Cross sections · energy loss · electron yield

Electron Transport, Scattering, and Emission

Physics libraries and Monte Carlo studies of elastic and inelastic scattering, backscattering, secondary-electron emission, and photoelectron escape.

TransportElastic modelInelastic modelQuantifyBenchmark

Goal

Why this problem matters

The research is organised by scientific question rather than career stage, so the methods and results form one continuous programme.

01

Build reliable electron-transport predictions for semiconductor metrology, surface analysis, and nanostructured materials.

02

Understand how cross sections, energy-loss functions, material composition, and geometry shape measurable electron yields.

Method

How the problem is approached

  1. 01

    Transport

    Sample elastic deflection and inelastic energy-loss events along Monte Carlo electron trajectories.

  2. 02

    Elastic model

    Use Salvat's ELSEPA code to calculate Mott elastic cross sections across 384 combinations of nuclear charge distribution, electron density, exchange, correlation-polarisation, and solid-state atomic potentials; this code was used, not authored in this work.

  3. 03

    Inelastic model

    Compare full Penn, super-extended Mermin, and Levine–Louie inelastic formalisms with four available optical ELF datasets, giving a broader catalogue of 12 inelastic combinations.

  4. 04

    Quantify

    Combine the elastic and inelastic model spaces with reported work functions and electron-affinity values to quantify sensitivity and identify defensible model choices.

  5. 05

    Benchmark

    Benchmark simulated yields and backscattering coefficients against experimental records across bulk and structured targets.

Results

What the programme has established

  1. Result 01Quantified secondary-electron emission from silicon across the full physical-model space used in the study.
  2. Result 02Computed emission and backscattering behaviour for germanium and Cr, Co, and Pd solids.
  3. Result 03Modelled CD-SEM signals from wave-type structures and photoelectron transport in non-spherical core–shell particles.
  4. Result 04Used uncertainty quantification to identify which elastic and inelastic combinations were physically defensible and which dominated the spread.
  5. Result 05Extended the programme to spatially resolved secondary-electron emission in multiwall carbon nanotubes; that manuscript remains in preparation.

Scientific animation

The mechanism, made visible

This interactive figure is an explanatory schematic. It is clearly separated from the peer-reviewed quantitative figures below.

Conceptual visualization

Electron transport through a structured surface

A primary electron enters a layered surface, scatters through the material, and may leave as a backscattered electron or generate lower-energy secondary electrons.

Ready
  • Primary electronIncident or backscattered trajectory
  • Elastic scatteringChanges the primary-electron direction
  • Inelastic scatteringTransfers energy and can create a secondary excitation
  • Secondary electronLower-energy electron leaving the solid
  • Material geometryLayered surface represented explicitly
View
Electron–solid interaction
Current event
Secondary and backscattered emissionIllustrative process stage
Physics
Transport + emission
Numbers
Not simulated hereNo illustrative path is presented as measured data
Conceptual transport views based on Monte Carlo electron–solid interaction and scattering workflows; geometry and paths are explanatory rather than measured.

Evidence

Figures from the research

Each figure is placed beside the scientific programme it supports rather than repeated in a separate gallery.

Incident, backscattered, and secondary electrons resolved into elastic and inelastic events.Concept
Primary and cascade-secondary trajectories striking a Pt/Cr wave grating.CD-SEM
Silicon energy-loss surfaces calculated with three dielectric-response formalisms.Energy loss
Secondary-electron, backscattering, and total-electron yields compared with experiment.Germanium
Simulated coefficients for clean and carbon-contaminated surfaces compared with measurements.Metals
Photoelectron trajectories showing which signals escape a carbon-core, gold-shell particle.XPS
Spatial density of excited and emitted secondary electrons across a multiwall carbon nanotube.Work in progress
Secondary-electron yield as a function of wall count for several nanotube diameters.Work in progress
An experimental SEM field of interest and averaged line scan used for model-based measurement.Application
Simulated line scans from wave-type Au/Si and Si/Si structures.Early work

Publications

Related scholarly work

01
Journal of Applied Physics2025

Monte Carlo study of the electron emission yields of germanium

H. I. Imtiaz, Y. B. Zou, S. F. Mao, M. S. S. Khan, Z. J. Ding

02
Journal of Applied Physics2024

Electron backscattering coefficients for Cr, Co, and Pd solids: a Monte Carlo study

H. I. Imtiaz, M. S. S. Khan, A. Hussain, S. F. Mao, Y. B. Zou, Z. J. Ding

03
Vacuum2023

An extensive theoretical quantification of secondary-electron emission from silicon

M. S. S. Khan, S. F. Mao, Y. B. Zou, D. B. Lu, B. Da, Y. G. Li, Z. J. Ding

04
Physical Chemistry Chemical Physics2023

A theoretical characterization method for non-spherical core–shell nanoparticles by XPS

J. M. Gong, M. S. S. Khan, B. Da, H. Yoshikawa, S. Tanuma, Z. J. Ding

05
Scientific Reports2022

Influence of energy-loss function on the Monte Carlo simulated electron backscattering coefficient

H. Chen, Y. B. Zou, S. F. Mao, M. S. S. Khan, K. Tőkési, Z. J. Ding

06
Journal of Physics D: Applied Physics2021

CD-SEM characterization of smoothly varying wave structures with a Monte Carlo simulation

M. S. S. Khan, L. H. Yang, X. Deng, S. F. Mao, Y. B. Zou, Y. G. Li, H. M. Li, Z. J. Ding

07
Journal of University of Science and Technology of China2019

Monte Carlo simulation of secondary-electron emission from wave-type structure

M. S. S. Khan, Y. B. Zou, C. Li, Z. J. Ding

08
Measurement2018

Use of a model-based library in critical-dimension measurement by CD-SEM

Y. B. Zou, M. S. S. Khan, H. M. Li, Y. G. Li, W. Li, S. T. Gao, L. S. Liu, Z. J. Ding

View all publications →