2007
DOI: 10.1143/jpsj.76.034603
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Crystallographic Analysis of Structural Changes in Cubic Crystals

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Cited by 15 publications
(24 citation statements)
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“…We used a crystallographic analysis technique that we call PM (pixel mapping) [19,21]. Based on the crystallographic database for many inorganic crystals [22], PM describes the crystal structure of 24 prototype cubic crystals belonging to the space groups #195#230.…”
Section: Identification Of Phasementioning
confidence: 99%
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“…We used a crystallographic analysis technique that we call PM (pixel mapping) [19,21]. Based on the crystallographic database for many inorganic crystals [22], PM describes the crystal structure of 24 prototype cubic crystals belonging to the space groups #195#230.…”
Section: Identification Of Phasementioning
confidence: 99%
“…Based on the crystallographic database for many inorganic crystals [22], PM describes the crystal structure of 24 prototype cubic crystals belonging to the space groups #195#230. A type IIa diamond belongs to a zincblende-type crystals as well as cases (Si, Ge, C, and many III-V compounds), where a common algebraic rule is used for those crystals in the same prototype group [19,21]. In the PM method, the entire space of a cubic crystal is segmented into small pixels with an address given by a set of integers (l, m, n), which has many advantages to identify various types of crystalline defects [19], if compared to ordinary description using real coordinates (x, y, z).…”
Section: Identification Of Phasementioning
confidence: 99%
“…The issues are not only the nature of defect structures, their shape and their concentration, but also how they appear and disappear. In this paper we show how pixel mapping (PM) [1][2][3] has solved difficult issues of identification of defects in atomic coordinate files from numerical calculations of crystals.…”
Section: Introductionmentioning
confidence: 99%
“…For example, fluorite (CaF 2 ) belongs to the system n j = 4. The address of the pixels containing Ca atoms satisfies the condition mod (l + m + n, 4) = 0 for all three even integers (l, m, n), while that for the other F atoms satisfies another condition, mod (l + m + n, 4) = 1 or 3, for all three odd integers (l, m, n) [2]. For all 24 prototype crystals, we tabulated those algebraic rules in the PM Table as fingerprints of the occupied pixels.…”
mentioning
confidence: 99%
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