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Simple formula could guide the design of faster-charging, longer-lasting batteries

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Simple formula could guide the design of faster-charging, longer-lasting batteries


Lithium intercalation is the process by which lithium ions insert themselves into the solid electrode of a lithium-ion battery. MIT researchers have shown that as lithium ions (green) move from an electrolyte solution (right) to a cobalt oxide electrode (left), electrons also move into the electrode and reduce the cobalt (gray atoms with gold halo). Credit: MIT

At the heart of all lithium-ion batteries is a simple reaction: Lithium ions dissolved in an electrolyte solution “intercalate” or insert themselves into a solid electrode during battery discharge. When they de-intercalate and return to the electrolyte, the battery charges.

This process happens thousands of times throughout the life of a battery. The amount of power that the battery can generate, and how quickly it can charge, depend on how fast this reaction happens. However, little is known about the exact mechanism of this reaction, or the factors that control its rate.

In a study appearing in Science, MIT researchers have measured lithium intercalation rates in a variety of different battery materials and used that data to develop a new model of how the reaction is controlled. Their model suggests that lithium intercalation is governed by a process known as coupled ion-electron transfer, in which an electron is transferred to the electrode along with a lithium ion.

Insights gleaned from this model could guide the design of more powerful and faster charging , the researchers say.

“What we hope is enabled by this work is to get the reactions to be faster and more controlled, which can speed up charging and discharging,” says Martin Bazant, the Chevron Professor of Chemical Engineering and a professor of mathematics at MIT.

The new model may also help scientists understand why tweaking electrodes and electrolytes in certain ways leads to increased energy, power, and battery life—a process that has mainly been done by trial and error.

“This is one of these papers where now we began to unify the observations of reaction rates that we see with different materials and interfaces, in one theory of coupled electron and ion transfer for intercalation, building up previous work on reaction rates,” says Yang Shao-Horn, the J.R. East Professor of Engineering at MIT and a professor of mechanical engineering, and engineering, and chemistry.

Shao-Horn and Bazant are the senior authors of the paper. The paper’s lead authors are Yirui Zhang Ph.D., who is now an assistant professor at Rice University; Dimitrios Fraggedakis Ph.D., who is now an assistant professor at Princeton University; Tao Gao, a former MIT postdoc who is now an assistant professor at the University of Utah; and MIT graduate student Shakul Pathak.

Modeling lithium flow

For many decades, scientists have hypothesized that the rate of lithium intercalation at a lithium-ion battery electrode is determined by how quickly lithium ions can diffuse from the electrolyte into the electrode. This reaction, they believed, was governed by a model known as the Butler-Volmer equation, originally developed almost a century ago to describe the rate of charge transfer during an electrochemical reaction.

However, when researchers have tried to measure lithium intercalation rates, the measurements they obtained were not always consistent with the rates predicted by the Butler-Volmer equation.

Furthermore, obtaining consistent measurements across labs has been difficult, with different research teams reporting measurements for the same reaction that varied by a factor of up to 1 billion.

In the new study, the MIT team measured lithium intercalation rates using an electrochemical technique that involves applying repeated, short bursts of voltage to an electrode.

They generated these measurements for more than 50 combinations of electrolytes and electrodes, including lithium nickel manganese cobalt oxide, which is commonly used in electric vehicle batteries, and lithium cobalt oxide, which is found in the batteries that power most cell phones, laptops, and other portable electronics.

For these materials, the measured rates are much lower than has previously been reported, and they do not correspond to what would be predicted by the traditional Butler-Volmer model.

The researchers used the data to come up with an alternative theory of how lithium intercalation occurs at the surface of an electrode. This theory is based on the assumption that in order for a to enter an electrode, an electron from the must be transferred to the electrode at the same time.

“The electrochemical step is not lithium insertion, which you might think is the main thing, but it’s actually electron transfer to reduce the solid material that is hosting the lithium,” Bazant says. “Lithium is intercalated at the same time that the electron is transferred, and they facilitate one another.”

