Home Knowledge Base The stopping of energetic ions in silicon is governed by nuclear and electronic energy loss mechanisms.

Ion implantation is the precision semiconductor doping technique where energetic, mass-filtered impurity ions are electrostatically accelerated to kinetic energies between 0.2 keV and 3 MeV and driven into the surface of a silicon wafer to modify its local electrical conductivity and junction profile. Unlike high-temperature chemical diffusion which is isotropic and thermodynamically constrained by solid solubility limits, ion implantation provides exact, independent electronic control over dopant species, total dose ($10^{11}\text{ to }10^{16}\ \text{ions/cm}^2$), and depth distribution via incident beam energy. To repair the crystal lattice damage and amorphization caused by nuclear collision cascades while avoiding unwanted dopant redistribution through Transient Enhanced Diffusion (TED), modern manufacturing pairs precision beamline and plasma doping with millisecond Laser Spike Annealing (LSA) and Rapid Thermal Annealing (RTA) to achieve full dopant electrical activation in ultra-shallow junctions ($X_j < 10\text{ nm}$).

Ion Implantation: Beamline Architecture, Depth Distribution, and Anneal Activation A diagram illustrating mass-analyzing beamline ion implanter, Gaussian depth profile (Rp, ΔRp, channeling tail), and sub-millisecond laser spike anneal lattice recovery. ION IMPLANTATION: BEAMLINE SELECTION & JUNCTION ACTIVATION MASS-FILTERED BEAMLINE IMPLANTER Ion Source BF₃ / AsH₃ Plasma Magnet (q/m) Mass Filter: ¹¹B⁺ Electrostatic Accel Column (0.5–500 keV) Quadrupole lenses + 7° Tilt / Rotation Scan 300mm Wafer Zero contamination: 99.999% mass purity via sector magnet DOPANT CONCENTRATION DEPTH PROFILE Depth x (nm) Log N R_p (Peak) Channeling Tail Laser Spike Anneal (LSA > 1250°C) Full activation with zero TED diffusion LSS RANGE THEORY & GAUSSIAN DOPANT DEPTH DISTRIBUTION N(x) = (Φ / (sqrt(2π)·ΔR_p)) · exp(-(x - R_p)² / (2·ΔR_p²)) [Gaussian Profile] S_total(E) = S_nuclear(E) + S_electronic(E) [Stopping Power Mechanisms] Where Φ is implant dose, R_p is projected range, and ΔR_p is longitudinal straggle. Nuclear collisions dominate at low energy while electronic drag dominates at high keV. Signoff Goal: Sheet resistance uniformity 3σ < 1.0% with laser anneal activation.

The stopping of energetic ions in silicon is governed by nuclear and electronic energy loss mechanisms. According to the Lindhard-Scharff-Schiøtt (LSS) theory, as an accelerated ion penetrates the silicon lattice, it loses kinetic energy ($E$) through two concurrent stopping mechanisms:

$$-\frac{\mathrm{d}E}{\mathrm{d}x} = N_{\text{sub}} \left[S_{\text{nuclear}}(E) + S_{\text{electronic}}(E)\right],$$

where $N_{\text{sub}}$ is the atomic density of silicon ($5.0\times 10^{22}\ \text{atoms/cm}^3$), $S_{\text{nuclear}}$ represents elastic billiard-ball collisions with silicon target nuclei, and $S_{\text{electronic}}$ represents inelastic drag forces against electron clouds. At low energies (e.g. $< 10\text{ keV}$ for Boron), nuclear stopping dominates, displacing host silicon atoms from their lattice sites to create Frenkel vacancy-interstitial pairs; at high energies (e.g. $> 100\text{ keV}$), electronic stopping dominates, braking the ion without creating immediate crystal displacement.

The resulting spatial dopant concentration follows a Gaussian or Pearson IV distribution. For an amorphous or random-direction target, the one-dimensional dopant concentration profile $N(x)$ at depth $x$ is mathematically described by:

$$N(x) = \frac{\Phi}{\sqrt{2\pi} \Delta R_p} \exp\left(-\frac{(x - R_p)^2}{2 \Delta R_p^2}\right),$$

where $\Phi$ is the total implanted dose ($\text{ions/cm}^2$), $R_p$ is the projected range (mean penetration depth), and $\Delta R_p$ is the longitudinal straggle (standard deviation). For light ions like Boron ($\text{B}^+$), substantial nuclear backscattering induces a negative skewness, requiring a 4-parameter Pearson IV distribution incorporating skewness ($\gamma$) and kurtosis ($\beta$) to model the profile accurately.

Intentional wafer tilting and rotation eliminate geometric axial channeling along open crystal columns. In a pristine single-crystal silicon ingot, atoms align in periodic open crystal columns (particularly along the $\langle 110\rangle$ and $\langle 100\rangle$ orientations). If ions enter parallel to these columns, they experience gentle steering potentials that prevent nuclear collisions, penetrating deep into the substrate to form an unwanted channeling tail. Fabs eliminate channeling by tilting the wafer $7^\circ$ and twisting $22^\circ$ relative to the incident ion beam, which misaligns the open crystal axes from the beam trajectory.

