?P.G. Radaelli et al. (Science 265, 380 (1994)) reported the synthesis and structure of
Chapter 15, Problem P15E.6(choose chapter or problem)
P.G. Radaelli et al. (Science 265, 380 (1994)) reported the synthesis and structure of a material that becomes superconducting at temperatures below 45 K. The compound is based on a layered compound \(\mathrm{Hg}_{2} \mathrm{Ba}_{2} \mathrm{YCu}_{2} \mathrm{O}_{8-\delta}\), which has a tetragonal unit cell with a=0.38606 nm and c=2.8915 nm; each unit cell contains two formula units. The compound is made superconducting by partially replacing Y by Ca, accompanied by a change in unit cell volume by less than 1 per cent. Estimate the Ca content x in superconducting \(\mathrm{Hg}_{2} \mathrm{Ba}_{2} \mathrm{Y}_{1-x} \mathrm{Ca}_{x} \mathrm{Cu}_{2} \mathrm{O}_{7.55}\) given that the mass density of the compound is \(7.651 \mathrm{~g} \mathrm{~cm}^{-3}\).
Text Transcription:
Hg_2 Ba_2 YCu_2 O_8-delta
Hg_2 Ba_2 Y_1-x Ca_x Cu_2 O_7.55
7.651 g cm^-3
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