Tabulated Diffraction Data for Hexagonal Isomorphs L. K. FREVEL AND H. W. RINN The Dow Chemical Co., Midland, Mich. To extend the systematic identification of crystalline compounds by isomorphism beyond the cubic system and tetragonal system, the authors have tabulated 117 hexagonal prototype structures, arranged 1287 hexagonal substances according to the ascending order of their axial ratios, and obtained representative powder diffraction patterns for 53 hexagonal structures. These data are useful for verifying standard powder patterns and for identifying solids by x-ray diffraction methods.
C
HEMICAL identification of crystalline compounds by isomorphism depends for its applicability on a systematic arrangement of the representative diffraction patterns of the various known crystal structures. The tabulations of the cubic structures (6) and the tetragonal structures (8) have proved useful in the phase identification of solids when the requisite powder diffraction standards are not found in the literature. The utility of this method has now been extended to the hexagonal system. The procedure for comparing diffraction patterns of isomorphous substances has been described previously ( 7 ) ; hence only the tabulated diffraction data for hexagonal isomorphs are reported in this paper. Figures 1 to 6 exhibit 53 repreqentative powder diffraction diagrams corresponding to 53 hexagonal structures. The diagrams are designated as in the “Struktuibericht” (6, 9-12?) and are arranged in sets starting with the A-structures pertaining to elements and ending with the 0-structures for organic compounds. Within each set the simplest structure with the highest symmetry is listed first. The averaged relative intensities, based on the Dow file of standards, refer to Debye-Schemer-Hull patterns taken with filtered MoKa radiation and with filtered CuKa radintion corrected for B dependence. The variations in relative intensities to be expected are illustrated in Table I. For each structure only reflections compatible with its hexagonal space group are shown. Some 25 compounds were synthesized and their powder diffraction patterns carefully indexed in order to obtain more representative relative intensities for those structures for which only two or three isomorphs had been qtudied. GENERAL PROCEDURE FOR IDENTIFYING NONCATALOGUED PAlTERN
1. Using the log d scale a t bottom of Figure 1, plot the log d values and corresponding relative intensities of the unidentified pattern on a narrow strip of paper. 2. Verify that the pattern is noncubic (6). 3. Find an isomorphic prototype among the representative diffraction patterns for the anisotropic crystal structures. 4. Compute the lattice constants and check the appro riate classification tables (for the hexagonal system refer to T a b g s IV and V). 5. Confirm the identification of the unknown phase by a qualitative spectroscopic analysis or by chemical tests,
The following example illustrates the procedure. Columns 1 and 2 of Table I1 list the diffraction data of a water-soluble white powder submitted for analysis. To establish if the sample is multicomponent, a 50-mg. portion of the h e powder was leached in a 0.3-ml. test tube with approximately 0.05 ml. of distilled water. The slushy crystal mas8 was stirred with a fine Nichrome wire, and approximately0.02 ml. of solution was removed with a micro eyedropper, the tip of which was covered with a small piece of cotton. The solid obtained from the evaporated drop of filtrate was examined by x-ray powder diffraction and identified as potassium bromide. A semiquantitative spectroscopic analysis of the original powder showed 10 to 25% potassium and listed
the following trace impurities: sodium, aluminum, calcium, silica (0.1 to 0.3%); iron, magnesium, copper (0.01 to 0.1%). As the unidentified powder lines of the original sample could not be matched with published x-ray powder diffraction standards, an attempt was made to establish isomorphism with one of the standard crystal structures. After plotting the log d values of the first 20 unidentified lines on a strip of paper and marking the stronger lines, one begins with the cubic system and finds that no satisfactory match can be found with the stronger lines unless one assumes several cubic phases with lattice constants greater than 10 A. Proceeding to the tetragonal system, one finds an approximate match for ten lines out of the first seventeen a t c/a = 1.23, a = 6.31 A., and c = 7.74 A. However, no substance is listed for these lattice constants (8). Another approximate fit is located a t c / a = 1.17, a = 8.45 A., and e = 9.85 A. No tetragonal stlbstance with these lattice constants is listed, and again one is left with unindexed lines. In neither case can an approximate intensity match be found with any of the 40 representative diffraction patterns for tetragonal structures (8). To index all the unidentified powder lines in the tetragonal system would require unreasonably large lattice constants. It is very probable, however, that the unidentified powder lines pertain to a single phase, because the relative intensities of these lines (referred to the 4.91 A. spacing as the strongest line) do not vary appreciably in the following three patterns: original sample, undissolved part from water leach, and recrystallized sample of undissolved part. Examination of the original sample under the polarizing microscope revealed that the powder is too h e l y subdivided for phase identification. However, recrystallization from water produced sufficiently large crystals to establish the presence of a uniaxial phase. Using the same log d strip as for the tetragonal system, one attempts to index the unidentified lines on the hexagonal patterns of Figures 1to 6. A systematic way of finding a prototype structure is to match successively the strongest line of the unidentified phase against the first, second, or third most intense line of the representative patterns. Then one follows the same procedure with the second strongest line and, if necessary, the third line. The first reasonable fit with the data is noted for the &KzUF6 structure with c / a = 0.65 ( a = 9.8 A. and c = 6.3 A). However, the intensity agreement is not satisfactory. Under structure pl-K2UFs in Table IV no compounds are listed with c / a = 0.65. Structure Kll permits ready indexing of all the lines a t c/a = 0.64 ( a = 9.80 A., c = 6.29 A , ) and matches the relative intensities well. Searching under K l l for c / a = 0.64, one tentatively identifies the unknown as KSSZOs. On heating a few milligrams of the original powder above 300’ C. on a platinum crucible top to convert the dithionate to sulfate and sulfur dioxide, one obtains a strong sulfate test on the acidified residue. The addition of barium chloride reagent to a water solution of the original powder gave
(Continued on page 171 6 ) 1697
ANALYTICAL CHEMISTRY
1698
. .. . . . 8. . . 2 o : m:
0 n$ o :m: n8
o
* 2 N2
8
0
0
0
N
N
0
1.50
2.00
-
P
A8
I 1.10
1.50
A7
N
-
P
d
I
0 m
2.90
2.50 0 N
A9
I
C (graphite) I I
-
I
,q/ !,
!/! I!
I
I
,
,I
l/l
I
lI/l
1
I
VI
I
I V I
I
I
i
/
I
l i ,
I
,/ /
I
i
/ i
I
.
2.80
!
I
/
! !
,/ /
I
.
I
I
/
I
1 N
-1-7
4
P
84
O C A
~
N
8
N
4
8 1.70
1.20
0 N
B5
1 I n
/Ill
11
ill1
/ l i l l l
2
I
I
I /
/ /
I
I
I
I
I I
1 I
11
11
3
Lag d
4
+
I
I
I
11
4.80 5
.6
7
.8
.9
I
constont
Figure 1. Representative Diffraction Patterns of Hexagonal Structures T h e log dhko values of the various structures (Figures 1 to 6 ) are aligned according t o the [ h k o ) reflections a t the top of each figure. (To conserve printing Bpace some of the structures are translated t o the left-e.g., A9, B5, B6. For these cases the, [ h k o ) reflections are labeled.) The change of d h k l with c / a is expressed graphically (4, 1 3 ) a n d covers the c / a spread encountered m t h i n the particular lsomorphous group.
V O L U M E 25, NO. 11, NOVEMBER 1 9 5 3
1699
" 0
......
0 0 0 0-0 NO*
On; 25 1
0
w c c w
2n % qw
: 8o
.... .. . ..
0 m
0..
2:g *c)n
0 o
z:
.
8
c ) N
c)
.
0
0-
"
5
0
-
0 N
W
0
*0
E I8
I
1
I
I
I
I
I
I
I
,
I 1 1
I
I
1 1 ,
I
I
I
1
1
I
I
I
lllll
I I
lIIl1II
11111 I l l 1
1 1 1 1
Ill1
1 1 1 1
ANALYTICAL CHEMISTRY
1?00
0
P
0
1.60
1.50
8
I25
I15
2.90
2 50
2 90
3 00
2 70
0"
0" 7.50
6 50
~ o dp
Figure 3.
