Institute of Experimental Mineralogy
                 Russian Academy of Sciences
     -------------------------------------------------
           142432, Chernogolovka, Moscow district
             A.V. Chichagov  +7(496)52-22320

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          ***      W W W - X R A Y P O L       ***
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BERZELIITE

6, t-garnet, s-berzeliite

NaCa(2)Mg(2)[(As,V)O(4)](3)


Cubic  I a3d  Z = 8

R =0.0251          NR =348

8 .10 .25

Ref.Str.:

         N.N. Koshlyakova, I.V. Pekov, N.V. Zubkova, A.A. Agakhanov,

         A.G. Turchkova, P.M. Kartashov, E.G. Sidorov, D.Yu. Pushcharovsky

         (2020) * Zapiski RMO, 6, 69-84, DOI:10.31857/S0869605520060040

         L: $Ca2.05 Na0.95 Mg2.0 As2.35 V0.60 Si0.05 O12$

         R: Locality - Arsenatnaya fumarole, Tolbachik volcano, Kamchatka, Russia.

         N.A.D.

                   Initial data from BDM-file 

   Lattice parameters (cub. angs.,degr.):

             a =  12.3609   alpha =   90.0 
             b =  12.3609   beta  =   90.0 
             c =  12.3609   gamma =   90.0 

    Unit cell volume (cub. angs.) =  1888.66

    Molar volume ( cub.cm/mol.) =   142.2 

  Co-ordinates, thermal parameters, occupation for atomic positions:

NoP   x/a     y/b     z/c    B(j)   atom  / occupation

   1 0.125   0.0     0.25     0.0    Ca    = 0.68, Na    = 0.32
   2 0.0     0.0     0.0      0.0    Mg    = 1.00
   3 0.375   0.0     0.25     0.0    As    = 0.78, V     = 0.2 , Si    = 0.02
   4 0.0386  0.0509  0.6561   0.0    O     = 1.00


  Co-ordinates for all atomic positions :

