Group Theory pp 403-430 | Cite as

Time Reversal Symmetry


In this chapter we consider the properties of the time reversal operator (Sects. 16.1 and 16.2) and the topic of time reversal symmetry. We then consider the effect of time reversal symmetry on the form of the electronic dispersion relations and this topic is discussed here for the case of no spin (Sect. 16.3) and when the spin–orbit interaction is included (Sect. 16.4). As a second illustration of time reversal symmetry, we consider magnetic space groups in Sect. 16.5, where the time reversal operator itself can become a symmetry element of the group.


Point Group Orbit Interaction Symmetry Operation Symmetry Element Time Reversal Symmetry 
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© Springer-Verlag Berlin Heidelberg 2008

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