+
Constont
Representative Diffraction Patterns of Hexagonal Structures
V O L U M E 25, NO. 11, NOVEMBER 1 9 5 3
1701
C 0
2.70
2.90
0"
E03
I 2.70
2.90 0
F5, 4.00
6.00
+GO, 3.20
3.50 0
K Br
O3 I
..
.
I
,.I
I
I
I
I
1.40
0
0
0.70
0.90 0
1.20
1.00
1.00
1.10
,
I
t
,
I
I
I
/
,
!
,
I
,
I
1
/
1
!
1
1
1
1
1
1
1
1
1
!
1
1
1
1
!
I
/ ! I >
/ / / I , 1 1 1
I l l 1
IIII
ANALYTICAL CHEMISTRY
1702
0
H57 ,650
010
.60
.80
2.50
2 10
e
0
1
J 113
Co(HgO)e C l p
.
,^
I . .I
,
l l
,
I
I
I
I
I
I
I
.45
.55 0
I
I
I
,
I
I
, ,
I
I
I
I
I
,
I
k
I
,
1
,
,
1
1
1
1
1
I l l 1
1 1 1 1
1 1 1 1
I l l
V O L U M E 25, NO. 11, N O V E M B E R 1 9 5 3
1703
.
0
2
N
0
B o T i (Si30g) 1.50
1.30
2 H20
N a 2 t r (Si,Og)
I40
I20
I
0
s34 I10
90
2
I
I
I
I
I
I
I
I
I
I
I
I
I
I 1 I
I
I ,
Log d
Figure 6.
4
.3
, I , I I I / I , I / I / / l 1 / 1 1/ I I / l i l l / 1 l 1 1 1 1 1 1 1 /
+
7
6 I l l /
/ I l l
1 / 1 1
Ill1
constant
Representative Diffraction Patterns of Hexagonal Structures
Ill1
ANALYTICAL CHEMISTRY
1704 Table I. R e resentative Powder Diffraction Pattern for Structure C% Compared with Specific Powder Patterns
Table 11. X-Ray Powder Diffraction Data (Contd.) lhkll
Relative intensities of the powder pattern for structure C6 re resent the arithmetically averaged relative intensities of 11 members of t h a isomorphoua group of 61 substances (see Table IV).
Original Sample d, A. I
I/Il Mg(OH)i MoKa CuKa
(hkll
C6
001 002 100 101 102 003 103 110 111
0.59 0.05 0.14 0.92 0.43
004
112 200 201 104 202 113 005 203 105 114 120 121
-
CuKa
0.25 0.06
...
1.162 1.120
10
1.164
3
...
25
1.112 1.096
3 30
1.113 1.097
0.04
12.5 50
... ... . ,,
...
434 415 106 801
531 600 442 620
...
622
...
1.041
20
1.042
20
0.30 0.30 0.07 0.20 0.13 0.20
0.42 0.30
0.19 0.29 0.06 0.04
0.992
15
0.993
25
... ...
0.15
0.07
...
0.08 0.13
0.35 0.17 0.08 0.04 0.08 0.16 0.01 0.11 0.01
0.33 0.17 0.03
0.10 0.27 0.13 0.04
0.04
0.01 0.05
0.01
... ... ...
... ... ...
...
...
...
... ... ...
...
0.04
...
... ... ...
0.04
.. .. ..
... ...
...
0.10 0.10 0.17
...
...
...
...
0.03
... ...
...
0.08 0.03
0.10
0.07
...
0.06 0.03 0.07
...
(MI Soluble Phase d , A, 1
... ... ...
5.10 4.91 3.87 3.81 3.51 3.30 2.95 2.84 2.82 2.65 2.57 2.52 2.33 2.27 2.24 2.19 2.10
2 75 75 15 25 350 25 20 40 50 4 4 150 12.5 12.5 7 12.5
2.03 1.984 1.924
12.5 17.5 10
1 985
1.903 1.854
30 12.5
1.904
.
.
I
3.82
...
3.30
... ... ...
... ... ... 2.33 ... ...
.. .. ..
:. . . ...
1.773 1.753
4 4
...
1.650 1.630 1.593
20 8 6
1.648
1.562 1.514 1.493
6 9 6
...
... ...
i:Si3
... ... ... ...
75
>350'
... ... ... ... ...
>350'
... ... ... ...
... 62.5 ... 150
...
...
... 100
...
... ...
...
1.473
250
...
1.472 1.424
62.5 10
1.409
10
...
...
1.384
4
...
...
1.372
4
...
...
1.355
3
...
...
1.344 1.318
40 2
1.343
...
125
1.305 1.268
4 10
1:iia
20
1.242
3
...
...
1.218
5
...
...
...
... ...
... ...
0.33
...
111
...
200
102 211 300 112 301 202
...
221 212 311 302 m3 103
...
222 113
...
321 410 411 213 402
...
... .. ... ~ ... ...
... 220 ...
0.17
... 222 ... ... ...
400
...
420
323 422 600 214 413 601 512 304 520 43 1
...
....
0.11 0.08
0.08
...
0.08
...
0.13
...
...
511 333
105
0.06 0.05
...
422
522 115 324
...
0.17
0.13
...
503 224 314
...
0.13
...
... ...
C6 B8 A3 H57 C14 UCli J61 B4 DO6
Prevalence of P lattices Prevalence of R lattices
72% 28%
ku.
3.8; 1
ik. 7hko -
-
=
-
average number of obaerved prism reflections per powder pattern probability of observing [ hko) average relative intensityof(hko]
61 56 47 46 31 23
58
( h w &IO ;pa, h o pa0 Lo) = (0.57 0:91,0.42,'0.40', 0.44.0.53) ilw
im
iwo
I 1
I1
( T I: * T ) =
I1
t.[hkl]
21 20 20
Octahedral spherical, tetrahedral, trigonal primhatic, oentro-triangular, 3ncyclic
(0.25,0.41, 0.16)
-
Fl (102 101 110 = (0.230.15 0.06) Fr [ 110' 102' 1011 (0.17'0.09'0.08) [ 110: 101: 1021 = (0.25: 0.08:0.04)
= probabilitythat [ hkl) is nth
;,
strongest powder reflection of hexagonal structure
Mast probable axial ratio, c / a
1.6; 0.13 5 c / a
i; 71.1
Table IV. Hexagonal Substances Tabulated by Types
...
...
311
-
Dominant atruotures number of examples Configurations favoring hexagonal symmetry
NI
...
0.33 0.27 0.53 0.67 0.05 0.05 0.17 0.17 0.09 0.17
...
402 501 114
...
... ... ...
... ... ... 331
330 223 412 3 13
(Z/Idhsx.
...
...
...
Table 111. Statistical Data on Tabulated Hexagonal Substances
il
0.01 0.03 1.00 1.00
...
201
30
...
001 101 110 111
...
...
.. .. .. .. .. .. ... 0.10
Hexagonal Soluble phase phase
...
... ...
-
-
225 424
0.09
Table 11. X-Ray Powder Diffraction Data
for the various reflections.
0.04
...
1.00 0.42
... 0.13
...
(I/Ii)hex.
...
701 53 1
...
1.00 1.00 0.27
...
Soluble phase
440
0.50
...
phase
...
1.00
1.00 0.40
Original Sample d, A. I 1 6.30
...
0.63 1.00 0.40
...
Filtered C u K a radiation waa used t o obtain the powder diffraction data. interplanar spacing. I = intensity in arbitrary units. hkl] are indices T h e lattice constant for the cubio phase ( referentially soluble phase) is u 6.592 f 0.005 A,; for the hexagonal p!ase, u = 9.80 A. and c 6.29 A. d
3
0.50
... ...
... 0.10
0.05 0.02 0.06
MoKa
TiClr (f), CuKa
1.186
0.53
0.03 1.00 0.27
... ...
