Podcast
Questions and Answers
Within the context of advanced semiconductor device fabrication, what is the most critical implication of emitter diffusion using polysilicon in the presence of ultra-thin gate oxides?
Within the context of advanced semiconductor device fabrication, what is the most critical implication of emitter diffusion using polysilicon in the presence of ultra-thin gate oxides?
- Mitigation of boron penetration through the gate oxide, ensuring long-term reliability and stability of the MOS transistor.
- Unintentional doping of the channel region, leading to compromised threshold voltage control and increased subthreshold leakage. (correct)
- Formation of a precisely controlled heterojunction at the polySi-Si interface, optimizing band alignment for efficient carrier injection.
- Enhanced channel mobility due to reduced surface scattering effects, thereby improving overall transistor performance.
Considering a heterojunction formed between polysilicon and single-crystal silicon in a modern MOS transistor, what is the most significant advantage conferred by this structure in the context of emitter diffusion?
Considering a heterojunction formed between polysilicon and single-crystal silicon in a modern MOS transistor, what is the most significant advantage conferred by this structure in the context of emitter diffusion?
- Suppression of hot carrier effects through enhanced heat dissipation at the interface between the two materials.
- Reduction of gate-induced drain leakage (GIDL) by modulating the electric field at the drain-gate overlap region.
- Augmentation of emitter efficiency due to optimized bandgap engineering and carrier confinement at the interface. (correct)
- Improvement of the gate oxide integrity by passivating interface traps and defects, enhancing device lifespan.
In gallium arsenide (GaAs) diffusion processes, which factor would most critically limit the achievable doping profile abruptness and overall junction depth control, assuming all other parameters are optimized?
In gallium arsenide (GaAs) diffusion processes, which factor would most critically limit the achievable doping profile abruptness and overall junction depth control, assuming all other parameters are optimized?
- The surface segregation coefficient of the dopant at the GaAs surface during annealing.
- The presence of a capping layer that impedes out-diffusion of arsenic during high-temperature processing.
- The stoichiometry of the GaAs substrate, affecting the concentration of native point defects.
- The intrinsic diffusion coefficient of the chosen dopant species at the specified process temperature. (correct)
When employing polysilicon as a diffusion source to achieve degenerately doped regions in silicon-based devices, which phenomenon presents the most substantial challenge in maintaining device performance and reliability?
When employing polysilicon as a diffusion source to achieve degenerately doped regions in silicon-based devices, which phenomenon presents the most substantial challenge in maintaining device performance and reliability?
Considering the use of $10^{21} cm^{-3}$ phosphorus doping via emitter diffusion for creating a degenerately doped region, what quantum mechanical effect becomes most prominent and influences device behavior at this doping concentration?
Considering the use of $10^{21} cm^{-3}$ phosphorus doping via emitter diffusion for creating a degenerately doped region, what quantum mechanical effect becomes most prominent and influences device behavior at this doping concentration?
In a combined diffusion process involving interstitial and substitutional diffusion, governed by concentrations $N_I$ and $N_S$ respectively, under what conditions will the effective diffusion coefficient most closely approximate that of pure interstitial diffusion?
In a combined diffusion process involving interstitial and substitutional diffusion, governed by concentrations $N_I$ and $N_S$ respectively, under what conditions will the effective diffusion coefficient most closely approximate that of pure interstitial diffusion?
Consider a semiconductor material undergoing combined diffusion, with both interstitial and substitutional mechanisms active. Assuming the dissociation rate from lattice sites to interstitial sites is significantly slower than both interstitial migration and re-incorporation, which of the following most accurately describes its rate-limiting effect on the overall diffusion process?
Consider a semiconductor material undergoing combined diffusion, with both interstitial and substitutional mechanisms active. Assuming the dissociation rate from lattice sites to interstitial sites is significantly slower than both interstitial migration and re-incorporation, which of the following most accurately describes its rate-limiting effect on the overall diffusion process?
In a scenario where combined diffusion within a semiconductor exhibits an effective jump frequency ($S_{eff}$) modeled as $S_{eff} = \frac{S \cdot N_S}{N_I + N_S} + \frac{I \cdot N_I}{N_I + N_S}$, what theoretical condition would maximize the contribution of substitutional diffusion to $S_{eff}$ while maintaining a non-zero interstitial diffusion component?
