

By William J H Andrews
Scientific American Special Edition, Volume 16, Number 1, 2006
Humankind’s
efforts to tell time have helped drive the evolution of our technology
and science throughout history. read more
The need to gauge the divisions of the day and night led the ancient Egyptians, Greeks and Romans to create sundials, water clocks and other early chronometric tools. Western Europeans adopted these technologies, but by the 13th century, demand for a dependable timekeeping instrument led medieval artisans to invent the mechanical clock. Although this new device satisfied the requirements of monastic and urban communities, it was too inaccurate and unreliable for scientific application until the pendulum was employed to govern its operation. The precision timekeepers that were subsequently developed resolved the critical problem of finding a ship’s position at sea and went on to play key roles in the industrial revolution and the advance of Western civilisation. Today highly accurate timekeeping instruments set the beat for most of our electronic devices. Nearly all computers, for example, contain a quartz-crystal clock to regulate their operation. Moreover, not only do time signals beamed down from Global Positioning System satellites calibrate the functions of precision navigation equipment, they do so as well for cellular telephones, instant stock-trading systems and nationwide power-distribution grids. So integral have these time-based technologies become to our day-to-day lives that we recognise our dependency on them only when they fail to work.
According
to archaeological evidence, the Babylonians and Egyptians began to
measure time at least 5,000 years ago, introducing calendars to organise
and co-ordinate communal activities and public events, to schedule
the shipment of goods and, in particular, to regulate cycles of planting
and harvesting. They based their calendars on three natural cycles:
the solar day, marked by the successive periods of light and darkness
as the earth rotates on its axis; the lunar month, following the phases
of the moon as it orbits the earth; and the solar year, defined by
the changing seasons that accompany our planet’s revolution around
the sun. Before the invention of artificial light, the moon had greater
social impact. And, for those living near the equator in particular,
its waxing and waning was more conspicuous than the passing of the
seasons. Hence, the calendars developed at the lower latitudes were
influenced more by the lunar cycle than by the solar year. In more
northern climes, however, where seasonal agriculture was important,
the solar year became more crucial. As the Roman Empire expanded northward,
it organised its calendar for the most par around the solar year. Today’s
Gregorian calendar derives from the Babylonian, Egyptian, Jewish and
Roman calendars. The Egyptians formulated a civil calendar having 12
months of 30 days, with five days added to approximate the solar year.
Each period of 10 days was marked by the appearance of special star
groups (constellations) called decans. At the rise of the star Sirius
just before sunrise, which occurred around the all-important annual
flooding of the Nile, 12 decans could be seen spanning the heavens.
The cosmic significance the Egyptians placed in the 12 decans led them
to develop a system in which each interval of darkness (and later each
interval of daylight) was divided into a dozen equal parts. These periods
became known as temporal hours because their duration varied according
to the changing length of days and nights with the passing of the seasons.
Summer hours were long, winter hours were short; only at the spring
and autumn equinoxes were the hours of daylight and darkness equal.
Temporal hours, which were adopted by the Greeks and the Romans (who
spread them throughout Europe), remained in use for more than 2,500
years. Inventors created sundials, which indicate time by the length
or direction of the sun’s shadow, to track temporal hours during the
day. The sundial’s nocturnal counterpart, the water clock, was designed
to measure temporal hours at night. One of the first water clocks was
a basin with a small hole near the bottom through which the water dripped
out. The falling water level denoted the passing hour as it dipped
below hour lines inscribed on the inner surface. Although these devices
performed satisfactorily around the Mediterranean, they could not always
be depended on in the cloudy and often freezing weather of northern
Europe.
The
earliest recorded weight-driven mechanical clock was installed in 1283
at Dunstable Priory in Bedfordshire, England. That the Roman Catholic
Church should have played a major role in the invention and development
of clock technology is not surprising: the strict observance of prayer
times by monastic orders occasioned the need for a more reliable instrument
of time measurement. Further, the Church not only controlled education
but also possessed the wherewithal to employ the most skilful craftsmen.
Additionally, the growth of urban mercantile populations in Europe
during the second half on the 13th century created demand for improved
timekeeping devices. By 1300 artisans were building clocks for churches
and cathedrals in France and Italy. Because the initial examples indicated
the time by striking a bell (thereby alerting the surrounding community
to its daily duties), the name for this new machine was adopted from
the Latin word for “bell”, clocca. The revolutionary aspect of this
new timekeeper was neither the descending weight that provided its
motive force nor the gear wheels (which had been around for at least
1,300 years) that transferred the power; it was the part called escapement.