This coupled-electron ion transfer (CIET) lowers the that must be overcome for the intercalation reaction to occur, making it more likely to happen. The mathematical framework of CIET allowed the researchers to make reaction rate predictions, which were validated by their experiments and substantially different from those made by the Butler-Volmer model.

Faster charging

In this study, the researchers also showed that they could tune intercalation rates by changing the composition of the electrolyte. For example, swapping in different anions can lower the amount of energy needed to transfer the lithium and electron, making the process more efficient.

“Tuning the intercalation kinetics by changing electrolytes offers great opportunities to enhance the reaction rates, alter electrode designs, and therefore enhance the battery power and energy,” Shao-Horn says.

Shao-Horn’s lab and their collaborators have been using automated experiments to make and test thousands of different electrolytes, which are used to develop machine-learning models to predict electrolytes with enhanced functions.

The findings could also help researchers to design batteries that would charge faster, by speeding up the lithium intercalation reaction. Another goal is reducing the side reactions that can cause battery degradation when electrons are picked off the and dissolve into the .

“If you want to do that rationally, not just by trial and error, you need some kind of theoretical framework to know what are the important material parameters that you can play with,” Bazant says. “That’s what this paper tries to provide.”

More information:
Yirui Zhang et al, Lithium-ion intercalation by coupled ion-electron transfer, Science (2025). DOI: 10.1126/science.adq2541. www.science.org/doi/10.1126/science.adq2541

This story is republished courtesy of MIT News (web.mit.edu/newsoffice/), a popular site that covers news about MIT research, innovation and teaching.

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The 5 Big ‘Known Unknowns’ of Donald Trump’s New War With Iran

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The 5 Big ‘Known Unknowns’ of Donald Trump’s New War With Iran


More recently, Iran has been a regular adversary in cyberspace—and while it hasn’t demonstrated quite the acuity of Russia or China, Iran is “good at finding ways to maximize the impact of their capabilities,” says Jeff Greene, the former executive assistant director of cybersecurity at CISA. Iran, in particular, famously was responsible for a series of distributed-denial-of-service attacks on Wall Street institutions that worried financial markets, and its 2012 attack on Saudi Aramco and Qatar’s Rasgas marked some of the earliest destructive infrastructure cyberattacks.

Today, surely, Iran is weighing which of these tools, networks, and operatives it might press into a response—and where, exactly, that response might come. Given its history of terror campaigns and cyberattacks, there’s no reason to think that Iran’s retaliatory options are limited to missiles alone—or even to the Middle East at all.

Which leads to the biggest known unknown of all:

5. How does this end? There’s an apocryphal story about a 1970s conversation between Henry Kissinger and a Chinese leader—it’s told variously as either Mao-Tse Tung or Zhou Enlai. Asked about the legacy of the French revolution, the Chinese leader quipped, “Too soon to tell.” The story almost surely didn’t happen, but it’s useful in speaking to a larger truth particularly in societies as old as the 2,500-year-old Persian empire: History has a long tail.

As much as Trump (and the world) might hope that democracy breaks out in Iran this spring, the CIA’s official assessment in February was that if Khamenei was killed, he would be likely replaced with hardline figures from the Islamic Revolutionary Guard Corps. And indeed, the fact that Iran’s retaliatory strikes against other targets in the Middle East continued throughout Saturday, even after the death of many senior regime officials—including, purportedly, the defense minister—belied the hope that the government was close to collapse.

The post-World War II history of Iran has surely hinged on three moments and its intersections with American foreign policy—the 1953 CIA coup, the 1979 revolution that removed the shah, and now the 2026 US attacks that have killed its supreme leader. In his recent bestselling book King of Kings, on the fall of the shah, longtime foreign correspondent Scott Anderson writes of 1979, “If one were to make a list of that small handful of revolutions that spurred change on a truly global scale in the modern era, that caused a paradigm shift in the way the world works, to the American, French, and Russian Revolutions might be added the Iranian.”

It is hard not to think today that we are living through a moment equally important in ways that we cannot yet fathom or imagine—and that we should be especially wary of any premature celebration or declarations of success given just how far-reaching Iran’s past turmoils have been.

