Orders of magnitude (time)
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![]() | The English used in this article or section may not be easy for everybody to understand. (September 2011) |
An order of magnitude describes the link between two amounts. The difference between each step is usually 10, with each order being either 10 times greater or 10 times smaller than the next amount. This makes the scale easy to manipulate using logarithms. For time, the difference between the smallest limit of time, the Planck time, and the next order of magnitude is larger than 10.
Seconds[change | change source]
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. | The shortest length of time that can be described by physics. ≈ 5.4×10−44 s. (≈ meaning about) | 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.[source?] 1 ys: time for top quark decay.[source?] 1 ys: time taken for a quark to emit a gluon. 91 ys: half-life of lithium-4.[source?] |
1 ys and less, 10 ys, 100 ys |
10−21 | 1 zeptosecond | zs | Zeptosecond, (zepto + second), is one trillionth of one billionth of one second. | 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 |
1 zs, 10 zs, 100 zs |
10−18 | 1 attosecond | as | Attosecond is one quintillionth of a second | 100 attoseconds: shortest measured period of time.[2][3] | 1 as, 10 as, 100 as |
10−15 | 1 femtosecond | fs | Femtosecond is one quadrillionth of a second. | cycle time for 390 nanometre light, transition from visible light to ultraviolet | 1 fs, 10 fs, 100 fs |
10−12 | 1 picosecond | ps | Picosecond is one trillionth of a second. | 1 ps: half-life of a bottom quark 4 ps: Time to execute one machine cycle by an IBM Silicon-Germanium transistor (supercomputer) |
1 ps, 10 ps, 100 ps |
10−9 | 1 nanosecond | ns | Nanosecond is one billionth of a second. | 1 ns: Time to execute one machine cycle by an Intel Pentium 4 1 GHz microprocessor 1 ns: Light travels 12 inches (30 cm) 1,000,000,000 nanoseconds: 1 second |
1 ns, 10 ns, 100 ns |
10−6 | 1 microsecond | µs | Microsecond is one millionth of a 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 an older minicomputer |
1 µs, 10 µs, 100 µs |
10−3 | 1 millisecond | ms | Millisecond is one thousandth of a second. | 50-80 ms: The time taken to blink an eye | 1 ms, 10 ms, 100 ms |
10−2 | 1 centisecond | cs | Centisecond is one hundredth of a second. | ||
100 | 1 second | s | 1 s: "One Mississippi" said aloud 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 | month = 2.6 x 106 s year = 31.6 Ms = 107.50 s ≈ π x 107 s |
106 s, 107 s, 108 s | |
109 | 1 gigasecond (32 years) |
Gs | century = 3.16 Gs ≈ π×109 s millennium = 31.6 Gs ≈ π×1010 s |
109 s, 1010 s, 1011 s | |
1012 | 1 terasecond (32 000 years) |
Ts | eon = 31.6 Ts ≈ π×1013 s | 1012 s, 1013 s, 1014 s | |
1015 | 1 petasecond (32 million years) |
Ps | aeon = 31.6 Ps ≈ π×1016 s 435 Ps = 4.35×1017 s ≈ 13.8 billion years, the approximate age of the Universe |
1015 s, 1016 s, 1017 s | |
1018 | 1 exasecond (32 billion years) |
Es | 0.43 Es ≈ the best estimate of the age of the Universe | 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 |
Years[change | change source]
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 | year = 1 annum 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 |
References[change | change source]
- ↑ The American Heritage Dictionary of the English Language: Fourth Edition. 2000. Available at: http://www.bartleby.com/61/21/Y0022100.html Archived 2008-03-10 at the Wayback Machine. Accessed December 19, 2007. note: abbr. ys or ysec
- ↑ "Shortest time interval measured". BBC News. 25 February 2004.
- ↑ "Fastest view of molecular motion". BBC News. 4 March 2006.