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Topic: Fermi energy

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Fermi gas

Chemical potential

Antiparticle

Bose Einstein statistics

Pauli exclusion principle

EPR paradox

BCS theory

Spin (physics)

Valence band

Temperature

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	Fermi energy - Wikipedia, the free encyclopedia
		The Fermi energy is one of the central concepts of condensed matter physics.
		This is because the presence of neutrons does not affect the fermi energy of the protons in the nucleus.
		The Fermi momentum is the momentum of fermions at the Fermi surface.
	en.wikipedia.org /wiki/Fermi_energy (936 words)

	Fermi level and Fermi function
		The concept of the Fermi energy is a crucially important concept for the understanding of the electrical and thermal properties of solids.
		The Fermi energy also plays an important role in understanding the mystery of why electrons do not contribute significantly to the specific heat of solids at ordinary temperatures, while they are dominant contributors to thermal conductivity and electrical conductivity.
		The Fermi function gives the probability of occupying an available energy state, but this must be factored by the number of available energy states to determine how many electrons would reach the conduction band.This density of states is the electron density of states, but there are differences in its implications for conductors and semiconductors.
	hyperphysics.phy-astr.gsu.edu /hbase/solids/fermi.html (934 words)

	The Enrico Fermi Award - The Life of Enrico Fermi
		Fermi was born in Rome in 1901 and received his doctorate from the University of Pisa in 1922.
		Fermi's other research resulted in the Fermi-Dirac particle statistics, the theory of beta-decay, the Thomas-Fermi model of the atom, and a theory of the origin of cosmic rays.
		Fermi died on November 28, 1954, and the Enrico Fermi Award was established in 1956 to perpetuate the memory of his brilliance as a scientist and to recognize others of his kind-inspiring others by his example.
	www.er.doe.gov /fermi/html/Life.htm (543 words)

	Fermi level and Fermi function
		The Fermi energy is the maximum energy occupied by an electron at 0K.
		One of the remarkable things about the Fermi energy is how large it is compared to the energies which electrons could gain by ordinary physical interactions with their environment.
		The amount of energy available as a result of the temperature of the material is on the order of the average thermal energy, for which kT=.026 eV at 300K is a representative number.
	hyperphysics.phy-astr.gsu.edu /hbase/solids/fermi2.html (575 words)

	Nuclear Files: Library: Biographies: Enrico Fermi
		Often referred to as the "architect of the nuclear age," Enrico Fermi was born on September 29, 1901 in Rome, Italy.
		Fermi left the University of Florence to become a professor of theoretical physics at the University of Rome.
		Fermi moved to the University of Chicago in 1942 where he developed the first atomic pile and produced the first nuclear chain reaction.
	www.nuclearfiles.org /menu/library/biographies/bio_fermi-enrico.htm (241 words)

	Department of Energy - Enrico Fermi Award Ceremony
		The Department of Energy has a very rich scientific tradition and one of the best things about being Energy Secretary is from time to time I have an opportunity to acknowledge that tradition and the very real impact it continues to have on the lives of all Americans.Today is one of those days.
		That was certainly the case in 1973, when amid the anxieties of a national energy crisis, Art Rosenfeld changed course from a brilliant career in basic research in particle physics and focused all of his intellectual energy and leadership skills on solving the puzzle of where the energy we were collectively using was going.
		In the public arena, both at the Energy Department in Washington and at the California Energy Commission in Sacramento, where Art is now in his second term, he has proven himself an adroit policy maker known for using common sense and data to make his case.
	www.energy.gov /news/3769.htm (1172 words)

	ScienceMaster - JumpStart - Enrico Fermi Biography
		Fermi's accomplishments were in both theoretical and experimental physics, a unique feat in an age in which scientific endeavors have tended to specialize on one aspect or the other.
		Fermi moved to the University of Chicago to be in charge of the first major step in making feasible the building of a bomb.
		Fermi is recognized among physicists as one of the great scientists of the 20th century.
	www.sciencemaster.com /jump/physical/fermi_07.php (734 words)

	Publications
		For energies (or temperatures) between spin-fluctuation energy and the Fermi energy, the system behavior is quite different from that in a conventional Fermi liquid.
		I discuss the pairing instability cased by the spin-fluctuation exchange, and "fingerprints" of a spin mediated pairing that are chiefly associated with the emergence of the resonance peak in the spin response of a $d$-wave superconductor.
		Below optimal doping, the physics is qualitatively different from BCS theory as the gain in the condensation energy is a result of the feedback on spin excitations, while the fermionic contribution to $E_c$ is positive due to an ``undressing'' feedback on the fermions.
	uw.physics.wisc.edu /~chubukov/ACConferences.htm (870 words)

