Orders of magnitude (time)
This articleneeds additional citations forverification.(January 2020) |
Anorder of magnitudeof time is usually adecimalprefix or decimal order-of-magnitude quantity together with a base unit of time, like amicrosecondor amillion 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 thebase 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 megayear". Clock time and calendar time haveduodecimalorsexagesimalorders 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 thePlanck time―the time light takes to traverse thePlanck distance,many decimal orders of magnitude smaller than a second.[1]
The largest realized amount of time, based on known scientific data, is theage of the universe,about 13.8 billion years—the time since theBig Bangas measured in thecosmic microwave backgroundrest frame.[2]Those amounts of time together span 60 decimal orders of magnitude. Metric prefixes are defined spanning 10−30to 1030,60 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 lengths depend on the choice of calendar and are often not regular even with a calendar, e.g., leap years versus regular years in theGregorian calendar.This makes them problematic for use against a linear and regular time scale such as that defined by theSI,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 theannumorastronomical 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 theJulian calendar,which has oneleap yearevery four years. According to the geological science convention, this is used to form larger units of time by the application ofSI prefixesto 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
[edit]Multiple of a second |
Unit | Symbol | Definition | Comparative examples & common units |
---|---|---|---|---|
10−44 | Planck time | tP | Presumed to be the shortest theoretically measurable time interval (but not necessarily the shortestincrementof time—seequantum gravity) |
10−14qs:The length of onePlanck time(tP=≈5.39×10−44s)[3]is the briefest physically meaningful span of time. It is the unit of time in thenatural unitssystem known asPlanck units. |
10−30 | quectosecond | qs | Quectosecond,(quecto-+second), is onenonillionthof a second | |
10−27 | rontosecond | rs | Rontosecond,(ronto-+second), is oneoctillionthof a second | 300 rs:Themean lifetimeofW and Z bosons |
10−24 | yoctosecond | ys[4] | Yoctosecond,(yocto-+second), is oneseptillionthof a second | 23 ys:The lower estimated bound on thehalf-lifeofisotope 7 of hydrogen (Hydrogen-7) 143 ys:Thehalf-lifeof theNitrogen-10isotope of Nitrogen 156 ys:The mean lifetime of aHiggs Boson |
10−21 | zeptosecond | zs | Zeptosecond,(zepto-+second), is onesextillionthof one second | 1.3 zs:Smallest experimentally controlled time delay in a photon field.[5] 2 zs:The representative cycle time ofgamma rayradiation released in the decay of a radioactiveatomic nucleus(here as 2MeVper emittedphoton) 4 zs:The cycle time of thezitterbewegungof anelectron() 247 zs:The experimentally-measured travel time of a photon across a hydrogen molecule, "for the average bond length of molecular hydrogen"[6] |
10−18 | attosecond | as | One quintillionth of one second | 12 as:The best timing control of laser pulses.[7] 43 as:The shortest X-ray laser pulse[8] 53 as:The shortest electron laser pulse[9][10] |
10−15 | femtosecond | fs | One quadrillionth of one second | 1 fs:The cycle time for ultraviolet light with a wavelength of 300nanometres;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 individualbromineatoms 6Ångstromapart afterlaser dissociationof Br2.[11] 290 fs:The lifetime of atauon |
10−12 | picosecond | ps | One trillionth of one second | 1 ps:The mean lifetime of abottom quark;the time needed for light to travel 0.3 millimetres (mm) 1 ps:The typical lifetime of atransition stateone machine cycle by an IBMsilicon-germanium transistor 109 ps:The period of thephoton corresponding tothehyperfine transitionof the ground state ofcesium-133,and one 9,192,631,770th of one secondby definition 114.6 ps:The time for the fastest overclocked processor as of 2014[update]to execute one machine cycle.[12] 696 ps:How much more a second lasts far away from Earth's gravity due to the effects ofGeneral 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 amuon 4–16 μs:The time needed to execute one machine cycle by a 1960sminicomputer |
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[13] 4–8 ms:The typicalseek timefor a computer hard disk |
10−2 | centisecond | cs | One hundredth of one second | 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 10–20 cs(=0.1–0.2 s): The humanreflexresponse to visual stimuli |
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[14] |
More than one second
[edit]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 |
---|---|---|---|---|
101 | 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 |
102 | 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[15] 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 1.4m/sto walk 1 kilometre |
103 | kilosecond | ks | minutes, hours, days (1 ks= 16 min 40 s = 1,000 s) |
1 ks:The record confinement time forantimatter,specificallyantihydrogen,in electrically neutral state as of 2011;[16]1.477 ks: The longest period in which a person has not taken a breath.
