research communications
reinvestigation and spectroscopic analysis of tricadmium orthophosphate
aLaboratoire de Chimie Appliquée des Matériaux, Centre des Sciences des Matériaux, Faculty of Science, Mohammed V University in Rabat, Avenue Ibn Batouta, BP 1014, Rabat, Morocco, and bLaboratoire de Physico-Chimie des Matériaux Inorganiques et Organiques, Centre des Sciences des Matériaux, Ecole Normale Supérieure, Mohammed V University in Rabat, Morocco
*Correspondence e-mail: fatimazahra_cherif@um5.ac.ma
This article is part of a collection of articles to commemorate the founding of the African Crystallographic Association and the 75th anniversary of the IUCr.
Single crystals of tricadmium orthophosphate, Cd3(PO4)2, have been synthesized successfully by the hydrothermal route, while its powder form was obtained by a solid-solid process. The corresponding was determined using X-ray diffraction data in the monoclinic P21/n. The consists of Cd2O8 or Cd2O10 dimers linked together by PO4 tetrahedra through sharing vertices or edges. (SEM) was used to investigate the morphology and to confirm the chemical composition of the synthesized powder. Infrared analysis corroborates the presence of isolated phosphate tetrahedrons in the structure. UV–Visible studies showed an absorbance peak at 289 nm and a band gap energy of 3.85 eV, as determined by the Kubelka–Munk model.
CCDC reference: 2306650
1. Chemical context
Phosphates with transition metals have received significant attention due to their wide range of potential applications in different fields of technology such as farming, energy storage, and in the medical field, as medicines or for diagnosis. For instance, Ni3(PO4)2 was identified as a heat-sensitive pigment and a catalyst for breaking and dehydrogenating aliphatic hydrocarbons (Correcher et al., 2013), while the orthophosphates Zn3(PO4)2 and Cu3(PO4)2 have been applied in dentistry as a component of tooth fillings and environmental contamination control (Servais & Cartz, 1971 and Rong et al. 2017), respectively. The aim of this paper is to provide a comprehensive discussion on the crystallographic arrangement of the β-Cd3(PO4)2 structure and to supply a full crystallographic description. Additionally, we will present the findings of our investigations into the compound's optical and morphological properties.
2. Structural commentary
Structural study
On the basis of the single crystal X-ray diffraction data analysis, the tri-cadmium orthophosphate crystallizes in the monoclinic system, P21/n. In this phosphate structure, all cadmium, phosphorus and oxygen atoms occupy the general Wyckoff positions 4e. The anisotropic of all atoms belonging to the of β-Cd3(PO4)2 leads to excellent merit factors {R[F2 > 2σ(F2)] = 0.023, wR(F2) = 0.054 and S = 1.07}, which corroborate the adopted crystallographic model.
Structural description
The β-Cd3(PO4)2 presents a 3D framework constructed from isolated PO4 tetrahedra and two different types of cadmium polyhedra, of coordination numbers five and six. The cadmium polyhedra are linked together to form a 3D framework. In this six of the nine cadmium atoms (Cd1, Cd2, Cd3, Cd4, Cd5, and Cd6) are located inside five-vertex polyhedra, with Cd—O bond lengths ranging from 2.1454 (19) to 2.3996 (18) Å, and averaging 2.2613 Å. The remaining three cadmium atoms (Cd7, Cd8, and Cd9) are located at the centers of six vertex polyhedra, with Cd—O bond lengths ranging from 2.2156 (17) to 2.5935 (19) Å, and averaging 2.3282 Å. The nearly regular phosphate tetrahedra in the structure have P—O bond lengths ranging from 1.527 (2) to 1.557 (2) Å, and averaging 1.538 Å. On the other hand, while Stephens (1967) noted irregularities in the PO4 tetrahedra due to incomplete of the structure, in this case the structure has been fully refined and the PO4 tetrahedra are all regular as shown by the bond lengths and the interatomic angles recorded in the supporting information.
ofThe calculated bond-valence-sum (BVS) values (Brown & Altermatt, 1985) of all atoms in the are in good agreement with the expected valence states of +5 for each of the six phosphorus atoms, +2 for each of the nine cadmium atoms. and almost −2 for all oxygen atoms except O6 (BVS −1.669). Nevertheless, we see that all oxygen atoms are each linked to one phosphorus atom and two cadmium atoms except O6, which is linked to one phosphorus atom and a single cadmium atom. In this context, if we take into account the contribution of the two cadmiums located at distances of 2.729 and 2.731 Å, the BVS (O6) will be equal to −1.884. This indicates that the structure is nearly ionic, with each ion donating or accepting the expected number of valence electrons.
This phosphate has a complex 4 tetrahedra linked to two different types of distorted cadmium polyhedra arranged in a specific pattern to form a three-dimensional framework with small tunnels along the a-axis direction (see Fig. 1). Moreover, the anionic network is formed by layers of PO4 tetrahedra stacked nearly along the [01] direction and the cadmium polyhedra fill the remaining space as shown in Fig. 2. Furthermore, the description of the sequence of the cadmium polyhedra is not easy. Indeed the polyhedra surrounding the cations (Cd2, Cd4 and Cd9) and (Cd5, Cd6 and Cd8) form two successive layers parallel to the ab plane (Fig. 3a). The first layer of the framework consists of Cd2O5, Cd4O5 and Cd9O6 polyhedra, forming a ring of eight polyhedra two pairs of square-based prisms that share an edge and four pyramids linked by the vertices (Fig. 3b). The second layer is composed of two Cd5O5, Cd6O5 pyramids and a deformed Cd8O6 octahedron arranged to share corners (Fig. 3c). This layer is connected to the first layer to form a 3D framework with tunnels along the a-axis direction (Fig. 3d). The zigzag chain composed of the remaining cadmium polyhedra, namely two pyramids, Cd1O5, Cd3O5, and the Cd7O6 prism fills the large tunnels of the framework (Fig. 3e). The polyhedra belonging to this chain share the edges or vertices and form a zigzag pattern in the tunnels, which consolidates the connection of the two layers. Moreover, a more laborious examination of the structure shows that the four groups of cadmium polyhedra Cd5O5–Cd7O6–Cd1O5–Cd6O5 share edges to form slabs, which are linked together by the corners to build an infinite zigzag chain along the a-axis direction, as shown in Fig. 3f.
