a plane parallel to one of the coordinates axes has an intercept of infinity
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If a plane is parallel to one of the axes, then it is considered to intersect it at infinity, so the corresponding index is 1/∞, or zero. Also, if a plane has a negative intercept, this is denoted in the index with a bar: i.e., a plane with intercepts of -1, ∞, 1/2 would have a Miller index of 1 ¯ 02 .
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✔✔A plane which is parallel to any one of the co-ordinate axes has an intercept of infinity (∞) and therefore, the Miller index for that axis is zero.
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