Semiconductor Device Fabrication: Emitter Diffusion
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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?

  • 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?

  • 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?

  • 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?

<p>Lateral diffusion of the dopant beyond the intended target area, causing short-channel effects and device leakage. (D)</p> Signup and view all the answers

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?

<p>The significant increase in the Fermi level entering the conduction band, resulting in metallic behavior and enhanced tunneling probabilities. (D)</p> Signup and view all the answers

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?

<p>When $N_I$ is overwhelmingly larger than $N_S$, effectively rendering substitutional diffusion negligible. (B)</p> Signup and view all the answers

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?

<p>The diffusion process becomes limited by the comparatively slow dissociation of atoms from lattice sites into interstitial positions. (A)</p> Signup and view all the answers

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?

<p>Achieve a state where $N_S N_I$, allowing both terms to contribute roughly equally to the overall $S_{eff}$. (C)</p> Signup and view all the answers

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?

<p>The effective diffusion coefficient shows two distinct temperature regimes: lower temperatures are dominated by interstitial migration, while higher temperatures are governed by lattice dissociation. (A)</p> Signup and view all the answers

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?

<p>Impurity segregation towards interstitial regions is promoted, leading to localized high-concentration zones and potentially non-uniform diffusion profiles. (C)</p> Signup and view all the answers

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?

<p>The vacancies primarily affect substitutional diffusion, with the increased vacancy concentration leading to a non-linear enhancement due to vacancy clustering and correlated jumps. (D)</p> Signup and view all the answers

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.

<p>The $J_I / J_S$ ratio increases exponentially with increasing pressure, favoring interstitial diffusion due to its smaller activation volume. (D)</p> Signup and view all the answers

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?

<p>The concentration $C(r,t)$ is halved and the exponential term's influence is quadrupled. (C)</p> Signup and view all the answers

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 $D$?

<p>It causes a sinking of concentration at the mask edge, potentially leading to a shift in the p-n junction and altered electrical characteristics. (C)</p> Signup and view all the answers

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?

<p>With an unlimited source, the concentration remains constant in the window, while a limited source leads to a reduction in concentration at the edge, impacting the conductivity near the mask. (B)</p> Signup and view all the answers

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?

<p>A shifted p-n junction may lead to short circuits if it extends to metal contacts, increased leakage currents, and altered breakdown voltages, thereby compromising device reliability. (B)</p> Signup and view all the answers

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)?

<p>The BJT's forward transconductance ($g_m$) would decrease, reducing the amplifier gain and potentially leading to increased noise and distortion. (C)</p> Signup and view all the answers

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?

<p>A concentration-dependent $D$ leads to a non-linear diffusion process, potentially resulting in the formation of more abrupt junctions compared to a constant $D$. (D)</p> Signup and view all the answers

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?

<p>As diffusion depth and lateral infiltration approach comparable scales, variations in the local mask-edge geometry can lead to substantial differences in channel length and threshold voltage in nanoscale MOSFETs. (D)</p> Signup and view all the answers

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?

<p>By integrating Finite Element Analysis (FEA) with process models to simulate stress-induced diffusion effects near the mask edges, enabling adjustments to the mask design and diffusion parameters. (C)</p> Signup and view all the answers

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?

<p>DLTS could be used to map the spatial distribution of electrically active defects contributing to diffusion anomalies, while APT could provide three-dimensional compositional maps revealing the precise location and chemical identity of these defects. (A)</p> Signup and view all the answers

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?

<p>The extremely hazardous nature of arsine, even at ppb concentrations, requires significant dilution, typically with hydrogen, despite the potential for rough surface coating due to high edge concentration. (C)</p> Signup and view all the answers

In the context of doping from oxide wafers on a carrier system, what fundamental limitation arises when utilizing diborane (B2H6) as the boron source?

<p>The rapid adsorption of B2O3 on the carrier surface passivates the boron source, necessitating frequent replacement of the carrier wafers to maintain consistent doping levels. (A)</p> Signup and view all the answers

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?

