This site has been originally devised as addon material for manuscript M. Kroger, O. Peleg, Y. Ding, Y. Rabin, Soft Matter 4 (2008) 18-28.

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Reduced units - online interactive tool

You have to provide three experimental quantities and
their dimensionless counterpart of a computer simulation
(using reduced units, so called for convenience)

Either you load an example from the menu just below the table, or ..
you visit the tutorial »»

name of quantity	simulated value	experimental value in S.I. units
1.)	JCu (G4)length =	× kg00 -6-5-4-3-2-10123456m10 -6-5-4-3-2-10123456s00 -6-5-4-3-2-10123456
2.)	JCu (G4)energy =	× kg10 -6-5-4-3-2-10123456m20 -6-5-4-3-2-10123456s-20 -6-5-4-3-2-10123456
3.)	JCu (G4)mass =	× kg10 -6-5-4-3-2-10123456m00 -6-5-4-3-2-10123456s00 -6-5-4-3-2-10123456

load sample data: LJu »» | JCu (G3) »» | JCu (G4) »»

Repeating your input

Entered reference unit for length: 1 JCu (G4)_length = 3.366e-09 kg⁰m¹s⁰

Entered reference unit for energy: 1 JCu (G4)_energy = 6.2129268e-21 kg¹m²s^-2

Entered reference unit for mass: 1 JCu (G4)_mass = 9.88057446455255e-23 kg¹m⁰s⁰

The main result of interest to the audience

Derived reference unit for kilogram: 1 JCu (G4)_kg = 9.88057446455254e-23 kg
Derived reference unit for meter: 1 JCu (G4)_m = 3.366e-09 m
Derived reference unit for second: 1 JCu (G4)_s = 4.2447986156124e-10 s

Applications

Get your reduced unit for an arbitrary quantity with the following physical dimension

kg^{00 -6-5-4-3-2-10123456}m^{00 -6-5-4-3-2-10123456}s^{00 -6-5-4-3-2-10123456}

Result for this application

Derived reference unit: 1 JCu (G4) = 1 kg⁰ m⁰ s⁰

Simulated (dimensionless) values have to be multiplied by this value to calculate the predicted experimental value and vice versa, experimental values have to be divided by this value to calculate the value to be expected in a useful simulation.

In practise ...

one often omits the JCu (G4) subscript because it is uniquely given by dimension of its value.

More examples based on the above table : 1 JCu (G4) =

1.66874320697343e+49 kg-1m-1s-2	7.08347885477338e+39 kg-1m-1s-1	3.00679412364617e+30 kg-1m-1s0	1.27632355334848e+21 kg-1m-1s1
5.61698963467255e+40 kg-1m0s-2	2.38429898251672e+31 kg-1m0s-1	1.0120869020193e+22 kg-1m0s0	4296105080570.97 kg-1m0s1
1.89067871103078e+32 kg-1m1s-2	8.02555037515127e+22 kg-1m1s-1	34066845121969.7 kg-1m1s0	14460.6897012019 kg-1m1s1
6.36402454132959e+23 kg-1m2s-2	270140025627592 kg-1m2s-1	114669.00068055 kg-1m2s0	4.86746815342454e-05 kg-1m2s1
1.64881415187171e+27 kg0m-1s-2	6.99888402926718e+17 kg0m-1s-1	297088532.38265 kg0m-1s0	0.126108099097219 kg0m-1s1
5.54990843520019e+18 kg0m0s-2	2355824364.25133 kg0m0s-1	1 kg0m0s0	4.2447986156124e-10 kg0m0s1
18680991792.8838 kg0m1s-2	7.92970481006997 kg0m1s-1	3.366e-09 kg0m1s0	1.42879921401513e-18 kg0m1s1
62.8802183748469 kg0m2s-2	2.66913863906955e-08 kg0m2s-1	1.1329956e-17 kg0m2s0	4.80933815437493e-27 kg0m2s1
162912.310057765 kg1m-1s-2	6.91529948199419e-05 kg1m-1s-1	2.93540536677141e-14 kg1m-1s0	1.24602046371325e-23 kg1m-1s1
0.000548362835654437 kg1m0s-2	2.32768980563924e-13 kg1m0s-1	9.88057446455254e-23 kg1m0s0	4.19410488085878e-32 kg1m0s1
1.84578930481283e-12 kg1m1s-2	7.83500388578169e-22 kg1m1s-1	3.32580136476838e-31 kg1m1s0	1.41173570289707e-40 kg1m1s1
6.2129268e-21 kg1m2s-2	2.63726230795411e-30 kg1m2s-1	1.11946473938104e-39 kg1m2s0	4.75190237595152e-49 kg1m2s1

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