CYCLOHEXAPHOSPHATE STRUCTURE Ca
2
M
2
P
6
O18 и 6H
2
O
309
TABLE 1
space group with the refined unit cell dimensions men-
tioned in Table 2. Indexing of the X-ray diffraction pattern,
with the refined parameters, is reported for the three com-
pounds in Table 3. The Ca K P O и 6H O unit cell param-
Crystal Data and Experimental Parameters Used for the
Intensity Data Collection; Strategy and Final Results of the
Structure Determination
2
2
6
18
2
eters are close to those obtained with a four-circle diffracto-
meter (Table 1).
I. Crystal data
Formula: Ca
Crystal system: monoclinic
2
K
2
P
6
O
18 и 6H
2
O
Fw ϭ 740.28
Space group: P2
Z ϭ 2
1
/n
a ϭ 7.266 (1), b ϭ 11.833 (2),
˚
˚
3
c ϭ 12.300 (2) A, ͱ ϭ 103.17
V ϭ 1030(3) A
B. IR Absorption Spectroscopy
(1)Њ
Refinement of unit cell parame- 25 reflections (10.4Њ Ͻ Ͻ 11.6Њ)
The infrared absorption spectra exhibit:
ters with:
cal. ϭ 2.387 g cm
Ϫ
3
F(000) ϭ 372
Ȑ(AgKͰ) ϭ 0.77 mm
—two broad bands at about 3600–3200 and another at
Ϫ
1
Linear absorption factor:
Ϫ
1
1
650 cm corresponding to the water molecules in the
crystal arrangement, and
various valency vibration bands the number and
Morphology: quadratic prism
Crystal size: 0.32 ϫ 0.19 ϫ 0.19 mm
II. Intensity measurements
—
˚
Temperature: 294 K
Diffractometer: Enraf–Nonius
CAD4
Wavelength: AgKͰ (0.5608 A)
Scan mode: Ͷ
Ϫ
1
positions of which, between 1300 and 600 cm , character-
ize a phosphoric ring anion (4). In this type of anions
the vibrations of the O–P–O groups appear at relatively
Monochromator: graphite plate
Max scan time: 65 s
Measurement area: Ϯh, k, l
Total background measuring
time:
Scan width: 1.20Њ
Theta range: 2–30
Ϫ
1
high frequencies, i.e., 1200 Ͻ Ͻ 1300 cm and
as
h
max. ϭ 12, kmax. ϭ 20, lmax. ϭ 21
Ϫ
1
1
050 Ͻ Ͻ 1200 cm . Those corresponding to the
s
sA scan time
P–O–P groups give rise to a broad band around 960
as
Ϫ
1
Ϫ
1
Total number of scanned reflec- 6573
tions:
Total number of independent re- 6292
flections:
cm and a doublet between 800 and 700 cm . Figure
s
1
a
shows, as an example, the IR spectrum of
Ca K P O и 6H O.
2
2
6
18
2
Two intensity and orientation
reference reflections:
2ළ 71, 2 ළ7 1ළ (no variation)
C. Thermal Analysis
III. Structure determination
Lorentz and polarization correc- No absorption correction
tions
At rising temperature the compounds show similar trans-
formations between 100 and 600ЊC (Table 4). We describe
here the thermal behavior on hand of that of
Ca K P O и 6H O.
Program used: MolEN (5)
Computer used: Micro-Vax 3100
Determination: Patterson and successive Fourier synthesis. H atoms
from difference Fourier map.
Thermal displacement parameters atoms: Isotropic for H atoms, aniso-
tropic for other
2
2
6
18
2
Two curves corresponding to DTA and TGA analyses
in open air are given in Fig. 2 for Ca K P O и 6H O. In
2
2
6
18
2
Unique reflections included:
Weighting scheme: unitary
Residual Fourier density:
3486 with I Ͼ 4 (I)
Refined parameters: 178
Ϫ0.38 Ͻ Ͻ 0.71 e A
order to prepare an interpretation as correct as possible
of the two curves, we performed, in addition, an investiga-
tion by X-ray diffraction and IR absorption which we re-
port and discuss below.
˚
Ϫ
3
Unweighted agreement factor R: 0.025
Weighted agreement factor R
w
:
0.027
e.s.d.: 0.86
Largest shift/error: 0.32
The thermal analysis curves show that the cyclohexa-
phosphate Ca K P O и 6H O undertakes at about 125 and
2
2
6
18
2
170ЊC two endothermic dehydrations well confirmed by
TABLE 2
2 2 6 2
Main Crystal Data for Ca M P O18 ؒ 6H O Cyclohexaphosphates
Unit cell parameters
˚
a
Ͱ
b
ͱ
c(A)
Ͳ(Њ)
˚
Compounds
18 и 6H
18 и 6H
18 и 6H
S.G.
Z
2
V (A)
Ca
2
Ca
2
Ca
2
K
2
P
6
O
2
O
7.309(3)
7.233(3)
7.290(3)
11.862(3)
12.335(3)
12.193(4)
12.236(3)
P2
P2
P2
1
1
1
/n
/n
/n
1041
1006
1016
1
03.22(2)
Tl
2
P
6
O
2
O
11.582(5)
2
9
9.94(2)
Rb
2
P
6
O
2
O
11.593(3)
00.86(1)
2
1