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Equation 19 · Part 1 · A Strained Crystal Is a Designer Spacetime

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107 cm2/V⋅s10^7\,\text{cm}^2/\text{V·s}
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What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

Measured against real crystals, that bar splits the shortlist cleanly in two, and neither half clears it whole. The near-critical type-II hosts that actually carry the tilt — tungsten ditelluride, molybdenum ditelluride, and the strain-tunable tungsten-doped compound — sit at measured mobilities in the low thousands to low tens of thousands of square centimetres per volt-second, with tungsten ditelluride’s magnetotransport mobility around 5×\times10^3\,cm2\text{cm}^2/V⋅s\text{V·s} [ 12 ] , roughly two orders of magnitude below what the design point needs. The crystals that clear the mobility bar with room to spare sit on the other side of the same divide: the Dirac semimetal cadmium arsenide…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

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