This device controlled the wheels’ rotation and transmitted the power
required to maintain the motion of the oscillator, the part that regulated
the speed at which the timekeeper operated. The inventor of the clock
escapement is unknown.
Although
the mechanical clock could be adjusted to maintain temporal hours,
it was naturally suited to keeping equal ones. With uniform hours,
however, arose the question of when to begin counting them, and so,
in the early 14th century, a number of systems evolved. The schemes
that divided the day into 24 equal parts varied according to the start
of the count: Italian hours began at sunset, Babylonian hours at sunrise,
astronomical hours at midday and “great clock” hours (used for some
large public clocks in Germany) at midnight. Eventually these and competing
systems were superseded by “small clock”, or French, hours which split
the day, as we currently do, into two 12-hour periods commencing at
midnight. During the 1580s clockmakers received commissions for timekeepers
showing minutes and seconds, but their mechanisms were insufficiently
accurate for these fractions to be included on dials until the 1660s,
when the pendulum clock was developed. Minutes and seconds derive from
the sexagesimal partitions of the degree introduced by Babylonian astronomers.
The word “minute” has its origins in the Latin prima minuta, the first
small division “second” comes from secunda minuta, the second small
division. The sectioning of the day into 24 hours and of hours and
minutes into 60 parts became so well established in Western culture
that all efforts to change this arrangement failed. The most notable
attempt took place in revolutionary France in the 1790s, when the government
adopted the decimal system. Although the French successfully introduced
the meter, litre and other base-10 measures, the bid to break the day
into 10 hours, each consisting of 100 minutes split into 100 seconds,
lasted only 16 months.
For
centuries after the invention of the mechanical clock, the periodic
tolling of the bell in the town church or clock tower was enough to
demarcate the day for most people. But by the 15th century, a growing
number of clocks were being made for domestic use. Those who could
afford the luxury of owning a clock found it convenient to have one
that could be moved from place to place. Innovators accomplished portability
by replacing the weight with a coiled spring. The tension of a spring,
however, is greater after it is wound. The contrivance that overcame
this problem, known as a fusee (from fusus, the Latin term for “spindle”),
was invented by an unknown mechanical genius probably between 1400
and 1450. This cone-shaped device was connected by a cord to the barrel
housing the spring: when the clock was wound, drawing the cord from
the barrel onto the fusee compensated for the force of the spring.
Thus, the fusee equalised the force of the spring on the wheels of
the timekeeper. The importance of the fusee should not be underestimated:
it made possible the development of the portable clock as well as the
subsequent evolution of the pocket watch. Many high-grade, spring-driven
timepieces, such as marine chronometers, continued to incorporate this
device until after World War II.
In
the 16th century Danish astronomer Tycho Brahe and his contemporaries
tried to use clocks for scientific purposes, yet even the best ones
were still too unreliable. Astronomers in particular needed a better
tool for timing the transit of stars and thereby creating more accurate
maps of the heavens. The pendulum proved to be the key to boosting
the accuracy and dependability of timekeepers. Galileo Galilei, the
Italian physicist and astronomer, and others before him experimented
with pendulums, but a young Dutch astronomer and mathematician named
Christiaan Huygens devised the first pendulum clock on Christmas Day
in 1656. Huygens recognised the commercial as well as the scientific
significance of his invention immediately, and within a six months
a local maker in the Hague had been granted a license to manufacture
pendulum clocks. Huygens saw that a pendulum traversing a circular
arc completed small oscillations faster than large ones. Therefore,
any variation in the extent of the pendulum’s swing would cause the
clock to gain or lose time. Realising that maintaining a constant amplitude
(amount of travel) from swing to swing was impossible, Huygens devised
a pendulum suspension that caused the bob to move in a cycloid-shaped
arc rather than a circular one. This enabled it to oscillate in the
same time regardless of its amplitude. Pendulum clocks were about 100
times as accurate as their predecessors, reducing a typical gain or
loss of 15 minutes a day to about a minute a week. News of the invention
spread rapidly, and by 1660 English and French artisans were developing
their own versions of this new timekeeper. The advent of the pendulum
not only heightened demand for clocks but also resulted in their development
as furniture. National styles soon began to emerge: English makers
designed the case to fit around the clock movement; in contrast, the
French placed greater emphasis on the shape and decoration of the case.