composed of almost regular POPowder X-ray diffraction
The single crystal β-Cd3(PO4)2 produced high-quality crystallographic data, which were then used to run a profile matching with a Le Bail approach for X-ray powder analysis. This study leads to a very good match (Fig. 4), confirming the unit-cell parameters and space-group symmetry of the compound. The obtained lattice parameters are a = 9.1861 (8) Å, b = 10.3349 (8) Å, c = 21.689 (2) Å, and β = 99.575 (3)°, in the monoclinic system, P21/n. This fact is corroborated by the good merit factors: Rp = 8.1%, Rwp = 11.7%, Rexp = 8.5%, χ2 = 1.904.
and ofFourier-transform infrared analysis
Fig. 5 presents the FTIR spectra of β-Cd3(PO4)2, displaying two distinct regions of bands that originate from the [PO4]3− groups. The first region, ranging from 1151 to 936 cm−1, correspond to the P—O fundamental vibrational modes, while the second region, spanning from 624 to 431 cm−1, indicates the bending modes of O—P—O. These two groups of bands exhibit similarities with those observed in the A3(PO4)2 family (Jin et al., 2014). Specifically, the bands located at 1051, 1026, 971, and 936 cm−1 in β-Cd3(PO4)2 correspond to the fundamental vibrational modes of the symmetric P—O stretching, while the bands at 624, 597, 570, 558, 544, 531, and 431 cm−1 are assigned to the bending modes of O—P—O. Table 1 summarizes the bands and their corresponding assignments.
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Morphology of the powders
In Fig. 6, the morphology of β-Cd3(PO4)2 powders is depicted, showing particulate structures of a pulverized powder. The micrographic analysis indicates that the grains possess a well-defined shape. Furthermore, the EDX analysis confirms the purity and composition of the compound, which was also reported by Rajasri et al. (2019), thereby verifying its high quality.
UV–Visible spectroscopy analysis.
UV–Visible absorbance spectra of the β-Cd3(PO4)2 compound is presented in Fig. 7. The analysis was performed on a powder sample. An absorbance band is observed at 289 nm. The Kubelka–Munk analyses are required to determine the experimental band-gap energy. The band gap energy is the crossing point between the linear inclination of the absorption band and the energy axis. The estimated optical indirect band-gap energy is 3.85 eV. This energy value roughly places this phosphate in the class of semiconductors.
3. Database survey
The β-Cd3(PO4)2, was determined by Stephens (1967) using X-ray diffraction data collected from Weissenberg photographs. Its corresponding high-temperature form crystallizes in the monoclinic system and presents structural similarities with the β-Mn3(PO4)2 graftonite type (Stephens & Calvo, 1969). In light of this literature, β-Cd3(PO4)2 adopts the monoclinic P21/c with the following cell parameters: a = 9.221 (1) Å, b = 10.335 (1) Å, c = 24.902 (5) Å, and β = 120.7 (2)° (Stephens, 1967; see Table 2). However, the details are not readily available in the published articles. Furthermore, during our research on transition-metal-based phosphates, we have synthesized β-Cd3(PO4)2 crystals that crystallize in the monoclinic system with the lattice parameters a′ = 9.1895 Å, b′ = 10.3507 Å, c′ = 21.6887 Å, β′ = 99.64°, P21/n (see Table 2). In fact, these parameters are related to those found by Stephens through the following basis transformation a′ = a, b′ = b and c′ = a + c. Although there is a relationship between the unit-cell parameters, it is very difficult to compare the two structural models due to the low quality of the Stephens (1967) model. Thus, we cannot conclude that it is the same structure.
of the tricadmium diorthophosphate, namelyIt is important to note that the present structural model is obtained from the resolution and least-squares R and Rw (see Table 3) show that this model is correct. Moreover, the precisions of the interatomic distances and angles calculated from the atomic positions are very satisfactory and the values are compatible with the P—O and Cd—O distances and the O—P—O and O—Cd—O angles given in the literature of this type of phosphate. In the recent model, the cadmium–oxygen (Cd—O) bonds vary between 2.1454 and 2.5935 Å. In contrast, Stephens' structure shows a more varied Cd—O bond length, ranging from 2.13 to 2.7 Å. Furthermore, the current structure portrays the phosphate tetrahedra with regular geometries, wherein phosphorus–oxygen (P—O) bond distances are consistently between 1.527 and 1.556 Å. Stephens' model, on the other hand, presents a wider P—O bond distance variation, from 1.44 to 1.63 Å. The irregularities observed in the Stephens' polyhedral units potentially stem from the aforementioned data resolution limitations of that study.
of single crystal X-ray diffraction data (8280 reflections), measured with high precision. The low values of the reliability factors
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The rich crystal chemistry of the 3d transition-metal (II) orthophosphates attracts scientists to study their physico-chemical properties. From the crystallographic point of view, the most commonly adopted symmetry for the M3(PO4)2 family is the monoclinic system, P21/c. Table 2 summarizes the crystallographic data for a selection of compounds belonging to this family. It appears from analysis of this table that the structural study of practically all phosphates belonging to this family has long been carried out, except Cr3(PO4)2. The latter phosphate constructed from CrO5, CrO6 and PO4 polyhedra, is closely related to the studied phosphate in the present work. However, a structural reinvestigation of some phosphates, such as Ni3(PO4)2 and Mn3(PO4)2, has been undertaken in recent years, as shown in Table 2.
