Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

DimensionalAnalysis

Guides

  • Dimensional Analysis

Symbols

  • CanonicalDimensionalProduct
  • ISQConformantQuantityQ
  • PhysicalQuantityData
  • PhysicalQuantityDimensions
  • QuantityUnitStrings
  • SIConformantQuantityQ
  • UnitSystemTransform
PeterBurbery`DimensionalAnalysis`
UnitSystemTransform
​
UnitSystemTransform[quantity,unitsystem]
transforms
quantity
into a product of combinations of the basis quantities of
unitsystem
.
​
Details and Options

Examples  
(3)
Basic Examples  
(2)
Convert to the Planck unit system:
In[1]:=
UnitSystemTransform
[
J
,"PlanckUnits"]
Out[1]=

5.112×
-10
10
m
P
2
l
P
/
2
t
P

In[2]:=
UnitSystemTransform

100
EW
,"PlanckUnits"
Out[2]=

2.756×
-33
10
m
P
2
l
P
/
3
t
P

​
Convert to a set of natural units:
In[1]:=
UnitSystemTransform
[
7
Wb
,"NaturalUnits"]
Out[1]=

4.243×
15
10
m
P
l
P
R
K
/
t
P

Convert to the SI defining constants:
In[2]:=
UnitSystemTransform
[
7
Wb
,"SIDefiningConstants"]
Out[2]=

10681177560000000000000
6310543
h
/
e

Convert to Stoney units:
In[3]:=
UnitSystemTransform
[
Pa
J
,"StoneyUnits"]
Out[3]=

6.017×
-116
10
2
m
S
λ
S
/
4
t
S

Convert to a custom combination of quantities:
In[4]:=
UnitSystemTransform

7
Wb
,
G
,
ℏ
,
R
K
,
c
,
k

Out[4]=

10681177560000000000000
2π
6310543
ℏ
R
K

Find multiple equivalent forms:
In[5]:=
UnitSystemTransform

7
Wb
,
G
,
ℏ
,
R
K
,
c
,
k
,
K
J
,
R
∞

Out[5]=

21362355120000000000000
6310543
/
K
J
,
10681177560000000000000
2π
6310543
ℏ
R
K
,
10681177560000000000000π
6310543
K
J
ℏ
R
K
,
7.525×
-13
10
3/2
c
R
K
/(
R
∞
G
)
,
2.3921×
43
10
R
∞
G
ℏ
R
K
/
3/2
c
,
1.9086×
43
10
R
∞
G
ℏ
/(
K
J
3/2
c
)
,
1.5229×
43
10
R
∞
G
/(
2
K
J
3/2
c
R
K
)

Possible Issues  
(1)

SeeAlso
"XXXX"
RelatedGuides
▪
Dimensional Analysis
""

© 2025 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com