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.)	LJulength =	× kg00 -6-5-4-3-2-10123456m10 -6-5-4-3-2-10123456s00 -6-5-4-3-2-10123456
2.)	LJuenergy =	× kg10 -6-5-4-3-2-10123456m20 -6-5-4-3-2-10123456s-20 -6-5-4-3-2-10123456
3.)	LJumass =	× 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 LJu_length = 1.95e-10 kg⁰m¹s⁰

Entered reference unit for energy: 1 LJu_energy = 3.1064634e-21 kg¹m²s^-2

Entered reference unit for mass: 1 LJu_mass = 4.64884608998838e-26 kg¹m⁰s⁰

The main result of interest to the audience

Derived reference unit for kilogram: 1 LJu_kg = 4.64884608998838e-26 kg
Derived reference unit for meter: 1 LJu_m = 1.95e-10 m
Derived reference unit for second: 1 LJu_s = 7.54352049933348e-13 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 LJu = 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 LJu subscript because it is uniquely given by dimension of its value.

More examples based on the above table : 1 LJu =

1.93852796618384e+59 kg-1m-1s-2	1.4623325451439e+47 kg-1m-1s-1	1.10311355311355e+35 kg-1m-1s0	8.32135970100467e+22 kg-1m-1s1
3.78012953405849e+49 kg-1m0s-2	2.85154846303061e+37 kg-1m0s-1	2.15107142857143e+25 kg-1m0s0	16226651416959.1 kg-1m0s1
7.37125259141406e+39 kg-1m1s-2	5.5605195029097e+27 kg-1m1s-1	4194589285714288 kg-1m1s0	3164.19702630703 kg-1m1s1
1.43739425532574e+30 kg-1m2s-2	1.08430130306739e+18 kg-1m2s-1	817944.910714287 kg-1m2s0	6.17018420129871e-07 kg-1m2s1
9.01191815592686e+33 kg0m-1s-2	6.79815893475498e+21 kg0m-1s-1	5128205128.20512 kg0m-1s0	0.00386847205094024 kg0m-1s1
1.75732404040574e+24 kg0m0s-2	1325640992277.22 kg0m0s-1	1 kg0m0s0	7.54352049933348e-13 kg0m0s1
342678187879120 kg0m1s-2	258.499993494059 kg0m1s-1	1.95e-10 kg0m1s0	1.47098649737003e-22 kg0m1s1
66822.2466364284 kg0m2s-2	5.04074987313415e-08 kg0m2s-1	3.80250000000001e-20 kg0m2s0	2.86842366987156e-32 kg0m2s1
418950204.824759 kg1m-1s-2	0.000316035945829553 kg1m-1s-1	2.38402363589147e-16 kg1m-1s0	1.79839311682429e-28 kg1m-1s1
0.081695289940828 kg1m0s-2	6.16270094367628e-14 kg1m0s-1	4.64884608998838e-26 kg1m0s0	3.50686657780736e-38 kg1m0s1
1.59305815384615e-11 kg1m1s-2	1.20172668401688e-23 kg1m1s-1	9.06524987547735e-36 kg1m1s0	6.83838982672436e-48 kg1m1s1
3.10646339999999e-21 kg1m2s-2	2.34336703383291e-33 kg1m2s-1	1.76772372571808e-45 kg1m2s0	1.33348601621125e-57 kg1m2s1

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