Dataset for "Quantum trapping and rotational self-alignment in triangular Casimir microcavities"

# Data and plotting code for "Quantum trapping and rotational self-alignment in triangular Casimir microcavities"

## Contents

calculations: results of scuff-em calculations of triangle dimers for different sizes of edge lengths

experimental: raw data used to plot images in the main text and SI

## Description of the data

The data stored in the calculations directory contain the following files for and from scuff-em calculations:

calculations/final-data-and-plotting: binary .mat files with all relevant data calculated for the publication using scuff-em and associated .m plotting scripts to visualize the data as presented in the main text and SI.

calculations/final-data-and-plotting/tr2-<>.mat: data files for plotting Figure 3 in the main text.

calculations/final-data-and-plotting/plot_triangles_for_different_sizes.m: script to plot above data

calculations/final-data-and-plotting/fld-v5-tri-L4000nm-gap-0.12-v3.mat: data file to plot Figure S8 and elements of Figure 3.

calculations/final-data-and-plotting/plot_for_L4000.m: script to plot Figure S8 and elements of Figure 3.

calculations/input-data-for-calculations: input data to perform scuff-em calculations to obtain above data

calculations/input-data-for-calculations/tri-*: exemplary input file to calculate triangle dimer with edge length L = 4000 nm, gap of 200 nm, relative shift of top triangle to (x,y)=(0,0), i.e. no shift.

calculations/input-data-for-calculations/obj-*: exemplary input files to calculate triangle dimers with relative rotation arouns the z-axis for different edge lengths.

calculations/input-data-for-calculations/mesh-files: mesh files to perform calculations

experimental: raw and processed data use to plot figures in the text and SI

experimental/data-for-main-text-plots/Figure-<>.xlsx: excel files with data used in figure in the main text; the ending denotes the figure number and panel within it

experimental/data-for-SI-figures-spectra/Figure-S<>.xlsx: excel files with data used in the SI figures; the data contain the raw measured spectra and TMM fits

experimental/SI-Videos/SI-Video<>: folders containing videos (figure<>.avi) used to obtain the triangle overlap and angular rotation during diffusion and the data obtain from analysing these videos (data.txt), where the <> refers to the figure number in text or SI; Videos 1-3 were analysed for surface overlap and the data files contain overlap-vs-time; Videos 4-5 were analysed for angular rotation and the data files contain angle-vs-time

## Reproduction of the data

The calculations were performed using scuff-em, see documentation and code for practical details.

The included input data in the *calculations/input-data-for-calculations* contain all used mesh files and input parameters to run the calculations. The exemplary input files should be modified to change the relative position and alignment of the dimer elements. Note, that for the full-shift-and-rotation calculations we used the *tri* mesh file and associated input file. For the non-shifted calculations for different edge lengths we used the *obj* input and mesh files.

Analysis of the videos. Every video is divided into frames using ImageJ. Every image is analysed with a MATLAB code which was written to analyse the angle between two triangle flakes by using contrast in brightness of the edges compared to the background. The extracted data are plotted in the main text figures and SI videos are created by using separate MATLAB code to merged data plotting with the real time video.