   No       NoP      x/a        y/b       z/c 

     1       1     0.125      0.0        0.25  
     2       2     0.0        0.0        0.0   
     3       3     0.375      0.0        0.25  
     4       4     0.0386     0.0509     0.6561
     5       1     0.875      0.0        0.75  
     6       3     0.625      0.0        0.75  
     7       4     0.9614     0.9491     0.3439
     8       1     0.75       0.375      0.0   
     9       1     0.375      0.0        0.75  
    10       1     0.75       0.625      0.5   
    11       2     0.75       0.25       0.75  
    12       2     0.5        0.0        0.5   
    13       2     0.75       0.75       0.25  
    14       3     0.75       0.625      0.0   
    15       3     0.125      0.0        0.75  
    16       3     0.75       0.375      0.5   
    17       4     0.6991     0.2886     0.4061
    18       4     0.4614     0.9491     0.1561
    19       4     0.8009     0.7114     0.9061
    20       1     0.75       0.125      0.5   
    21       1     0.625      0.0        0.25  
    22       1     0.75       0.875      0.0   
    23       3     0.75       0.875      0.5   
    24       3     0.875      0.0        0.25  
    25       3     0.75       0.125      0.0   
    26       4     0.8009     0.2114     0.0939
    27       4     0.5386     0.0509     0.8439
    28       4     0.6991     0.7886     0.5939
    29       2     0.0        0.0        0.5   
    30       4     0.9614     0.0509     0.1561
    31       4     0.0386     0.9491     0.8439
    32       1     0.25       0.375      0.5   
    33       1     0.25       0.625      0.0   
    34       2     0.25       0.25       0.25  
    35       2     0.5        0.0        0.0   
    36       2     0.25       0.75       0.75  
    37       3     0.25       0.625      0.5   
    38       3     0.25       0.375      0.0   
    39       4     0.3009     0.2886     0.9061
    40       4     0.5386     0.9491     0.6561
    41       4     0.1991     0.7114     0.4061
    42       1     0.25       0.125      0.0   
    43       1     0.25       0.875      0.5   
    44       3     0.25       0.875      0.0   
    45       3     0.25       0.125      0.5   
    46       4     0.1991     0.2114     0.5939
    47       4     0.4614     0.0509     0.3439
    48       4     0.3009     0.7886     0.0939
    49       1     0.375      0.5        0.25  
    50       2     0.5        0.5        0.5   
    51       3     0.125      0.5        0.25  
    52       4     0.4614     0.4491     0.8439
    53       1     0.625      0.5        0.75  
    54       3     0.875      0.5        0.75  
    55       4     0.5386     0.5509     0.1561
    56       1     0.125      0.5        0.75  
    57       2     0.0        0.5        0.0   
    58       3     0.375      0.5        0.75  
    59       4     0.0386     0.5509     0.3439
    60       1     0.875      0.5        0.25  
    61       3     0.625      0.5        0.25  
    62       4     0.9614     0.4491     0.6561
    63       2     0.5        0.5        0.0   
    64       4     0.5386     0.4491     0.3439
    65       4     0.4614     0.5509     0.6561
    66       2     0.0        0.5        0.5   
    67       4     0.9614     0.5509     0.8439
    68       4     0.0386     0.4491     0.1561
    69       1     0.0        0.25       0.125 
    70       3     0.0        0.25       0.375 
    71       4     0.0509     0.6561     0.0386
    72       4     0.6561     0.0386     0.0509
    73       1     0.0        0.75       0.875 
    74       3     0.0        0.75       0.625 
    75       4     0.9491     0.3439     0.9614
    76       4     0.3439     0.9614     0.9491
    77       1     0.0        0.75       0.375 
    78       1     0.5        0.75       0.625 
    79       3     0.0        0.75       0.125 
    80       3     0.5        0.75       0.375 
    81       4     0.2886     0.4061     0.6991
    82       4     0.4061     0.6991     0.2886
    83       4     0.9491     0.1561     0.4614
    84       4     0.1561     0.4614     0.9491
    85       4     0.7114     0.9061     0.8009
    86       4     0.9061     0.8009     0.7114
    87       1     0.5        0.75       0.125 
    88       1     0.0        0.25       0.625 
    89       3     0.5        0.75       0.875 
    90       3     0.0        0.25       0.875 
    91       4     0.2114     0.0939     0.8009
    92       4     0.0939     0.8009     0.2114
    93       4     0.0509     0.8439     0.5386
    94       4     0.8439     0.5386     0.0509
    95       4     0.7886     0.5939     0.6991
    96       4     0.5939     0.6991     0.7886
    97       4     0.0509     0.1561     0.9614
    98       4     0.1561     0.9614     0.0509
    99       4     0.9491     0.8439     0.0386
   100       4     0.8439     0.0386     0.9491
   101       1     0.5        0.25       0.375 
   102       3     0.5        0.25       0.625 
   103       4     0.2886     0.9061     0.3009
   104       4     0.9061     0.3009     0.2886
   105       4     0.9491     0.6561     0.5386
   106       4     0.6561     0.5386     0.9491
   107       4     0.7114     0.4061     0.1991
   108       4     0.4061     0.1991     0.7114
   109       1     0.5        0.25       0.875 
   110       3     0.5        0.25       0.125 
   111       4     0.2114     0.5939     0.1991
   112       4     0.5939     0.1991     0.2114
   113       4     0.0509     0.3439     0.4614
   114       4     0.3439     0.4614     0.0509
   115       4     0.7886     0.0939     0.3009
   116       4     0.0939     0.3009     0.7886
   117       4     0.4491     0.8439     0.4614
   118       4     0.8439     0.4614     0.4491
   119       4     0.5509     0.1561     0.5386
   120       4     0.1561     0.5386     0.5509
   121       4     0.5509     0.3439     0.0386
   122       4     0.3439     0.0386     0.5509
   123       4     0.4491     0.6561     0.9614
   124       4     0.6561     0.9614     0.4491
   125       4     0.4491     0.3439     0.5386
   126       4     0.3439     0.5386     0.4491
   127       4     0.5509     0.6561     0.4614
   128       4     0.6561     0.4614     0.5509
   129       4     0.5509     0.8439     0.9614
   130       4     0.8439     0.9614     0.5509
   131       4     0.4491     0.1561     0.0386
   132       4     0.1561     0.0386     0.4491
   133       2     0.25       0.25       0.75  
   134       2     0.25       0.75       0.25  
   135       4     0.3009     0.2114     0.4061
   136       4     0.1991     0.7886     0.9061
   137       4     0.1991     0.2886     0.0939
   138       4     0.3009     0.7114     0.5939
   139       2     0.75       0.25       0.25  
   140       2     0.75       0.75       0.75  
   141       4     0.6991     0.2114     0.9061
   142       4     0.8009     0.7886     0.4061
   143       4     0.8009     0.2886     0.5939
   144       4     0.6991     0.7114     0.0939
   145       4     0.7114     0.0939     0.6991
   146       4     0.5939     0.8009     0.2886
   147       4     0.2886     0.5939     0.8009
   148       4     0.0939     0.6991     0.7114
   149       4     0.7886     0.4061     0.8009
   150       4     0.9061     0.6991     0.2114
   151       4     0.2114     0.9061     0.6991
   152       4     0.4061     0.8009     0.7886
   153       4     0.7114     0.5939     0.3009
   154       4     0.0939     0.1991     0.2886
   155       4     0.2886     0.0939     0.1991
   156       4     0.5939     0.3009     0.7114
   157       4     0.7886     0.9061     0.1991
   158       4     0.4061     0.3009     0.2114
   159       4     0.2114     0.4061     0.3009
   160       4     0.9061     0.1991     0.7886


