L1 - Overview and Scaling Flashcards

(42 cards)

1
Q

What does MEMS stand for?

A

Micro Electro Mechanical Systems

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2
Q

What is the differnce between Micromechanics and MEMS?

A

Micromechanics are purely mechanical components. In MEMS they are implimented with some form of control electronics or electrical connection.

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3
Q

Define Microsystem

A

Silicon chips with non-conventional, non-mechanical functions and multichip systems

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4
Q

Define Nanosystems

A

Systems where nanoscale devices are intergrated (biological or molecular functionality)

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5
Q

What does NEMS stand for?

A

Nano Electro Mechanical Systems

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6
Q

How can Micromechanical sensors improve a devices redundancy?

A

Building 100 sensors on a chip might take the same fabrication as building just 1. So a lot of ‘spare’ or redundant devices can be made at little to no extra cost.

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7
Q

Why is Silicon such a common MEMS material?

A
  • Silicon semiconductor fabrication techniques and equipment can be utilised
  • Semiconductor technology is optimised for mass production
  • Allows for transducers on the same substrate as electrical circuitry. Saving space,reducing contacts and reducing noise.
  • Silicon is mechanically robust
  • Silicon is cheaply and readily available (because of its use in semiconductors)
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8
Q

Outline the steps involved in Bulk Micromachining

A
  1. Lay a photoresist over a silicon substrate
  2. Lay a mask over the photoresist
  3. Develop the photoresist
  4. Dissolve the undeveloped areas *

  • so the areas covered by the mask will be etched
    The sides of the etched area (usually) will not be vertical
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9
Q

outline the steps involved in Surface Micromachining

A
  1. Lay a sacrificial PSG layer over the silicon substrate
  2. Etch the PSG layer (in the Bulk Micromachining fashion)
  3. Lay a Polysilicon layer using vapor deposition
  4. Completely desolve the remaining PSG layer

the more common method today

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10
Q

Consider elements with a linear dimension L
As L varies state the scale with which the surface area will vary.

A

Surface Area scales at L^2

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11
Q

Consider elements with a linear dimension L
As L varies state the scale with which the volume will vary.

A

Volume scales at L^3

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12
Q

Consider elements with a linear dimension L
As L varies state the scale with which the mass will vary.

A

Mass scales at L^3

As density remains constant Mass will scale with Volume

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13
Q

Consider elements with a linear dimension L
As L varies state the scale with which the earths gravitation force will vary.

A

Force due to gravity scales at L^3

Fg = mg gravity is constant, F scales with mass which scales with volume

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14
Q

Consider elements with a linear dimension L
As L varies state the scale with which the pressure exerted by the element on the ground will vary.

A

Pressure due to gravity scales at L

Pressure = Force(Gravity) / SurfaceArea
L^3 / L^2

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15
Q

Consider elements with a linear dimension L
As L varies state the scale with which the earths gravitation force will vary.

A

Force due to gravity scales at L^3

Fg = mg gravity is constant, F scales with mass which scales with volume
Often in the Macro and Nano world gravitation is negligable.

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16
Q

Consider elements with a linear dimension L
As L varies state the scale with which the Van der Waal’s force will vary.

A

Force due to Van der Waal’s will scale at L^2

van der Walls is proportional to surface area

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17
Q

How does the relation between van der Wall’s force and gravity change due to scaling?
What effect will this cause?

A

Fg scales at L^3
Fvdw scales at L^2
Therefore their relation scales at L^-1
Fg will reduce faster at small scale, Fvdw willl dominate.
This can cause adheision between parts.

18
Q

Consider elements with a linear dimension L
As L varies state the scale with which Friction force will vary.

A

Friction force will scale at L^3

Ffr = u.Fgr = u.mg The friction and gravitation coefficients wont change so F is proportional to mass

19
Q

Consider elements with a linear dimension L
As L varies state the scale with which the spring Force will vary.

A

Fspring will scale at L

Fspring = -k.dL k is constant and dL (spring elongation) will scale with L

20
Q

Consider elements with a linear dimension L
As L varies state the scale with which the Spring Oscillation frequency will vary.

