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The classical free electorn theory is not able to explain conductivity for semiconducter and insulators

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Elian Konopelski

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2y ago
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14y ago

In the atomic world, mechanics need to be reformulated via the Schrodinger Equation, and in the fast world, close to mother nature's speed limit (3.00 x 10^8 m/s ~ 186,000 mi/sec) time and space get sort of mixed up so light can travel at the same speed no matter how fast you go!

So Classical Mechanics is reformulated with Special and General Relativity and Quantum Mechanics.

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14y ago

Fails to explain stability of an atom

Explanation;

Electron moving round the nucleus, its energy should decrease (accelerated particle loss energy) according to classical mechanics and therefore velocity should decrease continuously and electron comes closer and closer to the nucleus until it collapses

Fails to explain the spectrum of hydrogen atom

Explanation;

According to classical mechanics an excited atom of hydrogen emit electromagnetic radiation in all the wavelength but in reality it is observed that they emit radiation of selected wavelength only

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If your take on general mechanics is indeed correct, and that there is some form of energy loss in the atom, then maybe a portion of the energy that would be assumed to be expressed as a wave is instead expressed as kinetic energy along the lateral?

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12y ago

rathfard is the basis of obserstion of his x-partical scrting experiement esbishated that at atom changed central part(called naulucs)which is surrourded by negivity changed and light electro.

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11y ago

1) Classical mechanics does not account for the fact that energy can only be exchanged by tiny packets of a given minimal energy. Therefore in classical mechanics the energy of a system can increase or decrease continuously, while in quantum mechanics it can only decrease and increase by tiny steps.

2) Classical mechanics does not account for the fact that particles behave like waves in some circumstances. Equivalently, one can talk about the introduction of the uncertainty principle that basiquely tells: "the more precisely you will measure a particle position, the less precisely you will measure its speed" and vice et versa. This is not seen as an observational limit due to the weakness of the instruments used or of the human operator, but as a fundamental one: nature seems to be built like that.

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Q: What are drawbacks of classical free electron theory?
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What is quantum free electron theory of metal?

Classical free electron theory could not explain many physical properties. In 1928, Sommerfeld developed a new theory applying quantum mechanical concepts and Fermi-Dirac statistics to the free electrons in the metal. This theory is called quantum free electron theory.


What is classical free electron theory of metal?

Classical free electron theory is modeled by drude - Lorentz to explian elctrical conductivity in metals. According to this free electron in a metal (valence electron) move randdomly at room temperature and these free electron are drifted in opposite to the direection of the applied electric field. This is repsonsible for the conduction. Here all the free elctron are are considered as equal in all aspect.


Why does the free electron theory fail to predict the semiconducting properties of materials?

Drawbacks of Classical free electron theory:1. It is macroscopic theory2. This theory cannot explain the electron conductivity ofsemiconductors and insulators.3. Ferromagnetism cannot be explained by this theory.4. This theory cannot explain the Photoelectric effect, Comptoneffect and the Black Body radiation.5. The calculated value of specific heat of metals is not matchingwith the experimental value.6. At low temperature, Lorentz number is not a constant. But by12classical theory it is a constant.7. Dual nature cannot be explained.8. Atomic fine spectra cannot be explained.9. Classical theory states that all the free electrons will absorbenergy, but quantum theory states that only few electrons willabsorb energy


Free-electron theory of metals is used for?

write note on free electron theory


What is the difference between free electron theory and nearly free electron theory?

free electron model not take into account the potential neither the electron interaction. nearly free electron take into account the potential.J.C. Aguiar


What is the main difference between Classical free Electron theory and Quantum free Electron theory?

Electrons are fermions and thus cannot occupy the same quantum states. They obey Fermi-Dirac statistics, and will occupy energy levels accordingly. This is different to the classica state where all electrons are pretty much equal (equal energies etc) and are not taken to be distrubuted amongst multiple states and energies. See Fermi Gas Model for a treatment of quantum free electron theory.


What is meant by electronic theory?

Electronic theory is the theory of the behavior of the electron under various conditions including a free electron, a bound electron in either an outer or inner orbit of the atom.


What is free electron theory assumptions?

according to classical free electron theory of electronsan atom contains an electrons in its outer most orbits and metal contains such type of atomsfree electrons moves randomly entire the volume of the metal like the gas molecules in containerwhile random motion of moving of electrons they collide with fixed positve ions or wiht themselves and the collisions formation due to collisions is elastic collosion that means there is no loss of energy.


Who was the author of the classical theory?

The classical theory in economics was developed by Adam Smith, often considered the "Father of Economics," in his seminal work "The Wealth of Nations" published in 1776. Smith's ideas form the foundation of classical economics and focused on the concepts of free markets, self-interest, and the invisible hand guiding market outcomes.


What are the advantages and disadvantages of classical free electron theory of metals?

Advantages: It provides a simple explanation for the electrical and thermal properties of metals, such as electrical conductivity and heat capacity. It also helps in understanding phenomena like the photoelectric effect. Disadvantages: It fails to explain certain phenomena at low temperatures, such as superconductivity, and does not consider the effects of electron-electron interactions. It also does not account for the quantization of energy levels that is observed in metals.


What are the drawbacks if any to free checking accounts?

In many cases there are no drawbacks. Other banks offer fewer services and higher penalty fees for free accounts.


What theory did Adam smith developed?

Invisible hand theory, the economy will regulate itself without government intervention