{"id":1131,"date":"2018-06-13T11:28:00","date_gmt":"2018-06-13T11:28:00","guid":{"rendered":"http:\/\/www.lmp.uni-saarland.de\/?page_id=1131"},"modified":"2020-01-09T13:06:56","modified_gmt":"2020-01-09T13:06:56","slug":"surface-configurations-for-contact-challenge","status":"publish","type":"page","link":"https:\/\/www.lmp.uni-saarland.de\/index.php\/surface-configurations-for-contact-challenge\/","title":{"rendered":"Surface configurations for contact challenge"},"content":{"rendered":"

Real-space representations<\/strong> of the 0.1mm x 0.1mm surface (Fourier representation further below)<\/p>\n

Units for x<\/em>, y<\/em>, and h<\/em>: 0.1 mm<\/strong><\/p>\n

When reading in data and plotting it, make sure it looks like the original representation (modulo symmetry operations, such as a 90 degree rotation), see bottom of this page.<\/p>\n

Format 1<\/strong> (ASCII, xyz)
\n# comments
\nx<\/em>, y<\/em>, h<\/em>
\nx<\/em>, y<\/em>, h<\/em>
\n\u2026
\nempty line after n<\/em> lines, where n<\/em> is the discretization as stated in the name of the file, e.g., n<\/em>=512.
\nsurface.0512\u00d70512.ASCII.xyz.dat<\/a> (11MB)
\nsurface.1024\u00d71024.ASCII.xyz.dat<\/a> (42MB)
\nsurface.2048\u00d72048.ASCII.xyz.dat<\/a> (112MB)
\n<\/p>\n

Format 2<\/strong> (ASCII, matrix form)
\nh<\/em>(x<\/em>=0,y<\/em>=0), h<\/em>(x<\/em>=dX<\/em>,y=0), h<\/em>(x<\/em>=2dX<\/em>,y<\/em>=0), \u2026
\nh<\/em>(x<\/em>=0,y<\/em>=dY<\/em>), h<\/em>(x<\/em>=dX<\/em>,y<\/em>=dY<\/em>), h<\/em>, \u2026
\n\u2026
\ndX<\/em> = dY<\/em> = 0.1mm\/n<\/em>, where n<\/em> is again the discretization, e.g., n<\/em> = 512
\nsurface.0512\u00d70512.ASCII.dat<\/a> (3.3MB)
\nsurface.1024\u00d71024.ASCII.dat<\/a> (14MB)
\nsurface.2048\u00d72048.ASCII.dat<\/a> (80MB)
\n<\/p>\n

Format 3<\/strong> (hdf5, high precision, see https:\/\/www.hdfgroup.org\/HDF5\/<\/a>)
\nsimilar to format 2, get more info on files with h5dump
\nsurface.2048\u00d72048.h5<\/a> (17MB)
\nsurface.4096\u00d74096.h5<\/a> (65MB)
\nsurface.8192\u00d78192.h5<\/a> (257MB)
\n<\/p>\n

Fourier representation<\/strong>
\n# comments
\nqX<\/em>, qY<\/em>, Re{h<\/em>(q<\/strong>)}, Im{h<\/em>(q<\/strong>)}
\nqX<\/em>, qY<\/em>, Re{h<\/em>(q<\/strong>)}, Im{h<\/em>(q<\/strong>)}
\n\u2026
\nqX<\/em> and qY <\/em>are written as integers. Convert into real units via: qX<\/em> \u2192 2 pi qX<\/em> \/ 0.1mm
\nFor the Fourier transform, we use FFTW3. If you use another Fourier transform, make sure to scale h<\/em>(q<\/strong>) such that your surface image looks like the one shown below.<\/p>\n

Format 4<\/strong> (ASCII, high precision)
\nOnly non-zero Fourier coefficients are included to keep the file size small.
\nsurface.Fourier.ASCII.dat<\/a> (74MB)<\/p>\n

Format 5<\/strong> (hdf5, high precision, see\u00a0https:\/\/www.hdfgroup.org\/HDF5\/<\/a>)
\nOnly non-zero Fourier components are included. Get more information on file with h5dump.
\nsurface.Fourier.h5<\/a> (36MB)<\/p>\n

A code generating real-space surfaces for your own desired dimensions can be downloaded here: makeReal.cpp<\/a>.
\nThe code uses the FFTW, which you may have to install. Compile with:
\ng++ makeReal.cpp -std=c++11 -lfftw3 -o makeReal.exe<\/p>\n

Note: Dark areas of shown surface touch the counter face first.<\/p>\n

\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

Real-space representations of the 0.1mm x 0.1mm surface (Fourier representation further below) Units for x, y, and h: 0.1 mm When reading in data and plotting it, make sure it looks like the original representation (modulo symmetry operations, such as a 90 degree rotation), see bottom of this page. Format 1 (ASCII, xyz) # comments … Continue reading Surface configurations for contact challenge<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1131","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/pages\/1131","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/comments?post=1131"}],"version-history":[{"count":13,"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/pages\/1131\/revisions"}],"predecessor-version":[{"id":2041,"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/pages\/1131\/revisions\/2041"}],"wp:attachment":[{"href":"https:\/\/www.lmp.uni-saarland.de\/index.php\/wp-json\/wp\/v2\/media?parent=1131"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}