In a scenario where combined diffusion within a semiconductor exhibits an effective jump frequency ($S_{eff}$) modeled as $S_{eff} = \frac{S \cdot N_S}{N_I + N_S} + \frac{I \cdot N_I}{N_I + N_S}$, what theoretical condition would maximize the contribution of substitutional diffusion to $S_{eff}$ while maintaining a non-zero interstitial diffusion component?
For a combined diffusion process in a semiconductor, consider a scenario where the migration energy barrier for interstitial diffusion is significantly lower than the energy required for an atom to dissociate from a lattice site. How does this disparity in energy barriers affect the temperature dependence of the effective diffusion coefficient?
For a combined diffusion process in a semiconductor, consider a scenario where the migration energy barrier for interstitial diffusion is significantly lower than the energy required for an atom to dissociate from a lattice site. How does this disparity in energy barriers affect the temperature dependence of the effective diffusion coefficient?
In the context of combined diffusion, what implications arise if the interstitial sites possess a notably higher capture cross-section for impurities compared to the lattice sites during diffusion processes at elevated temperatures?
In the context of combined diffusion, what implications arise if the interstitial sites possess a notably higher capture cross-section for impurities compared to the lattice sites during diffusion processes at elevated temperatures?
Consider a combined diffusion process where the crystal lattice contains pre-existing vacancies. How would these vacancies influence the substitutional component of the diffusion, and what effect would this have on the overall diffusion kinetics considering the interstitial mechanism remains unchanged?
Consider a combined diffusion process where the crystal lattice contains pre-existing vacancies. How would these vacancies influence the substitutional component of the diffusion, and what effect would this have on the overall diffusion kinetics considering the interstitial mechanism remains unchanged?
Assuming a combined diffusion process occurs under conditions of extreme hydrostatic pressure, and the activation volume for interstitial diffusion is significantly smaller (more negative) than that for substitutional diffusion, predict how the ratio of interstitial to substitutional flux ($J_I / J_S$) will change as pressure increases isothermally.
Assuming a combined diffusion process occurs under conditions of extreme hydrostatic pressure, and the activation volume for interstitial diffusion is significantly smaller (more negative) than that for substitutional diffusion, predict how the ratio of interstitial to substitutional flux ($J_I / J_S$) will change as pressure increases isothermally.
Considering the two-dimensional solution of Fick's 2nd law for a line source diffusion, how does the concentration $C(r,t)$ change if the diffusion coefficient $D$ is quadrupled, assuming all other parameters remain constant?
Considering the two-dimensional solution of Fick's 2nd law for a line source diffusion, how does the concentration $C(r,t)$ change if the diffusion coefficient $D$ is quadrupled, assuming all other parameters remain constant?
In the context of diffusion through a mask, what is the most significant consequence of lateral infiltration of the mask edges relative to the depth, especially considering the concentration dependence of the diffusion coefficient $D$?
In the context of diffusion through a mask, what is the most significant consequence of lateral infiltration of the mask edges relative to the depth, especially considering the concentration dependence of the diffusion coefficient $D$?
How does the behavior of dopant diffusion at the edge of a diffusion mask differ between an unlimited source and a limited source, with respect to their impact on the resulting doping profile and device characteristics?
How does the behavior of dopant diffusion at the edge of a diffusion mask differ between an unlimited source and a limited source, with respect to their impact on the resulting doping profile and device characteristics?
In the context of semiconductor diffusion, what are the potential ramifications of a shifted p-n junction due to anomalies in the diffusion process, particularly concerning the performance and reliability of microelectronic devices?
In the context of semiconductor diffusion, what are the potential ramifications of a shifted p-n junction due to anomalies in the diffusion process, particularly concerning the performance and reliability of microelectronic devices?
How might an increase in contact resistance, specifically the formation of a Schottky contact due to diffusion anomalies, influence the operational characteristics of a bipolar junction transistor (BJT)?
How might an increase in contact resistance, specifically the formation of a Schottky contact due to diffusion anomalies, influence the operational characteristics of a bipolar junction transistor (BJT)?
Considering Fick's second law, how does the concentration-dependent diffusion coefficient $D$ influence the evolution of a doping profile over time, particularly concerning the formation of abrupt versus graded junctions?
Considering Fick's second law, how does the concentration-dependent diffusion coefficient $D$ influence the evolution of a doping profile over time, particularly concerning the formation of abrupt versus graded junctions?