Huygens, however, had little interest in these fashions, devoting much
of his time to improving the device both for astronomical use and for
solving the problem of finding longitude at sea.
In
1675 Huygens devised his next major improvement, the spiral balance
spring. Just as gravity controls the swinging oscillation of a pendulum
in clocks, this spring regulates the rotary oscillation of a balance
wheel in portable timepieces. A balance wheel is a finely balanced
disk that rotates fully one way and then the other, repeating the cycle
over and over. The spiral balance spring revolutionised the accuracy
of watches, enabling them to keep time to within a minute a day. This
advance sparked an almost immediate rise in the market for watches,
which were now no longer typically worn on a chain around the neck
but were carried in the pocket, a wholly new fashion in clothing. At
about the same time, Huygens heard of an important English invention.
The anchor escapement, unlike the verge escapement he had been using
in his pendulum clocks, allowed the pendulum to swing in such a small
arc that maintaining a cycloidial pathway became unnecessary. Moreover,
this escapement made practical use of a long, seconds-beating pendulum
and thus led to the development of a new case design. The longcase
clock, commonly known since 1876 as the grandfather clock (after a
song by American Henry Clay Work), began to emerge as one of the most
popular English styles. Longcase clocks with anchor escapements and
long pendulums can keep time to within a few seconds a week. The celebrated
English clockmaker Thomas Tompion and his successor, George Graham,
later modified the anchor escapement to operate without recoil. This
enhanced design, called the deadbeat escapement, became the most widespread
type used in precision timekeeping for the next 150 years.
When
the royal observatory at Greenwich, England, was founded in 1675, part
of its charter was to find “the so-much-desired longitude of places”.
The first Astronomer Royal, John Flamsteed, used clocks fitted with
anchor escapements to time the exact moments that stars crossed the
celestial meridian, an imaginary line that connects the poles of the
celestial sphere and defines the due-south point in the night sky.
This allowed him to gather more accurate information on star positions
than had hitherto been possible by making angular measurements with
sextants or quadrants alone. Although navigators could find their latitude
(their position north or south of the equator) at sea by gauging the
altitude of the sun or polestar, the heavens did not provide such a
straightforward solution for finding longitude. Storms and currents
often confounded attempts to keep track of distance and direction travelled
across oceans. The resulting navigational errors cost seafaring nations
dearly, not only in prolonged voyages but also in loss of lives, ships
and cargo. The severity of this predicament was brought home to the
British government in 1707, when an admiral of the fleet and more than
1,600 sailors perished in the wrecks of four Royal Navy ships off the
coast of the Scilly Isles. Thus in 1714, through an act of Parliament,
Britain offered substantial prizes for practical solutions to finding
longitude at sea. The largest prize, £20,000 (which is equivalent to
about $12 million today), would be given to the inventor of an instrument
that could determine a ship’s longitude to within half a degree, or
30 nautical miles, when reckoned at the end of a voyage to a port in
the West Indies, whose longitude could be accurately ascertained using
proven land-based methods. The great reward attracted a deluge of harebrained
schemes. Hence, the Board of Longitude, the committee appointed to
review promising ideas, held no meetings for more than 20 years. Two
approaches, however, had long been known to be theoretically sound.
The first, called the lunar-distance method, involved precise observations
of the moon’s position in relation to the stars to determine the time
at a reference point from which longitude could be measured; the other
required a very accurate clock to make the same determination. Because
the earth rotates every 24 hours, or 15 degrees in an hour, a two-hour
time difference represents a 30-degree difference in longitude. The
seemingly overwhelming obstacles to keeping accurate time at sea – among
them the often violent motions of ship, extreme changes in temperature,
and variations in gravity at different latitudes – led English physicist
Isaac Newton and his followers to believe that the lunar-distance method,
though problematic, was the only viable solution. Newton was wrong,
however. In 1737 the board finally met for the first time to discuss
the work of a most unlikely candidate, a Yorkshire carpenter named
John Harrison. Harrison’s bulky longitude timekeeper had been used
on a voyage to Lisbon and on the return trip had proved its worth by
correcting the navigator’s dead reckoning of the ship’s longitude by
68 miles. Its maker, however, was dissatisfied. Instead of asking the
board for a West Indies trial, he requested and received financial
support to construct an improved machine. After two years of work,
still displeased with his second effort, Harrison embarked on a third,
labouring on it for 19 years. But by the time it was ready for testing,
he realised that his fourth timekeeper, a five-inch-diameter watch
he had been developing simultaneously, was better. On a voyage to Jamaica
in 1761, Harrison’s oversize watch performed well enough to win the
prize, but the board refused to give him his due without proof. A second
sea trial in 1764 confirmed his success. Harrison was reluctantly granted £10,000.
