view article
Figure 2
The lattice [\Lambda(a,b)] with unit cell (a,b) is the set of complex numbers [z = n+m\rho \exp({i\varphi})], [n,m\in{\bb Z}], [\rho\in{\bb R}], where the unit vector a is chosen as the unity along the real axis x and b is the complex number [b = \rho \exp({i\varphi})]. A rotation of angle ϕ around the origin transforms z into [z\exp({i\phi})] and a mirror [m_{\theta}] passing through the origin and oriented along the direction of angle θ transforms z into [\bar{z}\exp({2i\theta})].

Journal logoFOUNDATIONS
ADVANCES
ISSN: 2053-2733
Volume 79| Part 4| July 2023| Pages 301-317
https://doi.org/10.1107/S2053273323003662
Follow Acta Cryst. A
Sign up for e-alerts
E-alerts
Follow Acta Cryst. on Twitter
Twitter
Follow us on facebook
Facebook
Sign up for RSS feeds
RSS