In the oxygen sensor, ¼ of the Zr's have been replaced with Ca. (This is called "doping".) What is the usual charge on Ca (assuming a full valence shell)? Calculate the total positive charge from atoms fully in the unit cell. (¾ of Zr atoms in unit cell x charge on Zr + charge on Ca = To balance the unit cell, you must have on atoms in the unit cell. What has to happen to the number of oxygen ions to accommodate the replacement of Zr by Ca? In other words, how many oxide ions will be in the 'doped' cell?

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter21: The Solid State: Crystals
Section: Chapter Questions
Problem 21.36E: The first two signals from a powdered sample has X rays (=1.47742A) diffracted at angles of 13.48...
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In the oxygen sensor, ¼ of the Zr's have been replaced with Ca. (This is called
"doping".)
What is the usual charge on Ca (assuming a full valence shell)?
Calculate the total positive charge from atoms fully in the unit cell.
(¾ of Zr atoms in unit cell
x charge on Zr + charge on Ca =
To balance the unit cell, you must have
on atoms in the unit cell.
What has to happen to the number of oxygen ions to accommodate the
replacement of Zr by Ca? In other words, how many oxide ions will be in the
'doped' cell?
Transcribed Image Text:In the oxygen sensor, ¼ of the Zr's have been replaced with Ca. (This is called "doping".) What is the usual charge on Ca (assuming a full valence shell)? Calculate the total positive charge from atoms fully in the unit cell. (¾ of Zr atoms in unit cell x charge on Zr + charge on Ca = To balance the unit cell, you must have on atoms in the unit cell. What has to happen to the number of oxygen ions to accommodate the replacement of Zr by Ca? In other words, how many oxide ions will be in the 'doped' cell?
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