Cd(oH)*
"::if-
Soluble Phase d , A. I
0.05 0.05 0.04
...
...
0.03
...
0.05
...
0.04
...
0.07
....
literature values have been averaged.) For specific references see literature citationa (a, 3,6 , 0-18,14, 16-10). All kX values have been converted t o A. c/a
a, A.
c, A.
Substance
A3 1.551.56 1.58 1.58 1.58 1.58 1.68 1.58 1.59 1.59 1.59 1.59 1.59 1.69 1.59 1.59 1.60 1.00 1.60 1.61 1.61 1.61 1.62 1.621.63 1.62 1.621.63 1.62 1.62 1.62 1.63 1.63 1.63
2,762.77 2.29 3.52 3.54 3.56 3.59 3.60 2.70 2.72 3.21 3.23 3.31 3.53 3.63 3.65 2.74 2.95 3.45 2.76 2.80 3.67 2.51 3.193.10 3.20 3.203.21 3.66 3.66 3.75 2.65 2.73 3.073.10
4.30 3.61 5.57 5.60 5.63 5.66 5.67 4.28 4.32 5.09 5.15 5.25 5.57 5.76 5.81 4.39 4.70 5.52 4.46 4.49 5.89 4.07 5.165.04 5.18 5.195.21 5.91 5.94 6.07 4.33 4.43 4.995.04
Cul-.Zna+. a-Be
Lu
Er Ho DY Tb
Ru
os
Hf a-Zr sc Tm
Gd +C
Ti TI Re Fel-.Zni+r Nd 6-co Mg-Cd (80-42a t . % Mg)
Pr 8-Ce =-La (Ni) 8-Cr MgCdr-r
V O L U M E 25, N O . 11, N O V E M B E R 1 9 5 3 Table IV. c/a
a, A.
1.63 1.63 1.63 1.63 1.63 1.64 1.64 1.86 1.86 1.86
3.13 3.213.17 3.21 3.21 3.58 3.76 4.32 3.97 4.04 2.67 2.67 2.67
1.87-
2.67-
1,89
2.98
1.63 1.63
Hexagonal Siibntances Tabulated by Types (Continued)
c , A.
A3
Substance
4.55 4.30 3.77 3.77
5.09 5.215.15 5.20 5.21 5.84 6.13 7.06 6.50 6.62 4.95 4.96 4.974.98 4.974.99 5.62
11.86 11.28 10.56 10.89
4.35 4.46
4.96 5.92
2.74
2.46
6.76
1.94
3.48
6.74
Cd(Mg Al)t Mg-A1 i2-11 a t . % A1) Mg-Mn (1.5 a t . % Mn) E t ( l . 4 5 " K., 37 atm.) Hn (4' 9.) @-Sr (521O K.) 8-Ca Na (-40' K.)
L
Zn-Cd (1 a t . % Cd) Zn-A1 (0-5.0 at. 5% Al)
Hg-Zn (1.51-5.87 a t . % Hg) Cd
Ri Sb
As
As-Sn (70.9 a t . % .4s) Se Te A9 C (graphite) A10 Hg (177' K.) B4
1.60 1.60 1.60 1.60 1.60 1.60 1.61 1.62 1.62 1.62 1.62 1.63 1.63 1.63 1.63 1.63 1.64 1.64 1.64 1.65
2.90 3.12 3.26 3.26 3.28 4.40 3.54 3.06 3.98 4.15 4.53 2.70 3.19 4.13 4.20 4.31 3.82 4.06 4.59 4.31
CuH A1N ZnO (Zn Cd)O ( 6 mole R (Zn: Mn)O (22 mole NHdF InN TaN MnS CdS MgTe BeOGah MnSe Se)
gi$;
ZnS CuBr (664-743" K.)
3.08 3.81
c, A.
1.32 1.32 1.32 1.33 1.33 1.34 1.36 1.36 1.37 1.37 1.38 1.39
C U I (675-713' K.)
10.08 12.45
SiC-(qH) ZnS-(4H)
1.40 1.40 1.40 1.42 1.46 1.46 1.49 1.53 1.53 1.551.56 1.56 1.57 1.58 1.60 1.61 .1.621.63 1.62 1.63 1.63 1.661.68 1.66 1.67 1.67 1.68 1.73 1.75
5.36 5.44 5.46 5.48 5.48 5.19 5.10 5.37 5.59 5.67 5.37 5.025.05 5.05 5.57 5.79 6.13 5.29 5.34 5.66 5.19 5.71 5.325.34 6.21 5.30 5.56 5.47 6.12 5.826.03 6.71 5.56 5.92 5.695,80 5.71 5.99 6.39 5.81 5.81 6.22
2.29
4.16
8.52
3.08 3.82
15.12 18.71
12.23 12.28
3.83 3.08
46.84 37.82
PiC-(GH) ZnS-(GH)
1.23 1.23 1.241.25 1.25 1.26 1.26 1.261.27 1.28 1.281.30 1.28 1.28 1.28 1.28 1.29 1.31 1.31
5.10 5.135.16 5.21 5.25 5.475.49 5.03 5.125.21 5.145.18 5.215.12 5.01 5.054.99 5.46 5.56 5.55 5.695.74 5.635.66 5.14 5.15
CrTe (Fe, Co)S Fel-& (Ni, Fe)S VTe Crl-=Se MnTe Cri-z9 FeSe Feo.sr-o.osf3 CrS
vse
TiTe Fe S VS TiSe
HgS BIZ
BZ
2.66
2.52
6.69
0.32 0.3280.329
9.86 9.599.63
3.19 3.153.17
4.32 4.38
3.79 3.94
16 7.3 28 5
1.94 1.99 1.99 2.01 2.05 2.05
5.39 5.15 5.17 4.96 4.47 4.66
10.45 10.24 10.30 9.95 9.16 9.54
1.61
10.68
17.19
B13
?-Xi% NiS
B18
CuSe CuS
RbSeH KSeH RbSH KSH ZTaSH NaSeH B30
ZnS-(ldR) SiC-(ZBR)
MgZn B35
BS 4.20 4.184.19 4.23 4.28 4.404.38 4.04 4.054.15 4.034.11 4.154.05 3.93 3.963.85 4.25 4.34 4.35 4.464.49 4.384.40 3.92 3.94
Nih IrSn iMnSb MnBi CoSe NiSe FeTe COS MnAs &NiS
B9
B7
1.21 1.23
NiBi PtSn PtTe CrSb PtSb CoSb NiAs.NiSb NiTe PdSb PdTe CoTe Ni(As, Sb)
B22
B6 4.90 4.90
Subatance
4.08 4.11 4.14 4.12 4.14 3.88 3.76 3.96 4.08 4.14 3.90 3.613.63 3.62 3.99 4.13 4.31 3.62 3.67 3.81 3.39 3.72 3.423.43 3.98 3.37 3.51 3.42 3.80 3.603.69 4.13 3.43 3.63 3.443.46 3.45 3.59 3.83 3.45 3.36 3.56
A d B5
3.27 3.27
a, A
B8 (Confd.)
AS 1.14 1.33
c/a
(Contd.)
A7 2.61 2.62 2.80 2.89
1?OS
CuSn Nilnl-, 7-FeSn (-44 CuInl-. MnSni-, FeGel-, CoSni-, FeSbl-, NiSnl-, CoGei-, NiGei-, PtPb
RhSn
AuSn PdPbi-t PdSni-, Ni(Sb, As) NiSb
at. % Sn)
0.807 0.828 0.839 0.956
5.28 5.61 5.30 4.55
4.26 4.65 4.45 4.35
1.27 1.30 1.34 1.36 1.37 1.37 1.38 1.38
4.04 4.02 3.48 3.73 3.41 3.86 3.25 3.503.52 3.59 3.893.79 3.69 3.33 3.55 3.79 3.19 3.19 3.20 3.14
5.13 5.21 4.67 5.07 4.67 5.29 4.48 4.834.85 4.93 5.385.41 5.01 4.69 5.03 5.41 4.65 4.66 4.66 4.62
CoSn PtTl &FeSn c-InNi C6
1.38 1.381.43 1.40 1.41 1.42 1.43 1.46 1.46 1.46 1.47
Ca(0H)i CoTea-= Cd(0H)i.Eb.t Mn(0H)t PtSz CoTea (Co Zn)(OH)a Zn(bH)s Co(0H)i (Ni, Zn)( O H h
ANALYTICAL CHEMISTRY
1706 Table IV. c/a
a,
A.
