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Orders of magnitude (time)

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[edit] Seconds

Orders of magnitude (time)
Factor (s) Multiple Symbol Definition Comparative examples & common units Orders of magnitude
10−44 tP Planck time is the unit of time of the natural units system known as Planck units. Planck time = \sqrt{\hbar G/c^5}\approx 5.4 \times 10^{-44} \text{ s}. 10−44 s
10−24 1 yoctosecond ys[1] Yoctosecond, (yocto- + second), is one quadrillionth (in the long scale) or one septillionth (in the short scale) of a second. 0.3 ys: mean life of the W and Z bosons.[2][3][a]
0.5 ys: time for top quark decay, according to the Standard Model.
1 ys: time taken for a quark to emit a gluon.
23 ys: half-life of 7H.
1 ys and less, 10 ys, 100 ys
10−21 1 zeptosecond zs Zeptosecond, (zepto- + second), is one sixtillionth of one second (short scale). 7 zs: half-life of helium-9's outer neutron in the second nuclear halo.
17 zs: approximate period of electromagnetic radiation at the boundary between gamma rays and X-rays.
300 zs: approximate typical cycle time of X-rays, on the boundary between hard and soft X-rays.
500 zs: current resolution of tools used to measure speed of chemical bonding[4]
1 zs, 10 zs, 100 zs
10−18 1 attosecond as One quintillionth of one second 12 attoseconds: shortest measured period of time.[5] 1 as, 10 as, 100 as
10−15 1 femtosecond fs One quadrillionth of one second cycle time for 390 nanometre light, transition from visible light to ultraviolet 1 fs, 10 fs, 100 fs
10−12 1 picosecond ps One trillionth of one second 1 ps: half-life of a bottom quark
4 ps: Time to execute one machine cycle by an IBM Silicon-Germanium transistor
1 ps, 10 ps, 100 ps
10−9 1 nanosecond ns One billionth of one second 1 ns: Time to execute one machine cycle by a 1 GHz microprocessor
1 ns: Light travels 12 inches (30 cm)
1 ns, 10 ns, 100 ns
10−6 1 microsecond µs One millionth of one second sometimes also abbreviated µsec
1 µs: Time to execute one machine cycle by an Intel 80186 microprocessor
4–16 µs: Time to execute one machine cycle by a 1960s minicomputer
1 µs, 10 µs, 100 µs
10−3 1 millisecond ms One thousandth of one second 4–8 ms: typical seek time for a computer hard disk
50–80 ms: Blink of an eye
150–300 ms: Human reflex response to visual stimuli
1 ms, 10 ms, 100 ms
100 1 second s 1 s: 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.[6]

60 s: 1 minute

1 s, 10 s, 100 s
103 1 kilosecond
(16.7 minutes)
ks 3.6 ks: 3600 s or 1 hour
86.4 ks: 86 400 s or 1 day
604.8 ks: 1 week
103 s, 104 s, 105 s
106 1 megasecond
(11.6 days)
Ms

2.6 Ms: approximately 1 month
31.6 Ms: approximately 1 year ≈ 107.50 s

106 s, 107 s, 108 s
109 1 gigasecond
(32 years)
Gs

2.1 Gs: average human life expectancy at birth (2011 estimate)[7]
3.16 Gs: approximately 1 century
31.6 Gs: approximately 1 millennium

109 s, 1010 s, 1011 s
1012 1 terasecond
(32 000 years)
Ts 1012 s, 1013 s, 1014 s
1015 1 petasecond
(32 million years)
Ps 7.1–7.9 Ps: 1 galactic year[8]

143 Ps: the age of the Earth[9][10][11]
144 Ps: the approximate age of the Solar system[12] and the Sun.[13]
430 Ps: the approximate age of the Universe

1015 s, 1016 s, 1017 s
1018 1 exasecond
(32 billion years)
Es 1018 s, 1019 s, 1020 s
1021 1 zettasecond
(32 trillion years)
Zs 1021 s, 1022 s, 1023 s
1024 1 yottasecond
(32 quadrillion years)
Ys 1024 s, 1025 s, 1026 s and more