4. Synthesis and crystallization
Single crystals of β-Cd3(PO4)2 were synthesized by a hydrothermal process using the following protocol. In a Teflon beaker of 23 mL, cadmium nitrate (0.567 g, 99%) and phosphoric acid (1.09 mL of a solution of 14.615 M) were mixed in the molar ratio Cd(NO3)2:H3PO4 = 3:2, and 12 mL of distilled water were added to the mix. The Teflon beaker was placed in the autoclave, carefully sealed, and heated at 473 K for two days. The resulting product constituted two single-crystal types with different shapes. Binocular observations allowed us to estimate the percentage of the two different crystal forms at 50% each. Single-crystal X-ray analysis revealed that the first one corresponds to the well-known compound Cd5(PO4)3OH (Hata et al., 1978), a prism-shaped phosphate, while the second type, which is parallelepiped shaped, is the subject of the present work and was identified as β-Cd3(PO4)2.
The powder of the studied phosphate was synthesized by means of solid-state reaction carried out in air. Cadmium nitrate (99%), and di-ammonium hydrogen-phosphate (99%) were weighed at a molar ratio of 3:2 and ground thoroughly in an agate mortar. The mixture was pre-heated at 423 K, 623 K, and 823 K. The resulting powder was then ground thoroughly and heated to 1273 K for 24 h to obtain pure β-Cd3(PO4)2.
Experimental details
X-ray powder diffraction data were collected at room temperature using a Shimadzu diffractometer model LABXRD-6100, equipped with a secondary monochromator and Cu Kα radiation (λ = 1.54056 Å). The X-ray diffraction data were collected at 40 kV in the interval 10° ≤ 2θ ≤ 70° with a step of 0.04 in 2θ and a counting time of 1.2 s per step. The collected XRD pattern was fitted using JANA2006 software (Petříček et al., 2014). The morphology and composition of the synthesized material were characterized using a JEOL JSM-IT 100 scanning electron microscope (SEM) equipped with an EDX at an accelerating voltage of 20 kV. Fourier-transform infrared spectroscopy (FTIR) was performed using a Bruker Platinum-ATR instrument. UV–Visible absorbance measurements were performed on powder samples using a JASCO instrument in the range of 190 to 900 nm at room temperature. The crystal structures were visualized using DIAMOND crystal and molecular structure software (Bergerhoff et al., 1996).
Supporting information
CCDC reference: 2306650
https://doi.org/10.1107/S2056989023009775/oo2001sup1.cif
contains datablock I. DOI:Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2056989023009775/oo2001Isup2.hkl
Cd3(PO4)2 | F(000) = 2856 |
Mr = 527.14 | Dx = 5.165 Mg m−3 |
Monoclinic, P21/n | Mo Kα radiation, λ = 0.71073 Å |
a = 9.1895 (7) Å | Cell parameters from 9851 reflections |
b = 10.3507 (8) Å | θ = 2.2–36.3° |
c = 21.6887 (16) Å | µ = 9.81 mm−1 |
β = 99.644 (3)° | T = 296 K |
V = 2033.8 (3) Å3 | Parallelepiped, colourless |
Z = 12 | 0.31 × 0.27 × 0.22 mm |
Bruker X8 APEX Diffractometer | 9851 independent reflections |
Radiation source: fine-focus sealed tube | 8280 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.047 |
φ and ω scans | θmax = 36.3°, θmin = 2.2° |
Absorption correction: multi-scan (SADABS; Krause et al., 2015) | h = −15→15 |
Tmin = 0.544, Tmax = 0.747 | k = −17→17 |
129694 measured reflections | l = −36→36 |