1.471.49 1.48 1.48 1.48 1.51 1.51 1.52 1.52 1.54 1.55 1.55 1.55 1.59 1.60 1.61 1.61 1.62 1.63 1.64 1.64 1.64 1.64 1.65 1.65 1.66 1.66 1.66 1.67 1.67 1.67 1.68 1.69 1.70 1.71 1.71 1.73 1.73 1.81 1.83 1.83 1.84 1.91 2.19
3.173.12 3.11 3.16 3.16 3.10 4.55 3.05 3.13 4.25 3.59 4.49 4.49 3.69 3.10 3.65 4.26 3.83 3.80 3.77 3.83 4.14 4.17 3.56 3.75 3.70 4.11 4.15 3.41 4.00 4.05 3.97 3.54 3.16 3.23 3.28 3.41 3.77 3.65 3.24 3.36 3.18 3.01 3.18
3.90 3.903.92 3.94
3.16 3.16 3.29
c,
Hexagonal Substances Tabulated by Types (Continued)
A.
Substance
C6 (Contd.) 4.66(Co, S i ) (OH)? 4.64 4.61 4.67 4.67 4.68 6.89 4.67 4.74 6.54 5.55 6.97 6.97 5.86 4.94 5.88 6.86 6.20 6.19 6.18 6.27 6.80 6.83 5.88 6.18 6.13 6.82 6.89 5.70 6.67 6.76 6.66 5.99 5.37 5.51 5.60 5.91 6.51 6.61 5.92 6.13 5.83 5.72 6.97 c7 12 32 12 2912 34 12 97
3IoSr WS' 9-2.0 WSr2
c/a
a,
A.
c, A.
1.65 1.66
5.205.22 5.14
8.608.62 8.51
(4.73) 4.91 5.04 4.90 5.04 4.99
(5,lg) 5.40
[i(5.62)
1.63 1.63 1.63
4.51 4.54 5.04
7.35 7.36 8.24
CSZO CdClz Cd(OH):.zsClo.rs ZnCh 3lnClt CdBrz ZnBrr
4.41 4.54 4.59 4.71 4.75 4.76 4.78 4.90 4.90 4.90 4.90 4.90 4.93 5.04
51c1z
COCIZ FeClz Cd(0H)i.nBro.a MgCIz NiBrr NiIt c22
0.511 0.526 0.532 0.567 0.575 0.583 0.589
6.77 6.75 6.49 6.09 5.86 5.85 5.87
3.22 3,224.71
4.25 4.253.99
PdzGe PtzGe PdzSi MnpP NieP (Xi, Cu)zP FezP C27 13.70 CdIe 13.70Cd(Br, I)n 18.78 C32
0.647 1 .oo
1.oo 1 .oo 1.02 1.02 1.02 1.05 1.05 1.07 1.07 1 .08 1.11 6.95 6.96
4.32 4.37
30.07 30.42
3 26 3.29 3.30
4.73 4.73 4.74 4.96 4.82 4.82-
15.40 15.42 15.46
H t 0 (273" K.) Dr0 (272' K.) Si02 (8-trydymite)
BizTeB BizTes
3 30
5.10
C36
u-GeOz
c10
4 R7
16.1.5
15.86
15.9416
in
16.80
c12 7.85
3.89
1.44
4.43
1.63 1.63 1 63 1.63 1.64 1.64 1.641.65 1.64 1.64 1.64 1.64 1.641.65 1.64 1.64 1.64 1.64 1.64
6.64 4.22 6.23 4.24 4.26 4.36 4.40 4.78 4.81 4.83 4.87 4.96
10.66 6.84 10.12 6.92 6.96 7.10 7.14 7.81 7.86 7.88 7.95 8.08
5.14 5.26 5.48 6.43 4.44 4.45 4.874.82 4.87 5.01 5.04 5.10 5.145.22 5.17 5.19 5.28 6.26 7.50
8.39 8.60 8.95 10.47 7.29 7.28 7.817 97 7.97 7.89 8.24 8.36 8,448.62 8.51 8.53 8.66 10.25 12.29
MgCuAl
6.36
CrSiz C41
C14 1.61 1.62 1.62 1.63 1.63 1.63 1.63 1 .63 1.63 1.63 1.63 (1 .63)
CoTit TaCor CbCor ZrFez Righ-iz hlg(Ni, Zn),
C40
CaSiz
30.53
ZrRuz
c33 BeFz 0-Si02 FePOd .41P01 AIAsO,
5.65
Mg(Zn. S i ) ,
C19
C8 1.10 1.10 1.11 1.12 1.12 1.13
Substance
C14 (Contd.)
I .63
4.73
7.73
FezW
D 04 2.90
5.99
17.38
CrCli
D 06
x2
d06 CbRInz higCu, &.a
ZrMnt higC11Al-MgCuz 3Ig(Zn, Cu)z JlgZnz ZrOsz ZrVr CaLiz KSaz
1.02 1.02 1.02 1.02 1.02 1.02 1.03 1.75
6.99 7.07 7.12 7.13 7.14 7.17 7.03 4.20
7.16 7.23 7.28 7.29 7.29 7.34 7.21 7.41
SmF3 PrFa CPFS ( C e , La)Fs (La. Ce, Pr)F3 LaFa NdFa Pb.aTb.iFa
1.70 d3 1.76 1.76
4 . & d3 4.19 4.28
7.48 7.35 7.54
Rao.rUo.sFa Pbo.aUo.sFt 4cF1
'
V O L U M E 25, NO. 1 1 , NOVEMBER 1 9 5 3 Table IV. c /a
1.76 1.7i 1 1
1 1
I 76 1 78 I 78 I 78 1.EO
4,
A.
4.29 4.09 4.12 4.14 4.04 4.08 4.11 4.14 4.05
Hexagonal Substances Tabulated by Types (Continued)
e. A.
Substam:e
DOa (Confd.) 7.54 Baa.aTho.aF~ 7.25 PuFs 7.29 NpFa 7.34 UFI 7.19 Cao.6Tho.sFr 7.24 AmFt 7.30 Sro.sUo.aFa 7.34 Sro.sTho.sF~ 7.30 ThOFz DOia
2.56 2.59 2.62 2.79 2 81
5.23 5.17 5.07 4.89 5.06
13.38 13.40 13.30 13.65 14.22
2.54
4.92
12.48
1707
FeFr VF~ CoF: RhFa PdF:
ci/4
2.74 2 ,is
a, 4 .
2.7.5 '2.82
5.03 4.784.93 4.95 4.94
1.55 1.56 1.56 1.56 1.56 1.58 1.59 1,59
4.08 3.85 3.86 3.89 3.94 4.58 3.88 4.68
4.00 4.02 4.03 4.06 4.08
5.93 5.59 5.93 5.59 5.59
1.13 1.18 1.21 1.21 1.21 1.23
4.53 4.40 4.04 4.06 4.53 4.23
7.51
3.33
0,
A.
DO14
-.. 9 ')71
(5.92)
(17.56)
AlClr DOia
1.7i 1 .77 1.7i 1 .77 1.77 1.77 1 .77 1.7i 1.78 1.78 1.78 1.78 1 .8?
4.27 4.71 4.99 5.10 5.37 5.46 5.79 6.19 4.40 4.87 6.04 6.04 4.64
0.796 0,799 0 8000,801 0 802
5.33 5.46 5.665.67 5.295.31 5.13 5.96 6.28 6.23 5.35
23.73 22.513 22.88 22.67 22.72
D71 24.98
.n?