1.8 ks:The time slot for the typical situation comedy on television with advertisements included 35.73 ks: the rotational period of planet Jupiter, fastest planet to rotate 38.0196 ks: rotational period of Saturn, second shortest rotational period 57.996 ks: one day on planet Neptune. 62.064 ks: one day on Uranus. |
106 | 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 theBaha'i calendar
2.36 Ms(27.32 d): The length of the true month, theorbital periodof theMoon 5.06703168 Ms: The rotational period of Mercury. 7.600544064 Ms: One year on Mercury. 19.41414912 Ms: One year on Venus. 20.9967552 Ms: The rotational period of Venus. |
109 | gigasecond | Gs | decades, centuries, millennia (1 Gs= over 31 years and 287 days = 1,000,000,000 s) |
1.5 Gs:Unix timeas 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 humanlife expectancyin thedeveloped world |
1012 | terasecond | Ts | millennia to geologicalepochs (1 Ts= over 31,600 years = 1,000,000,000,000 s) |
3.1 Ts(100 ka): approximate length of aglacial periodof the currentQuaternary glaciationepoch
31.6 Ts(1000 ka, 1 Ma): Onemega-annum(Ma), or one million years |
1015 | petasecond | Ps | geologicaleras,history of Earth and theUniverse | 2 Ps:The approximate time since theCretaceous-Paleogene extinction event,believed to be caused by the impact of a largeasteroidintoChicxulubin 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 thePermian-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-termvolcanic eruptionsin the area of theSiberian Traps.Also, the approximate time to thesupercontinentofPangaea.Also, the length of onegalactic yearorcosmic year,the time required for theSunto complete one orbit around theMilky Way Galaxy. |
1018 | 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 theBig Ripaccording to some models, but this is not favored by existing data. This is one possible scenario for theultimate fate of the Universe.Under this scenario,dark energyincreases 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 increasingnegative pressurethereupon |
1021 | zettasecond | Zs | 3 Zs(+100 Ta): The remaining time until the end ofStelliferous Eraof the universe, under theheat deathscenario for theultimate 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 ablack dwarf.After this time has elapsed, theDegenerate Erabegins.
9.85 Zs(311 Ta): The entire lifetime ofBrahmainHindu mythology. | |
1024 | yottasecond | Ys | 600 Ys(2×1019a): The radioactive half-life ofbismuth-209byalpha decay,one of the slowest-observed radioactive decay processes. | |
1027 | ronnasecond | Rs | 3.16 Rs(1×1020a): The estimated time until all stars are ejected from their galaxies or consumed by black holes.
32 Rs(1×1021a): Highest estimate of the time until all stars are ejected from galaxies or consumed by black holes. | |
1030and onward | quettasecondand beyond | Qs and on | 69 Qs(2.2×1024a): The radioactive half-life oftellurium-128,the longest known half-life of any elementalisotope.
1,340,009 Qs(4.134105×1028years): 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 theMesoamerican Long Count,a date discovered on a stele at theCobaMaya site, believed by archaeologistLinda Scheleto be the absolute value for the length of one cycle of the universe[17][18] 1023Qs(3.2×1045years): The largest possible value for theproton half-life,assuming that theBig Bangwasinflationaryand that the same process that madebaryonspredominate overantibaryonsin the early Universe also makes protons decay[20] |
Multiples | Unit | Symbol |
---|---|---|
6×101seconds | 1 minute | min |
6×101minutes | 1 hour | h(hr) |
2.4×101hours | 1 day | d |
See also
[edit]References
[edit]- ^"Planck Time | COSMOS".astronomy.swin.edu.au.Retrieved12 October2021.
- ^"WMAP- Age of the Universe".wmap.gsfc.nasa.gov.Retrieved12 October2021.
- ^"CODATA Value: Planck time".The NIST Reference on Constants, Units, and Uncertainty.NIST.Retrieved1 October2011.
- ^The American Heritage Dictionary of the English Language: Fourth Edition. 2000. Available at:http://www.bartleby.com/61/21/Y0022100.htmlArchived10 March 2008 at theWayback Machine.Accessed 19 December 2007.note:abbr. ys or ysec
- ^Bocklage, Lars; et al. (29 January 2021)."Coherent control of collective nuclear quantum states via transient magnons".Science Science Advances.7:eabc3991.doi:10.1126/sciadv.abc3991.PMC7846183.PMID33514541.Retrieved19 April2023.
