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Metallic radii rm are correlated with the ionic radii ri by linear relationships. For groups 1 up to 7 as well as for Al, Ga, In, Tl, Sn, and Pb the ionic radii refer to the maximum valences (oxidation states) as known from compounds according to rm ~ 1.16 x (ri + 0.64) [A° ]. For groups 8 up to 12, rm ~ 0.48 x (ri + 2.26) [°A] with valences W = 14 - G (G = group number). These valences are considered regular (Wr). For groups 1 up to 12, they obey the equation Wr = 7 - |G - 7|. According to this equation all outer s electrons and the unpaired d electrons should be involved in chemical bonding, i.e. in the cohesion of the element in the solid state. From the melting temperatures and the atomic volumes it is concluded, however, that only 19 out of the 30 d-block elements have regular valences, namely the elements of groups 3, 5, 6, 10, 11 as well as Os, Ir, Zn, Cd, and possibly Ru. All of the non-regular valences are lower than the regular ones. Four of them are integers: Mn 3; Fe, Co 4; Re 6.
The Na+-F1F0-ATPase operon ofAcetobacterium woodii was recently shown to contain, among eleven atp genes, those genes that encode subunita and b, a gene encoding a 16-kDa proteolipid (subunit c 1), and two genes encoding 8-kDa proteolipids (subunits c 2 andc 3). Because subunits a,b, and c 1 were not found in previous enzyme preparations, we re-determined the subunit composition of the enzyme. The genes were overproduced, and specific antibodies were raised. Western blots revealed that subunits a,b, and c 1 are produced and localized in the cytoplasmic membrane. Membrane protein complexes were solubilized by dodecylmaltoside and separated by blue native-polyacrylamide gel electrophoresis, and the ATPase subunits were resolved by SDS-polyacrylamide gel electrophoresis. N-terminal sequence analyses revealed the presence of subunitsa, c 2, c 3,b, δ, α, γ, β, and ε. Biochemical and immunological analyses revealed that subunitsc 1, c 2, andc 3 are all part of the c-oligomer, the first of a F1F0-ATPase that contains 8- and 16-kDa proteolipids.
In the body-centered cubic structure and in closest sphere-packings the atoms are arranged to give structures with equal densities. A measure of the packing density of atoms is derived. Several crystal structures of elements, including the bcc structure and the closest sphere packings, represent a state of maximum density in which the atomic volume is characteristic of each element. From any crystal structure of an element its atomic volume in this state can be calculated to a good approximation.
Relationships between bond lengths and bond numbers and also between atomic volumes and valencies are derived and parameters for their calculation are given for the s-block, p-block, and d-block metals. From the atomic volumes under pressure, the valencies of three solid lanthanoids have been confirmed or redetermined: La 3; Ce 2. 3. and 4; Yb 2 and 3.