ShowPtycho in Jupyter#

ShowPtycho is an interactive SSB (single-sideband) aberration explorer for 4D-STEM data. You tune defocus (C10), astigmatism (C12 / phi12), and scan-detector rotation and watch the reconstructed phase and its FFT update live in the notebook.

SSB is a direct (non-iterative) phase retrieval: fast and interactive, but lower quality than iterative multislice ptychography. Use ShowPtycho for quick aberration tuning and review, not as a substitute for a full iterative reconstruction.

To export a standalone HTML viewer you can open without a kernel — the folder ships a double-click ShowPtycho.command launcher, or open index.html in Chrome and grant it the data folder — see Export and run ShowPtycho.

The one rule: always fit before you view#

from quantem.gpu import SSB
from quantem.widget import ShowPtycho

# 1. Open the native source with your microscope calibration.
ssb = SSB.open(
    "scan_master.h5",
    backend="auto",
    semiangle_mrad=30.0,        # convergence semiangle, mrad
    scan_sampling_A=0.264,      # real-space scan step, Angstrom
    voltage_kV=300.0,
    rotation_angle_deg=158.9,   # scan-detector rotation (run find_rotation if unknown)
)

# 2. Fit and refine the aberrations. THIS STEP IS REQUIRED.
result = ssb.find_aberrations(trials=200, refinement="nelder-mead")

# 3. Open the interactive widget — it reuses the prepared GPU session.
ShowPtycho(ssb)

Do NOT skip step 2#

# WRONG — this NEVER fits. It uses whatever aberrations you pass verbatim,
# so the phase and FFT are junk unless your numbers were already perfect.
ShowPtycho(data, semiangle_mrad=30.0, scan_sampling_A=0.264,
           voltage_kV=300.0,
           aberrations={"C10": 78.0, "C12": 17.0, "phi12": 0.5})

ShowPtycho(data, aberrations=...) is a convenience constructor that trusts the aberrations you hand it. It does not fit them. If you want the solver to find the aberrations, build an SSB, call find_aberrations(trials=200, refinement="nelder-mead"), and pass that same prepared ssb object to ShowPtycho(ssb). The returned SSBResult is also available as result for non-interactive analysis through result.phase, result.amplitude, and result.object_wave.

You can confirm the solve ran: the stats bar shows a non-null loss, and the Optuna trials + Nelder-Mead panel at the bottom is populated.

No detector binning#

Build the reconstruction at the native detector size. SSB.open and quantem.gpu.io.load keep every detector pixel; do not bin an array before passing it to SSB(...). Native (e.g. 192x192) is what resolves light columns such as oxygen in a perovskite; binning throws that away. Binning also breaks the HTML export (the browser cannot bin), so keep the whole workflow un-binned.

Region-specific refit (crop)#

A smaller crop often converges more physically than the full field of view: a single global aberration and rotation hold better over a small region, so a crop can resolve oxygen the full FOV cannot.

Two ways to crop:

  • Interactively. Construct the widget with the raw master path so the Crop action appears next to Export/Reset. Enable Crop, drag a rectangle on the phase, then Refit SSB: the widget decodes only that scan region from the HDF5 source, runs 200 optimization trials plus refinement, and replaces the phase/FFT and calibration.

  • In code. Read only the region from the encoded acquisition, then fit as usual:

    from quantem.gpu.io import load
    
    with load("scan_master.h5") as acquisition:
        crop_t = acquisition.read(scan_region=(128, 384, 128, 384))   # 256x256 center crop
    ssb = SSB(
        crop_t,
        semiangle_mrad=30.0,
        scan_sampling_A=0.264,
        voltage_kV=300.0,
        rotation_angle_deg=158.9,
    )
    result = ssb.find_aberrations(trials=200, refinement="nelder-mead")
    ShowPtycho(ssb)
    

    256x256 is a good crop size: small enough for region-specific aberrations, big enough that the phase is not blocky. 128x128 works but displays coarse.

Is your crystal tilted?#

The question. SSB treats the sample as one thin sheet. A real crystal is a few nanometres thick and rarely sits exactly on the zone axis. If it leans, does SSB still see a sharp lattice, and can it tell you how much it leans?

Predict first. A column tilted by 5 mrad through 10 nm of crystal: how far does its bottom sit from its top, compared with a 4 A lattice spacing? Does every lattice direction blur the same way?

for tilt_mrad in (1, 3, 5, 10):
    walk_A = 100.0 * tilt_mrad * 1e-3          # 10 nm = 100 A of depth
    print(f"{tilt_mrad:2d} mrad -> {walk_A:.1f} A walk, {walk_A / 4.0:.0%} of a 4 A spacing")

At 5 mrad the column walks half an angstrom, and only along the tilt: the lattice blurs in one direction and stays sharp in the other. Standard SSB has no depth, so it cannot express this.