	Nobel laureate Cronin edits book on Fermi’s legacy
		Among Fermi’s early accomplishments was to apply quantum mechanics, which explains the behavior of atoms and subatomic particles, to the physics of solids and gases, Cronin said.
		Fermi went on to earn the Nobel Prize in 1938 for his discovery of new radioactive elements produced by the addition of neutrons to the cores of other atoms, and for the discovery of nuclear reactions brought about by slowly moving neutrons.
		Fermi was wrong about the size and cost of the Globatron, but its projected energy already has been achieved through technological advances.
	chronicle.uchicago.edu /041007/fermi.shtml (750 words)

	SparkNotes: Gas Thermodynaics: Non-Classical Gases
		A Fermi gas is a gas consisting of fermions.
		We use the term "ground state" to refer to the state in which no fermions are excited to higher energy states beyond the Fermi energy.
		In astrophysics, white dwarf stars are prevented from collapsing upon themselves by the pressure of the Fermi gas and the resistance it gives to having its orbitals pushed together.
	www.sparknotes.com /physics/thermodynamics/gas/section2.rhtml (612 words)

	[No title]
		The lowest energy of CB is called the conduction band edge, denoted as Ec, and is equal to the top of energy gap; and the highest energy of VB is called the valence band egde, denoted as Ev, and is equal to the bottom of energy gap.
		However, energy states that are associated with the donor and acceptor impurities do exist within the gap, as well as the energy states that act as carrier traps or as recombination centers.
		Charge Carriers in Energy Bands of Extrinsic Semiconductor –; The relative concentration of electrons and holes in a semiconductor is controlled by the kind and concentration of chemical impurity atoms that are intentionally introduced (or doped) into the material during or after the crystal growth.
	jas.eng.buffalo.edu /education/semicon/fermi/bandAndLevel/intro.html (814 words)

	Enrico Fermi - DOE R&D Accomplishments
		Fermi moved to the University of Chicago to be in charge of the first major step in making feasible the building of the atomic bomb.
		Fermi's momentous accomplishments caused him to be recognized as one of the great scientists of the 20th century.
		Symposium with a retrospective focus on the period when Fermi was a faculty member at Chicago and laid the groundwork for the field of elementary particle physics.
	www.osti.gov /accomplishments/fermi.html (1056 words)

	Quick and Dirty Preview of Solid State Physics
		This is due to the Fermi energy and where it lies on the band structure.
		At everyday temperatures, the Fermi level blurs a bit due to the Fermi-Dirac distribution, but the Fermi energy itself can typically be used to estimate the conductivity.
		That is, the Fermi energy does not lie in a gap.
	www.pha.jhu.edu /~jeffwass/2ndYrSem/slide20.html (265 words)

	Fermi surface (Site not responding. Last check: 2007-10-10)
		The Fermi surface is defined as the locus of points in momentum space with zero excitation energy, that is, when the peak in the spectral function is at the chemical potentia.
		The topology of the Fermi surface is important in understanding the electronic properties of materials.
		The BiO layer on the surface of the sample is buckled, since the atoms are too large to be accomodated by the periodicity of the underlying structure.
	tigger.uic.edu /~jcc/fermi-surfaces.html (373 words)

	Fermi Energy Effects (Site not responding. Last check: 2007-10-10)
		Fermi Energy Effects on the Free Energy of Formation of Liquid Silver-Indium Alloys and on the Oxygen Solubility in these Alloys
		The same Fermi energy rise, again plus a small misfit part, serves to explain the oxygen activity coefficients.
		The misfit energies are estimated for O or In atoms in pure Ag, and for O or Ag in pure In, respectively, using a model of elastic distortion, and interpolated for the alloys.
	www.uni-kiel.de /phc/topics/fakt/fakt12.htm (232 words)

	Book review: The Fermi Age
		Fermi Remembered is the permanent record of that historic occasion, along with some new material added by Cronin.
		Along with essays on Fermi's life and scientific legacy are historic photographs of Fermi with famous colleagues.
		Within those hours Fermi inspired many physics students by his clear explanations of complex problems, wrote a steady stream of important scientific papers, helped establish the University of Chicago as the place for the study of high-energy physics, and -- as infrequently as possible -- served on committees.
	www.anl.gov /Media_Center/News/2004/Fermi_Remembered_041006.html (462 words)

	Fermi-level
		Think it's the energy level where the probability of finding a fermion for a system of fermions is 50%...
		The Fermi level is the temperature dependent 'chemical potential' of a fermionic substance.
		A "fermi level" is the highest energy of the valence electronic band at T=0 K. For a conductor, the fermi level is the highest energy of the conduction electron in the conduction band.
	www.physicsforums.com /showthread.php?p=355589 (793 words)