Only when King George III intervened in 1773 did he receive the remaining
prize money. Harrison’s breakthrough inspired further developments.
By 1790 the marine chronometer was so refined that its fundamental
design never needed to be changed.
At
the turn of the 19th century, clocks and watches were relatively accurate,
but they remained expensive. Recognising the potential market for a
low-cost timekeeper, two investors in Waterbury, Conn., took action.
In 1807 they gave Eli Terry, a clockmaker in nearby Plymouth, a three-year
contract to manufacture 4,000 longcase clock movements from wood. A
substantial down payment made it possible for Terry to devote the first
year to fabricating machinery for mass production. By manufacturing
interchangeable parts, he completed the work within the terms of the
contract. A few years later terry designed a wooden-movement shelf
clock using the same volume-production techniques. Unlike the longcase
design, which required the buyer to purchase the case separately, Terry’s
shelf clock was completely self-contained. The customer needed only
to place it on a level shelf and wind it up. For the relatively modest
sum of $15, many average people could now afford a clock. This achievement
led to the establishment of what was to become the renowned Connecticut
clockmaking industry. Before the expansion of railroads in the 19th
century, towns in the U.S. and Europe used the sun to determine local
time. For example, because noon occurs in Boston about three minutes
before it does in Worcester, Mass., Boston’s clocks were set about
three minutes ahead of those in Worcester. The expanding railroad network,
however, needed a uniform time standard for all the stations along
the line. Astronomical observatories began to distribute along the
precise time to the railroad companies by telegraph. The first public
time service, introduced in 1851, was based on clock beats wired from
the Harvard College Observatory in Cambridge, Mass. The Royal Observatory
introduced its time service the next year, creating a single standard
time for Great Britain. The U.S. established four time zones in 1883.
By the next year governments of all nations had recognised the benefits
of a worldwide standard of time for navigation and trade. At the 1884
International Meridian Conference in Washington D.C., the globe was
divided into 24 time zones. Signatories chose the Royal Observatory
as the prime meridian (zero degrees longitude, the line from which
all other longitudes are measured) in part because two thirds of the
worlds shipping already used Greenwich time for navigation.
Many
Clockmakers of this era realised that the market for watches would
far exceed that for clocks if production costs could be reduced. The
problem of mass-fabricating interchangeable parts for watches, however,
was considerably more complicated because the precision demanded in
making the necessary miniaturised components was so much greater. Although
improvements in quantity manufacture had been instituted in Europe
since the late 18th century, European watchmakers’ fears of saturating
the market and threatening their workers’ jobs by abandoning traditional
practices stifled out most thoughts of introducing machinery for the
production of interchangeable watch parts. Disturbed that American
watchmakers seemed unable to compete with their counterparts in Europe,
which controlled the market in the late 1840s, a watchmaker in Maine
named Aaron L. Dennison met with Edward Howard, the operator of a clock
factory in Roxbury, Mass., to discuss mass-production methods for watches.
Howard and his partner gave Dennison space to experiment and develop
machinery for the project. By the fall of 1852, 20 watches had been
completed under Dennison’s supervision. His workmen finished 100 watches
by the following spring, and 1,000 more were produced a year later.
By that time the manufacturing facilities in Roxbury were proving too
small, so the newly named Boston Watch Company moved to Waltham, Mass.,
where by the end of 1854 it was assembling 36 watches a week. The American
Waltham Watch Company, as it eventually became known, benefited greatly
from a huge demand for watches during the Civil War, when Union army
forces used them to synchronise operations. Improvements in fabrication
techniques further boosted output and cut prices. Meanwhile other U.S.
companies formed in the hope of capturing part of the burgeoning trade.
The Swiss, who had previously dominated the industry, grew concerned
when their exports plummeted in the 1870s. The investigator they sent
to Massachusetts discovered that not only was productivity higher at
the Waltham factory but production costs were less. Even some of the
lower-grade American watches could be expected to keep reasonably good
time. The watch was at last a commodity accessible to the masses. Because
women had worn bracelet watches in the 19th century, wristwatches were
long considered feminine accoutrements. During World War I, however,
the pocket watch was modified so it could be strapped to the wrist,
where it could be viewed more readily on the battlefield. With the
help of a substantial marketing campaign, the masculine fashion for
wristwatches caught on after the war. Self-winding mechanical wristwatches
made their appearance during the 1920s.
