Lab 8 – EE 420L
Authored by: Daniel Senda
Email: sendad1@unlv.nevada.edu
Spring 2019
Due: 04-10-2019

 

1) Introduction

This lab introduces students to the process of characterizing MOSFETs using experimental data. In addition, it also goes over inverter delays and the process to characterize that too.

2) Pre-Lab Description

This pre-lab required the student to complete the following before proceeding with the lab:

-      Read the datasheet of the CMOS Dual Complementary Pair Plus Inverter chip (CD4007) and become familiar with it.

-      Understand how the bodies of the NMOS devices are connected to VSS (typically GND or the lowest potential in the circuit) and how the bodies of the PMOS devices are connected to VDD (typically 5V or the highest potential in the circuit). Also, note that VSS is pin 7 and that VDD is pin 14 on the chip.

3) Description of Lab Procedures

This lab instructs the student to utilize the CD4007 chip and not the CD4007UB chip. Due to no availability of the CD4007 chip, the professor let the students utilize the CD4007UB chip instead. The student was instructed to assume that the MOSFETs used in this lab will be powered by a +5V power supply. Furthermore, the devices should not be characterized at higher than +5V or lower than 0V ground potential.

The first task the student was assigned was to experimentally generate the following plots for the MOSFETs.

NMOS Device Plots:

1.     ID v. VGS (0 < VGS < 3 V) with VDS = 3 V.

 

2.     ID v. VDS (0 < VDS < 5 V) for VGS varying from 1 to 5 V in 1 V steps.

 

3.     ID v. VGS (0 < VGS < 5 V) with VDS = 5 V for VSB varying from 0 to 3 V in 1 V steps.

 

PMOS Device Plots:

1.     ID v. VSG (0 < VSG < 3 V) with VSD = 3 V.

 

2.     ID v. VSD (0 < VSD < 5 V) for VSG varying from 1 to 5 V in 1 V steps.

 

3.     ID v. VSG (0 < VSG < 5 V) with VSD = 5 V for VBS varying from 0 to 3 V in 1 V steps.

 

Following the measurements and plots, the student was required to calculate oxide thickness (tox) given the following.

Text Box: Given Variables:
L=5μm,     W=500μm,     C_ox=C_ox^' W*L=5pF
ϵ_ox=3.97(8.85aF/μm)=35.13pF/m

tox for both NMOS and PMOS was found using these equations:

Text Box: Calculations for tox:
〖C'〗_ox=C_ox/(W*L)=5p/(5μ*500μ)=2mF/m^2
t_ox=ϵ_ox/(C_ox^' )=35.13p/2m=17.57nm

The next lab procedure had the student crate a level = 1 MOSFET model using the previously recorded data. The level 1 model was required to have the following parameters in it: VTO, GAMMA, KP, LAMBDA, and TOX.

Text Box: Assumptions made by student:
q (Electronic Charge)=1.6*〖10〗^(-19)  C
ϵ_si (Silicon Dielectric Constant)=11.7(8.85aF/μm)=103.55pF/m
N_A (Number of acceptor atoms or Doping concentration)=〖10〗^16 atoms/cm^3
GAMMA (γ)=√(2q*ϵ_si 〖*N〗_A )/(C_ox^' )=√(2(1.6*〖10〗^(-19) )(103.55p)(〖10〗^16))/2m=〖0.288 V〗^(1/2)
Values extracted from plots and data:
V_THN=1.3V,          V_THP=1.6V
〖VTO〗_N=1.3V,          〖VTO〗_P=-1.6V
V_GS=3V,          V_SG=3V
I_(D1,sat)=1.6mA,          I_(D2,sat)=0.922mA
Calculated values:
KP_N=(2I_D1)/(W/L (V_GS-V_THN )^2 )=(2(1.6m))/(100(3-1.3)^2 )=11.07 μA/V^2
KP_P=(2I_D2)/(W/L (V_SG-V_THP )^2 )=(2(0.922m))/(100(3-1.6)^2 )=9.41μA/V^2
slope_N=(1.763-1.559)m/(5-1)=51μA/V
slope_P=(1.139-0.991)m/(5-2)=49μA/V
λ_N=(slope_N)/I_(D1,sat) =51μ/1.6m=0.0319V^(-1)
λ_P=(slope_P)/I_(D2,sat) =49μ/0.922m=0.0535V^(-1)

Using the calculated values, an LTspice model text file was created that will be used for simulations.

The next part of the lab required the student to simulate the circuits on LTspice to recreate the plots from the initial part of the lab.

NMOS Device Plots (LTspice):

1.                 ID v. VGS (0 < VGS < 3 V) with VDS = 3 V.

 

2.                 ID v. VDS (0 < VDS < 5 V) for VGS varying from 1 to 5 V in 1 V steps.

 

3.                 ID v. VGS (0 < VGS < 5 V) with VDS = 5 V for VSB varying from 0 to 3 V in 1 V steps.

 

PMOS Device Plots (LTspice):

1.                 ID v. VSG (0 < VSG < 3 V) with VSD = 3 V.

 

2.                 ID v. VSD (0 < VSD < 5 V) for VSG varying from 1 to 5 V in 1 V steps.

 

3.                 ID v. VSG (0 < VSG < 5 V) with VSD = 5 V for VBS varying from 0 to 3 V in 1 V steps.

 

The last part of the lab required the student to experimentally measure the delay of an inverter using the CD4007UB chip. In addition, the student is required to simulate the inverter in LTspice using the model created.

The student experimentally measured that the delay of the inverter is 18ns.
Oscilloscope image measuring delay:

The student lastly created the inverter circuit on LTspice and simulated it getting a delay of 9ns. The simulation result was off by a factor of 2.
LTspice Schematic:

LTspice simulation:

This concludes lab 8.

 

Additional Links

Return to listing of lab reports
Daniel’s CMOS homepage
Dr. Baker’s CMOS homepage