In the context of diffusion masks and dopant sources, what is the subtle relationship between diffusion depth and lateral infiltration beneath the mask, specifically concerning the potential for electrical parameter variation in nanoscale devices?
In the context of diffusion masks and dopant sources, what is the subtle relationship between diffusion depth and lateral infiltration beneath the mask, specifically concerning the potential for electrical parameter variation in nanoscale devices?
Considering the sinking of dopant concentration observed at the edge of a diffusion mask, how could advanced process simulation techniques be employed to mitigate its effects, thereby enhancing the uniformity of doping profiles in modern semiconductor manufacturing?
Considering the sinking of dopant concentration observed at the edge of a diffusion mask, how could advanced process simulation techniques be employed to mitigate its effects, thereby enhancing the uniformity of doping profiles in modern semiconductor manufacturing?
Given the implications of anomalies in diffusion behavior on semiconductor device performance, how could spatially-resolved deep-level transient spectroscopy (DLTS) and atom probe tomography (APT) be synergistically employed to characterize and mitigate these anomalies at the nanoscale?
Given the implications of anomalies in diffusion behavior on semiconductor device performance, how could spatially-resolved deep-level transient spectroscopy (DLTS) and atom probe tomography (APT) be synergistically employed to characterize and mitigate these anomalies at the nanoscale?
If arsine (AsH3) is used as a gaseous dopant source, what is the primary concern regarding its application in semiconductor processing, and how is this concern typically addressed?
If arsine (AsH3) is used as a gaseous dopant source, what is the primary concern regarding its application in semiconductor processing, and how is this concern typically addressed?
In the context of doping from oxide wafers on a carrier system, what fundamental limitation arises when utilizing diborane (B2H6) as the boron source?
In the context of doping from oxide wafers on a carrier system, what fundamental limitation arises when utilizing diborane (B2H6) as the boron source?
Consider a scenario where phosphine (PH3) is employed as the phosphorus source in a diffusion process. If the oxygen concentration deviates significantly from the optimal range (3-10 vol%), what consequential effects are most likely to manifest?
Consider a scenario where phosphine (PH3) is employed as the phosphorus source in a diffusion process. If the oxygen concentration deviates significantly from the optimal range (3-10 vol%), what consequential effects are most likely to manifest?
In a chemical vapor deposition (CVD) reactor utilizing arsine (AsH3) as the arsenic source, how does the presence of moisture, even at trace levels, impact the overall doping efficiency and uniformity, and what countermeasures can be implemented?
In a chemical vapor deposition (CVD) reactor utilizing arsine (AsH3) as the arsenic source, how does the presence of moisture, even at trace levels, impact the overall doping efficiency and uniformity, and what countermeasures can be implemented?
In the context of reactor design for liquid phase diffusion using diborane (B2H6), contrast the implications of employing a closed-tube versus an open-tube configuration with respect to dopant source replenishment and process control.
In the context of reactor design for liquid phase diffusion using diborane (B2H6), contrast the implications of employing a closed-tube versus an open-tube configuration with respect to dopant source replenishment and process control.
When employing phosphine (PH3) for ultra-shallow junction formation, what advanced techniques can mitigate the challenges associated with transient enhanced diffusion (TED) and channeling effects, and what are the underlying physical principles?
When employing phosphine (PH3) for ultra-shallow junction formation, what advanced techniques can mitigate the challenges associated with transient enhanced diffusion (TED) and channeling effects, and what are the underlying physical principles?
In a system utilizing arsine gas, what advanced strategies can be employed to enhance the uniformity of arsenic doping across large-diameter silicon wafers, especially when dealing with non-uniform gas flow dynamics within the reactor chamber?
In a system utilizing arsine gas, what advanced strategies can be employed to enhance the uniformity of arsenic doping across large-diameter silicon wafers, especially when dealing with non-uniform gas flow dynamics within the reactor chamber?
Diborane (B2H6) is used for Boron doping. Describe the implications of using isotopically enriched 10B diborane versus naturally abundant diborane (containing both 10B and 11B isotopes) on the performance and reliability of advanced semiconductor devices.
Diborane (B2H6) is used for Boron doping. Describe the implications of using isotopically enriched 10B diborane versus naturally abundant diborane (containing both 10B and 11B isotopes) on the performance and reliability of advanced semiconductor devices.
