Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Atomic units
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
== Physical constants == [[Dimensionless physical constant]]s retain their values in any system of units. Of note is the [[fine-structure constant]] {{tmath|1= \alpha = {e^2} / {(4 \pi \epsilon_0\,\hbar c)} \approx 1/137 }}, which appears in expressions as a consequence of the choice of units. For example, the numeric value of the [[speed of light]], expressed in atomic units, is {{tmath|1= c = 1/\alpha\,\text{a.u.} \approx 137\,\text{a.u.} }}<ref name="KarplusPorter1970">{{citation |last1=Karplus |first1=Martin |last2=Porter |first2=Richard Needham |year=1970 |title=Atoms and Molecules: An Introduction for Students of Physical Chemistry |location=Netherlands |publisher=W. A. Benjamin }}</ref>{{rp|597}} {|class="wikitable" |+ Some physical constants expressed in atomic units |- !scope="col"| Name !scope="col"| Symbol/Definition !scope="col"| Value in atomic units |- | [[speed of light]] || <math>c</math> || <math>(1/\alpha) \,a_0 E_\text{h}/\hbar \approx 137 \,a_0 E_\text{h}/\hbar</math> |- | [[classical electron radius]] || <math>r_\text{e}=\frac{1}{4\pi\epsilon_0}\frac{e^2}{m_\text{e} c^2}</math> || <math>\alpha^2 \,a_0 \approx 0.0000532 \,a_0</math> |- | [[reduced Compton wavelength]]<br/> of the electron || {{math|''Ζ''{{sub|e}}}} <math>= \frac{\hbar}{m_\text{e} c}</math> || <math>\alpha \,a_0 \approx 0.007297 \,a_0</math> |- | [[proton mass]] || <math>m_\text{p}</math> || <math>\approx 1836 \,m_\text{e}</math> |- |}
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Atomic units
(section)
Add topic