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Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

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.

Details

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 ℯ.
Stoney UnitDefinitionValue in SI Base Units
LengthImage1.3807*10-36m
MassImage1.8592*10-9kg
TimeImage4.6054*10-45s
Electric CurrentIS=ℯ1.602176634*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]=
Image
In[2]:=
QuantityUnit[ ResourceFunction["StoneyUnitConversion"][Quantity[8103, "Farads"]]]
Out[2]=
Image

Scope (2) 

StoneyUnitConversion threads over lists:

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

StoneyUnitConversion accepts QuantityArray arguments:

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

Applications (1) 

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]=
Image

Publisher

Peter Burbery

Version History

  • 1.0.0 – 19 April 2022

Related Resources

License Information