6.99
5.41
NisIn FrrSrl
4.25 4.36
5.41 5.43-
j.61
4.74 4.75 4.764.75
25.63 25.68 25,8326.68
5.11
0.696
0.698 0.718
6.91 6 .75 8.26
0.623
8.32
7.94 7.93 7.95 7.94 6.27 6.25 6.27 6.27 (6.24) 7.97 7.40 7.40 7.42 7.38 7.42 7.45 8.08 6.48 7.44 6.43 7.48 6 . ,53 7.64
4.39 4.39 4.44 4.44 3.53 3.53 3.54 3.54 (3 .53) 4.51 4.24 4.25 4.26 4.25 4.28 4.31 4.69 3.77 4.32 3.75 4.38 3.86 4.56
1.66
9.94
16.51
12.72
7.93
SiaTi PrBra NpBrs CeBr: UBrr Dy(0H): Er(OH)r Gd(OH)r Sni(0H)r
P(OH)r
LaBrr NdCla PuCl: PrClr AmCla NpCls CeCls AcBrr Pr(0H)s UCls Kd(0H)s LaCls La(0H)a AcClr
0.9O.
7.68
7.61
0.779 0.781 0.796 0.796 0 . ROO 0.803 0.804 0,808 0.811 0.811 0.816 0.818 0.822 0.846
43 3.40 4.96 5.17 5.10
4.95 5.14 4.96 1.91 4.92 4.95 4.96 4.87 5.24
EOI 2.81
3.67
10.29
2.73 2.74
Cd(0H)Cl
E22
MgZnr
2.70 2.74 2.76 2.76 2.77 2 .E0 2.82 2.84 3.00 3.40
3.12 5 .0.5 5.05 5.09 5.05 5.14 4.96 5.26 5.33 5.30
BzHs
0.943
5.48
(See D51)
EZ: LiIOa
5.17
E92
D5i 5.14 4.96 5.11 4,794.99 4.76 4.985.01
CozAla
.!.
D41
8.71
CrrAla
Ztl6Ca
DZ%
2.61 2.71 2.71 2.73
BIgbHg:
D811
CUSP
7.13
0 . ,553 0.554 0.55s 0.559 n.563 0.565 0.56.5 0,565 0,566 0.566 0.573 0 . ,574 0,574 0.576 0 . ,577 0 579 0.580 0 . ,581 0,381 0.583 0,585 0.590 0.597
4.55
MnsSi: FesSir
4.81 4.72 5.93 D81a
UCla
1.91
CwWs FeiMoaFertzT" 8 - I
D88
4
DO24 1.63
AlrCa
d85
D021 I
Kt0.11FezOs NazO.llAlzOa Rb20.11FezOr ( K Na)~0.11.4lzOr Kh.11.41~01 D51:
DO19
0 805 0,805 0.809 0,810 0.817
d55
AlFt DOi:
Substance
D5i (Confd.) 13.77 Fez06 1 3 .OS(AI, Cr),Or 13.55 13.61 CrzOr 13.95 VPO: (See E&)
1.63
5.43
8.85
4BeO.NaSbO:
E94 6.59
3.29
21.64
ALC:K
BOY 0.945
6.21
5.87
OCS (Ig(HzO)aSo3 J2z J22
c32 c32 c32
BesAIz(Si0a)t. CaGaz hery
S31
Cd.48206 PbSbiOs PhSbOa PhShrOs XH&bFe TlSbF8 CsShFa TlSbFs L I ~ ( H ~ O ) SiSOa.6HzO ~SO? F e ( H r o ) sSiF 6 ,J6i &In(Hz0)sSiFs .J61 I\Ig(HzO)sTiFs .J6: Co(NHs)aHzOCo(CN)a .J61 Co(SHs)sHzOFe(CS)s J61 VBz c32 e32 c32 SnlFa PrFa
ANALYTICAL CHEMISTRY
1712
Hexargonal Substances Tabulated According to Axial Ratios (Conti'hued)
Table! V. c/a 1.021.03 1.02 1.02 1.02
A. 7.107.21 7.12 7.13 7.14 a,
1.02 1.02 1.02 1.02 1.03 1.03 1.03
7.17 7.64 10.62 13.68 4.84 7.03 8.84
1.03
8.84
1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.04 1.04 1.04 1.04 1.04 1.05 1.05 1.05 1.05 1.05 1.05 1.06 1.06 1.06 1.07 1.07 1.07 1.os 1.08 1.08 1.08 1.09 1.09 1.09 1.10 1.10 1,lO 1,lO 1.10 1.11 1.11 1.11 1.11 1.12 1.12 1.13 1.13 1.13 1.13 1.13 1.14 1.16 1.16 1.16 1.16 1.17 1.17 1.17 1.171.19 1.18 1.18 1.18 1.20 1.20 1.20 1.20 1.20 1.21 1.21 1.21 1.21 1.21 1.21 1.21 1.21 1.22 1.22 1.23 1.23 1.23 1.23 1.23 1.23
e, A. 7.247.50 7.28 7.29 7.29
DO8 DO6 DO6 DOs TlSbFs J61
9.06
9.52 9.84 9.90 9.65 10.04 10.13 10.91 10.97 11.01 6.56 7.44 7.95 9.72 11 06 3.24 4.07 4.17 5.08 6.93 10.21 3.89 11.03 23.7 3.23 3.31 7.87 3.25 5.75 (6.19) 6.60 (3.92) 5.49 14.98 4.41 5.19 5.40 6.79 7.79 3.53 5.41 5.60 7.63 (5.47) (5.62) 5.51 5.49 5.65 6.14 9.7 4.96 4.12 7.2 8.43 8.46 9.8 9.8 8.41 11.33 9.74 13.7711.8114.42 12.08 5.25 4.40 11.09 9.44 13.58 11.49 7.37 6.15 8.55 7.14 8.92 7.39 10.1 8.41 12.91 10.80 4.90 4.04 4.90 4.06 5.10 4.20 5.50 4.53 6.57 6.9 6.95 8.93 6.66 .. .. 13.66 11,15 5.134.185.16 4 . I9 5.18 4.23 5.21 4.23 5.25 4.28 7.03 5.74 7.79 6.31 9.27 9.52 9.57 9.33 9.79 9.79 10.62 10.70 10.71 6.32 7.12 7.67 9,33 10.66 3.09 3.86 3.97 4.83 6.63 9.73 3.66 10.44 22.4 3.03 3.09 7.33 3.01 5.30 (5.73) 6.14 (3.60) LO2 13.78 4.01 4.73 4.91 6.19 7.10 3.17 4.85 5.04 6.88 4.90 5.04
1.238.631.25 8.75 1.244.401.25 4.38 Original data.
Type Par1
10.6710.80 5.475.49
Substance C U I + ~ A S I -(25.0-17.0 ~ at. % As) CeFs (Ce, La)Ft (La, Ce. PI, . . . ) F I ,tyaonite, fluocerite LaFs RbSbFs Ni (Hn0)bSnCla Cuz(OH)aCl, paratacamite
E%:o6
PbSb;t)a D 06 Mg(HlO)a-
CoSOi.6HrO
M g H2O)a-
MgSOa.GHr0
sol
S6,
J6i J61 J61 J61
J61 J61 J61
J6 I J6 I
...
TlSbF; J61 J61
C32 C32 P3ml PbSbzOs P62m
...
C32 PbSbzOs
...
...
(csj C8
' '
(BaSiFe) C32 PbSbzOe C8 011
C8 C8
A8
... ..
CbzOr" ,Mion. @-quartz (*-870' K.) CaAI~Si401r.6HrO, chabazite Yttroparisite BeFn a-SiOz, a-quartz WtP @-KPFs(243' K.) ZrBz SrAszOs FePO4 CHI, AlPOi AlAsO4 InrPtz PbAszOa GeOr SazSOz AlsMniaO~.8HnO
OH&" OGli
...
D51r R3c
...
...
OH67 OGli
...
...
K7a P6/mmc B8
...
