Probability ellipsoid

Figure 3. ORTEP [7] drawing of the benzoylacetone molecule showing 50% probability ellipsoids.

Figure 5 ORTEP drawing (50% probability ellipsoids) and atomic numbering scheme for SeCh(THT)2...

Figure 16 A section of the two directly neighboring [Te15Br42+]n polycations in the structure of [Te15Br4][MOBr4]2. The Te(4) positions are only 75% occupied the dotted lines indicate the weak interionic Te Br contacts (3.29 A, 90% probability ellipsoids) the superscript roman numerals indicate symmetry-related atoms...

If y1 Y2, and Y3 are normally distributed, the constant probability surfaces are ellipsoids centered at y (Figure 5.12) and the statistical projection y of y will be defined as the point where the plane is tangent to the innermost probability ellipsoid. Points on the same ellipsoid are by definition at the same statistical distance from y. If Sy is the covariance matrix of the vector y, the statistical distance c between y and y is given by... 

Figure 5.12 Statistical projection p of the observation vector y onto the plane defined by the vectors al and a2. p is the point where the plane is tangent to the innermost probability ellipsoid.

Fig. 1. ORTEP drawing for [Mn(L)Cl2], showing the labeling scheme and the 50% probability ellipsoids for the non-hydrogen atoms 34).

Figure 6.5 ORTEP view of the cation of complex 21 (50% probability ellipsoids, reproduced with permission from Elsevier). Selected bond lengths (A) and angles (°) Ir-Pl 2.349(2), Ir-Cl 2.208(7), lr-P2 2.3007(18), lr-C2 2.194(7), lr-P3 2.3022(18),...

Figure 6.8 ORTEP view of complex 41 (30% probability ellipsoids, with permission from VCH). Selected bond lengths (A) and angles (deg) Irl-Nl 2.166(7), lrl-N2 2.128(8), Irl-Pl 2.229(3), lrl-P2 2.213(3), Irl-lr2 3.0215(5),...

Figure 14 ORTEP representations (a) the core and (b) complete complex [Mn3o024(OH)8(02CCH2Bu )32-(H20)2(CH3N02)4] (78) showing 50% probability ellipsoids.

Figure 4.7 Molecular structure of monohydride HMn(CO)4PPh3, shown with 60% probability ellipsoids based on neutron refinement. (Reproduced with permission from ref. 14.)...

FIG. 10.1 3 Diagram of the bis(dicarbonyl-7t-cyclopentadienyl iron) molecule at 74 K. The 50% probability ellipsoids are shown. Source Mitschler et al. (1978). 

Figure 17. An ORTEP view of the anion of [(2-pyridyl)(l-hydro-2-pyridinium) amine] [bis (2,6-pyridinedicarboxylato)chromate(III)] trihydrate shown with 30 % probability ellipsoids and the atom numbering scheme. (Reproduced by permission from reference 119).

Figure 3. Analcime. Apparent thermal-motion probability ellipsoids of the T and 0 atoms in the A structure and the displacements from the symmetrized position obtained by DLS. Ellipsoids are based on thermal parameters reported by Knowles, Rinaldi, and Smith (7) and are scaled to enclose 50% probability. The diagrams were generated with the aid of computer program ortep by C.K. Johnson...

Figure 1. Sketch of the Rh2H4(P(iso-Pr)3)4 molecule. Hydrogen atoms are omitted. The other atoms are drawn as 50% probability ellipsoids.

Figure 2. Packing diagram of Rh2H4(P(iso-Pr)3)4 with hydride ligands omitted. The 50% probability ellipsoids are shown, except for alkyl hydrogen atoms which are drawn artifically small. The partially occupied positions of the THF molecules are shown.

Figure 9 ORTEP view (50% probability ellipsoids) of a cation in [(salen)VOV(sa-len)][I3].

Figure 11 ORTEP view (30% probability ellipsoids) of cations in asymmetric unit of [(salen)VOVO(salen)] [I3].

Fig. 44. Molecular structure (50% probability ellipsoids) of Baltriki), showing the chelating ketoiminate ligands and the nonbonded terminal ethoxy group of the lariat ether. (Redrawn from Ref. 221.)...

Fig. 5. A drawing of the CoH(PF3)4 molecule, with the H atom omitted. The 50% probability ellipsoids are shown. [Reproduced from reference (US) with permission.]...

FIGURE 8. Molecular structure of Pb(acac)2. Non-hydrogen atoms are shown as 30% probability ellipsoids. Reproduced with permission from Reference 130... 

Figure 3. Stereoview of the molecular unit with 50% probability ellipsoids.

Figure 4. The formula units of XeFAsFe and XeFRuFj (ref 4), the former with 50% probability ellipsoids and the latter with 30%,...

Figure 4. ortep drawing of the molecular unit of XeF2 2(XeF5 -AsF5 ) with use of S0% probability ellipsoids. Two extra F(8) atoms have been included to show the comi ete bonding environment of Xe(2). 

Figure 5. ortep drawing of one molecular unit of XeF2 XeF5 AsF6" with use of 50% probability ellipsoids. 

Fig. 4. The tetragonally distorted octahedral F environment of the Ag(II) in AgFBF4 (90% probability ellipsoids). Interatomic distances correspond to those in Table V.

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