How to identify the ratio of the cross sectio of capture and recombination

[puluoning]

Sometimes we need to know the ratio of the capture section and recocmbination cross section of the electron or hole. for example, to identify the mechanism of phosphors, it's very important to know the ratio to analyze the process of luminescence. The question is how we identify the ratio, from the experiments or from the calculation? By the way, whether the ratio of the concentration of one kind of impurity (which functions as trap) and another kind of impurity(which is to serve as another impurity level for the recombination of electrons and holes) decides the ratio of these two cross section, thank you!

 

[BigJDubs]

The ratio of the capture section and recocmbination cross section of the electron or hole can be determined experimentally by measuring the lifetimes of the electrons and holes. The ratio can also be calculated theoretically from the parameters of the materials, such as the band structure and the effective mass of the electrons and holes. The concentration of impurities does not determine the ratio of these two cross sections.

 

[charng]

I would approach this question by first understanding the concept of cross sections in relation to electron and hole capture and recombination. A cross section is a measure of the probability of a particular interaction occurring between particles or molecules. In this case, the cross section of capture refers to the likelihood of an electron or hole being captured by an impurity in the material, while the recombination cross section refers to the probability of the electron and hole recombining to emit light.

To identify the ratio of these two cross sections, there are several methods that can be used. One approach is through experimental measurements. This involves conducting experiments on the material and measuring the rates of electron and hole capture and recombination. By comparing these rates, we can calculate the ratio of the cross sections.

Another approach is through theoretical calculations. This involves using mathematical models and equations to predict the ratio of the cross sections based on the properties of the material and the impurities present. This method can also be used to analyze the process of luminescence and identify the mechanism of phosphors.

As for the question of whether the ratio of impurity concentrations affects the ratio of cross sections, it is possible that it could have an impact. The concentration of impurities can influence the availability of trapping sites for electrons and holes, which in turn can affect the rates of capture and recombination. However, this would depend on the specific properties of the impurities and their interactions with the electrons and holes in the material.

In conclusion, the ratio of the capture and recombination cross sections can be identified through both experimental measurements and theoretical calculations. The concentration of impurities may also play a role in determining this ratio, but further research and analysis would be needed to fully understand the relationship between these factors.