... B8
5.03 7.81 5.125.21 5.215.12 5.15 (5.15) 14.9 15.71 lL87 8.18 5.13 (6.25) (6.65) 9.61 5.054.99 5.01 5.46 5.56 5.55 5.695.74 5.12 5.665.63 7.28 7.63
4.02 5.65 5.67 6.20 7.61 10.29 3.92 3.94 5.39 6.16 6.20 (8.62) (8.639.04) (8.64) (9.07) 4.08 4.11 4.14 5.22 5.76 7.29 8.588.54 4.12 4.14 4.46 (5.4) 5.73 8.24
5.21 7.36 7.34 8.09 9.87 13.35 5.14 5.15 7.06 8.09 8.12 11.24 11.2711.81 11.31 11.85 5.36 5.44 5.46 6.91 7.61 9.66 11.3411.43 5.48 5.48 5.92 (7.27 5) 7.6 (11.0)
10.45
13.89
1.34 1.34 (1.34) 1.34 1.34 1.34 1.35 1.35 1.35
5.39 5.63 11.51
4.67 5.19 (6,551 7.37 8.15 8.13 7.27 7.59 15.55
1.35
11.88
15.50
1.261.27 1.26 (1.26) 1.26 1.26 1.26 1.265 1.27 (1.27) (1.27) 1.27 1.281 30 1.28 1.28 1.28 1.28 1.28
1.30 1.30 1.30 1.30 1.30 1.30 1.31 1.31 1.31 1.31 1.31 (1.31) (1.31) (1.31) (1.31) 1.32 1.32 1.32 1.32 1.32 1.32 1.321.34 1.33 1.33 1.33 (1.331.39) 1.33 1.33 1.33
... R3c
4.04 6.23 4.054.15 4.154 05 4.09 4.09 11.86 12.48 12.59 6.47 4.04 4.93 5,23 7.55 3.963.85 3.93 4.25 4.34 4.35 4.464.49 3.96 4.404.38 5.64 5.91
1.25 1.25 1.26
1.29 1.29
J61
934
e, A. 5.57 (5.76) 7.1 7.61 14.78
1.29 1.29
P6/mmm J6 I P3cl C32 C32
P6s
a, A, 4.51 (4.65) 5.73 6.15 11.93
c/o
1.24 1.24 1.24 1.24 1.24
d'-InSi CdCln.2NiClz. 12HrO CHsCONHz 6-SazThFs ("aC~&)zPtCls SbBrz (C Ha) I XazMn1~0e.8HzO CuPt SizAla GaaKir CuSn InaPdt (SOz')(NOs-) (213' K.) 2Ca(OH)? Al(0H)zCl BaT10s CszAszCls(NOz +) OS-) (293' K.) XisPb& shandite NiInl-, GasPtz Y-FeSn (-44 at. % Sn) CuInl-, Kiss2 ~Z~(OH)~.Z~C~Z-~(OH).; z = 0.70 to 0.75 SnSb (45-55 a t . % Sb) MnSni-, Sn)
(28.6-36.1 a t . %
Type
... ... ... ... Rac B8 RS B8
-
B8 B8
Substance Ice(I1) (118O K.) COzOs 2Ca (OH)2.41 (OH) zBr CaCOa.Hz0 K4hhCl6, chloromanganokalite FeGei-, TlIOa. CoSnl-, (39.4-42.2 at. % NiSnlSn) = (39-42 a t . % Sn)
OGli B8
FeSb SnsAsz KiCdCle (NHS4CdCla ZnCIz,4Zn(OH)z CsBrOs PdTez AlFa FeFa SbIz(CHa): NiGel-+.
B8 B8 B8 B8 B8
CoGel-z PtPb RhSnl-, AuSn PdPbi-z
...
R% (Ram) Go7 C6
...
... ...
BS
...
P3ml P6/mmc C6 P3ml Pzml GO; P31c R3c B8 B8 P3ml GO; GO; A7 A7 A7 A7 B8 B8 BS Pam1
...
A7
, . .
B8 B8
A8
... ...
P6122
P6/mcc
P3ml
Pzcl PScl
...
4.19 5.07 5 10 5.37 7.14 7.62 7.8 8.16 10.07
GO; s36
C6 B8 B8 PSml P3ml
1.36
11.52
15.67
P%l
1.37
11.88
16 32
Pacl
1.38 3.25 I, Original data.
4 48
C6
...
IrrSiz PdSnl-, (36-42 at.
o/o
Sn)
C18H24, do&cahydrotriphenKNaSO4 a hthitalite ylene PtTel BaNaPO4 Na Ks (S04)2, glaserite NHaBrOP S a L i S04 P4Oin X ( S b , B s ) (10 mple % AsNi) NiSb. breithawtlte
Sb Sb-Bi (16-94 at. % Bi) PbsSb; Bi NiBi PtSn PtTe CazSiO4.Caa(PO1)t 02 (48' K.) Ba(C10&.3HzO Sn-Sb (2-20 a t . % Sn) CrSb PtSb Te Alz [SizOal(OH)c(l/s-l/s) (metahalloysite) 2Ca(OH)z.Al(OH)zI [CHa(CHz)n-zCHrlr.(NHdzCO KCaz(Be, A1)z[SizOs]s. milarite Cd(0H)n CoSb MoC
NazSOc KzO.ZPb0.2SiOz Cr(NHz.CHz.CHz. N H ~ ) I Cla.3HzO Co(NHz.CHz.CHz.NHz)rCla.3Hr0 Pt02 PtSer Ki4s.NiSb KiTe CaNaPOI CaKPO4 2Ca(OH)z.A1(OH)LX2HzO KBrOa NazZrSiaOs.2Hz0, catapleite Rh(NHz.CHz.CHz.NHz)rCla.3HzO Cd(0H)z-Mn(0H)z NiTer PdSb PdTe AgFeOz (Ce, La, . . .)FCOs, bastnasite Cr (NHz.CHz.CHz. "2)sBra.3HzO Fe(0H)z
V O L U M E 2 5 , NO. 11, N O V E M B E R 1 9 5 3 Hexagonal Substances Tabulated According to Axial Ratios (Continued)
Table V. c/a 1.38 1.38 1.381.43 1.38 1.38 1.38
a, A.
c , A.
3.503.52 3.59 3.893.79 3.90 5.72 11.63
4.834.85 4.94 5 385.41 5.37 7.88 16.04
1.39 1.39
3.61 3.63
5.02 5.0:
(1.39) (1.39) 1.40 1.40 1.40 1.40 1.41 1.41 1.41 1.42 1.42 1.42 1.43 1.43 (1.43) 1.43 1.44 1.44 1.44
4.14 4.35 3.59 3.62 3.99 4.13 3.32 5.75 11.20 3.55 3.77 4.31 3.54 3.79 4.25 12.84 4.43 6.73 10.57
(5 71) (6.05) 5.01
1.46 1.46 1.46 1.46 1.46 1.46 1.471.49 1.47 1.47 1.47 1.47 1.48 1.48 1.48
5.05 5.57
5.79 4.69 8.1 15.79 5.03 5.33 6.13 5.04 5.41 (6.07) 18 32 6.36 9.72 15.19
4 65 3.19 3.19 4 66 3.20 4.66 3.62 5.29 3.67 5.34 10.39 7.43 4 663.174.64 3.12 4.62 3.14 3.33 4.89 3.39 4 99 6.61 9.73 3.11 4.61 4.67 3.16 3.16 4.67
Type C6 C6 C6 B8 P3ml P3cl B8 B8
C6 B8 B8 B8 C6
B8 C6
C6 532 C6 C6 C6
3.10 4.55 12.41 14.13 3.05
4.68 6.89 18.72 21.34 4.67
C6 C6
1.52 1.52 1.52 1.53 1.53 1.53 1.53
3.13 7.1 14.93 3.39 3.72 4.23 5.75
4.74 10.8
C6
5.19 5.71 6.47 8.8
B8 B8
1.55 1.56 1.561.58 1.56 1.56 1.56 1.56 1.56 1.56 1.57 1.57 1.57 1.57 1.57 1.57 1.58 1.58 1.62
6.76 2.82 2.83 (3.08) 3.85 3.86 3.89 3.94 3.98 2.29 2.76 2.79 3.37 5.75 11.40 2.29 2,722.63
C6 Jl:
6.07 6.13 6.21 3.59 4.33 4.40 5 30 9.5 17.91 3.61 4.294.25
...