Defense Secretary Pete Hegseth has repeatedly bragged about how he sees the military and Trump administration’s foreign policy as sending a message to America’s adversaries: “F-A-F-O,” playing off the vulgar colloquialism. Now, though, it’s the US doing the “F-A” portion in the skies over Iran—and the long arc of Iran’s history tells us that we’re a long, long way from the “F-O” part where we understand the consequences.


Let us know what you think about this article. Submit a letter to the editor at mail@wired.com.



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This Backyard Smoker Delivers Results Even a Pitmaster Would Approve Of

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This Backyard Smoker Delivers Results Even a Pitmaster Would Approve Of


While my love of smoked meats is well-documented, my own journey into actually tending the fire started just last spring when I jumped at the opportunity to review the Traeger Woodridge Pro. When Recteq came calling with a similar offer to check out the Flagship 1600, I figured it would be a good way to stay warm all winter.

While the two smokers have a lot in common, the Recteq definitely feels like an upgrade from the Traeger I’ve been using. Not only does it have nearly twice the cooking space, but the huge pellet hopper, rounded barrel, and proper smokestack help me feel like a real pitmaster.

The trade-off is losing some of the usability features that make the Woodridge Pro a great first smoker. The setup isn’t as quite as simple, and the larger footprint and less ergonomic conditions require a little more experience or patience. With both options, excellent smoked meat is just a few button presses away, but speaking as someone with both in their backyard, I’ve been firing up the Recteq more often.

Getting Settled

Photograph: Brad Bourque

Setting up the Recteq wasn’t as time-consuming as the Woodridge, but it was more difficult to manage on my own. Some of the steps, like attaching the bull horns to the lid, or flipping the barrel onto its stand, would really benefit from a patient friend or loved one. Like most smokers, you’ll need to run a burn-in cycle at 400 degrees Fahrenheit to make sure there’s nothing left over from manufacturing or shipping. Given the amount of setup time and need to cool down the smoker after, I would recommend setting this up Friday afternoon if you want to smoke on a Saturday.



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Make the Most of Chrome’s Toolbar by Customizing It to Your Liking

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Make the Most of Chrome’s Toolbar by Customizing It to Your Liking


The main job of Google Chrome is to give you a window to the web. With so much engaging content out there on the internet, you may not have given much thought to the browser framework that serves as the container for the sites you visit.

You’d be forgiven for still using the default toolbar configuration that was in place when you first installed Chrome. But if you take a few minutes to customize it, it can make a significant difference to your browsing. You can get quicker access to the key features you need, and you may even discover features you didn’t know about.

If you’re reading this in Chrome on the desktop, you can experiment with a few customizations right now—all it takes is a few clicks. Here’s how the toolbar in Chrome is put together, and all the different changes you can make.

The Default Layout

Extensions are always easily accessible in Chrome.

Photograph: David Nield

Take a look up at the top right corner of your Chrome browser tab and you’ll see two key buttons: One reveals your browser extensions (the jigsaw piece), and the other opens up your bookmarks (the double-star icon). There should also be a button showing a downward arrow, which gives you access to recently downloaded files.

Right away, you can start customizing. If you click the jigsaw piece icon to show your browser extensions, you can also click the pin button next to any one of these extensions to make it permanently visible on the toolbar. While you don’t want your toolbar to become too cluttered, it means you can put your most-used add-ons within easy reach.

For the extension icons you choose to have on the toolbar, you can choose the way they’re arranged, too: Click and drag on any of the icons to change its position (though the extensions panel itself has to stay in the same place). To remove an extension icon (without uninstalling the extension), right-click on it and choose Unpin.

Making Changes

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The revamped toolbar customization pane.

Photograph: David Nield

Click the three dots up in the top right corner of any browser window and then Settings > Appearance > Customize your toolbar to get to the main toolbar customization panel, which has recently been revamped. Straight away you’ll see toggle switches that let you show or hide certain buttons on the toolbar.



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