In the realm of doping using gaseous sources, examine novel strategies for in-situ monitoring and control of dopant incorporation during epitaxial growth. How can real-time feedback mechanisms leveraging advanced sensing technologies optimize doping profiles and film quality?
In the realm of doping using gaseous sources, examine novel strategies for in-situ monitoring and control of dopant incorporation during epitaxial growth. How can real-time feedback mechanisms leveraging advanced sensing technologies optimize doping profiles and film quality?
Considering the safety protocols associated with using highly toxic dopant gases, what are the critical engineering considerations for designing a state-of-the-art gas handling system to mitigate the risks of accidental release and ensure operator safety, incorporating advanced leak detection, containment, and emergency response mechanisms?
Considering the safety protocols associated with using highly toxic dopant gases, what are the critical engineering considerations for designing a state-of-the-art gas handling system to mitigate the risks of accidental release and ensure operator safety, incorporating advanced leak detection, containment, and emergency response mechanisms?
In the context of doping silicon wafers using solid sources, what is the primary thermodynamic constraint that dictates the selection of specific dopant precursors like $Sb_2O_5$ and $B_2O_3$ over their elemental forms?
In the context of doping silicon wafers using solid sources, what is the primary thermodynamic constraint that dictates the selection of specific dopant precursors like $Sb_2O_5$ and $B_2O_3$ over their elemental forms?
Considering the challenges associated with high edge concentration during solid source diffusion, which advanced technique could be implemented to mitigate the formation of rough, non-etchable surface coatings at the wafer edges?
Considering the challenges associated with high edge concentration during solid source diffusion, which advanced technique could be implemented to mitigate the formation of rough, non-etchable surface coatings at the wafer edges?
In the context of optimizing solid source diffusion for shallow junction formation, how does the interplay between temperature ramp-up rate and $H_2/N_2$ gas flow ratio influence the final dopant profile within the silicon substrate?
In the context of optimizing solid source diffusion for shallow junction formation, how does the interplay between temperature ramp-up rate and $H_2/N_2$ gas flow ratio influence the final dopant profile within the silicon substrate?
Given the limitations of open powder source diffusion, what is the most critical advancement offered by the closed box process in terms of dopant source control and process repeatability?
Given the limitations of open powder source diffusion, what is the most critical advancement offered by the closed box process in terms of dopant source control and process repeatability?
Considering the use of dopant oxides as ceramic wafers, what strategies can be employed to mitigate the formation of silicon vacancies at the interface during high-temperature diffusion, thereby enhancing dopant activation?
Considering the use of dopant oxides as ceramic wafers, what strategies can be employed to mitigate the formation of silicon vacancies at the interface during high-temperature diffusion, thereby enhancing dopant activation?
How does the choice of carrier gas ($N_2$ vs. $O_2$) in conjunction with the source material ($Sb_2O_5$ vs. $Sb$) impact the surface morphology and electrical characteristics of the diffused silicon wafer, and what mechanistic explanation underlies these effects?
How does the choice of carrier gas ($N_2$ vs. $O_2$) in conjunction with the source material ($Sb_2O_5$ vs. $Sb$) impact the surface morphology and electrical characteristics of the diffused silicon wafer, and what mechanistic explanation underlies these effects?
Considering the use of boron nitride (BN) as a solid source for boron diffusion, what is the rate-limiting step in the boron incorporation process into the silicon lattice, and how can this step be engineered to achieve ultra-shallow junctions?
Considering the use of boron nitride (BN) as a solid source for boron diffusion, what is the rate-limiting step in the boron incorporation process into the silicon lattice, and how can this step be engineered to achieve ultra-shallow junctions?
Assuming a platinum crucible is used to contain the solid dopant source and silicon wafers, what potential contamination mechanisms might arise from the interaction between platinum, dopant species, and the silicon wafers at high temperatures, and how can these be mitigated?
Assuming a platinum crucible is used to contain the solid dopant source and silicon wafers, what potential contamination mechanisms might arise from the interaction between platinum, dopant species, and the silicon wafers at high temperatures, and how can these be mitigated?
In the context of solid source diffusion, what role does the stoichiometry of the dopant oxide (e.g., $As_2O_3$ vs. $As_2O_5$) play in influencing the diffusion kinetics and the resulting electrical activation of the dopant in silicon?
