Symbols of the 230 Crystallographic Space Groups
空间群是点对称操作和平移对称操作的对称要素全部可能的组合。点群表示晶体外形上的对称关系,空间群表示晶体结构内部的原子及离子间的对称关系。空间群一共230个,它们分别属于32个点群。晶体结构的对称性不能超出230个空间群的范围,而其外形的对称性和宏观对称性则不能越出32个点群的范围。属于同一点群的各种晶体可以隶属于若干个空间群。
230种晶体学空间群的记号
Symbols of the 230 Crystallographic Space Groups
点群 (Point group) 晶系(Crystal 圣佛利斯system) 国际符号符号(HM) (Schfl.) 三斜 晶系 单斜 晶系 1 空间群(Space group) C1 Ci P1 P P21 Pc P21/m P2221 Pmc21 Cmm2 Imm2 Pnnn Pbcm Cccm C2 Cm C2/m Cc F222 Pmn21 Ama2 2 P2 Pm P2/m P222 Pmm2 m 2/m 222 P2/c P21/C C2/c C222 Pnc2 P21212 P212121 C2221 Pcc2 Cmc21 Iba2 Pccm Pnnm Cmma Pma2 Pca21 I222 I212121 Pba2 Pna21 Aba2 Fmm2 mm2 Pnn2 Fdd2 Pmmm Ccc2 Amm2 Abm2 Ima2 正交 晶系 mmm Pmna Pnma Immm Pban Pmma Pnna Pmmn Pbcn Pbca Ccca Fmmm Fddd Pcca Pbam Cmcm Cmca Ibam Ibca Pccn Cmmm Imma P41 I P42 P43 I4 I41 4 四方 P4 P 晶系 4/m 422 P4/m P422 I4122 P4mm P42/m P4212 P4/n P4122 P42/n I4/m I41/a P41212 P4222 P42212 P4322 P43212 I422 P4bm I41md P42cm I41cd 4mm P42nm P4cc P4nc P42mc P42bc I4mm I4cm P c2 I m2 2m P 2m P2c P 21m P21c P m2 P b2 Pn2 Ic2 I 2m I 2d P4/mmm P4/mcc P4/nbm P4/nnc P4/mbm P4/mnc P4/nmm P4/ncc P42/mmc 4/mmm P42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm I4/mmm I4/mcm I41/amd I41/acd P32 R3 R32 Imm 3 P3 P P31 R 三方 晶系 32 3m P3112 P3c1 Pm1 P65 P312 P3m1 P1m P6 P P321 P31m P 1c P61 P3121 P3212 P3221 P31c R3m R3c Ia3 m 6 Pc1 R m R c P62 P P63 6/m P63/m P6122 P6cc P6522 P63cm P6/m P622 P6mm 六方 晶系 622 6mm P6222 P22 P6322 P63mc I213 Im3 Pa3 m2 6/mmm 23 P m2 P c2 P 2m P 2c P6/mmm P23 Pm3 P432 P6/mcc F23 Pn3 P4232 P63/mcm I23 Fm3 F432 P63/mmc P213 Fd3 m 432 F4132 I432 P4332 P4132 I4132 I 3d 立方 晶系 3m P 3m F 3m I3m P3n F 3c Fd c m m Pm m Pn n Pmn Pn m Fm m Fm c Fd m Ia d
1. The product was a mixture of unidentified dark blue microcrystals and brown
crystals
2. The mixture was then heated at 180°C for four days in a Teflon-coated steel
autoclave. The product, consisting of clear single crystals of MAP-RHO1 and an unidentified white powder, was recovered by filtration and washed with deionized water.
3. Attempts to isolate this compound by removal of solvent (0 OC, l0-2 mmHg)
resulted in decomposition to unidentifiable products.
4. Strong hydrogen bonding occurs only when the hydrogen atom is collinear with
the bonded atoms.
5. The hydrogen atom is located closer to one atom or the other.
6. Here the substitutional hydrogen atom located in a surface vacancy or the
hydrogen at an interstitial position of surface is a half-confined atom which is only weakly bound.
7. The ethylenediamine ligand was chosen for its ability to chelate copper ions
leaving two free positions translocated so that {Cu(en) 2 } 2+ can act as a linking agent between two POMs, via bridging oxygen atoms [4] and (c. We have studied the influence of the initial pH .
8. The ions or molecules surrounding the central atom are called ligands. Ligands
are generally bound to the central atom by a coordinate covalent bond (donating electrons from a lone electron pair into an empty metal orbital), and are said to be coordinated to the atom. There are also organic ligands such as alkenes whose pi bonds can coordinate to empty metal orbitals. An example is ethene in the complex known as Zeise's salt, K+[PtCl3(C2H4)]−.
9. One nickel ion is coordinated by three ligands (with low occupancy of a fourth ligand) and
the second is coordinated by five ligands.
10. The eleven tungsten centers of compound 1 have a distorted octahedral geometry. 11. All the tungsten atoms have distorted octahedral geometry
the +6 oxidation state.
and
the bond-valence sum (BVS) model25 clearly indicates that all the tungsten atoms are in
12. 13. 14. 15.
(1) dispersion of the negative charge over many atoms of the polyanion and
Anal. Calc. For
which is not thought of as being novel.
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ions exhibits distorted octahedral geometry, with a single TFA – anion (not shown) occupying the sixth coordination site in all cases.
