A Very Round Object Helps Build a Better Mass Measurement

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The International Bureau of Weights and Measures (BIPM) currently distributes a consensus value that countries use to define the kilogram. Once we get to the point that various approaches to the definition don’t result in a significant lack of agreement in everyone’s results, BIPM will no longer have to distribute this value of the kilogram.

Rodiek brought along one of the roundest objects on Earth—a perfectly manufactured silicon sphere.

“I’m really excited to come back. I’m planning another trip when we’ll have a bit more time to do these measurements,” Rodiek says.

Why more research on the kilogram is needed

In 2018, the world agreed to redefine the kilogram. Instead of being pegged to the mass of a physical object in a vault in France, the kilogram is now defined by a few fundamental constants in nature.

The transition from using a physical object as the kilogram definition to a natural constant has meant differing approaches to defining (or “realizing,” as researchers call it) the kilogram for different countries.

Like any unit of measurement, the kilogram needs to be the same for everyone, all the time. But different countries have their own ways of defining the kilogram. NIST researchers and their German counterparts are working on experiments to see how they can bridge the very tiny gap between the two countries’ measurement approaches.

So, a 50-microgram difference in measuring a kilogram is a bit like weighing a pineapple on two scales, and your measurements only being off from each other by about a grain of salt. You’d think that’s close enough. But Haddad and Rodiek are trying to close that tiny gap.

Haddad tried to run the Kibble balance experiment, but there were challenges along the way. The main issue was that the Kibble balance had not previously measured a spherical object and had to be adjusted to take that measurement.

Rodiek recently traveled to NIST’s campus in Gaithersburg, Maryland, to run a series of measurements and tests to see how the two countries’ approaches may be able to get closer to the same results.

And as a scientist, that’s exciting. Researchers need to understand why this gap in the measurements is occurring. And who knows what we might learn from that.

But in reality, it’s not quite that simple—yet.

Rodiek and the sphere have since returned to Germany. The sphere travels with Rodiek in its own protective case as carry-on—never in checked luggage. The cargo is too precious to jostle.

This means researchers no longer have to worry about a physical object that can decay or change over time, potentially throwing the world’s measurements into chaos.

“Sometimes it’s a little scary traveling with it in the airplane. You never know if we’re going to hit some turbulence, and it’s just sitting there. Luckily, it’s pretty robust, and we can always clean it,” Rodiek says.

“If you have two completely different approaches measuring the same object, and you get the same results, you can trust them,” Haddad says. “Once we get to that point, everyone can directly measure the unit of mass with the primary definition. These are small gaps we’re talking about here.”

A sphere of measurement influence

Countries have their own approaches to the definition, and there’s a slight variation in their measurements. Ideally, everyone would get the same result within a reasonable range, no matter what method they actually use to take the measurement.

Each approach gets to a slightly different definition of the kilogram. The variations in their results are tiny—about 50 micrograms, which is the approximate mass of a grain of salt.

Right now, the U.S. has an exquisitely accurate weighing system, known as a Kibble balance, that uses quantum mechanics to precisely measure mass to get the official definition of the kilogram. Germany, on the other hand, uses a method that means, in simple terms, “counting atoms,” as Rodiek explains. It’s called the XRCD method.

German researcher Beatrice Rodiek prepares “the sphere”—one of the roundest objects on Earth—to be measured on a highly accurate weighing machine, known as the Kibble balance, at NIST’s campus in Gaithersburg, Maryland. Credit: B. Hayes/NIST

Like any unit of measurement, the kilogram needs to be the same for everyone, all the time. Theoretically, it can now be measured in any lab in the world using the Planck constant, which defines how small things can be. That measurement can be shared with anyone who needs to find out the mass of an object.

This perfectly measured silicon sphere is one of the roundest objects on Earth—and it’s helping researchers figure out how to best calculate the value of the kilogram. Credit: B. Hayes/NIST

Haddad and Rodiek are planning another series of experiments and, hopefully, will be able to make all needed measurements without the technical difficulties.

In addition to living up to the spirit of the redefinition of the kilogram—that anyone in any lab should be able to define the kilogram as accurately as possible—Haddad said we have no idea what we might learn from these experiments.

Each time the researchers had to tweak the Kibble balance, the sphere had to be cleaned and gently put back in place. It was a tedious process that took up most of Rodiek’s weeklong visit to NIST.

“For researchers, science is very interesting for us, and we just want to understand why. Is there a scientific reason?” Haddad says. “The knowledge we get from these experiments, discovering why the errors happen, can help us improve measurement science going forward.”

So NIST researcher Darine Haddad, along with Beatrice Rodiek from Germany’s national measurement science institute, known as the PTB, and their colleagues are working together to figure out why the approaches are leading to different outcomes.

You might be wondering why all this effort is required to measure something accurately to within a grain of salt. I wondered that, too. I asked Haddad why this is even necessary.

First, Rodiek had to follow a special procedure to clean the sphere so the researchers could prevent dust and other minute deposits on the mass of the sphere that would affect the measurements. Then she very carefully walked it to the Kibble balance and placed it on a robot arm.