drude model, the electronic degrees of freedom associated with a site/atom are treated by two non-interacting charges of opposite sign tethered together by a harmonic spring.
cbcg.lbl.gov /ssp3.html   (5626 words)

  
 Boston University | Center for Computational Science | Boston, MA. USA.
In the first half of the talk, a self-consistent model will be presented that can describe proton translocation in aqueous solution with a computational cost scaling linearly with respect to the number of protons.
In the second half of the talk, the Drude model for describing interactions between an excess electron and water clusters will be described.
The Drude model is shown to give a highly accurate description of the electron binding energy while using orders of magnitude less CPU time as compared to first principle methods.
ccs.bu.edu /seminars/FengWang12-02-2005.htm   (132 words)

  
 GaAs   (Site not responding. Last check: 2007-09-16)
The simplest model of conduction electrons is the Drude model, which treats the electrons as free to move under the influence of an applied electric field, but subject to collisional damping forces, (see the figure to the right).
In the Drude model all scattering events are assumed to have the same scattering time, however, a generalization of the Drude model is achieved by allowing a distribution of relaxation times.
The mobility is higher at lower temperatures because the scattering probability is lower (smaller number of phonons) at the lower temperature.
www.chem.yale.edu /~cas/gaas.html   (671 words)

  
 invigilator's random walk   (Site not responding. Last check: 2007-09-16)
It could be assumed that the lattice points exert no force on the free moving particles and that the classical Drude model of electron motion in metals may apply.
The Drude model does collapse on consideration that the lattice points have similar dimensions to the free moving particles, as does the lattice spacing (the fundamental Separation Constant for lattice points is 1m).
As this is the case a multi-collision theory may need to be developed (based on the arguments of statistical mechanics and the individual states of each of the J particles); however, unless a free moving particle is in a particularly unusual state (spin up/down/all around), then collisions are not, in practice, seen.
www.spidercox.co.uk /invig.htm   (467 words)

  
 Drude Model
In 1900 Paul Drude (1863-1906) formulated a very powerful model electrical conductivity which we will review here.
Drude model - Solid State Physics lectures from Carleton College -- see in particular:
Consider the follow model of a single representative charge carrier moving through a medium with "scattering centers:"
people.deas.harvard.edu /~jones/es154/lectures/lecture_2/drude_model/drude_model.html   (164 words)

  
 PCGrate -> Refractive Indices
Thus, for example, for some materials and wavelength regions use of the well-known Drude model to predict the optical constants brings us to a good agreement with data of measurements, especially for the real part of the refractive index.
Therefore, it is essential to carefully derive the complex refractive indices from both the literature and the appropriate models.
The modeling followed the foregoing procedure and was performed to suit the best agreement with the data of efficiency measurements in the (-9)th order for variable values of the real part of the refractive index.
www.pcgrate.com /etestlab/rindices   (2432 words)

  
 C:\Mark\solid state\websized.html   (Site not responding. Last check: 2007-09-16)
Using the electrical conductivity derived with the Drude model
and, the thermal conductvity derived from the Sommerfeld model
The electron has been assumed to be the charge carrier so qe is the charge of an electron and me is the mass of an electron.
www.phys.vt.edu /~makela/websized.html   (341 words)

  
 drude model!
In addition (whether it's the Drude model or any of the more sophisticated models that followed), the theory tends to not venture into what happens near sample boundaries.
Born and von Karmann thought of this in an astonishing way (conditions for which wave function of the electron is a Bloch electron)...
It is similar to field emission, but due to the large spread in the Fermi function at very high temperature, the electrons has an easier time escaping through the barrier.
www.physicsforums.com /showthread.php?t=101361   (635 words)

  
 Digitizing and Annotating Texts and Field Recordings in the Awetí Project
Fieldwork in the ALDP is carried out by the principal researcher, Sebastian Drude, who initiated research among the Awetí in 1998, together with his colleague Sabine Reiter (since 2001, first field stay in 2002).
During centuries, linguistic descriptions were based on theories belonging to this type, and there is a somewhat growing interest in modern theories that take the notion of paradigms as basic (some neostructuralist theories, especially in the European tradition of structuralism belong to this type).
The Item and Arrangement model works fine for most phenomena in agglutinating languages, but there are difficulties with synthetic word forms in inflecting languages, and with analytical word forms in arbitrary languages.
www.emeld.org /workshop/2003/paper-drude.html   (7193 words)

  
 Quantum Mechanics Tutorials
Tutorials are designed to offer students a small group learning environment in which they have the opportunity to develop their reasoning skills.
Students discuss difficulties with the model of revolving electrons and develop the idea of transitions between energy levels via photon emission or absorption.
Students develop a quantum mechanical model of electron location in a 1-D lattice with few atoms to account for macroscopic observations of polarization in substances.
www.physics.umd.edu /perg/qm/qmcourse/NewModel/qmtuts.htm   (804 words)