	[No title]
		What is the significance of the Fermi Energy at T=0 K? At T = 0 K, the Fermi energy is the energy below which all state are filled and above which all states are empty.
		The Fermi energy is the energy above which no states are filled at T=0.
		You are examining the spectrum of a star and determine that the most energy is emitted at a wavelength of 650 nm.
	www.usd.edu /phys/courses/phys431/exams/pracfkey.htm (442 words)

	More on Fermi Gas
		The energy distribution of the fermions in a Fermi gas in thermal equilibrium is determined by their density, the temperature and the set of available energy states, via Fermi-Dirac statistics.
		The maximum energy of the fermions at zero temperature is called the Fermi energy.
		The Fermi energy surface in momentum space is known as the Fermi surface.
	www.artilifes.com /fermi-gas.htm (491 words)

	Markus Greiner group web page at Harvard
		The binding energy of this weakly bound state is indicated by the lower left line.
		is the Fermi temperatures, and a is the interatomic scattering length.
		Fermi gas experiments are now actively exploring the region of the BCS-BEC crossover accessible via Feshbach resonance tuning of the interaction strength.
	physics.harvard.edu /~greiner/fermicondensates.html (3853 words)

	Statistical Thermodynamics
		The energy is strictly associated with the particle and does not consist even in part of heat or work.
		The thermal energy of a particle, whose energy depends quadratically on its velocity, equals kT/2 per degree of freedom, where k is Boltzmann's constant.
		This thermal energy is a kinetic energy, which must be added to the potential energy of the particle, and any other kinetic energy.
	ece-www.colorado.edu /~bart/book/book/chapter1/ch1_4.htm (979 words)

	Fermi distribution (Site not responding. Last check: 2007-10-10)
		Momentum states with energies that are much less than kT below the Fermi energy will remain occupied--that means that the distribution of the electrons over most of the states will not be altered.
		The Fermi distribution is significantly different from 1 or 0 only for energy levels within a few kT of the chemical potential.
		That is, energy levels far below the chemical potential are almost always occupied and energy levels far above the chemical potential are unoccupied.
	carini.physics.indiana.edu /p615/fermi-distr.html (1768 words)

	2.5 Carrier density and the fermi energy
		The Fermi-Dirac probability density function provides the probability that an energy level is occupied by a fermion which is in thermal equilibrium with a large reservoir.
		The Fermi function has a value of one for energies which are more than a few times kT below the Fermi energy, equals 1/2 if the energy equals the Fermi energy and decreases exponentially for energies which are a few times kT larger than the Fermi energy.
		Shown are the density per unit energy, n(E), (green curve) and the probability of occupancy, f(E), (blue curve).
	ece-www.colorado.edu /~bart/book/carriers.htm (1102 words)

	[No title]
		The neutron decay proceeds only until the electron concentration builds up enough to create a Fermi level of 0.8 MeV, at which point the neutron, proton, and electron concentrations are in equilibrium.
		Kinetic Energy of Electron Gas Show that the kinetic energy of a threedimensional gas of N electrons at 0K is: UO = (3/5)N(F, where (F is the Fermi energy.
		Fermi Gases in Astrophysics (a) Given that the mass of the sun is 2x1030 kg and assuming that the sun is pure hydrogen, estimate the number of ö¡—°¦`§ð¨Ð©«ÔÐ....()()))()()20(`(ð 4 [Assume heat capacity per number = 3NkB in high T limit, but C above is for heat capacity per volume: C = 3(N/V)kB.
	www.cbu.edu /~jholmes/P353/PART3.DOC (1340 words)

	Fermi–Dirac statistics - Wikipedia, the free encyclopedia
		F-D statistics was introduced in 1926 by Enrico Fermi and Paul Dirac and applied in 1926 by Ralph Fowler to describe the collapse of a star to a white dwarf and in 1927 by Arnold Sommerfeld to electrons in metals.
		Depending on the values of the energy for each state, it may be that total energy for some of these six combinations is the same as others.
		So if we know that the system has an energy of 5ε, we can conclude that it will be equally likely that it is in state C or state D. Note that if the particles were distinguishable (the classical case), there would be twelve microstates altogether, rather than six.
	en.wikipedia.org /wiki/Fermi-Dirac_statistics (1423 words)

	Britney Spears guide to Semiconductor Physics: Approximations for the Fermi Energy
		Below the Fermi energy the Fermi distribution is close to 1 and above the Fermi energy it is equal to zero.
		In this instance, the Fermi energy is negative relative to the bottom of the conduction band.
		The Fermi integral is shown in Figure 1 along with the limiting functions to show how well they approximate the Fermi integral.
	britneyspears.ac /physics/reference/fermi/fermiapprox.htm (440 words)

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