Guide 05 · 27 live controls

Two-photon lithography parameters, intuitively

Every control changes a particular link in the causal chain. This atlas explains what each one means, what increasing it tends to do, what it interacts with, and what the browser model actually computes.

Field guide24 min reference
02 / Path

Path and slicing

These controls decide where the focus travels, how neighboring lines overlap, and when a region is revisited.

Δz

Layer height

µm
Process input

The vertical distance between successive written slices.

Turn it up
Uses fewer, more widely separated layers. Exposure is faster, but vertical detail and overlap decrease.
Watch it with
Numerical aperture, wavelength, hatch spacing, and the smallest vertical feature.
Inside this model
Rebuilds the deterministic three-dimensional path and therefore changes layer count, path length, timing, and exposure overlap.
Try it in the lab
h

Hatch spacing

µm
Process input

The lateral distance between neighboring interior scan lines.

Turn it up
Shortens the path and reduces overlap. Excessive spacing can leave weakly exposed gaps between lines.
Watch it with
Focal width, power, speed, layer height, and contour coverage.
Inside this model
Changes the actual path samples through the occupancy rather than applying a cosmetic density multiplier.
Try it in the lab
θ

Hatch angle

°
Process input

The in-plane direction followed by the interior fill lines.

Turn it up
Rotates the hatch; it has no universal stronger-or-weaker direction. Its effect depends on geometry and neighboring layers.
Watch it with
Feature orientation, boundary coverage, layer-to-layer rotation, and unsupported spans.
Inside this model
Rotates the generated scan trajectory inside each layer while preserving the occupied target volume.
Try it in the lab
N꜀

Contour passes

count
Process input

How many boundary-following traces reinforce the outside of each slice.

Turn it up
Adds exposure near boundaries and lengthens the path. Edges may become more robust but also broader or overexposed.
Watch it with
Hatch spacing, power, speed, off-target activation, and fine cavities.
Inside this model
Adds real contour trajectories to the exposure schedule; it is not a post-processing outline.
Try it in the lab
Nₚ

Exposure passes

count
Process input

How many times the complete path is revisited.

Turn it up
Accumulates more exposure, but later passes encounter chemistry altered by earlier passes.
Watch it with
Initiator depletion, oxygen recovery, radical loss, power, and total physical time.
Inside this model
Repeats the timed path against the evolving authoritative volume instead of multiplying a finished conversion field.
Try it in the lab
03 / Light

Light and motion

These are physical-style process inputs that shape the focal field, pulse energy, nonlinear source, and dwell history.

P

Specimen power

mW
Process input

The average optical power delivered at the specimen plane.

Turn it up
Strengthens the two-photon source rapidly. In this model the source scales with P² when other light inputs stay fixed.
Watch it with
Scan speed, repetition rate, pulse duration, numerical aperture, and off-target activation.
Inside this model
Power normalizes the vectorial pupil and enters the nonlinear source; it is not divided uniformly among voxels.
Try it in the lab
v

Scan speed

µm/s
Process input

How quickly the focus moves along the same geometric path.

Turn it up
Reduces dwell time and usually lowers accumulated conversion while shortening the physical exposure history.
Watch it with
Power, hatch spacing, passes, diffusion, oxygen recovery, and radical lifetime.
Inside this model
Changes illuminated and dark time between path samples. It does not directly rescale the optical field.
Try it in the lab
NA

Numerical aperture

dimensionless
Process input

How broadly the objective accepts light and how tightly it can concentrate the same total specimen power.

Turn it up
Narrows the focal distribution and raises central concentration, but can reduce overlap and does not guarantee greater whole-object survival.
Watch it with
Wavelength, voxel pitch, hatch and layer spacing, polarization, and aberration.
Inside this model
Sets the objective semi-angle in a normalized vectorial Debye field from NA 0.01 to 1.49. The narrow core is volume-averaged when the grid under-resolves it; broad low-NA support is bounded by the simulated volume.
Try it in the lab
λ

Wavelength

nm
Process input

The optical wavelength used to form the focus.

Turn it up
Broadens diffraction-controlled spatial scales for the same NA. A real material’s absorption response may also change.
Watch it with
NA, PI absorption peak, objective transmission, aberration, and voxel resolution.
Inside this model
Changes focal-field geometry and is evaluated against the exploratory PI absorption spectrum.
Try it in the lab
λₚᵢ

PI absorption peak

nm
Exploratory

The excitation wavelength at which the modeled photoinitiator response is strongest.