In the context of solid source diffusion, what role does the stoichiometry of the dopant oxide (e.g., $As_2O_3$ vs. $As_2O_5$) play in influencing the diffusion kinetics and the resulting electrical activation of the dopant in silicon?
Considering the use of mass flow controllers (MFCs) in solid source diffusion systems, what advanced control algorithms can be implemented to compensate for MFC drift and nonlinearity, ensuring precise control over dopant delivery and diffusion profile reproducibility?
Considering the use of mass flow controllers (MFCs) in solid source diffusion systems, what advanced control algorithms can be implemented to compensate for MFC drift and nonlinearity, ensuring precise control over dopant delivery and diffusion profile reproducibility?
Flashcards
Interstitial Diffusion
Interstitial Diffusion
Diffusion involving movement through interstitial sites.
Substitutional Diffusion
Substitutional Diffusion
Diffusion occurring through the exchange of atoms with vacancies or other atoms on lattice sites.
Combined Diffusion
Combined Diffusion
A diffusion process that combines both interstitial and substitutional mechanisms.
Rate-Limiting Process in Diffusion
Rate-Limiting Process in Diffusion
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NI
NI
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NS
NS
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Effective Jump Frequency (γeff)
Effective Jump Frequency (γeff)
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Diffusion Process
Diffusion Process
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Isotropic Diffusion
Isotropic Diffusion
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Fick's 2nd Law (2D)
Fick's 2nd Law (2D)
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Lateral Infiltration
Lateral Infiltration
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Unlimited Source Diffusion
Unlimited Source Diffusion
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Limited Source Diffusion
Limited Source Diffusion
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p-n Transition Shifting
p-n Transition Shifting
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Short Circuit Risk
Short Circuit Risk
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Increased Contact Resistance
Increased Contact Resistance
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Advantages of Gaseous Dopant Sources
Advantages of Gaseous Dopant Sources
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Disadvantage of Gaseous Dopant Sources
Disadvantage of Gaseous Dopant Sources
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Edge Concentration Issue
Edge Concentration Issue
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Effect of Oxygen Addition in Doping
Effect of Oxygen Addition in Doping
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Doping from Oxide
Doping from Oxide
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Diborane Decomposition
Diborane Decomposition
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Diborane Oxidation
Diborane Oxidation
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Phosphine Decomposition
Phosphine Decomposition
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Phosphine Oxidation
Phosphine Oxidation
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Arsine Decomposition
Arsine Decomposition
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Emitter Diffusion
Emitter Diffusion
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High Doping Benefit
High Doping Benefit
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Heterojunction
Heterojunction
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Thin Gate Oxide Issue
Thin Gate Oxide Issue
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Poly Diffusion Dopants
Poly Diffusion Dopants
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Solid Source Diffusion
Solid Source Diffusion
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Solid Source Diffusion: Pros & Cons
Solid Source Diffusion: Pros & Cons
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Oxide Doping
Oxide Doping
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Sb2O5 -> Sb
Sb2O5 -> Sb
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P2O5 -> P
P2O5 -> P
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As2O3 -> As
As2O3 -> As
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B2O3 -> B
B2O3 -> B
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BN -> B
BN -> B
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Doping Control Factors
Doping Control Factors
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Solid Diffusion Reactors
Solid Diffusion Reactors
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Study Notes
- The lecture is specifically designed for internal use within a Semiconductor Technology class and any dissemination is not allowed