At
the end of the 19th century, Siegmend Riefler of Munich developed a
radical new design of regulator – a highly accurate timekeeper that
served as a standard for controlling others. Housed in a partial vacuum
to minimise the effects of barometric pressure and equipped with a
pendulum largely unaffected by temperature variations, Riefler’s regulators
attained an accuracy of a tenth of a second a day and were thus adopted
by nearly every astronomical observatory. Further progress came several
decades later, when English railroad engineer William H. Shortt designed
a so-called free pendulum clock that reputedly kept time within about
a second a year. Shortt’s system incorporated two pendulum clocks,
one a “master” (housed in an evacuated tank) and the other a “slave” (which
contained the time dials). Every 30 seconds the slave clock gave an
electromagnetic impulse to, and was in turn regulated by, the master
clock pendulum, which was thus nearly free from mechanical disturbances.
Although Shortt clocks began to displace Rieflers as observatory regulators
during the 1920s, their superiority was short-lived. In 1928 Warren
A. Marrison, an engineer at Bell Laboratories in New York, discovered
an extremely uniform and reliable frequency source that was as revolutionary
for timekeeping as the pendulum has been 272 years earlier. Developed
originally for use in radio broadcasting, the quartz crystal vibrates
at a highly regular rate when excited by an electrical current. The
first quartz clocks installed at the Royal Observatory in 1939 varied
by only two thousandths of a second a day. By the end of World War
II, this accuracy had improved to the equivalent of a second every
30 years. Quartz-crystal technology did not remain the premier frequency
standard for long either, however. By 1948 Harold Lyons and his associates
at the National Bureau of Standards in Washington, D.C., had based
the first atomic clock on a far more precise and stable source of timekeeping;
an atom’s natural resonant frequency, the periodic oscillation between
two of its energy states. Subsequent experiments in both the U.S. and
England in the 1950s led to the development of the cesium-beam atomic
clock. Today the averaged times of cesium clocks in various parts of
the world provide the standard frequency for Coordinated Universal
Time, which has an accuracy of better than one nanosecond a day. Up
to the mid-20th century, the sidereal day, the period of the earth’s
rotation on its axis in relation to the stars, was used to determine
standard time. This practice had been retained even though it had been
suspected since the late 18th century that our planet’s axial rotation
was not entirely constant. The rise of cesium clocks capable of measuring
discrepancies in the earth’s spin, however, meant that a change was
necessary. A new definition of the second, based on the resonant frequency
of the cesium atom, was adopted as the new standard unit of time.
The precise measurement of time is of such fundamental importance to science that the search for even greater accuracy continues. Current and coming generations of atomic clicks, such as the hydrogen maser (a frequency oscillator), the cesium fountain and, in particular, the optical clock (both frequency discriminators), are expected to deliver an accuracy (more precisely, a stability) of 100 femtoseconds (100 quadrillionths of a second) over a day. Although our ability to measure time will surely improve in the future, nothing will change the fact that it is one thing of which we will never have enough. hide this.
Atomic clocks are shrinking to microchip size, heading for space – and approaching the limits of useful precision. read more
Dozens
of the top clockmakers in the world convened in New Orleans one muggy
week in May 2002 to present their latest inventions. There was not a
mechanic among them; these were scientists, and their conversations buzzed
with talk of spectrums and quantum levels, not gears and escapements.
Today those who would build a more accurate clock must advance into frontiers
of physics and engineering in several directions at once. They are cobbling
lasers that spit out pulses a quadrillionth of a second long together
with chambers that chill atoms to a few millionths of a degree above
absolute zero. They are snaring individual ions in tar pits of light
and magnetism and manipulating the spin of electrons in their orbits.
And thanks to major technical advances, the art of ultra-precise timekeeping
is progressing with a speed not seen for 30 years or more. These days
a good cesium beam clock, of the kind Symmetricon sells for $49,000,
will tick off seconds true to about a microsecond a month, its frequency
accurate to five parts in 1013. The primary time standard
for the U.S., a cesium fountain clock installed in 1999 by the National
Institute of Standards and Technology (NIST) at its Boulder Colo., laboratory,
is good to five parts in 1016 (usually written as 10-16).
