B. Expressing the Equations (4.14)

or

(7.11) |

The following identities (7.8):

(7.12) |

allow to write as function of ,

(7.13) |

and as function of ,

(7.14) |

Starting with the fraction of (4.20) in dimensionless form , and putting in the definition of , leads to the term below:

Proceeding by substituting with (7.10) and with (7.10), and using the identity:

(7.16) |

the term (7.15) can be written as a function of and ,

(7.17) |

Expanding the brakets and reorganizing the expression results in:

(7.18) |

After substituting for the expression simplifies to:

(7.19) |

and can be reformulated to the term used in (4.22):

(7.20) |

T. Windbacher: Engineering Gate Stacks for Field-Effect Transistors