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Crystallographic input data for (001), (110) and (111)-oriented superlattices. Corrigendum
aDépartement de Physique-Chimie, Ecole Normale Supérieure de l'Enseignement Technologique, BP 1523 EL M'Naouer, Oran 31000, Algeria, bLaboratoire de Caractérisation et Simulation des Composants et Circuits électroniques (CaSiCCe), ENSET-Oran, BP 1523 EL M'Naouer, Oran 31000, Algeria, cLaboratoire de Microphysique et de Nanophysique (LaMiN), ENSET-Oran, BP 1523 EL M'Naouer, Oran 31000, Algeria, and dPhysia-Laboratory, BP 47 (RP), Sidi Bel Abbès 22000, Algeria
*Correspondence e-mail: nsekkal@yahoo.fr
Equations (13)–(18) in the paper by Touaa & Sekkal [(2012![[Touaa, Z. & Sekkal, N. (2012). Acta Cryst. B68, 378-388.]](../../../../../../logos/arrows/b_arr.gif "Touaa, Z. & Sekkal, N. (2012). Acta Cryst. B68, 378-388.")
), Acta Cryst. B68, 378–388] are corrected.
Keywords: growth axes; symmetry; superlattice; quantum well; electronic structure.
In the text (§2) there was a factor of ½ missing from all the last terms in each of equations (13)–(18). The corrected equations are given below.
![[{\bf M} \equiv {\bf L}_1 \equiv {\bi B} = {2\pi \over {a_{(111){\rm SL}}}}\left({\sqrt 2} {\bi i}\kern1pt^0 - {{\sqrt 2 } \over 2}{\bi k}^0 \right)\eqno(13)]](teximages/gp9054fd1.gif)
![[{\bf M} \equiv {\bf L}_2 \equiv {\bi A} = {2\pi \over {a_{(111){\rm SL}}}}\left({ - \sqrt 2} {\bi i}\kern1pt^0 - {{\sqrt 2 } \over 2}{\bi k}^0 \right)\eqno(14)]](teximages/gp9054fd2.gif)
![[{\bf L} \equiv {\bf L}_3 \equiv {\bi C} = {2\pi \over {a_{(111){\rm SL}}}}\left(-{ {\sqrt 2 } \over 2{L^2}}\kern1pt{\bi j}\kern1pt^0 + {{\sqrt 2 } \over {4L}}{\bi k}^0 \right)\eqno(15)]](teximages/gp9054fd3.gif)
![[\eqalignno{{\bf X} &\equiv {\bf X}_1 \equiv {\bi B} + {\bi C}\cr & = {2\pi \over {a_{(111){\rm SL}}}}\left\{ {\sqrt 2} {\bi i}\kern1pt^0 - {{\sqrt 2 } \over 2{L^2}}\kern1pt{\bi j}\kern1pt^0 + {1 \over 2}\left( - {\sqrt 2} + {{\sqrt 2 } \over 2L} \kern1.5pt\right){\bi k}^0 \right\}\cr & & (16)}]](teximages/gp9054fd4.gif)
![[\eqalignno{{\bf X} \equiv &\, {\bf X}_2 \equiv {\bi A} + {\bi C}\cr =\, & {2\pi \over {a_{(111){\rm SL}}}}\bigg\{ { - \sqrt 2} {\bi i}\kern1pt^0 - {{\sqrt 2 } \over 2{L^2}}\kern1pt{\bi j}\kern1pt^0 + {1 \over 2}\bigg( - {\sqrt 2} + {{\sqrt 2 } \over 2L} \bigg){\bi k}^0 \bigg\}\cr & &(17)}]](teximages/gp9054fd5.gif)
![[{\bf Z} \equiv {\bf X}_3 \equiv {\bi A} + {\bi B} = {2\pi \over {a_{(111){\rm SL}}}}\left({ - \sqrt 2 {\bi k}^0} \right) \eqno(18)]](teximages/gp9054fd6.gif)
This typesetting mistake occurred only in the text. The correct equations (including the factor of ½) were used in the calculations in §3 of the paper, so the results and the conclusions were not affected by this omission.
References
Touaa, Z. & Sekkal, N. (2012). Acta Cryst. B68, 378–388. Web of Science CrossRef CAS IUCr Journals Google Scholar
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