- The lecturer and TUHH are not liable for the correctness, completeness, and timeliness of the information
- The slides and voice are the only things that are captured
Sequence of Content
- Ch 1: Introduction
- Ch 2: Fundamentals of materials
- Ch 3+4: Crystal production + Wafer production
- Ch 8a+b: Patterning processes (Lithography) + Resolution enhancement
- Ch 7a: Deposition processes
- Ch 7c: CVD (chemical vapor deposition)
- Ch 7d: PVD (physical vapor deposition)
- Ch 9: Etching processes
- Ch 6: Oxidation
- Ch 7b: Epitaxy
- Ch 5a+b+c: Doping + Diffusion + Implantation
- Ch 10: Process Integration
- Ch 11: Packaging and interconnect technologies
Diffusion Basics
- Foreign atoms, known as dopants, move through the semiconductor due to concentration differences
- Diffusion relies on thermal activation and is sensitive to temperature changes
- How dopants spread out depends on the relationship between temperature and time, as well as the conditions at the borders of the material
Solid Material Diffusion Paths
- Exchange Diffusion: Atoms switch places with their immediate neighbors
- Interstitial Diffusion: Atoms move through gaps in the crystal structure
- Substitution Diffusion: Atoms move through empty spaces in the crystal structure
Exchange Diffusion
- Involves atoms directly swapping positions with neighboring atoms in the crystal lattice
- Very unlikely to occur in crystals
- Not really important in monocrystals
Interstitial Diffusion
- Atoms wedge between atoms from one interstitial site to the next
- The frequency of jumps is jump frequency vj
- Excited thermally though lattice vibration with frequency vo (1013-1014Hz)
- Activation energy with EA (0.6 up to 1.2 eV) occurs at lattice temperature T
- At 300 K (room temperature) approx. 1 jump/min
Substitution Diffusion
- Dopant atoms move through lattice sites, swapping with a neighboring site
- Requires a free neighboring site, dependent on vacancy concentration
- Activation energy is required to create a vacancy (Schottky defect) using Es (~2 eV)
- Activation energy is required to break the bond for place exchange using EB (~2 eV) at lattice temperature T
- Due to ES+EB: 3 - 4 eV
- At 300 K: One jump occurs in 10^45 years
Combined Diffusion
- Frequently a combined diffusion process: combined movement with independent parallel particle flows, in interstitial with concentration N, (cm-³) and through site exchange with concentration Ns (cm³)
- Probabilities dictate the process
- In interstitial sites using N1 / N1+Ns for Interstitial diffusion
- In lattice sites using Ns / N1+Ns for Substitution diffusion
- Effective jump frequency is veff
Defect Density & Diffusion
- Diffusion is strongly dependent on vacancy density nv
- At higher defect density, interstitial diffusion limits the process, Vacancy concentration is quickly set, and Jump frequency is determined by interstitial sites using Veff = V1N1 / N1 + Ns
- At lower defect density, substitution diffusion limits the process, Vacancy concentration nv must be established first, and Jump frequency in substitution diffusion is determined by vacancies using Veff = VSNV / NV + NS
Diffusion Forces
- Diffusion happens randomly in all directions without driving forces
- Driving forces include diffusion gradients, electrical fields, and very high concentrations and vacancy densities
- In diamond lattice the distance of atoms is a/√3 , with lattice constant a. In each case two neighbors are equivalent.
- Concentration N₁ and N₂ in regions 1 and 2 calculated from number of particles n₁ and n₂
Diffusion Coefficients
- Particle flow / across the border: Δη/Δt = Veff a(N,N) / 2√3 due to ΔΝ/Δx = N₁-N₂ / a√3
- Follows the particle flow: Δη/Δt = -Aveff a²ΔN / 6Δx = I = JA
- Diffusion coefficient is D = Veff a²/6 and is through the jump frequency, exponentially dependent on the temperature
- 1st Fick's Law: J = -D ∂N/∂x
- Interstitial diffusion is D₁ = D0 exp(-EA/kT)
- Substitution diffusion is Ds = D0 exp(-(ES+EB)/kT)
- Diffusion constant is D0 = 4voa²/6
- High diffusion rate requires sufficiently high temperatures
Potential Gradients
- At higher temperatures in semiconductors, the dopants and the lattice atoms are ionized
- Additional driving force if electric field E is present, Drift velocity vd (with mobility μ) using Vd= μ Ē & Particle flow due to field using Jd= µ NĒ
- Fick's Law with field term using Jg = JD + JE = -D∂/∂x + μ NĒ
- Formation of electric fields occurs with Voltage in substrate during diffusion (hardly feasible) & Atomic core and charge carrier have different mobilities in lattice
- Electrons and holes diffuse faster than donors and acceptors & Charge carriers „trail behind“ dopants
Field Effect
- Einstein relation: D = μkT/q Electrical field strength owing to gradient with electron concentration n (in stationary state) using Ex = kT/q (1/n x dn/dx)
- With n doping, the electron concentration follows n = ni ([ 1 + (N/2ni)^2 ] + 1)
- Varies between 1/2 (light doping N) and 1 (high doping) -> max. Deff = 2D
