We study the gap-labeling properties of the energy spectrum for one-dimensional Fibonacci quasilattices. We have obtained the occupation probabilities on subbands of the hierarchical energy spectrum and the step heights of the integrated density of states. It is analytically proved that the step height is equal to {mtau}, where the braces denote the fractional part, and m is an integer that can be used to label the corresponding energy gap. Numerical simulation confirms these results.
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