Refinement on F2 | 0 restraints |
Least-squares matrix: full | Primary atom site location: dual |
R[F2 > 2σ(F2)] = 0.023 | Secondary atom site location: difference Fourier map |
wR(F2) = 0.054 | w = 1/[σ2(Fo2) + (0.0205P)2 + 4.3579P] where P = (Fo2 + 2Fc2)/3 |
S = 1.07 | (Δ/σ)max = 0.004 |
9851 reflections | Δρmax = 1.60 e Å−3 |
352 parameters | Δρmin = −1.74 e Å−3 |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
Refinement. The crystal structure of β-Cd3(PO4)2 was investigated using single-crystal X-ray diffraction data collected at room temperature with a Bruker D8 Venture Super DUO Diffractometer equipped with a PHOTON100 CMOS area-detector and monochromatic MoKα radiation (λ=0.71073 Å). APEX3 (Bruker, APEX3 (Version 5.054), SAINT (Version 6.36A), SADABS. (Bruker, 2016) software was used for data reduction and the absorption correction was performed by multi-scan semi-empirical method using SADABS program (Krause, et al. 2015). The crystal structure was solved using dual space algorithm as implemented in SHELXT program (Sheldrick, 2015a), completed by a Difference Fourier map and refined by least-squares using SHELXL program (Sheldrick 2015b) integrated into the WinGX interface (Farrugia, 2012). |
x | y | z | Uiso*/Ueq | ||
Cd1 | 0.74691 (2) | 0.71080 (2) | 0.36476 (2) | 0.01178 (3) | |
Cd2 | 0.27909 (2) | 0.39633 (2) | 0.92293 (2) | 0.01251 (3) | |
Cd3 | 0.60228 (2) | 0.39417 (2) | 0.58439 (2) | 0.01124 (3) | |
Cd4 | 0.94569 (2) | 0.28838 (2) | 0.95686 (2) | 0.01149 (3) | |
Cd5 | 0.71202 (2) | 0.41020 (2) | 0.77990 (2) | 0.01002 (3) | |
Cd6 | 0.05148 (2) | 0.60385 (2) | 0.74786 (2) | 0.01157 (3) | |
Cd7 | 0.60491 (2) | 0.60229 (2) | 0.89221 (2) | 0.00988 (3) | |
Cd8 | 0.40399 (2) | 0.70425 (2) | 0.70409 (2) | 0.01088 (3) | |
Cd9 | 0.93970 (2) | 0.59251 (2) | 0.56014 (2) | 0.01049 (3) | |
P1 | 0.69824 (6) | 0.43486 (5) | 0.43995 (2) | 0.00739 (9) | |
P2 | 0.95135 (6) | 0.36168 (6) | 0.67096 (3) | 0.00825 (9) | |
P3 | 0.69971 (7) | 0.64250 (6) | 0.66858 (3) | 0.00801 (9) | |
P4 | 0.35072 (6) | 0.42713 (5) | 0.77938 (2) | 0.00705 (9) | |
P5 | −0.03383 (6) | 0.57903 (5) | 0.89456 (2) | 0.00714 (9) | |
P6 | 0.62768 (7) | 0.35381 (6) | 1.00079 (3) | 0.00835 (9) | |
O1 | 0.7195 (2) | 0.32411 (17) | 0.39518 (8) | 0.0153 (3) | |
O2 | 0.62835 (19) | 0.55464 (17) | 0.40326 (8) | 0.0120 (3) | |
O3 | 0.84808 (19) | 0.46875 (17) | 0.47901 (8) | 0.0132 (3) | |
O4 | 0.5870 (2) | 0.39020 (19) | 0.48128 (8) | 0.0158 (3) | |
O5 | 0.8179 (2) | 0.30534 (18) | 0.62739 (9) | 0.0161 (3) | |
O6 | 1.0338 (2) | 0.4652 (2) | 0.63983 (10) | 0.0255 (5) | |
O7 | 1.0579 (2) | 0.24766 (18) | 0.68907 (8) | 0.0166 (3) | |
O8 | 0.9105 (2) | 0.41803 (19) | 0.73139 (8) | 0.0175 (4) | |
O9 | 0.7346 (2) | 0.57633 (18) | 0.60939 (8) | 0.0153 (3) | |
O10 | 0.5947 (2) | 0.75733 (17) | 0.64955 (8) | 0.0149 (3) | |
O11 | 0.8400 (2) | 0.70048 (17) | 0.70769 (9) | 0.0154 (3) | |
O12 | 0.6177 (2) | 0.5506 (2) | 0.70596 (9) | 0.0204 (4) | |
O13 | 0.28310 (19) | 0.54515 (17) | 0.74156 (8) | 0.0117 (3) | |
O14 | 0.3730 (2) | 0.31593 (17) | 0.73519 (8) | 0.0138 (3) | |
O15 | 0.50013 (19) | 0.45790 (17) | 0.82041 (8) | 0.0125 (3) | |
O16 | 0.2369 (2) | 0.38617 (18) | 0.82065 (8) | 0.0138 (3) | |
O17 | 0.0602 (2) | 0.63773 (19) | 0.84925 (8) | 0.0163 (3) | |