Turn it up
Moves the center of the absorption envelope toward longer wavelengths without changing the optical wavelength itself.
Watch it with
Laser wavelength, focal resolution, source strength, power, and the spectrum of a real photoinitiator.
Inside this model
Centers a normalized Gaussian two-photon response with a fixed 160 nm FWHM. It is an exploratory spectral shape, not a fitted material spectrum.
Try it in the lab
τₚ

Pulse duration

fs
Process input

How long each ultrafast pulse lasts.

Turn it up
Spreads the same pulse energy over more time, lowering the peak-power proxy and the model’s nonlinear source.
Watch it with
Average power, repetition rate, dispersion, photochemistry, and thermal accumulation.
Inside this model
At fixed average power and repetition rate, the source scales approximately with 1/τₚ. Pulse shape and dispersion are not resolved.
Try it in the lab
f

Repetition rate

MHz
Process input

How many pulses arrive each second.

Turn it up
At fixed average power, creates more frequent but less energetic pulses; the current source therefore decreases with 1/f.
Watch it with
Power, pulse duration, radical lifetime, oxygen recovery, and heat accumulation.
Inside this model
Sets pulse energy P/f and peak-power proxy. Individual pulses are summarized rather than temporally resolved one by one.
Try it in the lab
04 / Resin

Resin chemistry and transport

These coefficients control how excitation becomes radicals, how inhibition competes, and how species move through the volume.

p₀

Initial photoinitiator

relative
Exploratory

The starting reservoir of molecules available to create reactive species.

Turn it up
Provides more initiation capacity and delays exhaustion, subject to oxygen inhibition and depletion.
Watch it with
PI depletion, radical yield, oxygen, source strength, and repeated passes.
Inside this model
Initializes the photoinitiator field with a dimensionless relative concentration; it is not a fitted molar concentration.
Try it in the lab
o₀

Boundary oxygen

relative
Exploratory

The oxygen level available at the volume boundary—a replenishable chemical brake on radicals.

Turn it up
Strengthens inhibition and can delay or suppress conversion, especially in weakly exposed or boundary-adjacent regions.
Watch it with
Oxygen quenching, oxygen diffusion, radical yield, power, and scan timing.
Inside this model
Sets the boundary reservoir and initial oxygen field in relative units rather than a calibrated concentration.
Try it in the lab
β

Photoinitiator depletion

T₀⁻¹
Literature-shaped

How quickly exposure consumes the available photoinitiator.

Turn it up
Produces faster depletion, making later exposure less productive even when the optical source is unchanged.
Watch it with
Initial initiator, source strength, pass count, PI diffusion, and radical yield.
Inside this model
Appears in the initiator loss term −βsp using the model’s normalized time scale.
Try it in the lab
η

Radical yield

relative
Exploratory

How efficiently an absorbed excitation creates active radicals in the compact chemistry model.

Turn it up
Generates more radicals from the same source before quenching, loss, and termination act.
Watch it with
Initiator, oxygen quenching, termination, propagation, and source strength.
Inside this model
Multiplies the radical generation term ηsp; it is not a measured quantum yield.
Try it in the lab
δ

Dark radical loss

T₀⁻¹
Exploratory

How quickly radicals disappear even when oxygen and radical–radical termination are separated out.

Turn it up
Shortens radical memory between path samples and reduces conversion accumulated during dark intervals.
Watch it with
Scan speed, path jumps, repetition rate, passes, and propagation.
Inside this model
Applies a linear radical decay term −δr on the normalized chemical clock.
Try it in the lab
q

Oxygen quenching

relative
Literature-shaped

How strongly local oxygen suppresses radical activity.

Turn it up
Makes a given oxygen field more inhibitory and sharpens the competition between exposure and oxygen supply.
Watch it with
Boundary oxygen, oxygen diffusion, radical yield, source strength, and scan dwell.
Inside this model
Controls the coupled oxygen–radical sink qor in the compact reaction system.
Try it in the lab
κ

Bimolecular termination

relative
Exploratory

The rate at which two active radicals meet and terminate one another.

Turn it up
Suppresses high radical concentrations disproportionately and limits runaway peaks.
Watch it with
Radical yield, diffusion, power, dwell time, and propagation.
Inside this model
Applies the nonlinear loss term −κr² with an exploratory dimensionless coefficient.
Try it in the lab
γ

Propagation

T₀⁻¹
Exploratory

How efficiently surviving radicals convert unreacted material into the network-forming state.