That is 1,000 times the accuracy of NIST’s best clock in 1975. But space-based
clocks set to fly on the International Space Station by 2008 are expected
to tick with uncertainties on the order of 10-17. And successful
prototypes of new clock designs – devices that extract time from calcium
atoms or mercury ions instead of cesium – lead physicists to expect that
accuracy will soon reach the 10-18 range, a 1,000-fold improvement
in less than a decade. Accuracy may not be quite the right word. The
second was defined in 1967 by international fiat to be “the duration
of 9,192,631,770 periods of the radiation corresponding to the transition
between the two hyperfine levels of the ground state of the cesium 133
atom”. Leave aside for the moment what that means: the point is that
to measure a second, you have to look at cesium. Very soon now the best
clocks won’t – so, strictly speaking, they won’t be measuring seconds.
That is one predicament the clockmakers face. Further down the road lies
a more fundamental limitation: as Albert Einstein theorised and experiment
has confirmed, time is not absolute. The rate of any clock slows down
when gravity gets stronger or when the clock moves quickly relative to
its observer – even a single photon emitted as an electron reorients
its magnetic poles or jumps from one orbit to another. By putting ultra-precise
clocks on the space station, scientists hope to put relativity theory
through its toughest tests yet. But once clocks reach a precision of
10-18 – proportions that correspond to a deviation of less
than half a second over the age of the universe – the effects of relativity
will test the scientists. No technology exists that can synchronise clocks
around the world with such exactness.
So
why bother to improve atomic clocks? The duration of the second can already
be measured to 14 decimal places, a precision 1,000 times that of any
other fundamental unit. One reason to do better is that the second is
increasingly the fundamental unit. Three of the six other basic units – the
meter, lumen and ampere – are now defined in terms of the second. The
kilogram and the mole may be next. “It is just a matter of time before
[the kilogram] is redefined”, says Richard L. Steiner of NIST. Using
the famous E=mc2 equation, scientists could set the units of mass to
an equivalent amount of energy, such as a collection of photons whose
frequencies sum to a certain number. By improving clocks, scientists
can improve measurements of much more than time. More stable and portable
clock designs could also be a big boon to navigation, enhancing the accuracy
and reliability of the Global Positioning System and of Galileo, a competing
system under development in Europe. Better clocks would help NASA track
its satellites, enable utilities and communications firms to trace faults
in their networks, and enhance geologists’ ability to pinpoint earthquakes
and nuclear bomb tests. Astronomers could use them to connect telescopes
in ways that dramatically sharpen their images. And inexpensive, microchip-size
atomic clocks are likely to have myriad uses not yet imagined. To understand
why timekeeping has suddenly lurched into high gear, it helps to know
a little about how atomic clocks work. In principle, an atomic clock
is just like any other timepiece, with an oscillator that “ticks” in
a regular way and a counter that converts the ticks to seconds. The ticker
in a cesium clock is not mechanical (like a pendulum) or electromechanical
(like a quartz crystal). It is quantum-mechanical: a photon of light
is absorbed by the cesium atom’s outermost electron, causing the electron
to flip its magnetic field (and its associated spin) upside down. Unlike
pendulums and crystals, all cesium atoms are identical. And every one
will flip its spin when hit with microwaves at a frequency of exactly
9,192,631,770 cycles per second. To measure seconds, the clock locks
its microwave generator onto the sweet spot in the spectrum where most
cesium atoms react. Then it starts counting cycles. Of course, nothing
in quantum physics is really that simple. Complicating things, as usual,
is the Heisenberg indeterminacy principle, which puts strict limits on
how precisely one can measure the frequency of a single photon. The best
clocks now scan a one-hertz-wide sweet spot to find its exact centre,
plus or minus one millihertz, in every single measurement – despite the
Heisenberg limits. “The reason we can’t do it is that we look at more
than a million atoms each time,” Kurt Gibble, a physicist at Pennsylvania
State University, explained in New Orleans. “Because it isn’t really
just one measurement, it doesn’t violate the laws of quantum mechanics.” But
that solution creates other problems. At room temperature, cesium is
a soft silvery metal. It would melt in your palm to a golden puddle – although
you wouldn’t want to touch it, because it reacts violently with water.
Inside a cesium beam clock, an oven heats the metal until atoms boil
off. These hot particles can zip through the microwave cavity at various
speeds and angles. Some move so fast that (because of relativity) they
behave as if time has slowed. To other atoms, the microwaves appear (because
of Doppler shifting) to be higher or lower in frequency than they are.
The atoms no longer behave identically, so the ticks grow less distinct.
