Hausmannite
Diffraction data computed using the structure from the paper listed below, 
along with the cell parameters refined from the powder pattern of R040090
      Baron V, Gutzmer J, Rundlof H, Tellgren R
      American Mineralogist 83 (1998) 786-793
      The influence of iron substitution on the magnetic properties of hausmannite,
      Mn(Fe,Mn)2O4
      Sample at T = 295 K, natural

      CELL PARAMETERS:   5.7518  5.7518  9.4076   90.000   90.000   90.000
      ALTERNATE SETTING FOR SPACE GROUP: I4_1/amd  

           ATOM        X         Y         Z     OCCUPANCY  ISO(B)
            Mn     0.00000   0.75000   0.12500     1.000     0.700
            Mn     0.00000   0.00000   0.50000     1.000     0.700
            O      0.00000   0.47230   0.25920     1.000     1.000

            X-RAY WAVELENGTH:     1.541838
            BOUNDS ON TWO THETA:    5.0  90.0
            LIMITS IMPOSED ON THE INDICES ARE:  +/-  5 +/-  5 +/-  8
            MAX. ABS. INTENSITY / VOLUME**2:      43.34708041    
            The INTENSITY cut off value is   1.00

               2-THETA      INTENSITY    D-SPACING   H   K   L
                18.08         23.11        4.9073    1   0   1
                29.02         36.91        3.0766    1   1   2
                31.10         15.57        2.8759    2   0   0
                32.52         74.29        2.7533    1   0   3
                36.20        100.00        2.4812    2   1   1
                36.62         13.93        2.4536    2   0   2
                38.27         17.66        2.3519    0   0   4
                44.56         20.00        2.0336    2   2   0
                50.10          6.16        1.8206    2   0   4
                51.07         23.13        1.7883    1   0   5
                54.06          9.68        1.6965    3   1   2
                56.24          8.26        1.6358    3   0   3
                58.70         29.27        1.5728    3   2   1
                60.15         51.76        1.5383    2   2   4
                63.60          2.49        1.4630    1   1   6
                64.84         19.09        1.4380    4   0   0
                68.11          2.92        1.3766    2   0   6
                70.07          5.14        1.3429    3   0   5
                72.57          1.56        1.3027    3   3   2
                73.65          1.40        1.2861    4   2   0
                74.43          9.40        1.2746    4   1   3
                76.84          4.47        1.2406    4   2   2
                77.86          4.15        1.2268    4   0   4
                80.66          5.28        1.1912    2   1   7
                80.95          2.61        1.1876    3   1   6
                81.93          4.07        1.1760    0   0   8
                86.18          2.26        1.1284    4   2   4
                86.94          6.71        1.1206    4   1   5
                89.30          1.95        1.0969    5   1   2
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       XPOW Copyright 1993 Bob Downs, Ranjini Swaminathan and Kurt Bartelmehs
  For reference, see Downs et al. (1993) American Mineralogist 78, 1104-1107.