X-ray density (g/cm cub.)   =      3.88

MU (1/cm) =     280.128    Mass attenuation coefficient (cm**2/g) =     72.173

 Selected interatomic distances (cation-anion,anion-anion):

 NoP    Atom              Rad.sph.      C.N.    Distance     NoP N.
                           (angs.)               (angs.)

    1   Ca   ,Na             2.88         8
                                                 2.4151       4
                                                 2.4151       4
                                                 2.536        4
                                                 2.536        4
                                                 2.4151       4
                                                 2.536        4
                                                 2.536        4
                                                 2.4151       4
    2    Mg                  2.52         6
                                                 2.0852       4
                                                 2.0852       4
                                                 2.0852       4
                                                 2.0852       4
                                                 2.0852       4
                                                 2.0852       4
    3   As   ,V    ,Si       2.496        4
                                                 1.698        4
                                                 1.698        4
                                                 1.698        4
                                                 1.698        4
    4    O                   3.264        9
                                                 2.6403       4
                                                 2.9088       4
                                                 2.9512       4
                                                 2.8367       4
                                                 2.9466       4
                                                 2.9512       4
                                                 2.9466       4
                                                 2.8367       4
                                                 2.9526       4

  X-ray diffraction powder data (II),  X-Ray W.L. =   1.54056(angs.):

  No   H   K   L   Theta 2*Theta    S       LPG   MF        F          I int.
                    ( degree )                                         *100