Herr Doktor Heisenberg would probably have suggested slowing the atoms
down, and that’s what clockmakers have done. The four or five best clocks
in the world – at NIST, the U.S. Naval Observatory in Washington D.C.,
and the standards institutes in Paris and in Braunschweig, Germany – all
toss supercooled balls of cesium atoms in a fountain-like arc through
a microwave chamber. To condense the hot cesium gas into a ball, six
intersecting laser beams decelerate the atoms to less than two microkelvins – almost
a complete standstill. The low temperature all but eliminates relativistic
and Doppler shifts, and it gives a two-meter-tall fountain clock half
a second to flip the atoms’ spins. Fountain clocks, introduced in 1996,
rapidly knocked 90 percent off the uncertainty of International atomic
time.
It
takes time to make a good second, and the fountain clocks still rush
the job. “We would have to quadruple the height of the tower to double
the observation time,” says Donald Sullivan, chief of time and frequency
division at NIST. Instead of punching a hole through the ceiling of his
lab, Sullivan is leading one of three projects to put fountain-like clocks
on the International Space Station. “In space, we can launch a ball of
atoms at 15 centimetres per second through a 74-centimetre cavity. So
we have five to 10 seconds to observe them,” he explains. The $25-million
Primary Atomic Reference Clock in Space (PARCS) project on which he works
should turn out seconds good to five parts in 1017. If PARCS
is launched by 2009 as expected, it may be joined on the space station
by a device from the European Space Agency called ACES (Atomic Clock
Ensemble in Space), Both clocks aim to measure with 99.99997 percent
accuracy how much the microgravity of low earth orbit slows time compared
with measurements made on the ground. A third clock, called RACE (Rubidium
Atomic Clock Experiment), is scheduled to follow. As its name suggests,
RACE will replace the cesium so familiar to clockmakers with a different
alkali element. “In the best cesium fountains, the largest source of
error are so-called cold collisions,” explained Gibble, who directs the
RACE project. At temperatures near absolute zero, quantum physics takes
over and atoms start to behave like waves. “They appear hundreds of times
bigger than normal, so they collide much more often. At a microkelvin,
cesium has nearly the maximum possible cross section,” he continued. “But
the effective size for Rubidium atoms is 50 times smaller.” That should
enable RACE to reach 10-17, one fifth the uncertainty of PARCS
and ACES. Rubidium clocks offer another advantage: the opportunity to
look for fluctuations in the fine-structure constant, alpha. Alpha determines
the strength of electromagnetic interactions in atoms and molecules.
It is very nearly 1/137, a unitless number that falls out of the Standard
Model of physics, with no apparent reason for the value it has. Yet it
is an important number – change alpha very much, and the universe could
not support life as we know it. In the Standard Model, the fine-structure
constant is immutable throughout eternity. But in some competing theories
(such as certain string theories), alpha could waver slightly or grow
as time goes by. In August 2001 a group of astronomers reported preliminary
evidence that alpha may have increased by one part in 10,000 during the
past six billion years. But the evidence is equivocal, and the question
is a hard one to settle. By comparing rubidium clocks to those based
on cesium and other elements, scientists may be able to lower the limit
on possible alpha fluctuations by a factor of 20.
