# SemiconductorLinearConductivity

!syntax description /Materials/SemiconductorLinearConductivity The [Steinhart-Hart equation](https://en.wikipedia.org/wiki/Steinhart%E2%80%93Hart_equation) is an empirical model for temperature dependent electrical resistance for semiconductors. It is used in thermistor industry since it provides better expression of the temperature-resistance relationship. $$\frac{1}{T}=A+B\ln(R)+C(\ln(R))^3$$ where R is the resistance and T is the temperature in Kelvins. $\sigma$, the electrical conductivity, equals to 1/R. A, B, and C are the Steinhart-Hart coefficients. For some intrinsic semiconductor materials, the log conductivity is a linear function of 1/T that the coefficient C = 0 (ref: "Introduction to Ceramics" by Kingery). This model is for those materials only.

For conductivity data in vs (1) where .

For the derivatives with respect to T: (2)

(3)

(4)

## Input Parameters

• sh_coeff_ASteinhart_Hart coefficient A of the material

C++ Type:double

Description:Steinhart_Hart coefficient A of the material

• sh_coeff_BSteinhart_Hart coefficient B of the material.

C++ Type:double

Description:Steinhart_Hart coefficient B of the material.

• tempVariable for temperature in Kelvin.

C++ Type:std::vector

Description:Variable for temperature in Kelvin.

### Required Parameters

• boundaryThe list of boundary IDs from the mesh where this boundary condition applies

C++ Type:std::vector

Description:The list of boundary IDs from the mesh where this boundary condition applies

• computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.

Default:True

C++ Type:bool

Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.

• blockThe list of block ids (SubdomainID) that this object will be applied

C++ Type:std::vector

Description:The list of block ids (SubdomainID) that this object will be applied

• base_nameMaterial property base name

C++ Type:std::string

Description:Material property base name

### Optional Parameters

• enableTrueSet the enabled status of the MooseObject.

Default:True

C++ Type:bool

Description:Set the enabled status of the MooseObject.

• use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Default:False

C++ Type:bool

Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

• control_tagsAdds user-defined labels for accessing object parameters via control logic.

C++ Type:std::vector

Description:Adds user-defined labels for accessing object parameters via control logic.

• seed0The seed for the master random number generator

Default:0

C++ Type:unsigned int

Description:The seed for the master random number generator

• implicitTrueDetermines whether this object is calculated using an implicit or explicit form

Default:True

C++ Type:bool

Description:Determines whether this object is calculated using an implicit or explicit form

• constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

Default:NONE

C++ Type:MooseEnum

Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped

• output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)

C++ Type:std::vector

Description:List of material properties, from this material, to output (outputs must also be defined to an output type)

• outputsnone Vector of output names were you would like to restrict the output of variables(s) associated with this object

Default:none

C++ Type:std::vector

Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object