    1   1   1   2  8.78   17.56    0.099   82.9    24      131.0      956.9
    2   2   2   0 10.152  20.303   0.114   61.47   12      147.3      448.5
    3   3   2   1 13.483  26.967   0.151   33.94   48      117.7      632.4
    4   4   0   0 14.434  28.868   0.162   29.36    6      484.1     1157.4
    5   4   2   0 16.182  32.363   0.181   22.97   24      565.5     4943.1
    6   3   3   2 16.995  33.99    0.19    20.65   24      252.2      884.0
    7   2   2   4 17.775  35.55    0.198   18.73   24      288.4     1047.7
    8   4   3   1 18.527  37.054   0.206   17.1    48      124.9      359.2
    9   5   2   1 19.957  39.914   0.222   14.5    48       13.3        3.5
   10   4   4   0 20.641  41.282   0.229   13.46   12      209.9      199.4
   11   1   1   6 22.59   45.181   0.249   10.99   24       81.4       48.9
   12   5   3   2 22.59   45.181   0.249   10.99   48       23.3        8.0
   13   6   2   0 23.211  46.422   0.256   10.33   24       20.9        3.0
   14   5   4   1 23.819  47.638   0.262    9.75   48       23.4        7.2
   15   6   3   1 25.002  50.003   0.274    8.73   48      112.9      149.6
   16   4   4   4 25.578  51.156   0.28     8.29    8      675.4      848.0
   17   5   4   3 26.145  52.289   0.286    7.88   48       34.6       12.7
   18   6   4   0 26.703  53.406   0.292    7.51   24      547.4     1514.9
   19   3   3   6 27.253  54.507   0.297    7.17   24       40.3        7.8
   20   5   5   2 27.253  54.507   0.297    7.17   24       48.3       11.2
   21   7   2   1 27.253  54.507   0.297    7.17   48       78.6       59.7
   22   6   4   2 27.796  55.592   0.303    6.86   48      420.0     1628.1
   23   6   5   1 29.385  58.77    0.319    6.05   48       73.9       44.5
   24   7   3   2 29.385  58.77    0.319    6.05   48      111.8      101.7
   25   8   0   0 29.903  59.805   0.324    5.82    6      671.8      441.4
   26   7   4   1 30.415  60.829   0.329    5.6    48       74.8       42.1
   27   8   2   0 30.922  61.844   0.334    5.4    24       37.5        5.1
   28   6   5   3 31.424  62.848   0.338    5.21   48      152.3      162.7
   29   2   2   8 31.922  63.844   0.343    5.03   24       66.9       15.1
   30   6   6   0 31.922  63.844   0.343    5.03   12      141.5       33.9
   31   7   4   3 32.416  64.832   0.348    4.87   48       35.1        8.1
   32   8   3   1 32.416  64.832   0.348    4.87   48       19.2        2.4
   33   7   5   2 33.392  66.783   0.357    4.57   48      127.5      100.0
   34   8   4   0 33.874  67.748   0.362    4.43   24      344.0      352.9
   35   8   4   2 34.829  69.659   0.371    4.19   48      422.4     1004.8
   36   5   5   6 35.302  70.605   0.375    4.07   24       34.9        3.3
   37   7   6   1 35.302  70.605   0.375    4.07   48      157.6      136.2
   38   9   2   1 35.302  70.605   0.375    4.07   48       67.8       25.2
   39   6   6   4 35.773  71.546   0.379    3.97   24      306.4      250.7
   40   7   5   4 36.241  72.481   0.384    3.87   48       78.1       31.7
   41   8   5   1 36.241  72.481   0.384    3.87   48       74.1       28.6
   42   7   6   3 37.169  74.339   0.392    3.69   48       67.7       22.7
   43   9   3   2 37.169  74.339   0.392    3.69   48       42.1        8.8
   44   4   4   8 37.63   75.261   0.396    3.61   24       63.8        9.9
   45   8   5   3 38.09   76.179   0.4      3.53   48       97.7       45.3
   46   9   4   1 38.09   76.179   0.4      3.53   48       99.4       46.9
   47   8   6   0 38.547  77.094   0.405    3.46   24       10.4        0.2
   48   1   1  10 39.003  78.006   0.409    3.39   24      126.6       36.5
   49   7   7   2 39.003  78.006   0.409    3.39   24       26.1        1.5
   50   8   6   2 39.457  78.914   0.413    3.33   48      147.5       97.3
   51  10   2   0 39.457  78.914   0.413    3.33   24      214.8      103.2
   52   9   4   3 39.91   79.819   0.416    3.27   48       64.7       18.4
   53   7   6   5 40.812  81.623   0.424    3.16   48       18.7        1.5
   54   9   5   2 40.812  81.623   0.424    3.16   48       88.9       33.6
   55  10   3   1 40.812  81.623   0.424    3.16   48       66.1       18.6
   56   8   7   1 41.709  83.418   0.432    3.07   48       13.5        0.8
   57   8   6   4 42.157  84.313   0.436    3.02   48      366.1      545.4
   58  10   4   0 42.157  84.313   0.436    3.02   24      399.7      325.1
   59   3   3  10 42.604  85.207   0.439    2.99   24       33.9        2.3
   60   9   6   1 42.604  85.207   0.439    2.99   48       64.0       16.4
   61  10   4   2 43.05   86.1     0.443    2.95   48      315.8      395.8
   62   8   7   3 43.496  86.991   0.447    2.92   48       48.5        9.2
   63   9   5   4 43.496  86.991   0.447    2.92   48       24.5        2.3
   64   9   6   3 44.386  88.773   0.454    2.86   48       40.1        6.2
   65  10   5   1 44.386  88.773   0.454    2.86   48       51.8       10.3
   66  11   2   1 44.386  88.773   0.454    2.86   48       55.0       11.6
   67   8   8   0 44.831  89.663   0.458    2.84   12      677.5      438.1


