Orders of magnitude (time)
An order of magnitude of time is usually a decimal prefix or decimal order-of-magnitude quantity together with a base unit of time, like a microsecond or a million years. In some cases, the order of magnitude may be implied (usually 1), like a "second" or "year". In other cases, the quantity name implies the base unit, like "century". In most cases, the base unit is seconds or years.
Prefixes are not usually used with a base unit of years. Therefore, it is said "a million years" instead of "a mega year". Clock time and calendar time have duodecimal or sexagesimal orders of magnitude rather than decimal, e.g., a year is 12 months, and a minute is 60 seconds.
The smallest meaningful increment of time is the Planck time―the time light takes to traverse the Planck distance, many decimal orders of magnitude smaller than a second.
The largest realized amount of time, based on known scientific data, is the age of the universe, about 13.8 billion years—the time since the Big Bang as measured in the cosmic microwave background rest frame. Those amounts of time together span 60 decimal orders of magnitude. Metric prefixes are defined spanning 10^{−30} to 10^{30}, 60 decimal orders of magnitude which may be used in conjunction with the metric base unit of second.
Metric units of time larger than the second are most commonly seen only in a few scientific contexts such as observational astronomy and materials science, although this depends on the author. For everyday use and most other scientific contexts, the common units of minutes, hours (3,600 s or 3.6 ks), days (86,400 s), weeks, months, and years (of which there are a number of variations) are commonly used. Weeks, months, and years are significantly variable units whose length depend on the choice of calendar and are often not regular even with a calendar, e.g., leap years versus regular years in the Gregorian calendar. This makes them problematic for use against a linear and regular time scale such as that defined by the SI, since it is not clear which version is being used.
Because of this, the table below does not include weeks, months, and years. Instead, the table uses the annum or astronomical Julian year (365.25 days of 86,400 seconds), denoted with the symbol a. Its definition is based on the average length of a year according to the Julian calendar, which has one leap year every four years. According to the geological science convention, this is used to form larger units of time by the application of SI prefixes to it; at least up to giga-annum or Ga, equal to 1,000,000,000 a (short scale: one billion years, long scale: one milliard years).
Less than one second
Multiple of a second |
Unit | Symbol | Definition | Comparative examples & common units |
---|---|---|---|---|
10^{−44} | Planck time | t_{P} | Presumed to be the shortest theoretically measurable time interval (but not necessarily the shortest increment of time—see quantum gravity) |
10^{−14} qs: The length of one Planck time (t_{P} = ≈ 5.39×10^{−44} s) is the briefest physically meaningful span of time. It is the unit of time in the natural units system known as Planck units. |
10^{−30} | quectosecond | qs | Quectosecond, (quecto- + second), is one nonillionth of a second | |
10^{−27} | rontosecond | rs | Rontosecond, (ronto- + second), is one octillionth of a second | 300 rs: The mean lifetime of W and Z bosons |
10^{−24} | yoctosecond | ys | Yoctosecond, (yocto- + second), is one septillionth of a second | 23 ys: The lower estimated bound on the half-life of isotope 7 of hydrogen (Hydrogen-7) 143 ys: The half-life of the Nitrogen-10 isotope of Nitrogen 156 ys: The mean lifetime of a Higgs Boson |
10^{−21} | zeptosecond | zs | Zeptosecond, (zepto- + second), is one sextillionth of one second | 1.3 zs: Smallest experimentally controlled time delay in a photon field. 2 zs: The representative cycle time of gamma ray radiation released in the decay of a radioactive atomic nucleus (here as 2 MeV per emitted photon) 4 zs: The cycle time of the zitterbewegung of an electron () 247 zs: The experimentally-measured travel time of a photon across a hydrogen molecule, "for the average bond length of molecular hydrogen" |
10^{−18} | attosecond | as | One quintillionth of one second | 12 as: The best timing control of laser pulses. 43 as: The shortest X-ray laser pulse 53 as: The shortest electron laser pulse |
10^{−15} | femtosecond | fs | One quadrillionth of one second | 1 fs: The cycle time for ultraviolet light with a wavelength of 300 nanometres; The time it takes light to travel a distance of 0.3 micrometres (µm). 140 fs: The time needed for electrons to have localized onto individual bromine atoms 6 Ångstrom apart after laser dissociation of Br_{2}. 290 fs: The lifetime of a tauon |
10^{−12} | picosecond | ps | One trillionth of one second | 1 ps: The mean lifetime of a bottom quark; the time needed for light to travel 0.3 millimetres (mm) 1 ps: The typical lifetime of a transition state one machine cycle by an IBM silicon-germanium transistor 109 ps: The period of the photon corresponding to the hyperfine transition of the ground state of cesium-133, and one 9,192,631,770th of one second by definition 114.6 ps: The time for the fastest overclocked processor as of 2014^{[update]} to execute one machine cycle. 696 ps: How much more a second lasts far away from Earth's gravity due to the effects of General Relativity |
10^{−9} | nanosecond | ns | One billionth of one second | 1 ns: The time needed to execute one machine cycle by a 1 GHz microprocessor 1 ns: The time light takes to travel 30 cm (11.811 in) |
10^{−6} | microsecond | µs | One millionth of one second | 1 µs: The time needed to execute one machine cycle by an Intel 80186 microprocessor 2.2 µs: The lifetime of a muon 4–16 µs: The time needed to execute one machine cycle by a 1960s minicomputer |
10^{−3} | millisecond | ms | One thousandth of one second | 1 ms: The time for a neuron in the human brain to fire one impulse and return to rest 4–8 ms: The typical seek time for a computer hard disk |
10^{−2} | centisecond | cs | One hundredth of one second | 1–2 cs (=0.01–0.02 s): The human reflex response to visual stimuli 1.6667 cs: The period of a frame at a frame rate of 60 Hz. 2 cs: The cycle time for European 50 Hz AC electricity |
10^{−1} | decisecond | ds | One tenth of a second | 1–4 ds (=0.1–0.4 s): The length of a single blink of an eye |
More than one second
In this table, large intervals of time surpassing one second are catalogued in order of the SI multiples of the second as well as their equivalent in common time units of minutes, hours, days, and Julian years.