  
 'Unknown' by Unknown - Page 4 of 7
The Drude model is appealing in that it is derived from
In Drude model using FDTD with some success.
Under this model, we are able to obtain a good match
www.remcom.com /multimedia/publications/html/sanchez/sanchez0004.htm   (460 words)

  
 GSOLVER FAQ
The DRUDE model is a simple two parameter model (see the Help file) of the index of refraction.
For accurate values of the index of refraction one should use a Table model where the values of the wavelength together with n and k are entered in a file.
The Table model is a simple list of wavlengths (in microns), n, k, where the wavelengths are entered in strictly descending order (short to long).
www.gsolver.com /faq.html   (4479 words)

  
 Why are insulators insulating and metals conducting?
Within classical physics, this qualitative difference is attributed to the nature of the electronic charge, as sketched in Fig.
Top sketch: Lorentz model for insulators, where each electron is tied (by an harmonic force) to a particular center.
Bottom sketch: Drude model for metals, where electrons roam freely over macroscopic distances, hindered only by atomic scattering potentials.
www.europhysicsnews.com /full/21/article3/article3.html   (2093 words)

  
 Problem Set 1
This is actually a model for conduction in a semiconductor, where the negative charges are electrons that get excited into the conduction band, and the positive charges are the holes they leave behind in the valence band.
A metal with a concentration n of free conduction electrons of charge -e is in a static magnetic field H that points in the z direction.
This might be a model for electrons in a thin metallic film, or a semiconductor inversion layer.
www.pas.rochester.edu /~stte/phy251F06/hw1.html   (737 words)

  
 Source Code   (Site not responding. Last check: 2007-09-16)
Demonstrates a counterintuitive statistical concept relevant to the Drude model.
Uses the Boltzmann factor to calculate the average energy per molecule as a function of temperature.
Allows students to write their own programs to model interacting objects in 3D (beta).
www.physics.pomona.edu /sixideas/source.html   (378 words)

  
 Oxford University Press
It sets out to provide the vocabulary and quantum-mechanical training necessary to understand the electronic, optical and structural properties of the materials met in science and technology and describes some of the experimental techniques which are used to study band structure today.
In order to leave space for recent developments, the Drude model and the introduction of quantum statistics are treated synoptically.
However, Bloch's theorem and two tractable limits, a very weak periodic potential and the tight-binding model, are developed rigorously and in three dimensions.
www.oup.com /ca/isbn/0-19-850644-9   (398 words)

  
 Physics 518 Lectures, Spring 2002
Static conductivity and scattering time in the Drude model.
Failures of Drude theory: heat capacity, thermal conductivity and the Lorenz number.
Compare Drude, Sommerfeld and Bloch models of a solid.
dept.physics.upenn.edu /~mele/archives/webpage518/phys518.s02/log.html   (725 words)

  
 Determination of Electrostatic Parameters for a Polarizable Force Field Based on the Classical Drude Oscillator   (Site not responding. Last check: 2007-09-16)
A procedure to determine the electrostatic parameters has been developed for a polarizable empirical force field based on the classical Drude oscillator model.
The derived electrostatic parameters have been successfully applied in a preliminary polarizable molecular dynamics simulation of a DNA octamer in a box of water with sodium counterions.
Thus, this study confirms the feasibility of the use of a polarizable force field based on a classical Drude model for simulations of biomolecules in the condensed phase.
pubs.acs.org /cgi-bin/abstract.cgi/jctcce/2005/1/i01/abs/ct049930p.html   (339 words)

  
 Control Exam II
The constant of proportionality is called the Lorentz number which is independent of the particular metal.
Could this law be true even if one assumes the classical Drude model for electrical and thermal conduction?
#In terms of the electron mean free path and the specific heat capacity, what are the key differences between the classical Drude model and the free-electron (Fermi gas) model for metals?
www.it.kth.se /courses/2B1211/questions2.htm   (655 words)

  
 Drude model   (Site not responding. Last check: 2007-09-16)
In the case of doped semiconductors the charge carriers set free by the donors or acceptors can be accelerated by very little energies and hence do respond to applied electric fields with frequencies in the infrared region.
A simple expression for the susceptibility of free carriers (which is also applicable to metals, of course) is given by the so-called Drude model where the carrier concentration and a damping constant enters:
The parameters plasma frequency and damping constant can be set in the corresponding SCOUT dialog:
www.mtheiss.com /docs/scout2/drude_model.htm   (85 words)

  
 Michael Nielsen » Blog Archive » Fermions and the Jordan-Wigner transform IV: Diagonalizing Fermi Quadratic ...
This class of Hamiltonians arises in a lot of realistic physical systems, and we’ll see an explicit example later on, when we show that a particular spin model (the X-Y model) is equivalent to a Fermi quadratic Hamiltonian.
Such Hamiltonians are used, for example, in the simplest possible quantum mechanical model of a metal, the Drude-Sommerfeld model, which treats the conduction electrons as free Fermions.
Such a model may appear pretty simplistic (especially after we solve it, below), but actually there’s an amazing amount of physics one can get out of such simple models.
www.qinfo.org /people/nielsen/blog/?p=229   (847 words)

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