tidy3d.VarshniEnergyBandGap

tidy3d.VarshniEnergyBandGap#

class VarshniEnergyBandGap[source]#

Bases: Tidy3dBaseModel

Models the temperature dependence of the energy band gap (Eg) using the Varshni formula.

Parameters:

attrs (dict = {}) – Dictionary storing arbitrary metadata for a Tidy3D object. This dictionary can be freely used by the user for storing data without affecting the operation of Tidy3D as it is not used internally. Note that, unlike regular Tidy3D fields, attrs are mutable. For example, the following is allowed for setting an attr obj.attrs['foo'] = bar. Also note that Tidy3D will raise a TypeError if attrs contain objects that can not be serialized. One can check if attrs are serializable by calling obj.json().
eg_0 (PositiveFloat) – [units = eV]. Energy band gap at absolute zero (0 Kelvin).
alpha (PositiveFloat) – [units = eV/K]. Empirical Varshni coefficient (α).
beta (PositiveFloat) – [units = K]. Empirical Varshni coefficient (β), related to the Debye temperature.

Notes

The model implements the following formula:

\[E_g(T) = E_g(0) - \frac{\alpha T^2}{T + \beta}\]

Example

>>> # Parameters for Silicon (Si)
>>> si_model = VarshniEnergyBandGap(
...     eg_0=1.17,
...     alpha=4.73e-4,
...     beta=636.0,
... )

References

Varshni, Y. P. (1967). Temperature dependence of the energy gap in semiconductors. Physica, 34(1), 149-154.

Attributes

Methods

Inherited Common Usage