Atomic radius/radii structure

Atomic radius, crystal structure, electronegativity, and the most common valence are given in the following table for several elements for those that are nonmetals, only atomic radii are indicated. 

Self-Test 5.5A The atomic radius of silver is 144 pm and its density is 10.5 g-cm 3. Is the structure close-packed or body-centered cubic ... 

Self-Test 5.5B The atomic radius of iron is 124 pm and its density is 7.87 g-cm-3. Is this density consistent with a close-packed or a body-centered cubic structure ... 

Iron crystallizes in a bcc structure. The atomic radius of iron is 124 pm. Determine (a) the number of atoms per unit cell (b) the coordination number of the lattice (c) the length of the side of the unit cell. 

Calculate the density of each of the following metals from the data given (a) aluminum, fee structure, atomic radius... 

All noble gases except helium crystallize with ccp structures at very low temperatures. Find an equation relating the atomic radius to the density of a ccp solid of given molar mass and apply it to deduce the atomic radius of each of the following noble gases, given the density of each (in g-cm ) Ne, 1.20 Ar, 1.40 Kr, 2.16 Xe, 2.83 Rn, 4.4 (estimated). 

Iron corrodes in the presence of oxygen to form rust, which for simplicity can be taken to be iron(lll) oxide. If a cubic block of iron of side 1.5 cm reacts with 15.5 L of oxygen at 1.00 atm and 25°C, what is the maximum mass of iron(III) oxide that can be produced Iron metal has a bcc structure, and the atomic radius of iron is 124 pm. The reaction takes place at 298 K and 1.00 atm. 

Boron forms perhaps the most extraordinary structures of all the elements. It has a high ionization energy and is a metalloid that forms covalent bonds, like its diagonal neighbor silicon. However, because it has only three electrons in its valence shell and has a small atomic radius, it tends to form compounds that have incomplete octets (Section 2.11) or are electron deficient (Section 3.8). These unusual bonding characteristics lead to the remarkable properties that have made boron an essential element of modern technology and, in particular, nan otechn ol ogy. 

Since every atom extends to an unlimited distance, it is evident that no single characteristic size can be assigned to it. Instead, the apparent atomic radius will depend upon the physical property concerned, and will differ for different properties. In this paper we shall derive a set of ionic radii for use in crystals composed of ions which exert only a small deforming force on each other. The application of these radii in the interpretation of the observed crystal structures will be shown, and an at- Fig. 1.—The eigenfunction J mo, the electron den-tempt made to account for sity p = 100, and the electron distribution function the formation and stability D = for the lowest state of the hydr°sen of the various structures. 

It is seen from Fig. 1 that the discrepancy, though small (< 0.01 A.), is real, and that it depends upon the atomic radius. The discrepancy indicates that the six longer bonds in the A2 structure use more of the bond-forming power of... 

Chapter 6. The outer contour in this map is for a density of 0.001 au, which has been found to represent fairly well the outer surface of a free molecule in the gas phase, giving a value of 190 pm for the radius in the direction opposite the bond and 215 pm in the perpendicular direction. In the solid state molecules are squashed together by intermolecular forces giving smaller van der Waals radii. Figure 5.2b shows a diagram of the packing of the Cl2 molecules in one layer of the solid state structure of chlorine. From the intermolecular distances in the direction opposite the bond direction and perpendicular to this direction we can derive values of 157 pm and 171 pm for the two radii of a chlorine atom in the CI2 molecule in the solid state. These values are much smaller than the values for the free molecule in the gas phase. Clearly the Cl2 molecule is substantially compressed in the solid state. This example show clearly that the van der Waals of an atom radius is not a well defined concept because, as we have stated, atoms in molecules are not spherical and are also compressible. 

The larger atomic radius and larger polarizability of selenium and tellurium together with the lesser electronegativity of these elements results in increased stability of the corresponding dications. Similarities in chemical properties and electronic structure allow for formation of mixed dichalcogen dications as well. 

Figure 5.9 Structure of silicon viewed down [110]. The atoms are drawn smaller than the atomic radius suggests for clarity. Channels parallel to <110> facilitate interstitial diffusion in this material.

Equation (2) contains the value of actual dimensional bond characteristic of the given atom in the structure. In crystals with basic ionic bond, the ion radius can be applied as such dimensional bond characteristic (with a certain approximation), i.e. the stabilization condition for such structures is as follows ... 

Chemically they are extremely inert, being much more un-reactive even than the fluoroacetates. The inertness of the fluorocarbons and their nearly perfect physical properties arise from the strength of the F—C linkage and from their compact structure. The effective atomic radius of covalently bound fluorine is 0-64 A., which although greater than hydrogen (0-30) is smaller than other elements, e.g. Cl 0-99 A., Br 1-14 A. 

---