Multiple of a second | Unit | Symbol | Common units | Comparative examples and common units |
---|---|---|---|---|
10^{1} | decasecond | das | single seconds
(1 das = 10 s) |
6 das: One minute (min), the time it takes a second hand to cycle around a clock face |
10^{2} | hectosecond | hs | minutes (1 hs = 1 min 40 s = 100 s) |
2 hs (3 min 20 s): The average length of the most popular YouTube videos as of January 2017 5.55 hs (9 min 12 s): The longest videos in the above study 7.1 hs (11 m 50 s): The time for a human walking at average speed of 1.4 m/s to walk 1 kilometre |
10^{3} | kilosecond | ks | minutes, hours, days (1 ks = 16 min 40 s = 1,000 s) |
1 ks: The record confinement time for antimatter, specifically antihydrogen, in electrically neutral state as of 2011
1.8 ks: The time slot for the typical situation comedy on television with advertisements included |
10^{6} | megasecond | Ms | weeks to years (1 Ms = 11 d 13 h 46 min 40 s = 1,000,000 s) |
1.6416 Ms (19 d): The length of a "month" of the Baha'i calendar
2.36 Ms (27.32 d): The length of the true month, the orbital period of the Moon |
10^{9} | gigasecond | Gs | decades, centuries, millennia (1 Gs = over 31 years and 287 days = 1,000,000,000 s) |
1.5 Gs: Unix time as of Jul 14 02:40:00 UTC 2017. Unix time being the number of seconds since 1970-01-01T00:00:00Z ignoring leap seconds.
2.5 Gs: (79 a): The typical human life expectancy in the developed world |
10^{12} | terasecond | Ts | millennia to geological epochs (1 Ts = over 31,600 years = 1,000,000,000,000 s) |
3.1 Ts (100 ka): approximate length of a glacial period of the current Quaternary glaciation epoch
31.6 Ts (1000 ka, 1 Ma): One mega-annum (Ma), or one million years |
10^{15} | petasecond | Ps | geological eras, history of Earth and the Universe | 2 Ps: The approximate time since the Cretaceous-Paleogene extinction event, believed to be caused by the impact of a large asteroid into Chicxulub in modern-day Mexico. This extinction was one of the largest in Earth's history and marked the demise of most dinosaurs, with the only known exception being the ancestors of today's birds.
7.9 Ps (250 Ma): The approximate time since the Permian-Triassic extinction event, the actually largest known mass extinction in Earth history which wiped out 95% of all extant species and believed to have been caused by the consequences of massive long-term volcanic eruptions in the area of the Siberian Traps. Also, the approximate time to the supercontinent of Pangaea. Also, the length of one galactic year or cosmic year, the time required for the Sun to complete one orbit around the Milky Way Galaxy. |
10^{18} | exasecond | Es | future cosmological time | All times of this length and beyond are currently theoretical as they surpass the elapsed lifetime of the known universe. 1.08 Es (+34 Ga): Time to the Big Rip according to some models, but this is not favored by existing data. This is one possible scenario for the ultimate fate of the Universe. Under this scenario, dark energy increases in strength and power in a feedback loop that eventually results in the tearing apart of all matter down to subatomic scale due to the rapidly increasing negative pressure thereupon |
10^{21} | zettasecond | Zs | 3 Zs (+100 000 Ga): The remaining time until the end of Stelliferous Era of the universe under the heat death scenario for the ultimate fate of the Universe which is the most commonly-accepted model in the current scientific community. This is marked by the cooling-off of the last low-mass dwarf star to a black dwarf. After this time has elapsed, the Degenerate Era begins.
9.85 Zs (311 040 Ga): The entire lifetime of Brahma in Hindu mythology. | |
10^{24} | yottasecond | Ys | 600 Ys (2×10^{19} a): The radioactive half-life of bismuth-209 by alpha decay, one of the slowest-observed radioactive decay processes. | |
10^{27} | ronnasecond | Rs | ||
10^{30} and onward | quettasecond and beyond | Qs and on | 69 Qs (2.2×10^{24} a): The radioactive half-life of tellurium-128, the longest known half-life of any elemental isotope.
1,340,009 Qs (4.134105×10^{28} years): The time period equivalent to the value of 13.13.13.13.13.13.13.13.13.13.13.13.13.13.13.13.13.13.13.13.0.0.0.0 in the Mesoamerican Long Count, a date discovered on a stele at the Coba Maya site, believed by archaeologist Linda Schele to be the absolute value for the length of one cycle of the universe 10^{23} Qs (3.2×10^{45} years): The largest possible value for the proton half-life, assuming that the Big Bang was inflationary and that the same process that made baryons predominate over antibaryons in the early Universe also makes protons decay |
Multiples | Unit | Symbol |
---|---|---|
6×10^{1} seconds | 1 minute | min |
6×10^{1} minutes | 1 hour | h (hr) |
2.4×10^{1} hours | 1 day | d |