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The simple rules don't work with complicated examples. There are non-chiral molecules with "stereocenters", and chiral molecules lacking "stereocenters". The textbook example for your question is 1,4 dichloro cyclohexane (or 1-chloro 4-bromo cyclohexane to get even closer to your example): William Reusch explains this and other cyclohexane cases here: ...


Geometrical isomers are compounds where all atoms are connected to the same atoms but their arrangement in space differs. This does include cis-trans isomers but in the context of coordination compounds also fac-mer isomers ($\ce{[MA3B3]}$ cases). The case of $\ce{[MA4BC]}$ is tricky. In principle, they show the same two possible arrangements that, if $\ce{...

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