Midterm Exam for EE143: Microelectronics Engineering, Exams of Materials science

This is the midterm exam for ee143: microelectronics engineering from fall 1992 at the university of california, berkeley. The exam covers topics such as diffusion, vacuum deposition and etching, yield and cost, and design rules and alignment. Problem #1 focuses on finding the depth of the junction formed by boron and arsenic, and phosphorus and boron. Problem #2 deals with the pressure required to prevent the residual partial pressure of air from depositing oxygen during aluminum deposition and the difference in profile shape resulting from vertical and isotropic deposition. Problem #3 calculates the overall cost per good chip for a process with given defect densities and yields. Problem #4 sketches the cross-section of a device with misalignment errors and describes catastrophic failure mechanisms.

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EE143 Fall 1992
Midterm #2
A. R. Neureuther, Mansun Chen, Sang Yup Kim, David Newmark
Problem #1 (45 points) Diffusion
An emitter-base doping process is carried out on an arsenic doped substrate with 5x10^15 cm^-3 according to
a four step process flow of:
1 Implant Boron 3x10^13 cm^-2
2 Drive 1075 C 60 min
3 Implant Phosphorus 1x10^15 cm^-2
4 Drive 1025 C 120 min
a) Find the depth of the junction formed by boron and arsenic.
b) Find the depth of the junction formed by phosphorus and boron.
c) Suppose an additional phenomena of field enhanced diffusion occurs with the following characteristics. It
is only present at depths where one of the dopant concentrations exceeds n_i = 5x10^18 cm^-3. Here it
produces an electric field which increases by 2 or more the diffusion coefficient of all species of the same
type. This electric field also reduces the diffusion coefficient of all species of the opposite electrical type.
Indicate on the sketch how the distributions of boron, phosphorus and arsenic change with this effect.
Problem #2 (30 points) Vacuum, Deposition and Etching
a) To what pressure should the chamber be pumped down to prevent the residual partial pressure of air from
depositing 0.1% or less oxygen when aluminum is deposited at a rate of 0.2 um/min? Assume 21% of the
partial pressure of air is due to O2.
b) On a single sketch show the difference in profile shape resulting from vertical and isotropic deposition of
1.0 um of material over the initial profile shown below. Give dimensions and descriptions of profile
segments.
EE143, Midterm #2, Fall 1992
EE143 Fall 1992 Midterm #2 A. R. Neureuther, Mansun Chen, Sang Yup Kim, David Newmark 1
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EE143 Fall 1992

Midterm

A. R. Neureuther, Mansun Chen, Sang Yup Kim, David Newmark

Problem #1 (45 points) Diffusion

An emitter-base doping process is carried out on an arsenic doped substrate with 5x10^15 cm^-3 according to a four step process flow of: 1 Implant Boron 3x10^13 cm^- 2 Drive 1075 C 60 min 3 Implant Phosphorus 1x10^15 cm^- 4 Drive 1025 C 120 min

a) Find the depth of the junction formed by boron and arsenic.

b) Find the depth of the junction formed by phosphorus and boron.

c) Suppose an additional phenomena of field enhanced diffusion occurs with the following characteristics. It is only present at depths where one of the dopant concentrations exceeds n_i = 5x10^18 cm^-3. Here it produces an electric field which increases by 2 or more the diffusion coefficient of all species of the same type. This electric field also reduces the diffusion coefficient of all species of the opposite electrical type. Indicate on the sketch how the distributions of boron, phosphorus and arsenic change with this effect.

Problem #2 (30 points) Vacuum, Deposition and Etching

a) To what pressure should the chamber be pumped down to prevent the residual partial pressure of air from depositing 0.1% or less oxygen when aluminum is deposited at a rate of 0.2 um/min? Assume 21% of the partial pressure of air is due to O2.

b) On a single sketch show the difference in profile shape resulting from vertical and isotropic deposition of 1.0 um of material over the initial profile shown below. Give dimensions and descriptions of profile segments.

EE143 Fall 1992 Midterm #2 A. R. Neureuther, Mansun Chen, Sang Yup Kim, David Newmark 1

Problem #3 (30 points) Yield and Cost

a) A process consists of the sequential use of 5 modules. The chip area is 0.5 cm^2 and a 200mm wafer costs $1500 to process. Modules 1, 3 and 5 each have a defect density of 0.5 cm^-2. Modules 2 and 4 have yields of 0.80 and 0.70 respectively. What is the overall cost per good chip for the process?

b) Recommend a die area which will minimize the cost per working functionality. The cost is proportional to chip area. The yield is characterized by a defect density Do. The functionality is proportional to the chip area divided by the linewidth to the 2.5 power. The linewidth follows a trend of being inversely proportional to area.

Problem #4 (40 points) Design Rules and Alignment

A 4 mask self-aligned NMOS process uses the layout and alignment sequence shown. Poly aligns to Active with error T Contact aligns to Poly with error T Metal aligns to Contact with error T

The standard self-aligned process is given in Figure 1.5 pp. 8 of Jeager. Only go through the metal etch step.

a) Sketch the cross section of this device along the 'cut-line' AA' when misalignment has occured such that T1 is -1lambda, T2 is zero and T3 is +1lambda where all are measured along the horizontal direction in the layout.

Problem #2 (30 points) Vacuum, Deposition and Etching 2