Isotropy subgroup [1] This blog contains some key notes for reading the lecture notes by H. Stokes, et al. [1] on isotropy subgroup. Details about the lecture notes will not be reproduced here and instead we will just put down some key understanding as below, Two subspaces are equivalent if the basis vectors for each can be set up in such a way that they are associated with the same representation. The reason why the two subspaces are equivalent is that it is actually the linear combination coefficients that appear in front of the basis vectors that determines how the symmetry is lowered. Even though the basis vectors of the two subspaces may be very different, the same linear combination of basis vectors still lead to the same variation of symmetry, e.g., lowering the space group from \(G\) to its subgroup \(G'\). This might be the reason why subgroups associated with vectors in parameter space are called isotropy subgroup -- atomic distortions in the two equivalent subspaces cou
I was following the instructions presented in Ref [1, 2] to set up the OwnCloud server on Windows with WSL. Specifically, steps [1-8] in Ref. [1] were followed exactly - the installation for WSL was, however, installed separately. Then concerning the SQL database setup, the 'MySQL' section in Ref. [2] was followed. Also, the installation of ownCloud server refers to the 'Download ownCloud' section in Ref. [2] as well. All steps beyond steps [1-8] in Ref. [1] and 'MySQL' and 'Download ownCloud' in Ref. [2] were skipped. To access the configuration of owncloud, refer to the section 'Configure ownCloud' in Ref. [2]. 👉Ports configuration Refer to the following links to gist for configuration files concerning the ports configuration, /etc/apache2/ports.conf /etc/apache2/sites-enabled/000-default.conf 👉Connection to WSL Apache server from outside (i.e., beyond localhost) This link provide detailed explanation about the IP address assignment scheme f