Klaassen Unified Mobility Model (LIC)
The Klaassen Unified Mobility Model (LIC) (sometimes referred to as Philips Unified Mobility Model) subnode is available from the context menu (right-click the Semiconductor Material Model parent node) or from the Physics toolbar, Attributes menu. Use it to simulate the combined effects of lattice (phonon) scattering (indicated by the ‘L’ in the parenthesis), impurity scattering (‘I’ in the parenthesis), and carrier–carrier scattering (‘C’ in the parenthesis). Screening of the impurities by the charge carriers and clustering of impurities at high doping levels are also taken into account. The Klaassen unified mobility model involves many parameters. The set of equations defining the model is shown in the Equation section in the graphical user interface.
Domain Selection
Usually the mobility model selection should not be changed from that of the parent node Semiconductor Material Model.
Parameters
For each of the following properties the default takes values From material, or for User defined enter a different value or expression in the text field.
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 Reference temperature Tref (SI unit: K). The default is 300 K.
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 Klaassen max electron mobility μe,max (SI unit: m2/(V⋅s)). The default is for silicon 1414.0 cm2/(V⋅s).
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 Klaassen max hole mobility μh,max (SI unit: m2/(V⋅s)). The default is for silicon 470.5 cm2/(V⋅s).
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 Klaassen lattice mobility electron exponent θe (dimensionless). The default is for silicon 2.285.
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 Klaassen lattice mobility hole exponent θh (dimensionless). The default is for silicon 2.247.
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 Klaassen min electron mobility μe,min (SI unit: m2/(V⋅s)). The default is for silicon 68.5 cm2/(V⋅s).
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 Klaassen min hole mobility μh,min (SI unit: m2/(V⋅s)). The default is for silicon 44.9 cm2/(V⋅s).
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 Klaassen dopant and carrier mobility electron exponent αe,1 (dimensionless). The default is for silicon 0.711.
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 Klaassen dopant and carrier mobility hole exponent αh,1 (dimensionless). The default is for silicon 0.719.
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 Klaassen electron reference density Nref,e,1 (SI unit: 1/m3). The default value is for silicon (9.20·1016 1/cm3).
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 Klaassen hole reference density Nref,h,1 (SI unit: 1/m3). The default value is for silicon (2.23·1017 1/cm3).
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 Klaassen cluster function donor coefficient cD (dimensionless). The default is for silicon 0.21.
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 Klaassen cluster function acceptor coefficient cA (dimensionless). The default is for silicon 0.50.
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 Klaassen cluster function donor reference density Nref,D (SI unit: 1/m3). The default value is for silicon (4.0·1020 1/cm3).
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 Klaassen cluster function acceptor reference density Nref,A (SI unit: 1/m3). The default value is for silicon (7.2·1020 1/cm3).
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 Klaassen P parameter BH weight fBH (dimensionless). The default is for silicon 3.828.
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 Klaassen P parameter CW weight fCW (dimensionless). The default is for silicon 2.459.
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 Klaassen P parameter BH prefactor NBH (SI unit: 1/m3). The default value is for silicon (1.36·1020 1/cm3).
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  Klaassen P parameter CW prefactor PCW (dimensionless). The default value is for silicon (3.97·1013).
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 Klaassen electron mobility mass me (SI unit: kg). The default value is for silicon (me_const).
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 Klaassen hole mobility mass mh (SI unit: kg). The default value is for silicon (1.258*me_const).
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 Klaassen 1st ~ 7th s parameters s1 ~ s7 (dimensionless). The default values are for silicon (0.89233, 0.41372, 0.19778, 0.28227, 0.005978, 1.80618, 0.72169).
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 Klaassen 1st ~ 6th r parameters r1 ~ r6 (dimensionless). The default values are for silicon (0.7643, 2.2999, 6.5502, 2.3670, −0.01552, 0.6478).
Mobility Models and Theory for the Klaassen unified mobility model (LIC)