Function Repository Resource:

StoneyUnitConversion

Source Notebook

Convert a quantity into Stoney natural units

Contributed by: Peter Burbery

ResourceFunction["StoneyUnitConversion"][quantity]

attempts to convert the specified quantity to Stoney units.

Stoney units are based on the fundamental constants of the speed of light c, the coulomb constant 𝒦e, the gravitational constant G and the elementary charge .
Stoney UnitDefinitionValue in SI Base Units
Length1.3807*10-36m
Mass1.8592*10-9kg
Time4.6054*10-45s
Electric CurrentIS=1.602176634*10-19C
ResourceFunction["StoneyUnitConversion"] will output a unit in Stoney natural units (Stoney time, length, mass and electric current).
The input quantity must be a quantity such as Quantity[49,"Meters"] or Quantity["Meters"].

Examples

Basic Examples (1) 

Find how many Stoney units 8103 farads are equal to and the dimensions:

In[1]:=
ResourceFunction["StoneyUnitConversion"][Quantity[8103, "Farads"]]
Out[1]=
In[2]:=
QuantityUnit[
 ResourceFunction["StoneyUnitConversion"][Quantity[8103, "Farads"]]]
Out[2]=

StoneyUnitConversion threads over lists:

In[3]:=
ResourceFunction[
 "StoneyUnitConversion"][{Quantity[1, "BohrRadius"], Quantity[2, "Picograms"], Quantity[3, "Microseconds"]}]
Out[3]=

StoneyUnitConversion accepts QuantityArray arguments:

In[4]:=
ResourceFunction["StoneyUnitConversion"][
 QuantityArray[{2.3, 1.5, 9.0}, "Angstroms"]]
Out[4]=

Express some fundamental constants in Stoney units:

In[5]:=
ResourceFunction[
 "StoneyUnitConversion"][{Quantity["BoltzmannConstant"], Quantity["GravitationalConstant"], Quantity["ReducedPlanckConstant"], Quantity["SpeedOfLight"], Quantity["CoulombConstant"], Quantity["ElementaryCharge"]}]
Out[5]=

Publisher

Peter Burbery

Version History

  • 1.0.0 – 19 April 2022

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