PbTiO₃ (Lead titanate)

Glasses, oxides and dielectrics anisotropic

2 datasets, together covering 0.45–1.15 µm. Default: Singh et al. 1972: n(o) 0.45–1.15 µm.

Compare datasets

Tick datasets in the list to add them to the plot (up to 12).

Datasets

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith

import lightsmith as ls

# PbTiO3 (Lead titanate): Singh et al. 1972: n(o) 0.45–1.15 µm
pbtio3 = ls.fetch_refractiveindex("main", "PbTiO3", "Singh-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pbtio3.range_nm)  # (450, 1150) nm
eps = pbtio3.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_0c23371e1567/lightsmith"
pbtio3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(pbtio3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (pbtio3/singh-1972-o).

# ... load pbtio3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=pbtio3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=450, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_0c23371e1567/lightsmith?model=drude_lorentz"
pbtio3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

About PbTiO3 (Lead titanate)

Lead titanate (PbTiO₃) is a ferroelectric material known for its exceptional piezoelectric and dielectric properties. Due to these unique characteristics, it is widely used in the fabrication of capacitors, sensors, actuators, and various other electronic components. PbTiO₃ forms the base material for lead zirconate titanate (PZT), one of the most well-researched piezoelectric materials. PZT is a solid solution of PbTiO₃ and PbZrO₃, exhibiting enhanced piezoelectric properties. In the realm of optics, PbTiO₃ thin films have been explored for non-linear optical applications and as an electro-optic modulator material. However, environmental concerns associated with lead have prompted research into lead-free alternatives for many of its applications.

Other names: Lead titanate

API: /v1/materials/mat_8cbc94dea6e5 · slug pbtio3