- The concentration of electrons in the material is changed
- Stronger increase of diffusion coefficients occurs through interaction with charged defect sites
Concentration-dependent diffusion
- At higher concentrations, interstitial diffusion is dominant
- A larger diffusion coefficient means rapid diffusion
- Equilibrium reaction of dissociation process: Ns <=> N, + nv between Substitution sites Ns interstitial states N and vacancy sites nv
- Rather on right side at higher concentration (interstitial and vacancy)
- At lower concentration on left (substitution)
- Results in rapid diffusion at higher concentration and slow diffusion at lower concentration
- Formation of a "box profile" with boron and arsenic doping in Si
Dislocation Diffusion
- Dislocations create interstitial atoms which create vacancies
- At a high dislocation density: High vacancy concentration ny, Diffusion limited only by interstitial transport, and Deff = Dz Nz / Nz + Ns
- At a low dislocation density there are a Low number of vacancies, Small change in the interstitial concentration N1 and Diffusion is limited by vacancy transport with Deff = Dv nv / nv + Ns ≈ Dv nv / Ns
Silicon
- Dopants (substitution diffusion) inclue Group V Donors (P, As, Sb) and Group III Acceptors (B, Al, Ga)
- Impurities: (interstitial diffusion) includes Groups I and VII (Li, Na, K, He, H2)
- Transition metals (interstital-substitution diffusion) includes Pd, Au, Fe, Cu: „Life span killer“
Gallium Arsenide
- Diffusion mechanisms less distinctive
- Diffusion takes place in sublattices (Ga, As)
- Dopants: Acceptors (group II)
- Interstitial-substitution diffusion in Ga lattice: Zn, Be, Cd, Hg, Mg
- Donors (group VI): S, Se, Te
- Substitution diffusion in Ga and As lattices
- Si (amphoteric)
- Ge, C, Sn
Theoretical Description
- Particle flow characterized by two differential equations.
- Fick's 1st law; says particle flow is proportional to concentration gradients
- Continuity equation, particle DJ/Dt can be shown by DC(x,t)/Dt = -DJ(x,t)/Dx
- Ficks's Law results in a diffusion equation after differentiation of first law
- 2nd order partial differential equation, has many solutions, which are dependent on the beginning and boundary conditions
Process Conditions
- Conditions include
- Constant concentration on the surface: unlimited (infinite) source
- Constant particle number (finite source)
Surface Concentration
- Unlimited, inexhaustable, infinite source
- Diffusion from the gas phase and out of heavily doped glasses
- Solution: C(x,t) = C, erfc[x/2√Dt] and defines complementary (Gaussian) error function
- erfc is a complementary Gaussian error function
- As "t" increases so does surface concentration
- C(x,0) = 0, C(0,t) = Cs, C(x,t) = 0
Particle Number
- Limited, finite source with Constant particle number S == C(x,t)dx from 0 to ∞
- „Preallocation“ and inward diffusion from Ion implantation
- Delta-Function of source Sδ and solution defined by C(x,t) == S exp [-x^2/(2V(Dt))^2] / V(Pi Dt) = S exp(-x^2/4Dt) / V(Pi Dt) for Gaussian distribution
- Boundary concentration decreases!
- S produced by preallocation during t₁ from unlimited source
- Concentration changes with finite source
Higher Order
-
Diffusion coefficient depends on diffusing material and temperature
-
ie D is dependent on the concentration -> nonlinear ODE
-
In these cases there is:
-
No analytical solution of diffusion equation possible
-
Process simulators are required
Dopant Production
- Dopnants production comprises;
- Consecutive Diffusion processes
- Overcompensation of previously introduced concentration
- Further diffusion of previously introduced concentration
- Fall of border concentration of previously introduced concentration
- Same doping type:
- Contact diffusion
- Setting of field patterns (e.g. backside drift field in solar cells)
Pn Junctions
- Production of pn junctions:
- Forms when NA=ND, Forms when Acceptor concentration equals Donor concentration
- Actual and theoretical doping profile of an npn transistor: emitter, a base and a collector
- Use of limited source to reduce doping of the base
Two Dimensional Diffusion
-
Takes place through openings in masks
-
Includes diffusion which is isotropic/equal in all directions
-
For line source using a delta function in x direction, width w in y lateral infiltration and surface area calculation
-
LateralInfiltration of mask
- (75-85%)
- With concentration dependence of D (65-70%)
-
Sinking of concentration at edge of mask
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With unlimited source, constant doping in window
-
With limited source, reduced concentration at edge
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Shifting of pn transition from short circuit with metal contacts possible, Increasing contact resistance with Schottky contact
Diffusion Behaviour
- Occurs in locally increased diffusion coefficient
- Many interstitial atoms and vacancies occur.