O18 | −0.18533 (19) | 0.53473 (17) | 0.85947 (8) | 0.0128 (3) | |
O19 | −0.0598 (2) | 0.68256 (17) | 0.94219 (8) | 0.0136 (3) | |
O20 | 0.05089 (19) | 0.46386 (16) | 0.92864 (8) | 0.0117 (3) | |
O21 | 0.4881 (2) | 0.30043 (18) | 0.95967 (9) | 0.0168 (3) | |
O22 | 0.6649 (2) | 0.49060 (17) | 0.98153 (8) | 0.0156 (3) | |
O23 | 0.7475 (2) | 0.25479 (18) | 0.99447 (9) | 0.0186 (4) | |
O24 | 0.6119 (2) | 0.36004 (19) | 1.07107 (8) | 0.0167 (3) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Cd1 | 0.01169 (7) | 0.01256 (7) | 0.01087 (6) | −0.00280 (6) | 0.00125 (5) | 0.00014 (5) |
Cd2 | 0.01060 (7) | 0.01629 (8) | 0.00983 (6) | 0.00050 (6) | −0.00060 (5) | −0.00269 (5) |
Cd3 | 0.00935 (7) | 0.01100 (7) | 0.01280 (7) | −0.00021 (5) | 0.00021 (5) | −0.00116 (5) |
Cd4 | 0.01258 (7) | 0.01305 (7) | 0.00873 (6) | −0.00046 (6) | 0.00142 (5) | 0.00123 (5) |
Cd5 | 0.01194 (7) | 0.00914 (7) | 0.00902 (6) | −0.00021 (5) | 0.00187 (5) | 0.00066 (5) |
Cd6 | 0.00914 (7) | 0.01060 (7) | 0.01430 (7) | −0.00063 (5) | 0.00009 (5) | −0.00122 (5) |
Cd7 | 0.01032 (7) | 0.01008 (7) | 0.00935 (6) | 0.00014 (5) | 0.00200 (5) | 0.00078 (5) |
Cd8 | 0.01204 (7) | 0.01262 (7) | 0.00817 (6) | 0.00067 (5) | 0.00220 (5) | 0.00167 (5) |
Cd9 | 0.01215 (7) | 0.01086 (7) | 0.00841 (6) | 0.00036 (5) | 0.00158 (5) | 0.00089 (5) |
P1 | 0.0078 (2) | 0.0074 (2) | 0.0064 (2) | −0.00011 (18) | −0.00040 (17) | −0.00001 (17) |
P2 | 0.0080 (2) | 0.0090 (2) | 0.0074 (2) | 0.00023 (18) | 0.00032 (17) | −0.00032 (18) |
P3 | 0.0085 (2) | 0.0079 (2) | 0.0072 (2) | 0.00045 (18) | 0.00022 (17) | −0.00030 (17) |
P4 | 0.0076 (2) | 0.0069 (2) | 0.00626 (19) | −0.00028 (18) | 0.00013 (17) | −0.00019 (17) |
P5 | 0.0077 (2) | 0.0068 (2) | 0.0065 (2) | −0.00028 (18) | −0.00001 (17) | −0.00010 (17) |
P6 | 0.0090 (2) | 0.0093 (2) | 0.0066 (2) | −0.00031 (18) | 0.00063 (18) | 0.00027 (18) |
O1 | 0.0210 (9) | 0.0105 (7) | 0.0122 (7) | 0.0037 (6) | −0.0040 (6) | −0.0047 (6) |
O2 | 0.0108 (7) | 0.0113 (7) | 0.0139 (7) | 0.0031 (6) | 0.0018 (6) | 0.0041 (6) |
O3 | 0.0094 (7) | 0.0163 (8) | 0.0127 (7) | −0.0006 (6) | −0.0016 (6) | −0.0052 (6) |
O4 | 0.0163 (8) | 0.0198 (9) | 0.0118 (7) | −0.0071 (7) | 0.0042 (6) | 0.0019 (6) |
O5 | 0.0124 (8) | 0.0132 (8) | 0.0194 (8) | 0.0010 (6) | −0.0070 (6) | −0.0054 (6) |
O6 | 0.0160 (9) | 0.0360 (12) | 0.0225 (9) | −0.0078 (8) | −0.0023 (7) | 0.0188 (9) |
O7 | 0.0176 (9) | 0.0154 (8) | 0.0157 (8) | 0.0064 (7) | −0.0010 (6) | −0.0020 (6) |
O8 | 0.0161 (9) | 0.0231 (9) | 0.0145 (7) | −0.0024 (7) | 0.0060 (6) | −0.0087 (7) |
O9 | 0.0155 (8) | 0.0166 (8) | 0.0145 (7) | −0.0019 (7) | 0.0048 (6) | −0.0060 (6) |
O10 | 0.0162 (8) | 0.0117 (8) | 0.0157 (7) | 0.0051 (6) | −0.0004 (6) | 0.0013 (6) |
O11 | 0.0124 (8) | 0.0102 (8) | 0.0203 (8) | 0.0006 (6) | −0.0066 (6) | −0.0037 (6) |
O12 | 0.0143 (9) | 0.0254 (10) | 0.0212 (9) | −0.0013 (7) | 0.0022 (7) | 0.0144 (8) |
O13 | 0.0094 (7) | 0.0108 (7) | 0.0144 (7) | 0.0015 (6) | 0.0002 (6) | 0.0046 (6) |
O14 | 0.0175 (8) | 0.0109 (7) | 0.0116 (7) | 0.0043 (6) | −0.0020 (6) | −0.0042 (6) |
O15 | 0.0095 (7) | 0.0145 (8) | 0.0122 (7) | 0.0004 (6) | −0.0019 (6) | −0.0030 (6) |
O16 | 0.0138 (8) | 0.0177 (8) | 0.0103 (7) | −0.0043 (6) | 0.0034 (6) | 0.0015 (6) |
O17 | 0.0179 (9) | 0.0194 (9) | 0.0122 (7) | −0.0069 (7) | 0.0045 (6) | 0.0041 (6) |
