Thank you for your thoughtful question regarding the theoretical calculation of gas sensor sensitivity. This is indeed a crucial aspect when evaluating sensor performance, and I appreciate your interest in understanding the underlying principles.
To address your query, sensitivity in gas sensors typically refers to the degree of change in the sensor’s output (such as absorbance) in response to a change in gas concentration. The Beer-Lambert Law provides a useful framework for this relationship, where absorbance (A) is directly proportional to the product of molar absorptivity (ε), path length (l), and concentration (C):
A = ε × l × C
From this, sensitivity (S) can be defined as the change in absorbance per unit change in concentration (ΔA/ΔC). This means that, theoretically, the sensor’s sensitivity is determined by both the molar absorptivity of the gas and the optical path length within the sensor. A higher ε or a longer path length will result in greater sensitivity.
Does this approach align with your current understanding or the specific sensor system you are working with? I would be interested to hear how you visualize the impact of concentration changes on absorbance in your application, and whether there are additional factors you are considering.
Please let me know if you would like to discuss this further or if you have any specific scenarios in mind. I look forward to your insights.