POLYCRYSTALLINE SILICON || SILICON PEIZO RESISTORS || MODULE 4 || EC 465 || KTU MEMS || LECTURE 26
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Hi all, Today we are going to discuss two topics in this lecture, polycrystalline silicon and silicon pisor resistase.
First, let us look at polycrystalline silicon.
Silicon in polycrystalline form can be deposited onto silicon substrate by chemical vapour deposition.
If you have not studied in VLSI, then you must have studied CVD process or chemical vapour deposition.
Polycrystalline silicon in polycrystalline form can be deposited onto silicon substrate by chemical vapour deposition process.
It becomes a principal material in surface micromachining.
Low pressure CVD process is frequently used for depositing polycrystalline silicon onto silicon substrate.
Temperature involved in this process is about 600 to 650 degree celsius.
Polycrystalline silicon is widely used in IC industry for resistase, gates, transistors, thin film transistors etc.
Highly doped polycrystalline silicon and phosphorus for n-type and boron for p-type can drastically reduce resistivity of polycrystalline silicon to produce conductors and control switches.
Piso resistance is defined as a change in electrical resistance of solids when subjected to stress field.
Highly doped polycrystalline silicon and phosphorus for n-type and boron for p-type can drastically reduce resistivity of polycrystalline silicon to produce conductors and control switches.
Both p- and n-type silicon exhibit excellent piso resistive effect.
Delta R is equal to pi into sigma.
Delta R is equal to delta Rxx, Ryy, Rzz, Rxy, Rxz, Ryz, the whole transpose, which represents change of resistance in infinitesimally small cubical piso-resistive crystal element with coordinates corresponding to
Delta R is equal to delta Rxx, Ryy, Rzz, Rxy, Rxx, Ryz, the whole transpose, which represents change of resistance in infinitesimally small cubical piso-resistive crystal element with coordinates corresponding to
π is referred to Piezo resistive coefficient matrices
δ Riz equal to π x σ
delta R is equal to pi into sigma
delta R is the change in resistance
sigma is the change in resistance corresponding to stress component
sigma is the stress component
we have learnt that there are two types of stress components
normal stress and shear stress
sigma xx, sigma yy, sigma zz is the normal stress component
sigma xy, sigma xz, sigma yz is the shear stress component
what is pi?
pi is the change in resistance corresponding to stress component
we have written the equation and the corresponding change in resistance values
in the resistive coefficient matrix, pi 11 and pi 12 are associated with normal stress component
pi 44 is related to shear stress component
the actual values of these coefficients depend on the angles of piezo resistors with respect to silicon crystal lattice
we have used the equation 7.6 to get the figure
sigma yy, sigma xx, sigma zz is the normal stress component
sigma xy, sigma yz, sigma xz is the shear stress component
we have drawn the diagram corresponding to the equation
silicon piezo resistors are used in the form of strips in most of the applications of MEMS and micro resistors
this is a figure of that
in such cases, only the in-plane stresses in the x and y directions need to be accounted for
the change of electrical resistor in a silicon piezo resistor gauge can be expressed as
delta R divided by R is equal to pi L, sigma L plus pi T, sigma T
delta R and R are change in resistance and R is the original resistance
the value of original resistance R in the equation can be given either by
R is equal to Rho L by A
L and A are the length and cross sectional area of the piezo resistor
the stress components in the longitudinal and tangential direction are denoted as sigma L and sigma T
one major drawback of silicon piezo resistor is strong temperature dependence of their piezo resistivity
the sensitivity of piezo resistivity to the applied stress deteriorates rapidly with increase of temperature
the doping concentration of piezo resistivity should be kept below 10 rise to 19 per cm3
because the piezo resistivity coefficient drops considerably above this dose
and error based breakdown become an issue
the doping concentration of piezo resistivity should be kept below 10 rise to 19 per cm3
because the piezo resistivity coefficient drops considerably above this dose
and error based breakdown become an issue
the doping concentration of piezo resistivity should be kept below 10 rise to 19 per cm3
today we learnt about polycrystalline silicon and silicon piezo resistivity
I hope you understood these two topics
see you in the next lecture
thank you