O18 | 0.0080 (7) | 0.0155 (8) | 0.0141 (7) | −0.0006 (6) | −0.0004 (6) | −0.0058 (6) |
O19 | 0.0199 (9) | 0.0095 (7) | 0.0098 (6) | 0.0042 (6) | −0.0025 (6) | −0.0026 (6) |
O20 | 0.0115 (7) | 0.0093 (7) | 0.0141 (7) | 0.0022 (6) | 0.0015 (6) | 0.0029 (6) |
O21 | 0.0134 (8) | 0.0153 (8) | 0.0185 (8) | −0.0015 (6) | −0.0065 (6) | −0.0026 (7) |
O22 | 0.0207 (9) | 0.0112 (8) | 0.0133 (7) | −0.0040 (6) | −0.0017 (6) | 0.0036 (6) |
O23 | 0.0153 (9) | 0.0152 (8) | 0.0272 (9) | 0.0027 (7) | 0.0092 (7) | −0.0004 (7) |
O24 | 0.0165 (9) | 0.0258 (10) | 0.0080 (6) | 0.0053 (7) | 0.0030 (6) | 0.0029 (6) |
Cd1—O2 | 2.1913 (17) | Cd8—O13 | 2.2156 (17) |
Cd1—O14i | 2.2782 (17) | Cd8—O1i | 2.2783 (17) |
Cd1—O17ii | 2.3068 (18) | Cd8—O16xii | 2.2973 (18) |
Cd1—O24iii | 2.3243 (18) | Cd8—O7iii | 2.3285 (18) |
Cd1—O7iv | 2.338 (2) | Cd8—O10 | 2.3381 (19) |
Cd2—O16 | 2.1896 (17) | Cd8—O12 | 2.522 (2) |
Cd2—O21 | 2.1900 (19) | Cd9—O3 | 2.2248 (17) |
Cd2—O20 | 2.2336 (18) | Cd9—O6 | 2.2297 (19) |
Cd2—O22v | 2.3602 (18) | Cd9—O21iii | 2.3135 (19) |
Cd2—O1vi | 2.3996 (18) | Cd9—O9 | 2.3230 (18) |
Cd3—O4 | 2.2176 (17) | Cd9—O3iv | 2.3411 (18) |
Cd3—O5 | 2.2409 (18) | Cd9—O23iii | 2.550 (2) |
Cd3—O2i | 2.2437 (17) | P1—O3 | 1.5316 (18) |
Cd3—O9 | 2.2598 (18) | P1—O1 | 1.5358 (18) |
Cd3—O19vii | 2.2818 (18) | P1—O4 | 1.5388 (18) |
Cd4—O23 | 2.1454 (19) | P1—O2 | 1.5529 (17) |
Cd4—O20viii | 2.1924 (17) | P2—O6 | 1.533 (2) |
Cd4—O4ix | 2.2702 (18) | P2—O5 | 1.5327 (18) |
Cd4—O19v | 2.2836 (17) | P2—O8 | 1.5376 (18) |
Cd4—O10x | 2.2978 (18) | P2—O7 | 1.5417 (19) |
Cd5—O12 | 2.2292 (18) | P3—O12 | 1.5283 (19) |
Cd5—O18viii | 2.2326 (17) | P3—O9 | 1.5354 (18) |
Cd5—O11x | 2.2486 (18) | P3—O11 | 1.5409 (18) |
Cd5—O8 | 2.2543 (18) | P3—O10 | 1.5430 (18) |
Cd5—O15 | 2.3196 (18) | P4—O14 | 1.5334 (18) |
Cd6—O17 | 2.2150 (18) | P4—O15 | 1.5391 (18) |
Cd6—O11xi | 2.2293 (18) | P4—O13 | 1.5430 (17) |
Cd6—O13 | 2.2396 (17) | P4—O16 | 1.5451 (18) |
Cd6—O14xii | 2.3131 (18) | P5—O19 | 1.5348 (18) |
Cd6—O8xi | 2.313 (2) | P5—O17 | 1.5383 (18) |
Cd7—O22 | 2.2441 (17) | P5—O18 | 1.5404 (18) |
Cd7—O15 | 2.2547 (17) | P5—O20 | 1.5429 (17) |
Cd7—O18viii | 2.2732 (17) | P6—O23 | 1.527 (2) |
Cd7—O5iii | 2.2808 (18) | P6—O22 | 1.5311 (19) |
Cd7—O24v | 2.2990 (19) | P6—O21 | 1.5372 (19) |
Cd7—O7iii | 2.5935 (19) | P6—O24 | 1.5566 (18) |
O2—Cd1—O14i | 94.64 (7) | O15—Cd7—O7iii | 77.53 (6) |
O2—Cd1—O17ii | 98.73 (7) | O18viii—Cd7—O7iii | 112.89 (6) |
O14i—Cd1—O17ii | 73.41 (6) | O5iii—Cd7—O7iii | 60.05 (6) |
O2—Cd1—O24iii | 121.70 (6) | O24v—Cd7—O7iii | 72.69 (6) |
O14i—Cd1—O24iii | 141.54 (7) | O13—Cd8—O1i | 92.86 (7) |
O17ii—Cd1—O24iii | 87.86 (7) | O13—Cd8—O16xii | 113.40 (7) |
O2—Cd1—O7iv | 142.93 (6) | O1i—Cd8—O16xii | 73.32 (6) |
O14i—Cd1—O7iv | 80.58 (7) | O13—Cd8—O7iii | 77.26 (6) |
O17ii—Cd1—O7iv | 114.60 (7) | O1i—Cd8—O7iii | 158.96 (7) |
O24iii—Cd1—O7iv | 77.21 (6) | O16xii—Cd8—O7iii | 93.39 (6) |
O16—Cd2—O21 | 110.02 (7) | O13—Cd8—O10 | 145.55 (6) |
O16—Cd2—O20 | 93.60 (7) | O1i—Cd8—O10 | 81.31 (7) |
O21—Cd2—O20 | 153.63 (7) | O16xii—Cd8—O10 | 97.48 (6) |
O16—Cd2—O22v | 152.72 (7) | O7iii—Cd8—O10 | 117.23 (7) |
O21—Cd2—O22v | 81.75 (7) | O13—Cd8—O12 | 87.84 (6) |
O20—Cd2—O22v | 82.22 (7) | O1i—Cd8—O12 | 101.36 (7) |
O16—Cd2—O1vi | 72.91 (6) | O16xii—Cd8—O12 | 158.06 (6) |