<p>Substantially reduced oxygen concentration favors the formation of phosphides, resulting in a difficult-to-etch skin; Excessively high oxygen concentration results in rapid P2O5 formation and depletion of the phosphorus source. (A)</p> Signup and view all the answers

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?

<p>Moisture promotes the formation of arsenic oxides within the gas stream, reducing arsenic incorporation into the silicon lattice; Employing a desiccant, such as molecular sieves, upstream of the reactor effectively removes trace moisture. (D)</p> Signup and view all the answers

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.

<p>Closed-tube configurations enable precise control over ambient pressure, minimizing boron out-diffusion, while open-tube systems facilitate continuous diborane replenishment, preventing dopant starvation but increase impurity issues. (C)</p> Signup and view all the answers

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?

<p>All of the above. (D)</p> Signup and view all the answers

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?

<p>All of the above. (D)</p> Signup and view all the answers

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.

<p>The smaller nuclear cross-section of 10B compared to 11B reduces the probability of neutron-induced displacement damage in radiation-hardened devices, enhancing radiation tolerance. (C)</p> Signup and view all the answers

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?

<p>All of the above. (D)</p> Signup and view all the answers

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?

<p>All of the above. (D)</p> Signup and view all the answers

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?

<p>The minimization of the Gibbs free energy of the overall doping reaction, ensuring thermodynamic favorability of dopant incorporation into the silicon lattice. (D)</p> Signup and view all the answers

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?

<p>Utilizing a proximity capping method with a sacrificial silicon wafer to absorb excess dopant at the edges, followed by etching to remove the contaminated layer. (A)</p> Signup and view all the answers

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?

<p>A rapid temperature ramp-up combined with a low $H_2/N_2$ ratio minimizes pre-deposition surface oxidation, enabling a steep dopant gradient and shallow junction formation. (B)</p> Signup and view all the answers

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?

<p>The closed box process provides a means to establish a well-defined dopant vapor pressure equilibrium, enabling highly reproducible dopant incorporation rates and profile control. (B)</p> Signup and view all the answers

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?

<p>Employing a two-step diffusion process involving a pre-deposition step at a lower temperature followed by a drive-in step at a higher temperature with an inert ambient to minimize vacancy generation. (A)</p> Signup and view all the answers

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?

<p>Using $N_2$ with $Sb_2O_5$ promotes the formation of a smooth, heavily doped surface layer due to the reducing environment inhibiting oxide formation, while using $O_2$ with $Sb$ leads to enhanced surface roughness and lower active carrier concentration due to uncontrolled surface oxidation. (C)</p> Signup and view all the answers

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?

<p>The diffusion of boron through the native oxide layer on the silicon surface restricts boron incorporation; using a pre-diffusion clean with HF to remove the native oxide and subsequently passivating the surface with hydrogen can enhance boron penetration and reduce junction depth. (B)</p> Signup and view all the answers

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?

<p>Platinum atoms can diffuse into the silicon wafers, creating deep-level traps and reducing carrier lifetime; this can be mitigated by using a gettering process to remove platinum atoms from the active regions of the silicon wafers. (D)</p> Signup and view all the answers

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?

<p>The stoichiometry influences the equilibrium vapor pressure of the dopant species, where a higher oxygen content generally leads to a lower vapor pressure, enabling precise control over the dopant incorporation rate. (A)</p> Signup and view all the answers

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?

<p>Implementing a model predictive control (MPC) algorithm that uses a Kalman filter to estimate the MFC state and predict future dopant delivery rates, allowing for real-time adjustments based on the estimated drift. (D)</p> Signup and view all the answers

Flashcards

Interstitial Diffusion

Diffusion involving movement through interstitial sites.

Substitutional Diffusion

Diffusion occurring through the exchange of atoms with vacancies or other atoms on lattice sites.

Combined Diffusion

A diffusion process that combines both interstitial and substitutional mechanisms.