Aside
from its replacement of cesium with rubidium, RACE will be a fairly standard
fountain clock, with lasers cooling the atoms but microwaves kicking
the electrons around and ticking off the time. That is a proven and reliable
design. But it will soon be obsolete. In August 2001 Scott A. Diddams
and his colleagues at NIST reported a short trial run of something many
clock builders had thought they might never live ot see: an optical atomic
clock based on a single mercury atom. It may seem like a natural idea
to graduate from microwaves, at frequencies of gigahertz, to visible
light, well into the terhertz part of the spectrum. Optical photons pack
enough energy to bump electrons clear into the next orbital shell – no
need to fuss with subtleties like spin. But although the ticker still
works at terahertz frequencies, the counter breaks. “Nobody knows how
to count 1016 cycles per second” observes Eric A. Burt of
the Jet Propulsion Laboratory in Pasadena, Calif. “We needed a bridge
to the microwave regime, where we do have electronic counters.” Enter
the optical ruler. In 1999 Thomas Udem, Theodor W. Hänsch, and others
at the Max Planck Institute for Quantum Optics in Garching, Germany,
figured out a way to measure optical frequencies directly, using a reference
laser that pulses at a rate of one gigahertz. Each pulse of light is
just a couple dozen femtoseconds long. (A femtosecond is a very, very
small amount of time. More femtoseconds elapse in each second than there
have been hours since the big bang.) A laser puts out a continuous beam
of only one colour, but pulse that laser and you get a mixture of colours
in each flash. The spectrum of a femtosecond pulse is a bizarre thing
to see: millions of sharp lines panning the rainbow, each line spaced
exactly the same distance from its neighbours – like tick marks on a
ruler. “That you could make a laser that pulses a billion times a second
and whose constituent frequencies are all stable to one hertz is just
short of unbelievable,” Gibble said, shaking his head. Diddams’s group
at NIST has built a rudimentary optical clockwork around mercury ions,
which they immobilise in an electromagnetic trap. Because each atom is
missing an electron, the ions carry a positive charge. They repel one
another, so collisions are no longer a problem. Though still too fragile
to run constantly, the device is stable to better than six parts in 1016 over
the course of a second. Over longer periods the uncertainty could approach
10-18. “Mercury is not an ideal element to use,” Sullivan
acknowledges. “The clock transition we use in it can shift with magnetic
fields, which are hard to eliminate completely. But there is a transition
in indium that looks attractive.” Udem and Hänsch are one step ahead
of him. They have been investigating the indium ion, and indeed it seems
quite capable of carrying clocks down “into the eighteens,” as Gibble
put it. Groups at the Federal Institute of Physics and Metrology in Braunschweig
and elsewhere are experimenting with uncharged calcium atoms. Because
neutral atoms can be crammed more densely into the trap than can ions,
the signal soars higher over the noise. “It’s still an open question
whether a clock with just 50 ions will do better than one with 100 million
neutral atoms,” Gibble mused.
One way or another, however, “it seems clear that we will soon have clocks that go into the seventeens in accuracy,” Gibble said. But there’s that word again: accuracy. “Optical clocks move away from the atomic definition of the second, which is based on the properties of cesium,” Sullivan points out. For the newest and best clocks to be strictly accurate as keepers of the time to which we set our watches, that definition will have to change. Sullivan says the time committee of the International Bureau of Weights and Measures (BIPM), which decides such things, recently accepted his proposal to allow “secondary” definitions that state the equivalence of a cesium frequency to that of other atoms. If the full BIPM assembly approves the idea, the definition of the second will be broadened but also weakened. Clock builders will not get around relativity so easily. Clocks accurate to one part in 1017 – a millisecond in three million years – will be easily thrown out of whack by two relativistic effects. First there is time dilation: moving clocks run slow. “A frequency shift of 10-17 corresponds to a time dilation due to walking speed,” Gibble said. The other confounder is gravity. The stronger the pull, the slower time passes. Clocks at the top of Mount Everest pull ahead of those at sea level by about 30 microseconds a year. “We already have to correct for this effect when we compare clocks on different floors of our building,” Sullivan says. Raising a clock 10 centimetres will change its rate by one part in 1017. And elevation is relatively easy to measure compared with variations in gravity cause by local geology, the tides or even magma shifting miles underground. Ultimately, Gibble said, “if you take our ability to split spectral lines with microwave clocks and extrapolate to optical rulers, that puts you at uncertainties of order 10-22. I certainly would not claim that we are going to get there anytime soon, however.” And there is no particular rush: no one has the first idea how to transfer time that precisely between two clocks. And what good is a clock if you can’t move it and can’t check it against another? hide this.
Click this icon to visit Amazon for buying Longitude and other books on Time Measurement
Save this web site as your Amazon 'favourite' so that your Amazon purchases raise money for charity at no cost to you. Thank you.
Click this icon to visit the Mechanical Clock web site
Tired of your regular PC clock? Want something special for you computer screen? Then get this amazing Mechanical Clock 3D Screensaver. It shows you all the internals and mechanisms that work perfectly in sync. We’ve hired a practicing clock master to be our consultant to help us design a realistic clock screensaver, selecting an 18th century Swiss clock as a model. Mechanical Clock 3D Screensaver always works correctly and is never off, as long as your PC clock time is right. In addition, this screensaver does not require any set up whatsoever. The clock piece itself is so exquisite and so fascinating that some people watch it without interruptions for hours. This screensaver is great for a home or office PC; it is also great in any public place, since people can see what time it is now by simply glancing at a computer screen.
If you can create the simplest of screensaver clocks then we have a collaboration opportunity that you may be interested in. Contact us via the ‘Contact us’ button on the left of the screen.