O21—Cd2—O1vi | 79.03 (7) | O7iii—Cd8—O12 | 96.82 (7) |
O20—Cd2—O1vi | 97.73 (7) | O10—Cd8—O12 | 60.58 (6) |
O22v—Cd2—O1vi | 134.32 (6) | O3—Cd9—O6 | 108.60 (8) |
O4—Cd3—O5 | 108.31 (7) | O3—Cd9—O21iii | 118.11 (7) |
O4—Cd3—O2i | 102.91 (7) | O6—Cd9—O21iii | 127.43 (7) |
O5—Cd3—O2i | 146.53 (7) | O3—Cd9—O9 | 95.37 (6) |
O4—Cd3—O9 | 101.42 (7) | O6—Cd9—O9 | 80.79 (7) |
O5—Cd3—O9 | 80.78 (7) | O21iii—Cd9—O9 | 115.63 (7) |
O2i—Cd3—O9 | 104.80 (7) | O3—Cd9—O3iv | 77.59 (7) |
O4—Cd3—O19vii | 75.41 (6) | O6—Cd9—O3iv | 83.26 (7) |
O5—Cd3—O19vii | 79.23 (6) | O21iii—Cd9—O3iv | 84.39 (7) |
O2i—Cd3—O19vii | 97.58 (7) | O9—Cd9—O3iv | 159.49 (7) |
O9—Cd3—O19vii | 157.50 (7) | O3—Cd9—O23iii | 82.85 (6) |
O23—Cd4—O20viii | 133.04 (7) | O6—Cd9—O23iii | 153.31 (7) |
O23—Cd4—O4ix | 105.57 (7) | O21iii—Cd9—O23iii | 59.54 (6) |
O20viii—Cd4—O4ix | 118.55 (7) | O9—Cd9—O23iii | 74.04 (6) |
O23—Cd4—O19v | 86.54 (7) | O3iv—Cd9—O23iii | 123.24 (6) |
O20viii—Cd4—O19v | 90.31 (7) | O3—P1—O1 | 108.84 (10) |
O4ix—Cd4—O19v | 74.37 (6) | O3—P1—O4 | 111.71 (10) |
O23—Cd4—O10x | 110.78 (8) | O1—P1—O4 | 108.13 (11) |
O20viii—Cd4—O10x | 80.80 (6) | O3—P1—O2 | 110.91 (10) |
O4ix—Cd4—O10x | 96.33 (6) | O1—P1—O2 | 110.94 (10) |
O19v—Cd4—O10x | 162.23 (7) | O4—P1—O2 | 106.28 (10) |
O12—Cd5—O18viii | 104.06 (7) | O6—P2—O5 | 113.44 (11) |
O12—Cd5—O11x | 130.59 (7) | O6—P2—O8 | 108.65 (12) |
O18viii—Cd5—O11x | 122.38 (7) | O5—P2—O8 | 112.67 (11) |
O12—Cd5—O8 | 83.60 (7) | O6—P2—O7 | 107.92 (12) |
O18viii—Cd5—O8 | 94.01 (7) | O5—P2—O7 | 105.92 (10) |
O11x—Cd5—O8 | 107.18 (7) | O8—P2—O7 | 107.98 (11) |
O12—Cd5—O15 | 83.32 (7) | O12—P3—O9 | 110.88 (12) |
O18viii—Cd5—O15 | 81.78 (6) | O12—P3—O11 | 113.07 (11) |
O11x—Cd5—O15 | 87.22 (7) | O9—P3—O11 | 111.18 (11) |
O8—Cd5—O15 | 164.84 (7) | O12—P3—O10 | 106.22 (11) |
O17—Cd6—O11xi | 101.60 (7) | O9—P3—O10 | 109.20 (10) |
O17—Cd6—O13 | 103.11 (7) | O11—P3—O10 | 105.98 (10) |
O11xi—Cd6—O13 | 150.83 (7) | O14—P4—O15 | 108.48 (10) |
O17—Cd6—O14xii | 74.45 (6) | O14—P4—O13 | 110.24 (10) |
O11xi—Cd6—O14xii | 81.67 (6) | O15—P4—O13 | 112.60 (10) |
O13—Cd6—O14xii | 90.24 (7) | O14—P4—O16 | 109.29 (11) |
O17—Cd6—O8xi | 102.19 (6) | O15—P4—O16 | 110.29 (10) |
O11xi—Cd6—O8xi | 83.31 (7) | O13—P4—O16 | 105.89 (10) |
O13—Cd6—O8xi | 106.17 (7) | O19—P5—O17 | 108.76 (11) |
O14xii—Cd6—O8xi | 163.55 (7) | O19—P5—O18 | 108.10 (10) |
O22—Cd7—O15 | 105.64 (7) | O17—P5—O18 | 111.09 (10) |
O22—Cd7—O18viii | 90.72 (7) | O19—P5—O20 | 109.87 (9) |
O15—Cd7—O18viii | 82.34 (6) | O17—P5—O20 | 108.60 (11) |
O22—Cd7—O5iii | 126.62 (7) | O18—P5—O20 | 110.39 (10) |
O15—Cd7—O5iii | 126.31 (7) | O23—P6—O22 | 113.50 (11) |
O18viii—Cd7—O5iii | 85.34 (7) | O23—P6—O21 | 104.52 (11) |
O22—Cd7—O24v | 83.70 (7) | O22—P6—O21 | 112.15 (10) |
O15—Cd7—O24v | 93.27 (7) | O23—P6—O24 | 107.62 (11) |
O18viii—Cd7—O24v | 171.73 (7) | O22—P6—O24 | 106.90 (11) |
O5iii—Cd7—O24v | 102.88 (7) | O21—P6—O24 | 112.17 (11) |
O22—Cd7—O7iii | 156.36 (7) |
Symmetry codes: (i) −x+1, −y+1, −z+1; (ii) x+1/2, −y+3/2, z−1/2; (iii) −x+3/2, y+1/2, −z+3/2; (iv) −x+2, −y+1, −z+1; (v) −x+1, −y+1, −z+2; (vi) x−1/2, −y+1/2, z+1/2; (vii) −x+1/2, y−1/2, −z+3/2; (viii) x+1, y, z; (ix) x+1/2, −y+1/2, z+1/2; (x) −x+3/2, y−1/2, −z+3/2; (xi) x−1, y, z; (xii) −x+1/2, y+1/2, −z+3/2. |
