Dear Chris,
    you don't need the volume, just to divide by (n1*n2*n3).

Best,
D.


On 8/26/21 6:24 AM, Christoph Wolf wrote:
Dear all,

I am converting a wave-function from k to R space using wfck2r.x. There is only 1 k-point (particle in a box of 15*15*15 Ang) and the wfc looks like:

==== e(   8) =    -4.84501 eV ====
      psi = 0.998*[#   2]
     |psi|^2 = 0.999

state #   2: atom   1 (Fe ), wfc  2 (l=0 m= 1)

So this is a "pure s state"; i converte the wfc into real space by using:

    first_k = 1,
    last_k = 1,
    first_band = 8
    last_band = 8

and I get an ".oct" (plain text) file containing on a grid of 144 x 144 x144:

(*-0.885667802907E+01*,  0.607695317678E-16)
( *-0.627285985227E+01*, -0.418670474801E-15)
( -0.291716024900E+01, -0.436306625693E-15)
....
..

if I  understood the manual correctly the order is such that the real part for example:

re[:,:,0]= [ *-8.85667803, * *-6.02698044, * -2.39305522, ..., -12.45808728,  -11.95557896, -10.79190254]

that is the first 144*144 elements belong to z=0, the next to z=1, z=2, 
...z=144.

my volume element would be: (15/0.529)**3/144**3=0.0076 (au^3/grid^3)

if I take the dot product of the complex wfc <psi*|psi>*0.076=25733.51243066387+0j, but should this not be the same as |psi|^2 = 0.999?

This is probably a very stupid and obvious mistake but I have been looking at this for a while now and don't get it...

Best,
Chris
--
Group Leader "Theory of Quantum Systems at Surfaces"
IBS Center for Quantum Nanoscience
Seoul, South Korea

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  Davide Ceresoli
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