Debye - Article Index

Encyclopedia - Bessel Function: Encyclopedia - Bessel Function
In mathematics, Bessel functions, first defined by the Swiss mathematician Daniel Bernoulli and named after Friedrich Bessel, are canonic...   » Read the article

Encyclopedia - Peltier–seebeck Effect: Encyclopedia Ii - Peltier–seebeck Effect - Seebeck Effect
The Seebeck effect is the conversion of heat differences directly into electricity. This effect was first discovered, accidentally, by th...   » Read the article

Encyclopedia - Peter Debye: Encyclopedia Ii - Peter Debye - Early Life
Peter "Pie" Debye was born in Maastricht and after attending local schools in Maastricht went to the University of Aachen, Germany, only ...   » Read the article

Encyclopedia - Debye Model: Encyclopedia Ii - Debye Model - Derivation
The Debye model is a solid-state equivalent of Planck's law of black body radiation, where one treats electromagnetic radiation as a gas ...   » Read the article

Encyclopedia - Adiabatic Demagnetization: Encyclopedia Ii - Adiabatic Demagnetization - Basic Technique
The basic operating principle of an ADR is the use of a strong magnetic field to control the entropy of a sample of material, often calle...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Kinetic Theory And Motion
According to kinetic theory, there should be no movement of individual molecules at absolute zero, so any material at this temperature wo...   » Read the article

Encyclopedia - Scientific Units Named After People: Encyclopedia Ii - Scientific Units Named After People - Centimeter-gram-second System Of Units
Scientific units named after people - No longer in use. Franklin, electric charge – Benjamin Franklin ... See also:Scientific uni...   » Read the article

Encyclopedia - Bessel Function: Encyclopedia Ii - Bessel Function - Definitions
Since this is a second-order differential equation, there must be two linearly independent solutions. Depending upon the circumstances, h...   » Read the article

Encyclopedia - Lars Onsager: Encyclopedia Ii - Lars Onsager - His Life Before Coming To The United States
Lars Onsager was born in Christiania (now Oslo), Norway. His father was a lawyer. After completing secondary school in Oslo, he attended ...   » Read the article

Encyclopedia - Electric Field Screening: Encyclopedia Ii - Electric Field Screening - Electrostatic Screening
The first theoretical treatment of screening, due to Debye and Hückel (1923), dealt with a stationary point charge embedded in a fluid. ...   » Read the article

Encyclopedia - Peltier-seebeck Effect: Encyclopedia Ii - Peltier-seebeck Effect - Seebeck Effect
The Seebeck effect is the conversion of heat differences directly into electricity. This effect was first discovered, accidentally, by th...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Kinetic Theory And Motion
According to kinetic theory, there should be no movement of individual molecules at absolute zero, so any material at this temperature wo...   » Read the article

Encyclopedia - Lars Onsager: Encyclopedia Ii - Lars Onsager - At Brown
On leaving JHU, he took a position (involving the teaching of statistical mechanics to graduate students in chemistry) at Brown Universit...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Cryogenics
It can be shown from the laws of thermodynamics that absolute zero can never be achieved, though it is possible to reach temperatures arb...   » Read the article

Encyclopedia - Peltier–seebeck Effect: Encyclopedia Ii - Peltier–seebeck Effect - Thomson Effect
Thomson effect, named for William Thomson (Lord Kelvin), describes the heating or cooling of a current-carrying conductor with a temperat...   » Read the article

Encyclopedia - Scientific Units Named After People: Encyclopedia Ii - Scientific Units Named After People - Others
Scientific units named after people - No longer in use. Mercalli Intensity Scale, earthquake effects – Giuseppe Mercalli Degree Rank...   » Read the article

Encyclopedia - Peter Debye: Encyclopedia Ii - Peter Debye - Later Life
From 1934 to 1939 Debye was director of the prestigious Max Planck Institute in Berlin. In January 2006, documents surfaced that seem to ...   » Read the article

Encyclopedia - Debye Model: Encyclopedia Ii - Debye Model - Debye Versus Einstein
So how closely do the Debye and Einstein models correspond to experiment? -- Surprisingly close, but Debye is correct at low temperatures...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Absolute Temperature Scales
As mentioned, absolute or thermodynamic temperature is conventionally measured in Kelvins (Celsius-size degrees), and increasingly rarely...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Thermodynamics Near Absolute Zero
At 0 K, (nearly) all molecular motion ceases and ΔS = 0 for any adiabatic process. Pure substances can (ideally) form per...   » Read the article

Encyclopedia - Adiabatic Demagnetization: Encyclopedia Ii - Adiabatic Demagnetization - Implementations
Adiabatic demagnetization - Paramagnetic salts. The simplest choice of refrigerant is a sample of a paramagnetic salt, such as cerium m...   » Read the article

Encyclopedia - Peltier–seebeck Effect: Encyclopedia Ii - Peltier–seebeck Effect - Peltier Effect
The Peltier effect is the reverse of the Seebeck effect; a creation of a heat difference from an electric voltage. It occurs when a curre...   » Read the article

Encyclopedia - Peltier–seebeck Effect: Encyclopedia Ii - Peltier–seebeck Effect - Thomson Effect
Thomson effect, named for William Thomson, 1st Baron Kelvin, describes the heating or cooling of a current-carrying conductor with a temp...   » Read the article

Encyclopedia - Peltier-seebeck Effect: Encyclopedia Ii - Peltier-seebeck Effect - Thomson Effect
Thomson effect, named for William Thomson, 1st Baron Kelvin, describes the heating or cooling of a current-carrying conductor with a temp...   » Read the article

Encyclopedia - Peltier-seebeck Effect: Encyclopedia Ii - Peltier-seebeck Effect - Peltier Effect
The Peltier effect is the reverse of the Seebeck effect; a creation of a heat difference from an electric voltage. It occurs when a curre...   » Read the article

Encyclopedia - Bessel Function: Encyclopedia Ii - Bessel Function - Asymptotic Forms
The Bessel functions have the following asymptotic forms. For small arguments 0 < x << 1, one obtains: where α is non-neg...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Cryogenics
It can be shown from the laws of thermodynamics that absolute zero can never be achieved, though it is possible to reach temperatures arb...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Thermodynamics Near Absolute Zero
At 0 K, (nearly) all molecular motion ceases and ΔS = 0 for any adiabatic process. Pure substances can (ideally) form per...   » Read the article

Encyclopedia - Debye Model: Encyclopedia Ii - Debye Model - Low Temperature Limit
The temperature of a Debye solid is said to be low if , leading to This definite integral can be evaluated exactly: In the low temp...   » Read the article

Encyclopedia - Debye Model: Encyclopedia Ii - Debye Model - Debye's Derivation
Actually, Debye derived his equation somewhat differently and more simply. Using the solid mechanics of a continuous medium, he found tha...   » Read the article

Encyclopedia - Bessel Function: Encyclopedia Ii - Bessel Function - Applications
Bessel's equation arises when finding separable solutions to Laplace's equation and the Helmholtz equation in cylindrical or spherical co...   » Read the article

Encyclopedia - Absolute Zero: Encyclopedia Ii - Absolute Zero - Absolute Temperature Scales
As mentioned, absolute or thermodynamic temperature is conventionally measured in Kelvins (Celsius-size degrees), and increasingly rarely...   » Read the article

Encyclopedia - Debye Model: Encyclopedia Ii - Debye Model - High Temperature Limit
The temperature of a Debye solid is said to be high if T > > TD. if | x | < < 1, leads to This is the Dulong-Petit law...   » Read the article