Pre-amorphization implantation transforms the substrate surface to guarantee sharp junction boundaries. By implanting heavy, electrically neutral ions (such as Germanium $\text{Ge}^+$ or Silicon $\text{Si}^+$) prior to dopant implantation, the crystalline lattice in the top $20\text{--}50\text{ nm}$ is completely converted into an amorphous phase. This pre-amorphization layer eliminates all channeling paths, allowing subsequent low-energy dopants to form abrupt, box-like concentration profiles with sub-nanometer boundary sharpness.

Transient Enhanced Diffusion requires sub-millisecond laser spike annealing to achieve ultra-shallow junctions. During conventional furnace or spike annealing, excess silicon self-interstitials created during implantation cluster into $\{311\}$ rod-like defects. Upon heating, these clusters dissolve and emit free interstitials that mediate rapid, anomalous dopant diffusion—Transient Enhanced Diffusion (TED)—which deepens the p-n junction by tens of nanometers. Modern fabs resolve TED by deploying Laser Spike Annealing (LSA) and Flash Lamp Annealing (FLA):

$$t_{\text{anneal}} \le 1.0\ \text{ms}, \qquad T_{\text{peak}} \ge 1250^\circ\text{C}\text{--}1350^\circ\text{C}.$$

The millisecond thermal pulse provides sufficient thermal energy for solid-phase epitaxial regrowth (SPER) and complete substitutional electrical activation ($> 90\%$) while remaining far too short for dopant atoms to diffuse spatially ($D_{\text{dopant}} t \to 0$).

Implant Species & IonMass ($u$)Typical Energy RangeProjected Range ($R_p$)Longitudinal Straggle ($\Delta R_p$)Primary Semiconductor Doping Application
Boron ($\text{}^{11}\text{B}^+$)110.5 keV – 30 keV2.5 nm – 110 nm1.5 nm – 40 nmPMOS source/drain extension, p-well, and threshold $V_t$ adjust
Molecular Boron ($\text{BF}_2^+$)492 keV – 40 keV3.0 nm – 35 nm1.8 nm – 15 nmUltra-shallow PMOS source/drain (effective $E_{\text{B}} = 0.22 E_{\text{total}}$)
Phosphorus ($\text{}^{31}\text{P}^+$)311 keV – 100 keV2.0 nm – 130 nm1.2 nm – 45 nmNMOS source/drain extension and n-well formation
Arsenic ($\text{}^{75}\text{As}^+$)751 keV – 80 keV2.0 nm – 60 nm1.0 nm – 22 nmHeavy n-type source/drain contact doping ($> 1\times 10^{21}\ \text{cm}^{-3}$)
Germanium ($\text{}^{74}\text{Ge}^+$)745 keV – 60 keV6.0 nm – 50 nm3.0 nm – 20 nmPre-Amorphization Implantation (PAI) for channeling suppression
Carbon ($\text{}^{12}\text{C}^+$)122 keV – 15 keV8.0 nm – 45 nm4.0 nm – 18 nmCo-implantation interstitial trap to suppress Boron TED diffusion

Plasma Doping enables conformal, high-dose doping of 3D FinFET and nanosheet vertical sidewalls. Traditional beamline implanters operate with directional, line-of-sight ion trajectories that suffer severe geometric shadowing on vertical 3D transistor fins. In Plasma Doping (PLAD) or Plasma Immersion Ion Implantation (PIII), the entire wafer is immersed in a continuous dopant plasma (e.g. $\text{B}_2\text{H}_6 / \text{He}$ or $\text{AsH}_3 / \text{H}_2$), and negative high-voltage pulses ($-0.5\text{ to }-5\text{ kV}$) are applied to the substrate chuck. The plasma sheath conforms around 3D fins, driving ions omnidirectionally into vertical sidewalls with $100\%$ uniform dose and high throughput.

st=>start: Generate dopant ion plasma in arc discharge chamber (BF3 / AsH3)
filter=>operation: Pass beam through 90° sector analyzing magnet to select target isotope (e.g. 11B+)
accel=>operation: Accelerate mass-filtered ions across electrostatic column to calibrated energy
scan=>operation: Electrostatic beam scanning with 7° tilt / 22° twist over 300mm wafer chuck
damage=>operation: Collision cascade creates amorphous layer and interstitials at depth Rp
anneal=>operation: Sub-millisecond Laser Spike Annealing (LSA > 1250°C, 1ms)
activate=>condition: Electrical activation > 90% and junction depth X_j ≤ 10nm verified?
pass=>end: Fully activated ultra-shallow junction ready for contact silicide formation
st->filter->accel->scan->damage->anneal->activate
activate(yes)->pass
activate(no)->anneal

Achieving leading-edge transistor scaling requires viewing ion implantation as an accelerated-ion-stopping-lattice-amorphization-and-millisecond-activation lens. By balancing mass-selective magnetic filtering, multi-species nuclear collision stopping kinematics, pre-amorphization channeling suppression, and sub-millisecond laser thermal activation, semiconductor fabs fabricate ultra-shallow junctions with atomic depth precision. Precision implantation ensures that advanced FinFETs, GAA nanosheets, and memory arrays achieve high on-state drive currents, sharp subthreshold slopes, and zero junction leakage across high-volume production.

tilt angle implantion implantation tilt angleion implantation dopingimplant channelingwafer tilt twistdoping

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