Turn it up
Builds conversion faster for the same radical history and approaches saturation sooner.
Watch it with
Radical yield, radical loss, oxygen, gel point, and development resistance.
Inside this model
Controls ∂ₜx = γr(1−x); it compresses a larger polymer reaction network into one conversion rate.
Try it in the lab
Dₒ

Oxygen diffusion

L₀²/T₀
Literature-shaped

How quickly oxygen spreads and replenishes depleted regions.

Turn it up
Smooths oxygen gradients and can restore inhibition more quickly behind a moving focus.
Watch it with
Boundary oxygen, quenching, scan timing, feature size, and volume boundaries.
Inside this model
Scales the spatial Laplacian of the oxygen field on normalized length and time units.
Try it in the lab
Dᵣ

Radical diffusion

L₀²/T₀
Exploratory

How quickly radical activity spreads away from where it was generated.

Turn it up
Broadens and smooths radical fields, potentially lowering local peaks while activating nearby regions.
Watch it with
Radical lifetime, termination, hatch spacing, boundaries, and off-target conversion.
Inside this model
Diffuses the compact radical field; it does not resolve different radical species or chain lengths.
Try it in the lab
Dₚ

Photoinitiator diffusion

L₀²/T₀
Literature-shaped

How quickly photoinitiator concentration redistributes after local depletion.

Turn it up
Refills depleted regions more quickly while spreading concentration gradients into neighbors.
Watch it with
PI depletion, pass timing, initial initiator, feature size, and volume boundaries.
Inside this model
Diffuses one normalized photoinitiator field without material-specific mobility or binding states.
Try it in the lab
05 / Gelation

Gelation and development

These controls decide when conversion counts as a connected network and how aggressively bath-accessible material is removed.

xᵍ

Gel point

conversion
Exploratory

The conversion level used to mark material as a connected, gelled network.

Turn it up
Requires more conversion before material counts as gelled, making survival criteria more demanding.
Watch it with
Propagation, exposure history, development resistance, and weak connections.
Inside this model
Classifies the continuous conversion field for gel statistics; development also depends continuously on conversion.
Try it in the lab
k₀

Base dissolution

T₀⁻¹
Exploratory

The baseline rate at which accessible, weak material loses mass in developer.

Turn it up
Clears underconverted material faster and makes marginal regions less likely to remain.
Watch it with
Development time, gel resistance, bath depth, conversion, and narrow supports.
Inside this model
Sets the base rate in the compact remaining-mass equation; it is not fitted to a specific solvent protocol.
Try it in the lab
aₖ

Gel resistance

dimensionless
Exploratory

How strongly increasing conversion protects material against dissolution.

Turn it up
Makes highly converted regions much more resistant relative to weak regions, sharpening selective development.
Watch it with
Conversion distribution, gel point, base dissolution, and development time.
Inside this model
Places conversion in an exponential resistance factor rather than a binary keep-or-delete rule.
Try it in the lab
tᵈ

Development time

T₀
Process input

How long the calculated structure remains exposed to the development process.

Turn it up
Removes more weak material and opens deeper access, but can erode marginally converted features.
Watch it with
Base dissolution, gel resistance, conversion gradients, access paths, and mechanical effects outside the model.
Inside this model
Advances bath-accessible dissolution for a normalized duration; rinsing, drying, stress, and capillary collapse remain outside scope.
Try it in the lab
06 / Interactions

The six comparisons worth learning first

01Power × speed

Source strength and dwell time can both raise exposure, but they change the chemical clock differently.

02NA × path spacing

A tighter focus can raise central intensity while reducing overlap between neighboring path samples.

03Power × repetition rate × pulse duration

Average power alone does not specify pulse energy or the nonlinear peak-power proxy.

04Oxygen × diffusion × scan timing

Inhibition depends on both how fast oxygen is consumed and how fast it is replenished.

05Radical yield × loss × termination

Generation competes with linear decay, oxygen quenching, and concentration-dependent termination.

06Conversion × resistance × development time

The exposed field becomes a surviving structure only after transport and dissolution act.

07 / Evidence

Physical-looking units do not imply complete calibration

Power, speed, wavelength, numerical aperture, pulse duration, repetition rate, and geometric settings are expressed like experimental inputs. The compact chemistry coefficients use stable relative or normalized units because they are not fitted to a named material and protocol.

Continue through the causal chain

Read the field. Then perturb the model.

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