- ^Grundmann, Sven; Trabert, Daniel; et al. (16 October 2020)."Zeptosecond birth time delay in molecular photoionization".Science.370(6514): 339–341.arXiv:2010.08298.Bibcode:2020Sci...370..339G.doi:10.1126/science.abb9318.PMID33060359.S2CID222412229.Retrieved17 October2020.
- ^"12 attoseconds is the world record for shortest controllable time".phys.org.
- ^Gaumnitz, Thomas; Jain, Arohi; Pertot, Yoann; Huppert, Martin; Jordan, Inga; Ardana-Lamas, Fernando; Wörner, Hans Jakob (2017)."Streaking of 43-attosecond soft-X-ray pulses generated by a passively CEP-stable mid-infrared driver".Optics Express.25(22): 27506–27518.Bibcode:2017OExpr..2527506G.doi:10.1364/OE.25.027506.hdl:20.500.11850/211882.PMID29092222.
- ^Kim, H. Y.; Garg, M.; Mandal, S.; Seiffert, L.; Fennel, T.; Goulielmakis, E. (January 2023)."Attosecond field emission".Nature.613(7945): 662–666.doi:10.1038/s41586-022-05577-1.ISSN1476-4687.PMC9876796.
- ^"Attosecond electron pulses are claimed as shortest ever".Physics World.17 February 2023.Retrieved17 February2023.
- ^Li, Wen; et al. (23 November 2010)."Visualizing electron rearrangement in space and time during the transition from a molecule to atoms".PNAS.107(47): 20219–20222.Bibcode:2010PNAS..10720219L.doi:10.1073/pnas.1014723107.PMC2996685.PMID21059945.
- ^Chiappetta, Marco (23 September 2011)."AMD Breaks 8 GHz Overclock with Upcoming FX Processor, Sets World Record. The record has been surpassed with 8794 MHz of overclocking with AMD FX 8350".HotHardware. Archived fromthe originalon 10 March 2015.Retrieved28 April2012.
- ^"Notebook".www.noteaccess.com.
- ^Eric H. Chudler."Brain Facts and Figures: Sensory Apparatus: Vision".Retrieved10 October2011.
- ^"YouTube Statistics and Your Best Video Length for Different Videos".Video Production Washington DC - MiniMatters.11 March 2014.
- ^Alpha Collaboration; Andresen, G. B.; Ashkezari, M. D.; Baquero-Ruiz, M.; Bertsche, W.; Bowe, P. D.; Butler, E.; Cesar, C. L.; Charlton, M.; Deller, A.; Eriksson, S.; Fajans, J.; Friesen, T.; Fujiwara, M. C.; Gill, D. R.; Gutierrez, A.; Hangst, J. S.; Hardy, W. N.; Hayano, R. S.; Hayden, M. E.; Humphries, A. J.; Hydomako, R.; Jonsell, S.; Kemp, S. L.; Kurchaninov, L.; Madsen, N.; Menary, S.; Nolan, P.; Olchanski, K.; et al. (5 June 2011). "Confinement of antihydrogen for 1,000 seconds".Nature Physics.7(7): 558–564.arXiv:1104.4982.Bibcode:2011NatPh...7..558A.doi:10.1038/nphys2025.S2CID17151882.
- ^Falk, Dan (2013).In search of time the science of a curious dimension.New York: St. Martin's Press.ISBN978-1429987868.
- ^G. Jeffrey MacDonald"Does Maya calendar predict 2012 apocalypse?"USA Today27 March 2007.
- ^
Nishino, H.et al.(Super-K Collaboration) (2009). "Search for Proton Decay via
p+
→
e+
π0
and
p+
→
μ+
π0
in a Large Water Cherenkov Detector ".Physical Review Letters.102(14): 141801.arXiv:0903.0676.Bibcode:2009PhRvL.102n1801N.doi:10.1103/PhysRevLett.102.141801.PMID19392425.S2CID32385768. - ^Adams, Fred C.; Laughlin, Gregory (1 April 1997). "A dying universe: the long-term fate and evolution of astrophysical objects".Reviews of Modern Physics.69(2): 337–372.arXiv:astro-ph/9701131.Bibcode:1997RvMP...69..337A.doi:10.1103/revmodphys.69.337.ISSN0034-6861.S2CID12173790.
- ^abcPage, Don N. (15 January 1976). "Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole".Physical Review D.13(2). American Physical Society (APS): 198–206.Bibcode:1976PhRvD..13..198P.doi:10.1103/physrevd.13.198.ISSN0556-2821.See in particular equation (27).
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External links
[edit]- Exploring TimefromPlanck timeto the lifespan of the universe