To find the effective density of states (DOS) values in cm-3 from a density of states graph given in eV, you need to consider the energy range corresponding to the conduction and valence bands. The effective density of states is typically defined as the number of energy states per unit energy per unit volume. Here's how you can approach it:
Determine the energy range: Identify the energy range corresponding to the conduction and valence bands on the density of states graph. The conduction band is typically associated with higher energy values, while the valence band is associated with lower energy values.
Calculate the DOS per unit energy: Calculate the difference in energy values between consecutive points on the graph within the energy range of interest. Divide the corresponding density of states (number of states per energy range) by this energy difference. This will give you the density of states per unit energy.
Convert to cm-3: Since you want the effective density of states in cm-3, you need to convert the density of states per unit energy to density of states per cm-3. To do this, you need to multiply the density of states per unit energy by a conversion factor that incorporates the volume of the material and the unit conversion from eV to cm-3.
The specific conversion factor will depend on the dimensionality of the material (e.g., bulk, thin film) and the effective mass model used. For example, for a bulk material, you can use the formula:
Effective DOS (cm-3) = Density of states per unit energy × Conversion factor
The conversion factor will include terms like the volume of the material, Avogadro's number, and other constants.
Regarding the relationship between thickness and bandgap of the active layer from a given UV-absorption graph, it's important to note that the UV-absorption graph provides information about the absorption properties of the material as a function of energy (wavelength).
Thickness: The absorption of light depends on the thickness of the material. In general, a thicker active layer will absorb more light compared to a thinner layer, assuming the other factors are constant. The absorption intensity typically follows Beer-Lambert's law, which states that the absorbance is proportional to the thickness of the material.
Bandgap: The bandgap of the active layer determines the minimum energy (maximum wavelength) required for light absorption to occur. If the energy of the incident light is below the bandgap energy, the material will not absorb the light. As the energy of the incident light exceeds the bandgap energy, absorption starts to occur.
By examining the UV-absorption graph, you can observe the wavelength or energy corresponding to the onset of absorption. This wavelength or energy value would correspond to the bandgap energy of the active layer. Additionally, the graph can provide information about the absorption behavior at different energies or wavelengths, indicating the material's absorption characteristics in the UV range.
Keep in mind that the relationship between thickness and bandgap in the active layer is not explicitly provided by the UV-absorption graph. The graph primarily informs you about the material's absorption behavior, while the thickness and bandgap are separate material parameters that influence light absorption.