[edit] See also

[edit] Years

Orders of magnitude (time)
Factor (a) Multiple common units orders of magnitude
10−50 Planck time, the shortest physically meaningful interval of time ≈ 1.71×10−50 a 10−50 a
10−24 1 yoctoannum -- 1 ya and less, 10 ya, 100 ya
10−21 1 zeptoannum -- 1 za, 10 za, 100 za
10−18 1 attoannum -- 1 aa, 10 aa, 100 aa
10−15 1 femtoannum -- 1 fa, 10 fa, 100 fa
10−12 1 picoannum -- 1 pa, 10 pa, 100 pa
10−9 1 nanoannum 1 second = 3.17 × 10−8 a ≈ 10-7.50 a 1 na, 10 na, 100 na
10−6 1 microannum 1 minute = 1.90 × 10−6 a
1 hour = 1.40 × 10−4 a
1 ua, 10 ua, 100 ua
10−3 1 milliannum 1 day = 2.73 × 10−3 a
1 week = 1.91 × 10−2 a
1 ma, 10 ma, 100 ma
100 1 annum 1 average year = 1 annum (= 365.24219 SI days)
decade = 10 anna
century = 100 anna
1 a, 10 a, 100 a
103 1 kiloannum millennium = 1000 anna 103 a, 104 a, 105 a
106 1 megaannum epoch = 1,000,000 anna 106 a, 107 a, 108 a
109 1 gigaannum aeon = 1,000,000,000 anna
13.7 Ga = 1.37×1010 a ≈ 13.7 billion years, the approximate age of the Universe
109 a, 1010 a, 1011 a
1012 1 teraannum --- 1012 a, 1013 a, 1014 a
1015 1 petaannum --- 1015 a, 1016 a, 1017 a
1018 1 exaannum -- 1018 a, 1019 a, 1020 a
1021 1 zettaannum -- 1021 a, 1022 a, 1023 a
1024 1 yottaannum -- 1024 a, 1025 a, 1026 and more

The pages linked in the right-hand column contain lists of times that are of the same order of magnitude (power of ten). Rows in the table represent increasing powers of a thousand (3 orders of magnitude).

Conversion from year to second is year × 31 557 600 using the Julian year. Conversion from log10 year to log10 second is approximately log10 year + 7.50. Example conversion; 1 year = 100 year = 100 + 7.50 seconds = 100.50 + 7s = 3.16 * 107s.

[edit] See also

[edit] Footnotes

  1. ^ The American Heritage Dictionary of the English Language: Fourth Edition. 2000. Available at: http://www.bartleby.com/61/21/Y0022100.html. Accessed December 19, 2007. note: abbr. ys or ysec
  2. ^ C. Amsler et al. (2009): Particle listings – W boson
  3. ^ C. Amsler et al. (2009): Particle listings – Z boson
  4. ^ esciencenews (2010)
  5. ^ "12 attoseconds is the world record for shortest controllable time". http://www.physorg.com/news192909576.html. 
  6. ^ http://tycho.usno.navy.mil/leapsec.html
  7. ^ CIA - The World Factbook -- Rank Order - Life expectancy at birth
  8. ^ Leong, Stacy (2002). "Period of the Sun's Orbit around the Galaxy (Cosmic Year)". The Physics Factbook. http://hypertextbook.com/facts/2002/StacyLeong.shtml. 
  9. ^ "Age of the Earth". U.S. Geological Survey. 1997. http://pubs.usgs.gov/gip/geotime/age.html. Retrieved 2006-01-10. 
  10. ^ Dalrymple, G. Brent (2001). "The age of the Earth in the twentieth century: a problem (mostly) solved". Special Publications, Geological Society of London 190 (1): 205–221. doi:10.1144/GSL.SP.2001.190.01.14. 
  11. ^ Manhesa, Gérard; Allègrea, Claude J.; Dupréa, Bernard; and Hamelin, Bruno (1980). "Lead isotope study of basic-ultrabasic layered complexes: Speculations about the age of the earth and primitive mantle characteristics". Earth and Planetary Science Letters, Elsevier B.V. 47 (3): 370–382. doi:10.1016/0012-821X(80)90024-2. 
  12. ^ Bouvier, Audrey and Meenakshi Wadhwa, “The age of the solar system redefined by the oldest Pb-Pb age of a meteoritic inclusion”. Nature Geoscience, Nature Publishing Group, a division of Macmillan Publishers Limited. Published online 2010-08-22, retrieved 2010-08-26, doi: 10.1038/NGEO941.
  13. ^ Bonanno, A.; Schlattl, H.; Paternò, L. (2008). "The age of the Sun and the relativistic corrections in the EOS". Astronomy and Astrophysics 390 (3): 1115–1118. arXiv:astro-ph/0204331. Bibcode 2002A&A...390.1115B. doi:10.1051/0004-6361:20020749. 

[a] ^ PDG reports the resonance width (Γ). Here the conversion τ = ħΓ is given instead.

[edit] External links

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