Rate-Limiting Process in Diffusion

The slower of the two diffusion processes (interstitial or substitutional) limits the overall rate.

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NI

Concentration of particles in interstitial sites.

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NS

Concentration of particles in substitutional/lattice sites.

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Effective Jump Frequency (γeff)

Effective jump frequency in combined diffusion, considering both interstitial and substitutional jumps and concentrations.

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Diffusion Process

Diffusion occurs through openings in masks during semiconductor processing.

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Isotropic Diffusion

Diffusion proceeds equally in all directions.

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Fick's 2nd Law (2D)

The two-dimensional solution to Fick's 2nd law for a line source diffusion.

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Lateral Infiltration

Lateral infiltration of the diffusion mask during diffusion process correlates with the depth.

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Unlimited Source Diffusion

An unlimited source maintains constant doping in the diffusion window.

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Limited Source Diffusion

A limited source leads to reduced concentration at the mask edge.

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p-n Transition Shifting

The movement of the p-n junction due to diffusion.

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Short Circuit Risk

High doping concentration can short circuit metal contacts.

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Increased Contact Resistance

Diffusion can lead to increased resistance at the contact between a metal and a semiconductor.

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Advantages of Gaseous Dopant Sources

Gaseous doping sources provide a simple supply and uniform distribution of dopants.

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Disadvantage of Gaseous Dopant Sources

Gaseous dopant sources can be highly toxic, even at low concentrations (ppb range).

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Edge Concentration Issue

High dopant concentration at the wafer edge leads to rougher surfaces that are difficult to etch.

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Effect of Oxygen Addition in Doping

Adding oxygen promotes SiO2 formation and reduces difficult-to-etch skin made of silicides.

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Doping from Oxide

Doping can occur by using oxide wafers.

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Diborane Decomposition

Diborane (B2H6) decomposes into boron and hydrogen.

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Diborane Oxidation

Diborane reacts with oxygen to form boron oxide (B2O3) and water at 300°C.

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Phosphine Decomposition

Phosphine (PH3) decomposes to phosphorus and hydrogen.

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Phosphine Oxidation

Phosphine reacts with oxygen to form phosphorus pentoxide (P2O5) and water.

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Arsine Decomposition

Arsine (AsH3) breaks down into arsenic and hydrogen.

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Emitter Diffusion

Doping with an extremely high concentration (10^21 cm^-3) of phosphorus.

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High Doping Benefit

Achieves a very high level of doping to enhance emitter efficiency.

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Heterojunction

An interface between two different semiconductor materials (e.g., PolySi-Si).

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Thin Gate Oxide Issue

Diffusion from polysilicon can unintentionally dope the channel region in FETs with thin gate oxides.

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Poly Diffusion Dopants

Arsenic (As) and Boron (B) are common dopants, diffused from polycrystalline silicon

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Solid Source Diffusion

A method of doping silicon using solid materials as the dopant source.

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Solid Source Diffusion: Pros & Cons

Simple distribution, low toxicity, but complex process control and high edge concentration.

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Oxide Doping

Addition of oxygen to a solid source to aid in doping.

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Sb2O5 -> Sb

Antimony Pentoxide (Sb2O5) transforms into Antimony (Sb) for doping.

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P2O5 -> P

Phosphorus Pentoxide (P2O5) transforms into Phosphorus (P) for doping.

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As2O3 -> As

Arsenic Trioxide (As2O3) transforms into Arsenic (As) for doping.

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B2O3 -> B

Boron Trioxide (B2O3) transforms into Boron (B) for doping.

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BN -> B

Boron Nitride (BN) transforms into Boron (B) for doping.

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Doping Control Factors

Control temperature and gas flow over time when doping from solid sources.

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Solid Diffusion Reactors

Open powder source, powder source with increased vapor pressure, and dopant oxides as ceramic wafers.

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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

  • With unlimited source, constant doping in window

  • With limited source, reduced concentration at edge

  • 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

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.

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