Hi Alex

In that same tutorial is mentioned that the k-points are in the basis of the reciprocal lattice vectors. It's a little confusing but is kind of the same issue you get outputting the dielectric function with a triangular lattice.

Rafael


El 02/06/14 08:06, Alex escribió:
Dear MPB users and developers.
I was little confused after observation dispersion curves of 2D
hexagonal photonic crystal. Maximum k-vector value at Gamma-K
direction was 0.47 (2pi/a), not 0.5 (2pi/a).
I guess the cuase of this in MPB example code*:
"(set! k-points (list (vector3 0 0 0)  ; Gamma

                      (vector3 0 0.5 0)        ; M
                      (vector3 (/ -3) (/ 3) 0) ; K
                      (vector3 0 0 0)))        ; Gamma
(set! k-points (interpolate 4 k-points))"

Gamma-K vector length is (2*(1/3)^2)^0.5=0.471
My question is: Why K point was set  (vector3 (/ -3) (/ 3) 0) not
(vector3 (/ -0.5 (sqrt 2)) (/ 0.5 (sqrt 2)) 0)?

*URL: 
http://ab-initio.mit.edu/wiki/index.php/MPB_User_Tutorial#Bands_of_a_Triangular_Lattice

Alex Friman,
LPI RAS

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