...
1.60 1.60 1.601.61 1.60 1.60 1.60 1.60 1.60 1.60 1.60 1.6& 1.63 1.60
.
...
C6
6.54 10.47 19,28 4.30
6.01
...
I
A3
...
...
... ...
1.60-
1.64 1.60 1.60 1.60 1.60 1.61
...
...
1.611.62 1.611.63 (1.61)
B8 C6 D5z C6 C6 Jla
D5z D5, D5z D5z B8
B8 A3
1.58 1.58 1.58 1.58 1.58 1.58 1.58 1.58 1.581.61 1.59 1.59 1.59 1,591.63 1.59 1.59 1.59 1.59 1.59 1.59 1.59 1.59 1.59 1.59 1.60 1.601.61 1.60 1.601.62 1.60 1.60 1.601.61 1,60 1.601.63 1.60
R3m
Jla
10.49 4.394.38 4.474.39 (4,82) 6.02
..
.
10.28 4.77
5.325.34 j.55 6.30 6.97 6 97 8 9
...
C6
1.51 1.51 1.51 1.51 1.52
4.25 6.78 12.48 2.762.77 3,423.43 3.59 4.08 4.49 4.49 5.75
a, A
2.782.73 2.75 2.862.87 2.902.88 3.00 3.01 3.053.10 3.52 3.54 3.56 3.59 3.60 4.31 4.58 5.51 5,645.54 2.70 2.72 2.73 2.892.87 3.09 3.21 3.23 3.31 3.53 3.63 3.65 3.69 3.88 4.68 2.542.55 2.612.67 2.64 2.782.70 2.73 2.74 2.752.76 2.76 2.842.78 2.84
...
C6 C6 C6 B8 B8
B8 R3
1.54 1.54 1.54 1.551.56 1.551.56 1.55 1.55 1, 5 5 1.55 1.55
..
c/a
1.581.59 1.58 1.581.59 1.581.62 1.58 1.58 1.58
...
5.66 18.21 5.10 8.6
6.74 3.10
...
Substance Ca(0H)z-Cd(0H)r [25-75 mole % Ca(OHIz1 Ca(0H)z CoTez-z (50.0-66.7 at. % Te) CoTe KZSOI Co(~Hr.CHz.CHz.NHz)aBra.3Hz0, (AsNi-SbNi), niccolite AsIii-SbSi (90 mole % AsIii) Bi Sea BirTea CdCIz.4Cd(OH)z NiAs IrSn MnSb BIn(OH)z, pyrochroite ZCa(OH)z.AI OH)*Br.2H,O CHdCH(OH)LH2 PtSz
K7z C40 (S3d
3.81 12.22 3.41 5.74
1.53 1.54
... ..
R8m C6
1.49 1.49 1.50 1.50
22 6
1713
... ...
RbzPt(SCS)s AuZn; (86.3-88.8 at. % Zn)
...
4gZna (86-70 at. % Zn)
...
L i l f g (78' K.) SdzOa PrzOa Ce208 LazOa CrTe a-Au-Be CuaSn (54-66 wt. % Cu) @'-Li-Zn (10.5 at. % Li) (Fe, Co)S 2Ca(OH)z.A1(OH)zC104 8-Als+zXlg~-z(65 at. % AI) a-Be Os-Ir [44 3-64.3% (Os Ru) 1
... ... ... ... ...
+
1.61 1.61 1.611.63 1.61 1.61 1.61 1.61 1.61 1.61 1.61 1.61 1.61 1.61 1.61 1.62 1.62 1.62 1.62 1.62 1.62 1.621.65
2.90 2.95 2.973.00 3.10 3.12 3.26 3.28 3.42 3.45 3.46 3,613.69 3.26 4.534.38 4.40 4.90 4.96 5.74 2.542.53 2.71
e,
A.
4.384.33 4.34 4.534.55 4.584.66 4.72 4.74 4.824 90 5.57 5.60 d .63 5.66 5.67 6.83 7.24 8.71 8.928.90 4.28 4.32 4.34 4.584.66 4.90 5.09 5.15 5.25 5.57 5.76 5.81 5.86 6.19 7.42 4,074.09 4.164.31 4.21 4.444.37 4.34 4.39 4.394.43 4.41 4.544.53 4.544.55 4.62 4.71 4.764.84 4.94 4.99 5.21 5.26 5.47 5.52 5.53 5.786.03 5.23 7.247.16 7.03 7.85 7.94 9.2 4.094.08 4.374.38 4.444.45 4.444.48 4.46 4.49 4.79
Type
... ,
,.
,
.,
,
..
... .,, . ,,
Substance CuaSb (25-19 a t . % Sb) Fed V Z + & I - ~(11.8-31.5 at. % C) y-Ags-&ll+z (43-27 at. % AI) WZC h102C AgCda (69-83 a t . % Cd)
~~
A3 A3 -43 93 A3 t . .
D5z
43 A3
A3 A3 A3 A3 A3 A3 C6 D52 D5z
... ... ... ... ...
B4 A3 C6 B4 B4 B4 B8 A3
B4
CuzSnFe Ag6,zAI,,z
(43-27 at. % A1)
LiCda Hi m-Zr Tm Gd
T T
1
ThZS-3 ZrSn
... ...
Mn-Fe (13.4-32.4at. % MgaBir Ni-N Mn)
...
(33 1-24.5 at. % Fez+z?Jl-z CuaGe
...
Os-Ru T 4 cF e N
...
X)
... ...
MnZnr XnzN (35 0-27.2 at. % N)
...
V& (42-27 a t . % N)
...
...
...
B4
os
sc
...
A3
Lu Er Ho DY Tb BiTeI MgaSbz CuiiSba c- 1LIn- Z n (11.58-14.3 a t . % hln) Ru
... ... ... ...
... ...
...
2.762.73 (2.76P321 2.78) 2.76 A3 2.80 (A3) 2.98. .. 2.95 4.78 2.97 ... 4.81 2.99 ... 4.82 2.99 ... 4.99 3.10 ... 8.70 B4 3.54 5.88 3.65 C6 5.89 3 67 A3 6.12 3.80 B8 6.86 4.26 C6 10.66 6.64 C14 B30 10.68 A3 2.51 ... 2.55 4.22 ... 2.61 4.31 2.66 4.38... 2.714.41 2.73 4.75 2.93 4.772.94... 2.90 4.79
...
...
CuH Ti Ag-Hg (37.0-44.8 at. % Hg) TazC AIN ZnO ZnO-MnO (22 mole % h I n 0 ) (Ni, Fe)S TI NaTh Cr-Se (60-53.5 at. % Se) ZnO-CdO (5 mole % CdO) (Mg. Zn)aSbr (12.3-64.7 at. % Zn) NHdF y-MgsAg (20-25 at. % Ag) Bise 2Ca(OH)z.Al(OH)zC1Oa Mn-Fe (87.4-77.5 at. % Fe) FeaN (24.9-27.3 at. % N) Mn-Zn (16-50 at. % hfn) Crz+rN1--I. (33.4-27.6 at. %
K>
Re Fel-=Zn;+, (87-92 at. % Zn) Ag,-,Inl+,, z = 0 t o 1
VTe CdI2 BaMm MgZn 8-co MnFe6 (77-88 at. % Fe) Cus-rAsl+z (Nil Fe4K 8-AgsGa (>713' K.) Au-Sn (20.8-8.0 at. % Sn)
1714
ANALYTICAL CHEMISTRY _
.
Table 1'. c , A.