  X-ray diffraction powder data (I)...X-Ray wave length =  1.54056 (angs.):

  No   H   K   L   Theta 2*Theta    d           I int   I int.n.  I p.h.n.   H(Si)
                    ( degree )   (angstrem)     *100                         *100

    1   1   1   2   8.78   17.56   5.04633      956.9     19.4     19.6     5.6
    2   2   2   0  10.152  20.303  4.37025      448.5      9.1      9.2     5.6
    3   3   2   1  13.483  26.967  3.3036       632.4     12.8     12.9     5.6
    4   4   0   0  14.434  28.868  3.09023     1157.4     23.4     23.5     5.6
    5   4   2   0  16.182  32.363  2.76399     4943.1    100.0    100.0     5.6
    6   3   3   2  16.995  33.99   2.63536      884.0     17.9     17.9     5.7
    7   2   2   4  17.775  35.55   2.52316     1047.7     21.2     21.1     5.7
    8   4   3   1  18.527  37.054  2.42418      359.2      7.3      7.2     5.7
    9   4   4   0  20.641  41.282  2.18512      199.4      4.0      4.0     5.7
   10   1   1   6  22.59   45.181  2.00521       57.0      1.2      1.1     5.7
   11   6   3   1  25.002  50.003  1.82252      149.6      3.0      3.0     5.7
   12   4   4   4  25.578  51.156  1.78415      848.0     17.2     16.8     5.8
   13   6   4   0  26.703  53.406  1.71415     1514.9     30.6     30.0     5.8
   14   7   2   1  27.253  54.507  1.68211       78.8      1.6      1.6     5.8
   15   6   4   2  27.796  55.592  1.6518      1628.1     32.9     32.1     5.8
   16   7   3   2  29.385  58.77   1.56984      146.2      3.0      2.9     5.8
   17   8   0   0  29.903  59.805  1.54512      441.4      8.9      8.7     5.8
   18   6   5   3  31.424  62.848  1.47741      162.7      3.3      3.2     5.9
   19   7   5   2  33.392  66.783  1.3996       100.0      2.0      1.9     5.9
   20   8   4   0  33.874  67.748  1.38199      352.9      7.1      6.8     5.9
   21   8   4   2  34.829  69.659  1.34869     1004.8     20.3     19.4     5.9
   22   9   2   1  35.302  70.605  1.33291      164.7      3.3      3.2     5.9
   23   6   6   4  35.773  71.546  1.31768      250.7      5.1      4.8     5.9
   24   7   5   4  36.241  72.481  1.30296       60.3      1.2      1.2     5.9
   25   9   4   1  38.09   76.179  1.24864       92.2      1.9      1.8     6.0
   26  10   2   0  39.457  78.914  1.21209      200.5      4.1      3.8     6.0
   27  10   3   1  40.812  81.623  1.17857       53.7      1.1      1.0     6.1
   28   8   6   4  42.157  84.313  1.14768      870.5     17.6     16.3     6.1
   29  10   4   2  43.05   86.1    1.12839      395.8      8.0      7.4     6.1
   30   8   8   0  44.831  89.663  1.09256      438.1      8.9      8.1     6.2

Reference:
Chichagov A.V. et al.
Information-Calculating System on Crystal Structure Data of Minerals
(MINCRYST)
- Kristallographiya, v.35, n.3, 1990, p.610-616 (in Russian)