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Equation 6 · Part 5 · How Advanced Semiconductor Fabrication Actually Works

Symbol C_dep

S=kTqln⁡(10)(1+CdepCox),S = \frac{kT}{q}\ln(10)\left(1 + \frac{C_{\mathrm{dep}}}{C_{\mathrm{ox}}}\right),
CdepC_{\mathrm{dep}}

What this part means

CdC_dep occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

CdC_dep occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…matters can be written down directly. A transistor’s subthreshold swing — how many millivolts of gate voltage it takes to change the drain current by a factor of ten — is well approximated by S=kTqln⁡(10)(1+CdepCox)S = \frac{kT}{q}\ln(10)\left(1 + \frac{C_{\mathrm{dep}}}{C_{\mathrm{ox}}}\right). where CdepC_{\mathrm{dep}} is the capacitance of the depletion region the gate does not fully control and CoxC_{\mathrm{ox}} is the gate’s own oxide capacitance. As CdepC_{\mathrm{dep}} falls toward zero, S falls toward its physical floor of about 60 millivolts per decade at room temperature. Wrapping the gate…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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