Band | Assignment |
431 | PO4 v2 out of plane bending modes |
531 | PO4 v4 out of plane bending modes |
544 | PO4 v4 out of plane bending modes |
558 | PO4 v4 out of plane bending modes |
570 | PO4 v4 out of plane bending modes |
597 | PO4 v4 out of plane bending modes |
624 | PO4 v4 out of plane bending modes |
936 | The symmetric P—O stretching corresponds to the fundamental vibrational mode v1 |
971 | The symmetric P—O stretching corresponds to the fundamental vibrational mode v1 |
1026 | The triple-degenerate asymmetric P—O stretching mode corresponds to the v3 fundamental vibrational mode |
1051 | The triple-degenerate asymmetric P—O stretching mode corresponds to the v3 fundamental vibrational mode |
Compound | Space group | a | b | c | β | Z | V | Reference |
Ca3(PO4)2 | P21/a | 12.89 (6) | 27.28 (5) | 15.22 (3) | 126.2 (9) | 24 | 4317.5 | Mathew et al. (1977) |
Cd3(PO4)2 | P21/c | 9.22 (4) | 10.34 (9) | 24.90 (2) | 120.7 (1) | 12 | 2030.0 | Stephens (1967) |
P21/n | 9.19 (7) | 10.35 (1) | 21.69 (9) | 99.6 (2) | 12 | 2033.8 | Present work | |
Co3(PO4)2 | P21/n | 5.06 (8) | 8.36 (2) | 8.79 (4) | 121.0 (1) | 2 | 319.4 | Anderson et al. (1975) |
Cr3(PO4)2 | P21/n | 4.97 (9) | 9.50 (3) | 6.48 (2) | 91.4 (3) | 2 | 305.6 | Glaum et al. (2011) |
Fe3(PO4)2 | P21/a | 10.44 (3) | 4.79 (2) | 6.03 (2) | 91.0 (5) | 2 | 301.3 | Ericsson & Khangi (1988) |
P21/n | 8.88 (2) | 11.17 (3) | 6.15 (8) | 99.4 (8) | 4 | 601.0 | Kostiner & Rea (1974) | |
Mg3(PO4)2 | P21/n | 7.60 (7) | 8.23 (1) | 5.08 (1) | 94.1 (5) | 2 | 316.6 | Nord & Kierkegaard (1968) |
P21/m | 7.605 (2) | 8.233 (3) | 5.080 (1) | 94.19 (3) | 2 | 317.2 | Baykal et al. (1997) | |
P21/n | 10.25 (9) | 4.72 (2) | 5.92 (4) | 90.9 (1) | 2 | 287.0 | Nord & Stefanidis (1983) | |
Mn3(PO4)2 | P21/c | 8.94 (3) | 10.04 (1) | 24.12 (8) | 120.8 (3) | 12 | 1861.1 | Stephens & Calvo (1969) |
P21/c | 8.80 (4) | 11.45 (1) | 6.25 (5) | 99.0 (2) | 4 | 621.9 | Volkova et al. (2016) | |
P21/c | 8.92 (1) | 9.15 (9) | 8.66 (9) | 111.7 (1) | 4 | 657.2 | Neher & Salguero (2017) | |
Ni3(PO4)2 | P21/n | 5.82 (6) | 4.69 (2) | 10.10 (5) | 91.1 (3) | 2 | 276.1 | Escobal et al. (2005) |
P21/c | 8.70 (2) | 11.12 (1) | 6.11 (2) | 100.0 (8) | 4 | 581.7 | Nord & Stefanidis (1983) | |
Pb3(PO4)2 | C2/c | 13.81 (8) | 5.69 (8) | 9.43 (3) | 102.4 (3) | 4 | 723.5 | Brixner et al. (1973) |
Sr3(PO4)2 | R3m | 5.3901 (8) | 5.3901 (8) | 19.785 (5) | 4 | 497.8 | Sugiyama & Tokonami (1990) | |
Ba3(PO4)2 | R3m | 5.6038 (7) | 5.6038 (7) | 21.000 (5) | 4 | 571.1 | Sugiyama & Tokonami (1990) | |
Zn3(PO4)2 | P21/c | 5.07 (2) | 8.47 (3) | 8.77 (2) | 120.5 (5) | 2 | 323.1 | Calvo (1963); Stephens & Calvo (1967) |
C2/c | 8.14 (7) | 5.63 (3) | 15.04 (9) | 105.1 (8) | 4 | 665.4 | Calvo (1965) | |
P21/n | 9.39 (8) | 9.17 (1) | 8.69 (3) | 125.7 (3) | 4 | 607.3 | Stephens & Calvo (1969) |
Acknowledgements
The authors would like to express their sincere gratitude to the Faculty of Science, Mohammed V University in Rabat for providing the resources and facilities necessary for carrying out this research and to the Laboratory of Physico-Chemistry of Inorganic and Organic Materials (LPCMIO), Normal School Supérieure (ENS), Rabat, Morocco for the FTIR analysis and for the fruitful collaboration.
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