Second

The **second** (symbol: **s**), is a unit of time. There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. This tradition dates back to the Babylonians.

In science, a second is the time it takes for a caesium atom to vibrate 9,192,631,770 (around 9 billion) times. Scientists measure the second this way because the length of a day changes all the time. For example, when the dinosaurs lived, a day was about an hour shorter. Vibrations of atoms on the other hand always take the same time. This **atomic second** is also called the SI second.

Metric prefixes are frequently combined with the word _second_ to denote subdivisions of the second, _e.g._, the millisecond (one thousandth of a second) and nanosecond (one billionth of a second). Though SI prefixes may also be used to form multiples of the second (such as “kilosecond”, or one thousand seconds), such units are rarely used in practice. More commonly encountered, non-SI units of time such as the minute, hour, and day increase by multiples of 60 and 24 (rather than by powers of ten as in the SI system).

One heartbeat of an adult at rest, will last about one second.

## International second

Under the International System of Units, the second is currently defined as 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 caesium-133 atom. This definition refers to a caesium atom at rest at a temperature of  (absolute zero). The ground state is defined at zero magnetic field. The second thus defined is equivalent to the ephemeris second.

The international standard symbol for a second is **s** (see ISO 31-1)

## Equivalence to other units of time

1 international second is equal to:
- 1/60 minute (1 minute is equal to 60 seconds)
- 1/3,600 hour (1 hour is equal to 3,600 seconds)
- 1/86,400 day (1 day, in the sense of non-SI units accepted for use with the International System of Units, is equal to 86,400 seconds)
There are 31,536,000 seconds in a common year, 31,622,400 seconds in a leap year, and 31,557,600 seconds in a Julian year

## Historical origin

Originally, the second was known as a "second minute", meaning the second minute (i.e. small) division of an hour. The first division was known as a "prime minute" and is equivalent to the minute we know today. Third and fourth minutes were sometimes used in calculations.

The factor of 60 comes from the Babylonians who used a sexagesimal (base-60) numeral system. However, the Babylonians did not subdivide their time units sexagesimally (except for the day). The hour had been defined by the ancient Egyptians as either 1/12 of daytime or 1/12 of nighttime, hence both varied with the seasons. Greek astronomers, for example Hipparchus and Ptolemy, defined the hour as 1/24 of a mean solar day. Sexagesimally subdividing this mean solar hour made the second 1/86,400 of a mean solar day.

## SI multiples

SI prefixes are commonly used for times shorter than one second, but rarely for multiples of a second. Instead, certain non-SI units are permitted for use in SI: minutes, hours, days, and in astronomy Julian day<nowiki/>s.
|colspan="3"|Submultiples|colspan="4"|Multiples||||
| --- | --- | --- | --- | --- | --- | --- |
|10<sup>−1</sup> s|ds|decisecond|10<sup>1</sup> s|das|decasecond|10 seconds|
|10<sup>−2</sup> s|cs|centisecond|10<sup>2</sup> s|hs|hectosecond|1 minute 40 seconds|
|10<sup>−3</sup> s|ms|millisecond|10<sup>3</sup> s|ks|kilosecond|16 minutes 40 seconds|
|10<sup>−6</sup> s|µs|microsecond|10<sup>6</sup> s|Ms|megasecond|11.6 days|
|10<sup>−9</sup> s|ns|nanosecond|10<sup>9</sup> s|Gs|gigasecond|31.7 years|
|10<sup>−12</sup> s|ps|picosecond|10<sup>12</sup> s|Ts|terasecond|31,700 years|
|10<sup>−15</sup> s|fs|femtosecond|10<sup>15</sup> s|Ps|petasecond|31.7 million years|
|10<sup>−18</sup> s|as|attosecond|10<sup>18</sup> s|Es|exasecond|31.7 billion years|
|10<sup>−21</sup> s|zs|zeptosecond|10<sup>21</sup> s|Zs|zettasecond|31.7 trillion years|
|10<sup>−24</sup> s|ys|yoctosecond|10<sup>24</sup> s|Ys|yottasecond|31.7 quadrillion years|

Greek time periods, for example the mean synodic month, were usually specified quite precisely because they were _calculated_ from carefully selected eclipses separated by hundreds of years—individual _mean_ synodic months and similar time periods cannot be measured. Nevertheless, with the development of pendulum clocks keeping _mean time_ (as opposed to the _apparent time_ displayed by sundials), the second became measurable. The seconds pendulum was proposed as a unit of length as early as 1660 by the Royal Society of London. The duration of a beat or half period (one swing, not back and forth) of a pendulum one metre in length on the Earth's surface is approximately one second.

In 1956 the second was defined in terms of the period of revolution of the Earth around the Sun for a particular epoch, because by then it had become recognized that the Earth's rotation on its own axis was not sufficiently uniform as a standard of time. The Earth's motion was described in Newcomb's Tables of the Sun, which provides a formula for the motion of the Sun at the epoch 1900 based on astronomical observations made between 1750 and 1892. The second thus defined is

- _the fraction 1/31,556,925.9747 of the tropical year for 1900 January 0 at 12 hours ephemeris time._

This definition was ratified by the Eleventh General Conference on Weights and Measures in 1960. The _tropical year_ in the definition was not measured, but calculated from a formula describing a tropical year which decreased linearly over time, hence the curious reference to a specific _instantaneous_ tropical year. Because this second was the independent variable of time used in ephemerides of the Sun and Moon during most of the twentieth century (Newcomb's Tables of the Sun were used from 1900 through 1983, and Brown's Tables of the Moon were used from 1920 through 1983), it was called the ephemeris second.

When atomic clock<nowiki/>s were made, they became the basis of the definition of the second, rather than the revolution of the Earth around the Sun.

Following several years of work, Louis Essen from the National Physical Laboratory (Teddington, England) and William Markowitz from the United States Naval Observatory (USNO) determined the relationship between the hyperfine transition frequency of the caesium atom and the ephemeris second. Using a common-view measurement method based on the received signals from radio station WWV, they determined the orbital motion of the Moon about the Earth, from which the apparent motion of the Sun could be inferred, in terms of time as measured by an atomic clock. As a result, in 1967 the Thirteenth General Conference on Weights and Measures defined the second of atomic time in the International System of Units (SI) as

- _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 caesium-133 atom._

The ground state is defined at zero magnetic field. The second thus defined is equivalent to the ephemeris second.

The definition of the second was later refined at the 1997 meeting of the BIPM to include the statement

- _This definition refers to a caesium atom at rest at a temperature of 0 K._

The revised definition would seem to imply that the ideal atomic clock would contain a single caesium atom at rest emitting a single frequency. In practice, however, the definition means that high-precision realizations of the second should compensate for the effects of the ambient temperature (black-body radiation) within which atomic clocks operate and extrapolate accordingly to the value of the second as defined above.

## The second in role-playing games

Sometimes in role-playing games a second is used to refer to a small period of time or a single turn of combat. It is used as a standard moment of time, and does not necessarily refer to a real second, and could be shorter or longer depending on the scenario.

## Trivia

- Until modern times, degrees and hours were divided successively by 60 in _pars minuta prima_, _pars minuta secunda_, _pars minuta tertia_ and so on. This evolved to the modern minute and second, but for smaller divisions we follow now the decimal division. In some languages, dictionaries still keep the word for _third_ for 1/60 of a second, for example Polish (_tercja_) and Arabic (ثالثة).

## Related pages

- Leap second
- Orders of magnitude (time)
- UTC
- International System of Units
- Hertz
- Becquerel

## Other websites

- Official BIPM definition of the second
- Seconds and leap seconds by the USNO
- The leap second: its history and possible future