16. The coordination sphere around each of the six equivalent Zn(II)
17. The coordination geometry of this cadmium ion displays a distorted octahedron, with
His143 N 2 , His153 N 2 , Wat359 and Wat416 forming an octahedral base plane, and His147 N 2 and Wat418 being located at the vertices
18. In these polymers the metal atom exhibits
octahedral geometry but only two coordination sites of transition metal were used to propagate the network.
19. The coordination geometry of this cadmium ion displays a distorted octahedron, with
His143 N
2 , His153 N 2 , Wat359 and Wat416 forming an octahedral base plane, and His147 N 2 and
Wat418 being located at the vertices
20. receives contributions from four nitrogen donors belonging to two en
molecules, two oxygen donors from two cluster anions
21. The coordination geometry around copper ions can approximately be described as
orthorhombically distorted octahedral 22. Each Mn(1) atom is bridged with three symmetry- equivalent Mn(1) atoms through
O(1) atoms and each O(1) atom is linked with three Mn(1) atoms. 23. Each metal ion in the square is six-coordinate; four of the coordination sites are occupied
by the nitrogen atoms of two of bpy ligands and the remaining cis coordination sites are occupied by cyanide-carbon or cyanide-nitrogen atoms.
24. cube- 50 shaped blocks having
parallel front and rear faces, parallel side faces and parallel upper and lower faces.
25. the two molecules shown in cyan (!) and red (//) are related by a crystallographic
two-fold axis, perpendicular to the plane, likewise red (Hi) and ...
26. with its apex pointing in the direction of flow
27. The 690 (675) em -1 loss with a relatively strong intensity is ascribed to the SiC
symmetric stretching vibration, because the SiC stretching vibrations of organa-silicon compounds are observed between -600 and 800 cm \"!
28. The 1100–700 cm−1 range shows the As–O stretching modes of the (AsO3OH)2− and
(As2O7)4− groups. As already mentioned, the complexity of the crystal structure does not allow to be more specific. The strong and sharp band in infrared and the weak one in Raman spectra around 909 cm−1 could be attributed to the antisymmetric bridge stretching vibration, νas (As–O–As) of pyroarsenate groups [27]. The most intense Raman bands around 876 cm−1 (very weak in IR) and 857 cm−1 correspond to the symmetric stretching vibrations of (AsO3OH)2− and (As2O7)4− groups, respectively. 29. Compound
2 has been synthesized with the same procedure with
Pb(OAc)2 .3H2O
30. The geometry around Cu(1) has the square pyramidal coordination with 3NO donor
atoms in the basal plane and water oxygen atom at the apical position. 31. Each dca ligand adopting
the end-to-end coordination mode is μ-bonded to two MnII ions with an Mn···Mn separ- 32. The two Cys S atoms bind to the copper ions in a distorted
square planar fashion, each S interacting with both copper ions. .. 33. The vibrational results strongly suggest that methionine sulfur is
bound to copper in the proteins.
34. 35. 36. 37.
38.
and Nd was bonded to the COO- group of EAA.
the electrons are inter-shared between the different atoms.
The central atom or ion, together with all ligands comprise the coordination sphere.
is the neutral [Cu(bpca)(dca)(H 2 O)] complex in which the three bpca nitrogen atoms and a terminal dca nitrogen bind to copper in equatorial positions
The XPS estimations obtained on the valence state values are in reasonable agreement with those calculated from bond valence sum calculations of compounds 1-3.
39. 40. 41. 42. 43. 44. 45. 46. 47. 48.
Both Sn atoms exist in distorted octa- hedral geometries, each defined by two cis-CH . The CuI ion is coordinated in a tetrahedral configuration the ligand coordinates only via the phosphorus atom
half the dca ligands coordinate directly (through all three nitrogen atoms) to three Mn atoms
W spectroscopic data of solutions of PCs in dimethyl sulfoxide were obtained with a Beckmann DU-7 W-Vis spectrophotometer
The UV-vis-near I R spectra were recorded in N,N-di- methylformamide (DMF) solution by using a Perkin-Elmer
the Sn atom exists in a distorted tetragonal geometry in which the basal plane
is defined by four S atoms and the axial positions are occupied by two butyl substituents The same procedure was carried out with 2 ml of plant extract (10 g/l) instead of rutin solution.All determinations were carried out in duplicates.
] the same procedure was carried out in the absence of ex- tracellular Na, with choline used in place of Na,
Fe1 (Fe1A) with NO5 donor set, including one N atom together with three O
atoms from two L3- ligands and two carboxylic-O atoms from two PhCO2- groups 49. The coordination sphere of Dy1 is completed by two nitrogen atoms (N1 and N7*),
two ... N4 and N5) from a planar pentadentate dihydrazone uni 50. However, the
bond-valence sum calculated for Bi 3+ shows a 32% deficiency from its ideal value of 3.0.
51. The bond valence sums of oxygens in the polyanion are listed in Table 4, and fall
within the range 1.59-2.03 except for O(11), O(12), O(39), and O(40). The bridging atoms, O(11) and O(12), have BVS values of 1.19 and 1.32, and are therefore presumed to be hydroxo groups. T
52. Copper(II) ions display a square-pyramidal coordination geometry (τ = 0.06) for the N 2
OCl 2 donor set, where the basal coordination sites are occupied by one of the bridging chlorine atoms
and the three donor atoms of the tridentate ligand and the apical site is occupied by
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