What is the Unit 'a.u.' and How to Convert it to SI?

In summary, the unit "a.u" typically represents the Astronomical Unit, but in this case, it is being used as an abbreviation for "arbitrary unit" in graphs representing the electromagnetic field |E|^2. However, in some journals, this abbreviation is no longer permitted to avoid confusion with the Astronomical Unit.
  • #1
El Flea
7
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Does anyone knows what this unit "a.u" means? I found it on many graphs, where "a.u" represents the unit of |E|^2 (E represents electromagnetic field). How do I convert "a.u" to SI unit?
 
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  • #2
El Flea said:
Does anyone knows what this unit "a.u" means? I found it on many graphs, where "a.u" represents the unit of |E|^2 (E represents electromagnetic field). How do I convert "a.u" to SI unit?
Are you sure that you have that right? a.u. usually refers to the Astronomical Unit, which is a measure of distance (I can't remember the exact conversion factor, but I'm sure its of the order of 109m).
 
  • #3
I suspect it means "arbitrary unit", that is, no particular unit at all. In this case those graphs are intended to show only the relative values of E^2 at different points on the graph, without regard for the overall scale.
 
  • #4
jtbell said:
I suspect it means "arbitrary unit", that is, no particular unit at all. In this case those graphs are intended to show only the relative values of E^2 at different points on the graph, without regard for the overall scale.
Well I never knew that! You learn something new every day, thanks jtbell.
 
  • #5
In many journals, such as the Phys. Rev. journals, they no longer permit the use of "a.u." abbreviation. They want those figures to at least say "arb. units" or even "arbitrary units", to avoid the confusion with Astronomical Unit.

Zz.
 
  • #6
I see. That makes sense now, thank you very much.
 

FAQ: What is the Unit 'a.u.' and How to Convert it to SI?

What is the unit 'a.u.' and how is it defined?

The unit 'a.u.' stands for atomic units and it is a system of measurement used in atomic physics. It is defined as a set of units that simplifies calculations involving the properties of atoms and molecules.

How is the unit 'a.u.' used in scientific research?

The unit 'a.u.' is commonly used in quantum mechanics and other atomic and molecular physics calculations. It is also used in chemistry, materials science, and other fields that involve the study of atoms and molecules.

What are the basic units of the 'a.u.' system?

The basic units of the 'a.u.' system are the atomic mass unit (amu) for mass, the Bohr radius for length, the electronvolt for energy, and the atomic unit of time for time.

How do you convert 'a.u.' to SI units?

To convert from 'a.u.' to SI units, you can use conversion factors for each unit. For example, to convert energy from atomic units to joules, you can use the conversion factor of 1 a.u. = 4.35974434 × 10^-18 J.

Can you provide an example of converting 'a.u.' to SI units?

Yes, an example of converting the 'a.u.' unit of length (Bohr radius) to SI units is as follows: 1 Bohr radius = 0.52917721067 Å (angstrom) 0.52917721067 Å x 1.889725989 Å = 1 a.u. Therefore, 1 a.u. = 0.52917721067 x 1.889725989 Å = 1.00000238 Å. Hence, 1 a.u. = 1.00000238 Å in SI units.

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