# Some question about Maxwell-Boltzmann statistics

• Nicky302
In summary, the conversation discusses degenerately doped semiconductors and the values of Nd and Na needed to obtain a degenerately doped N- and P-type silicon. It also mentions the location of the Fermi level in these semiconductors and the effect on the ionisation probability of dopant atoms.
Nicky302
alright i juz want to say I am stucked in examples problem, the question is:

A semiconductor is said to be degenerately doped when n>-Nc or p>-Nv. assuming Maxwell Boltzmann statistics, determine the values of Nd and Na needed to obtain degenerately doped N- and P- type silicon. Where is the Fermi Level in a degenerately doped N-type and P-Type semiconductor? What happens to the ionisation probability of the dopant atoms?

well i don't know the complete answer but i just know that in case of denerate N type semiconductor , fermi level moves into the conduction band. While in case of P type semiconductor it moves into valence band.

## What is Maxwell-Boltzmann statistics?

Maxwell-Boltzmann statistics is a mathematical model used to describe the distribution of particle speeds in a gas at a given temperature. It is based on the assumptions of classical mechanics and is often used in statistical mechanics to study the behavior of gases.

## What is the significance of Maxwell-Boltzmann statistics?

Maxwell-Boltzmann statistics is important because it allows us to understand and predict the behavior of gases at different temperatures. It also helps us to understand the relationship between temperature and the distribution of particle speeds in a gas.

## How does Maxwell-Boltzmann statistics differ from other statistical distributions?

Maxwell-Boltzmann statistics differs from other statistical distributions in that it is specifically designed to model the behavior of gases. It takes into account the mass and velocity of gas particles, as well as the temperature of the gas, to determine the most probable distribution of particle speeds.

## What are the assumptions of Maxwell-Boltzmann statistics?

The assumptions of Maxwell-Boltzmann statistics include the particles in the gas being identical, point-like, and non-interacting. It also assumes that the gas is in thermal equilibrium and that the temperature is constant throughout the gas.

## How is Maxwell-Boltzmann statistics applied in real-world situations?

Maxwell-Boltzmann statistics is used in a variety of fields, such as physics, chemistry, and engineering, to study the behavior of gases at different temperatures. It is also used in the design and optimization of gas-based technologies, such as combustion engines and refrigeration systems.

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