A

Spring oscillation frequency will scale at L^-3/2

21
Q

Consider elements with a linear dimension L
As L varies state the scale with which Reynolds Number will vary

A

Re varies with L²

Re = velosity∘length / viscosity
velocity ∝ L
length ∝ L

22
Q

Consider elements with a linear dimension L
As L varies state the scale with which Diffusion Time will vary

A

τ ∼ L²

Diffusion time = Length²/αD
α is a geometrical constant
D is the diffusion constant

23
Q

Consider elements with a linear dimension L
As L varies state the scale with which Thermal Conductance will vary.

A

Pdiss ~ ∝ L²

Power dissipation due to conductance is proportional to area.

24
Q

Consider elements with a linear dimension L
As L varies state the scale with which Time to cool will vary.

A

τ ∝ L²

Time to homogonise temperature

25
Consider elements with a linear dimension L As L varies state the scale with which the ratio of friction to Van der Waals will vary.
The Van der Waals forces are governed by the equation relating the distance, x, between two flat surfaces of Area, A, to the force exerted between them, with a constant, H, describing the medium between them. x will remain constant as the dimensions scale, H is per unit area of the plates so varies as S², so the force is proportional to the size of the surface areas. F ∝ L² Friction ∝ mass ∝ Volume ∝ L^3 Ratio Ff/Fvdw ∝ L At small scale Fvdw will dominate
26
Consider elements with a linear dimension L As L varies state the scale with which Magnetic Field in a solanoid will vary.
The magnetic field in a solenoid decreases as the area of the wire in the coil decreases, as the number of turns of wire can remain the same and the length will change in accordance with the scaling of the object. β = μiN/L ∝ L^-1 But only if current doesnt change. If the voltage stays the same, current will decrease with cross section area. β ∝ L²/L ∝L
27
Consider elements with a linear dimension L As L varies state the scale with which Magnetic Energy will vary.
The magnetic energy stored in the field is determined by the volume of the field. E = β²Volume/2μ E ∝ L²⋅L^3 = L^5
28
Consider elements with a linear dimension L As L varies state the scale with which Magnetic Force will vary.
F = β²A/2μ F ∝ L^4
29
Consider elements with a linear dimension L As L varies state the scale with which Electric Feild will vary.
E ∝ L^-1 Electric field is Volts per Meter
30
Consider elements with a linear dimension L As L varies state the scale with which Capacitance will vary.
C = ε0⋅A/d C ∝ L²/L C ∝ L
31
Consider elements with a linear dimension L As L varies state the scale with which Electric Potential Energy of a capacitor will vary.
U = 1/2 ⋅ C ⋅ V² If C ∝ L V ∝ L (electric field is constant) U ∝ L^3
32
Consider elements with a linear dimension L As L varies state the scale with which Surface Tension will vary.
γ = F / L γ ∝ L^-1 capillary action γ = hρgr / 2 γ ∝ L^2 ## Footnote HeightxDensityxGravityxRadius
33
How does the ratio between surface and volume change due to scaling?
For a sphere the ratio (SA/V) is 3/r the ratio will vary ∝ L^-1 So small objects have much greater surface areas reletive to their volume (and therefore mass)
34
The unit prefix 'm' is the standard unit multiplied by 10^?
milli 10^-3
35
The unit prefix 'μ' is the standard unit multiplied by 10^?
micro 10^-6
36
The unit prefix 'n' is the standard unit multiplied by 10^?
nano 10^-9
37
The unit prefix 'p' is the standard unit multiplied by 10^?
pico 10^-12
38
The unit prefix 'f' is the standard unit multiplied by 10^?
femto 10^-15
39
The unit prefix 'k' is the standard unit multiplied by 10^?
kilo 10^3
40
The unit prefix 'M' is the standard unit multiplied by 10^?
Mega 10^6
41
The unit prefix 'G' is the standard unit multiplied by 10^?
Giga 10^9
42
In moving MEMS mechanical structures, explain how scaling impacts moment of inertia?
L^5 As a product of M and r^2