- Emitter Push Effect/ E-B Junction
- Caused by Emitter Majority carriers leading the way, Base diffusion increasing against concentration gradient at E-B junction
- Doping Profile has Emitter Push
- The flatter Emitter has longer base and a higher expected base concentration.
Oxidating Surfaces
- High interstitial Si presence caused the oxidation of Si to SiO2
- OED increased in interstitial-substitution diffusion , but diffuses more slowly for Sb(vacancy diffusion) .
- Difference from diffusing without oxidising includes having enhanced diffusion with more point defects and decreases when there are less point defects.
Doping Influence on concentration
- During Oxidation, SiO2-Si interface shifts creating a moving edge condition. Causing:
- Concentration that dependent on on Edge
- Diffuse out from surface Diffusion coefficient in oxide
- Solubility of Oxide
- Diffusion depends on equilibirium concentration of dopant in SI02 vs SI
- Concentration that dependent on on Edge
At Mask Edges
Masking (SIO3, Si4, N4) leads to thermomechanical/diffusion from thermal expansion coefficients of materials: Creates vacancies, Increasing SI lattice expanse/diffusion coefficients.
Grain Boundaries
- Higher Increased grain defects than grain crystals
- Diffusion occurs at certain grain points
- Segragation occurs at the edge.
- Penetration depth will depend on the grain size/boundary/properties.
Silicon Diffusion
- Requirements include (as as many wafers possible)
- Thermal activation (900 to 1200, +/‐.5) with specific brief times for the depth
- Each process with and without many wafers simultaneously as a batch
- Gas Phase Diffusion is used which involves closing cap from various source and theoretical diffusion reactors, in solid and liquid sources including polysilicon and dupe oxides-
Gas Phase Diffusion Reactor
Gaseous source use
- Simple Supply
- Uniform Distribution
- Add oxide
- Can be boron with diborane, with phosphorous with phosphene
Liquid Phase Diffusion
-Liquid sources
- Oxygen is added for doping after oxidation
- Can be 4POCI3 or 4BOCI3 with oxygen
Gas Flow Diffusion
Gas Source using:
- B2B to create oxidation/ Diffusion/ or doping.
- Solid source uses temperature and activation to reach equilibrium temperature with H20/O
Diffusion from Solid Sources
- Open vs Closed box
- Includes use of oxides as ceramic wafers.
Solid Diffusion
Oxide and Elemental Layers are:
- Evaporated by Spin coat
- Have a High Surface Concentration beneath the solubility.
Dopants include Silicone compounds with spin drys. (Sb,P,As,B,) made from silicate solutions.
Zone Wall Reactors
These are used for multi zone/ batch Processes
Features-
- High Length (Long tube for Many Wafers)
- Temperature Zone with gradient Control, to prevent too much dislocation. Uses a Flowbox at entrance to Capture any Sodium.
Wall Reactor Setups
Consists of :
- Air Filetr
- Loader
- Temperature Meter
- Temp Comtrol
- Heater/ sensors
RTP Reactors ( Rapid Thermal Processing)
- Heats with halogen laps on Single Wafers/ small thermal budgets
- Contains extremely Temperature/ Process timings
- Controls temperature gradients (1000k/s)
- Runs at Short/ High temperatures
Mask and Diffusion
SiO or Si3N2 mask types are patterned using suitable materials for diffusion.
- Thickness depends on the diffusion time and requirements.
Diffusion Doping Issues
- Issues*
- Coats the surface area
- High/limit level of solubility
- Hard To Control
- Can Create Ohmic Resistance
Diffusion Significance
- Application example in polysillicon, liquid solutions
- Replaced with ION implantation for Drain sources
- Exact process control over profile, volume.
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Description
Explore emitter diffusion challenges in semiconductor fabrication, focusing on polysilicon use with ultra-thin gate oxides and heterojunction advantages in MOS transistors. Examine factors limiting doping profile abruptness in gallium arsenide (GaAs) diffusion. Address challenges in maintaining device performance with degenerately doped polysilicon regions.