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Chapter 8: Crystal Structures of High-To Superconducting Cuprates
internal layers have monocapped square antiprismatic coordination (8ap 1 c, 4212,
(Ti,Gd, Ca)4Baz(Gd, Ca)Cu2012). In (Ti,Sm, Ca)sBaz(Ca, Sm)Cu2014 (5212), where
the number of additional layers is five, AO 2 layers alternating with AO layers, the
cations from the AO layers are 12-fold coordinated (cuboctahedron, 12co),
yielding a local perovskite-like atom arrangement.
b. Interatomic Distances
Displacements of the atoms from their ideal positions distort the coordination
polyhedra, and the interatomic distances from the cations to the surrounding
oxygen atoms exhibit a wide range of values.
The atoms in the conducting DO 2 layers are tightly bonded, and the in-
plane Cu-O distances vary little from one superconducting cuprate to another.
Usual distances range from 1.92 to 1.94 A, the shortest distance (1.89 A) being
reported for 0201 (La, Sr)2CuO4) and the longest one (1.98A) for 1201
(C(Ba, Sr)2CuOs.05) and 0011 ((Sr, La)CuO2). This relatively rigid atom layer
determines the values of the cell parameters a and b, a slight puckering being
possible. When there are two or more DO 2 layers, the copper atoms from the
outside DO 2 layers are slightly moved from the center of the square base toward
the center of the pyramid. The distances from the copper atoms to the oxygen
atoms located in the BO layers, that is, the apical atoms of the square pyramid or
octahedron, are considerably longer (2.10-2.82 A), in agreement with the Jahn-
Teller effect. The large variations observed for this Cu-O distance depend on the
size of the B atom and the chemical nature of the A cations. For structures with
bridging SrO layers, the distances from the copper atoms to the apical oxygen
atoms are in general shorter than for structures containing BaO layers. When
additional layers are present, the same apical oxygen atoms are usually tightly
bonded to the A cations, situated on the other side of the BO layer. For example,
in structures of Hg-based compounds, because of the bonding between the
oxygen atoms from the BO layers and the mercury atoms (and because of the
presence of barium atoms in the BO layers), the apical Cu-O distances are very
long (2.70-2.82 A).
For structures with only one separating C layer between two consecutive
DO 2 layers, the tetragonal prisms around the C atoms are almost regular. The
C-O interatomic distances range from 2.39 to 2.61 A. In general, yttrium atoms
have shorter C-O distances than calcium atoms. For structures with two or more
C layers between consecutive DO 2 layers, the distances from the C atom to the
oxygen atoms in the O2 layers are slightly shorter (2.26-2.39 A).
For distorted perovskite-type structures (one BO layer) the interatomic
distances from the B atoms to the vertices of the surrounding cuboctahedra range
from 2.50 to 3.01 A. For structures with two bridging BO layers, where only half
of the cuboctahedron (square antiprism) remains, there are four distances of
similar length to the oxygen atoms in the DO 2 layer (2.58-2.97 A, depending on