Type
Substance
c/a
1.621.65 1.621.63 1.621.63 1.62 1.62 1.62 1.621.63 1.62 1.621.63 1.621.63 1.62 1.62 1.62 1.62 1.62 1.62 1.62 1.62 1.62
2.942.91 2.972.93 2.962.94 3.00 3.02 3.06 3.193.10 3.20 3.203.21 3.603.69 3.66 3.66 3.75 3 83 3.98 4.13 4.14 4.17 4.22
4.764.80 4.804.79 4.774.78 4.86 4.89 4.95
... ...
8-.4u~+,Snl-, (16-12 a t . % Sn) dg-Sb (16-10 a t . % Sb)
... ...
AgSSn(19.7-13.3 a t . % Sn)
1.64 1.64 1.64 1.64 1.64 1.64 1.641.65 1.64 1.64 1.64 1.64 1.64 1.641 .6,5 1.64
1.62 1.62 1.62 1.62 1.62 1.63
4.54 5.71 5.86 5.94 6.23 2.562.69 2.60 2.60 2.60 2.70 2.73 2.902.99 2.92
1.63 1.63 1.63 1.63 1.63 1.63 1.631.64 1.63 1.63 1.63 1.63 1.63 1.63 1.63
1.63
1.63 1.63 (1.63) 1.63 1.63 1.63 1.68 1.63 1.63 1.68
3.073.10 3.13 3.213.17 3.19 3.21 3.21 3.35 3.43 3.58 3.58 (3.61) 3.63 3.75 3.76 3.76 3.80 4.13 4.20 4.24 4.26 4.31 4.32 4.36 4.40 4.44 4.47 4.51 4.53 4.74 4.78 4.81 4.83 4.87 4.96
1.63 1.631.65 1.63 1.63 1.63 1.63 1.63
5.04 5,225,lO 5.11 B . 14 5.18 5.26 5.43
1.63 1.63 1.63 1.63 1.64 1.64 1.641.66 1.64
5.48 6.43 8.40 9.00 2.66 2.66 2.912.92 2.912.93 3.68 3.77 3.82 3.83 3.97 4 04
1.64 1.64 1.64 1.64 1.64 1.64
B4 A3
C14 6.92 C14 6.96 B4 7.03 A3 7.06 7.10 C14 7.14 C14 7.25 7.29 c10' 7.34 c10 7.36 C41 7.73 C14 7.81 7.86 C14 7.88 C14 C14 7.95 C14 8.08 x 2 c10 8.24 8.568.42 8.32 DO14 8.39 C14 ... 8.44 C14 8.60 8.85 E9n C14 C14
... ... ... ... ...
... C6 B4 C6 A3 A3
...
c,
A.
1.64 1.64 1.64 1.64 1.64 1.64 1.64 1.64
.5,17 5.19 5.29 6.26 6.93 7.50 5.30 22.19
higTe KzGeFa RbzMnFs RbtGeFs Cahlgz Si-H
1,65 1.65 1.65 1.65
2.55 3.56 3.73 4.07
4.20 5.88 6.18 6.74
1.65 (1.65)
4.31 4.82
(Cri-,Se)
B4 7.36 9.27 ... 9.50 ... ... 9.63 10.12 C14 4.174.39 4.19 4.23 4.24 B4 4.38 A3 4.43 4.734.87 4.764.79 43 4,995.04 .4 3 5.09 5.21A3 5.15 5.18 B4 A3 5.20 5.21 A3 S.46 5.56 B8 5.83 5.84 A3 (5.89) 5.92 B8 A3 6.11 A3 6.13 6 13 C6 6.19 84 6.73 B4 6.86
A.
Pr 5-Ce =-La RlnBr: MnS MnTe CdS CZ FeBel
% Ad Mg-Zn (3-0 at. % Zn)
s-(afg, .4g) (3 a t .
. . I
a.
4.06 4.14 4.17 4.44 4.4.; 4.59 4.874.82 4.82 4.87 5.01 5.04 j.10 3.145.22 j.15
6.66 6.80 6.83 7.29 7.28 7.52 7.817 97 7.91 7.97 7.89 8.24 8 36 8.448.62 (8.43) X 2 8.51 8 53 8.66 10.25 11.35 12 29 13 63 36.34
...
5.04 A3 5.18 A3 5.195.21 5.82B8 6.03 83 5.91 -43 5.94 A3 6.07 C6 6.20 B4 6.44 B8 6.71 B4 6.71 6.76 C14 6.84
8.95 10.47 13.65 14.70 4.34 4.35 4.774.84 4.784.81 6.02 6.18 6.25 6.27 6.50 6.62
~
-
Hexagonal Substances Tabulated .kccording to ixial Ratios (Continued)
a, A.
5.16-
_
Cu&i CuAs 5-CusSi ( 1 4 . 5 at. % Si) Be0 B-Cr .4g-A< (9 8-15 1 at. yo As)
(1.6d)
4 87-
(1.62
.i 10
Ao-In (15 7-20 2 a t . 70In)
1.6:
llgCd?_z
1.65 1.65 1.65 1.661.68 1.66 1.66
Cd(Mg, AI), Mg-.41 (2-11 at. 5% 41) GabMg-1In ( I .i a t . 70h l n ) hlg
ZrlH CrI-*S (3-.%1?83 He ( I 45' K., 37 a t m . ) TrO? FeSe
Er
H?(4' K.) ZnAI?S+ ZrSez -phinSe Cd(S, Se) MnBe? CrRe:! CdSe B-Sr (521° K.) ReBer VBez CHsOH (165' K.) Hz0 (90' K.) Hz0 (273' K.) D?0 (272' K.) Fe?W FezTi FetTa FezCb MntTa MmTi Si02 (P-trydymite) MgZnz-MgCuAl (100-0 mole % ,hfgZnt) SisTi ZrCrz MgCuAl-Mg.lh ZrRen 4BeO.SaSbO8, swedenborgite Thh'ln? SrhIgn 8-41203
LizSnOa NiaC CoaN Cd-.4u (25.3-33 5 at. % Cd) AuaHg (18 8-32 4 at. % Hg) 6-Gar% VBr? ZnS MgBr? 8-Ca 5-N2 (-40' K.)
4.82
3.205.22 5.67 j.75 j.75 3.443.46 3.45 3.49
7 09 (7 97) x 2 (8 057 97) X 2 (8 40)
x 2 8 608 62 9 35 9 5 9 51 5 695 80 5.71 5.785.79 6.13 6.82 6.89 8.51 16 5 1 16.61 4.72 5.70 5.99 6.39 6.67 6.76
1.66 1.66 1.66 1.66 1.66 1.66 1.67 1.67 1.67 1.67 1.67 1.67
8.70 4.11 4.15 5.14 9.94 10.02 2 91 3.41 3.59 3 ,83 4.00 4.05
.67 .68 .68 ,68 .68 .68 .68 .68 .69 .69 .70 .70 .70
.i7 5 3.45 3.97 3.14 5.17 5.22 5.45 6.71 4.72 3.54 3.16 4.75 9'43
9 6 5.81 6.66 8.62 8.67 8.78 9.13 11.28 7.98 5.99 5,37 8.05 16.00
(1.71) 1.71 1 71 1 71 1 71 1 72 1 72 1 72
(3.23) 3.28 4.01 4.04 7.20 4.24 4.84 22 0
(5.51) 5.60 6.83 6.89 12,32 7.27 8.33 37.85
1.73 1.73 1.73 1.73 (1.73)
5.81 5.91 6.31 6 77 7.33
1.73
3 36 3.41 3.7i 3.93 (4.23)X I 2 2 , $5
1.74 1.74 1.74 1.74
4.73 .?. 33 3.75
10 0
1.74
8 2s
14.34
1.75
3.56
6.22
3.80
Type
C14 C14 C14 C14 C14
...
FeTaa RhCb AIgCui &io 6 RlnsZr 3IgCu.4l-MgCu? IIgiZn. Cuj?
... C14 C14 C14 C14 C14
... ... ...
C6 C6
...
MgZn? ZrOs? ZrY2 CaLi? i3-.4u-Be KSa? (CeHsCO)?. b e n d I