The experiment. Simulate a crystal whose tilt you know: BaTiO3 [001], 15 nm thick, leaning by (3, -4) mrad, then reconstruct it both ways. The simulation uses abTEM on the GPU and takes about a minute; no data file is needed.

import abtem
import numpy as np
from ase import Atoms

def tilted_crystal(tilt_mrad=(3.0, -4.0), thickness_A=152.0):
    """abTEM 4D-STEM of BaTiO3 [001] with every atom at depth z shifted by z x tilt (row, col)."""
    abtem.config.set({"device": "gpu"})
    a, cells = 4.0, 9
    layers, box = int(round(thickness_A / a)), cells * a
    basis = [("Ba", (0, 0, 0)), ("Ti", (0.5, 0.5, 0.5)), ("O", (0.5, 0.5, 0)), ("O", (0.5, 0, 0.5)), ("O", (0, 0.5, 0.5))]
    symbols, positions = [], []
    for i in range(cells):
        for j in range(cells):
            for k in range(layers):
                for symbol, (fr, fc, fz) in basis:
                    z = (k + fz) * a
                    symbols.append(symbol)
                    positions.append((((i + fr) * a + z * tilt_mrad[0] * 1e-3) % box,
                                      ((j + fc) * a + z * tilt_mrad[1] * 1e-3) % box, z + 0.5))
    atoms = Atoms(symbols, positions=positions, cell=[box, box, layers * a + 1.0], pbc=True)
    potential = abtem.Potential(atoms, sampling=0.08, slice_thickness=a / 2, projection="infinite", parametrization="lobato")
    probe = abtem.Probe(energy=300e3, semiangle_cutoff=30, defocus=layers * a / 2)   # focused at mid-depth
    scan = abtem.GridScan(start=(2 * a, 2 * a), end=(6 * a, 6 * a), gpts=(64, 64), endpoint=False)
    measurement = probe.scan(potential, scan=scan, detectors=abtem.PixelatedDetector(max_angle=45)).compute()
    return np.asarray(measurement.array, dtype=np.float32), float(measurement.angular_sampling[0])

data, det_mrad = tilted_crystal()
ssb = SSB(data, backend="auto", voltage_kV=300.0, semiangle_mrad=30.0,
          scan_sampling_A=0.25, det_sampling=det_mrad, rotation_angle_deg=0.0)

First the thin-sheet model. Look at the FFT: are the lattice spots equally sharp in every direction?

standard = ssb.find_aberrations(verbose=False)
ShowPtycho(ssb, fft_on=True)

Now let the sample lean. find_aberrations(tilt=True) fits the same aberrations together with a tilt and a depth spread. Compare: which spots sharpened, and did the defocus move?

tilted = ssb.find_aberrations(tilt=True, verbose=False)
ShowPtycho(ssb, fft_on=True)          # opens on the fitted tilt; drag the Sample tilt sliders

What the fit found.

import pandas as pd
pd.concat([standard.report(), tilted.report()])

The tilt comes back as about (3.0, -4.1) mrad, the value built into the simulation, and tilted.tilt_fit_gain is above 1.2: the leaning model explains the data better than the thin sheet. An untilted control crystal gives (-0.3, -0.1) mrad. Reading the table:

  • C10 is now the defocus at the middle of the crystal, so it can differ from the standard fit’s value. This is why tilt and defocus are fitted together: fitting the tilt after the standard fit leaves C10 behind and stalls.

  • depth spread (nm) is how deep the model’s column walk extends, not a measured thickness (the 15.2 nm crystal comes back as 10-13 nm).

  • The tilt is in the scan frame. The Sample tilt panel also shows it in the ptychography object frame, ready to seed a multislice reconstruction.

The model in one line. A slice at depth z sees defocus C10 + z and is shifted by z * tilt. Averaging over depth multiplies each SSB overlap term by a real sinc weight, which falls fastest for spatial frequencies along the tilt: the one-directional blur you predicted. With zero depth every weight is 1 and the model is standard SSB.

When not to trust it.

  • The loss in the stats bar does not reward tilt. Judge by tilt_fit_gain and the FFT, not by the loss.

  • A tilt at the search limit (25 mrad) or a gain close to 1 is not a measurement.

  • One tilt direction can be loosely determined on real films (about 0.6 mrad).

  • The tilt slider is interactive on crops; at a full 512 x 512 scan each update takes a few hundred ms on CUDA.

See the SSB API for find_aberrations(tilt=True), preview(tilt_mrad=..., depth_spread_nm=...) and the evidence behind the defaults.

Checklist#

  1. Leave SSB.open(..., dtype=None) at its default for native detector precision.

  2. Native detector: do not bin.

  3. ssb.find_aberrations(trials=200, refinement="nelder-mead"): the fit is not optional.

  4. Pass the ssb object to ShowPtycho, not data + hand-typed aberrations.

  5. Confirm: stats bar loss is non-null and the trials panel is populated.

  6. Thick or possibly mistilted crystal: also run ssb.find_aberrations(tilt=True) and compare report() rows.