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Equation 1 · Part 3 · The Valley of Stability Is a Fitness Landscape

=

δR=1×10−11\delta R = 1\times10^{-11}
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

A Penning trap does one thing: it holds a single charged particle in a magnetic field strong enough, and a vacuum clean enough, that the particle’s cyclotron orbit can be timed with almost no interference from anything else in the universe. The orbit frequency depends on the particle’s mass. Because that frequency can be compared against a reference ion’s frequency to fractional precision near one part in ten billion, the technique converts an orbital period into a mass measurement of extraordinary accuracy. A 2020 result from the PENTATRAP collaboration, comparing cyclotron frequencies of a highly charged rhenium ion in two internal states, reports a fractional precision of one part in one…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.