Dear Prof. Johnson and MPB user,
  
 For a noraml W1 waveguide, the K-path in MPB is defined like this:
=============================================
(define Gamma (vector3 0 0 0))
(define K' (lattice->reciprocal (vector3 0.5 0 0)))
(set! k-points (interpolate 50 (list Gamma K')))
==============================================
      but how about the repeated unit takes 2 lattice constant? how to define 
the K-path? see attached.
        I have tried to decrease the reciprocal lattice to 1/2 of its previous 
value, but the result is wrong. 
  
       I have rather bad knowledge for reciprocal space. I read your book but I 
can not solve it. please help me. 
       Thank you.
  
 Sincerely 
                    
                     Ran

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