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New clock revolves around an atom's mass
Study claims that time can be gauged by a particle's heft
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Study claims that time can be gauged by a particle's heft

By Andrew Grant

Web edition: January 10, 2013
Print edition: February 9, 2013; Vol.183 #3 (p. 10)

It’s part clock, part scale: A newly developed atomic clock measures time based on the mass of a single atom. The research, published online January 10 in Science, is controversial but could provide scientists with more precise methods of measuring both time and mass.

“This is the first clock based on a single particle,” says Holger Müller, a physicist at the University of California, Berkeley. “Its ticking rate is determined only by the particle’s mass.”

The idea for the clock stemmed from the quantum principle that particles also behave as waves, and vice versa. In particular, Müller and his colleagues wanted to determine how frequently the wave form of a single atom oscillates, a quantity that in quantum mechanics is inherently linked to the atom’s mass. Then the researchers could use those oscillations like swings of a pendulum to create a clock.

The snag in Müller’s plan was that it’s impossible to directly measure the oscillation frequency of waves of matter. The frequency of these waves is about 1025 hertz, 10 orders of magnitude higher than that of visible light waves. So Müller and his colleagues came up with an apparatus that creates two sets of waves — one based on a cesium atom at rest and another on the atom in motion. The researchers measured the frequency difference between the waves and then used that number, a manageable 100,000 hertz or so, to calculate the much larger oscillation frequency of cesium at rest.

With this approach, Müller was able to use the wave frequency of the cesium atom to create a clock that would gain or lose a second after eight years. That’s better than a wristwatch but about a hundred millionth as precise as today’s best atomic clocks, which count the frequency of light emissions from an atom as its electrons release small bursts of energy.

Physicists not involved with Müller’s research are impressed with his clever technique but are skeptical about its potential for precise timekeeping. “I think the paper is slightly oversold,” says Vladan Vuletić, a quantum physicist at MIT.

Other researchers have a more conceptual objection: Because there is nothing at this frequency actually oscillating within the atom, they say it is not a clock at all. “It may be a clock numerically, but it’s not a physical clock,” says Christian Bordé, a physicist at the Paris Observatory. Müller counters that the clock’s simplicity is its greatest trait: He is measuring an intrinsic quantum property of an atom, one that depends only on the atom’s mass.

In fact, this relationship between frequency and mass means Müller’s technique may prove most useful as a scale for measuring mass. Scientists define the kilogram, the base unit of mass, with a lump of metal stored in a French vault — a lump that is likely gaining heft from contamination (SN: 11/20/10, p. 12). The international General Conference on Weights and Measures, led by Bordé, wants to replace this artifact with a kilogram standard based on fundamental physical constants.

Müller says he can do just that by measuring the frequency of matter waves to accurately determine an atom’s mass. Once he finds the mass of one atom, he says, it is straightforward to relate it to the masses of other atoms. He will have a lot of convincing to do, but Müller plans to let the scientific process play out to test his ideas. “This is a concept that physicists never thought about,” he says. “This frequency wasn’t measurable until now.”

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S.-Y. Lan et al. A Clock Directly Linking Time to a Particle’s Mass. Science. Published online January 10, 2013. DOI: 10.1126/science.1230767. Abstract available: [Go to]


C. Petit. The Ultimate Clock. Science News. Vol. 180, October 22, 2011, p. 22. Available online: [Go to]

M. Cevallos. Holy moley. Science News. Vol. 178, November 20, 2010, p. 12. Available online: [Go to] 

A. Witze. 2012 physics Nobel recognizes experiments probing quantum world. Science News. Vol. 182, November 3, 2012, p. 13. Available online: [Go to]

Comments (14)

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  • So, I find the frequency given in the article... implausible. 1025 Hz is down in the audio-frequency range, not well above optical frequencies as stated. Did somebody perhaps drop a prefix from the units? And what's the correct value?
    John Maxwell John Maxwell
    Jan. 11, 2013 at 2:26pm
  • Oh, and while I'm at it, the unit "Hertz" should be capitalized, as is the convention for unit names taken from proper names.
    John Maxwell John Maxwell
    Jan. 11, 2013 at 2:26pm
  • I believe that it is 1.0e25 Hz, as indicated by the slightly differing fonts for "10" and "25" and the small space between them (on my browser, anyway).
    David Holmgren David Holmgren
    Jan. 14, 2013 at 2:48pm
  • In fact, for the cesium atom, mc^2/h is about 3e25 Hz.
    David Holmgren David Holmgren
    Jan. 14, 2013 at 2:48pm
  • The frequency is 10E25 or 10^25 hertz or Hz.
    Reading it correctly may depend upon the specific html code and/or browser being used.
    The SI 'convention' for units derived from names id to capitalize the abbreviation but not full name/unit. i.e. J or joule.
    chuck britton chuck britton
    Jan. 14, 2013 at 2:48pm
  • THe difference in font size for "10" and "25" make me believe the frequency is 1e25 Hz, or 10 yottahertz. In fact, for the cesium atom, mc^2 / h is about 30YHz.
    David Holmgren David Holmgren
    Jan. 14, 2013 at 2:48pm
  • It's about what we measure as Mass.Scientists are wrong.It is why they do not understand Reality & lead us to self-destruction. Frequency of the wave results from movement of nuclei through the time-space. If it does not move there is no wave and you have dark matter. It why it is silly to look for dark matter on Earth. The planet moves through Time-Space and really fast.
    Remigiusz Zarosinski Remigiusz Zarosinski
    Jan. 14, 2013 at 2:48pm
  • John, how could you find that implausible value???

    Saeed Gholami Saeed Gholami
    Jan. 14, 2013 at 2:48pm
  • John, your font isn't showing superscripts. Instead of 1025, the article is showing 10 to the 25th power. The International System of Units is trickier than you think about capitalization - the word "hertz" written out in English is not capitalized, but "Hz." as the abbreviation, is.
    Kenneth Roger Kenneth Roger
    Jan. 14, 2013 at 2:48pm
  • Looks like the "25" in 1025 Hz is a subscript and should be a superscript, e.g., it should read 10 to the 25th power.
    eSpace eSpace
    Jan. 14, 2013 at 2:48pm
  • Thank you, careful readers! The frequency should read 10^25 hertz, but it looks like some browsers weren't happy with the superscript font (Chrome in particular). We've made an adjustment so it it should render correctly for all now.
    Kate Travis, Science News Kate Travis, Science News
    Jan. 14, 2013 at 4:40pm
  • John, that's supposed to be a superscript 25, i.e. 10^25. (Which, like the article said, is 10 orders of magnitude higher than the frequency of light in the visible range.)
    And no, such capitalization is not the convention for units taken from proper names, although it applies to cases of unit *modifiers* which are proper names, as in "degrees Celsius". See SI brochure (8th ed.), section 5.2. (See the side table where it explicitly says "unit name___symbol ... hertz___Hz".) www(dot)bipm(dot)org/en/si/si_brochure/chapter5/5-2.html
    Jacob Jacob
    Jan. 16, 2013 at 6:19pm
  • Remigiusz Zarosinski an electron for example can exist as both a particle and a wave even when it is not moving and though the definition implies it must be moving but what is written here is what is found by particle physisists ths applies for at least most particles.
    Cedric  rousseau Cedric rousseau
    Jan. 18, 2013 at 7:27pm
  • The trouble with atomic clocks is that they depend on the relativistic mass of the atoms and that changes as the GPS timekeeper found out. In fact there are no perfect clocks or time dilation since it is the clocks that change NOT TIME ITSELF.
    Donald   Hamilton Donald Hamilton
    Mar. 5, 2013 at 8:44am
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