Planck's constant: Difference between revisions

m (1 revision imported)
m (1 revision imported)
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
[[Category:Done 2015-07-01]]  
[[Category:Done 2018-05-18]]  
<onlyinclude>'''Planck's constant''' was first discovered by Max Planck in experiments that helped lead to the formation of [[quantum mechanics]].<ref>Rod Nave Hyperphysics (2015, June 20). ''Plank hypothesis''. [Online]. Available: http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3 </ref> He formed the [http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3 Planck Hypothesis] that radiation could only come in discrete packets now called [[photon]]s.</onlyinclude> Planck's constant is usually written as ''h,'' but it's often useful to divide Planck's constant by <m>2\pi</m>, and then it is written <m>\hbar</m>, which is called h-bar:
<onlyinclude>'''Planck's constant''' was first discovered by Max Planck in experiments that helped lead to the formation of [[quantum mechanics]].<ref>Rod Nave Hyperphysics (2015, June 20). ''Plank hypothesis''. [Online]. Available: http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3 </ref> He formed the [http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3 Planck Hypothesis], stating that radiation could only come in discrete packets now called [[photon]]s.</onlyinclude> Planck's constant is usually written as ''h,'' but it's often useful to divide Planck's constant by <math>2\pi</math>, and then it is written <math>\hbar</math>, which is called h-bar:
:<m>\hbar = \frac{h}{2 \pi}.</m><ref>Rod Nave Hyperphysics (2015, June 20). ''Plank constant''. [Online]. Available: http://hyperphysics.phy-astr.gsu.edu/hbase/tables/funcon.html </ref>
:<math>\hbar = \frac{h}{2 \pi}.</math><ref>Rod Nave Hyperphysics (2015, June 20). ''Plank constant''. [Online]. Available: http://hyperphysics.phy-astr.gsu.edu/hbase/tables/funcon.html </ref>


The value of the Planck constant<ref>NIST (2015, June 20). ''Plank constant''. [Online]. Available: http://physics.nist.gov/cgi-bin/cuu/Value?h|search_for=planck</ref> is:
The value of the Planck constant<ref>NIST (2015, June 20). ''Plank constant''. [Online]. Available: http://physics.nist.gov/cgi-bin/cuu/Value?h|search_for=planck</ref> is:
:<m>h = 6.626\ 069 \times 10^{-34}</m> [[joule|J]]·[[second|s]]  <m>= 4.135\ 667\ 5\times 10^{-15}</m> [[electron volt|eV]]·[[second|s]]   
:<math>h = 6.626\ 069 \times 10^{-34}</math> [[joule|J]]·[[second|s]]  <math>= 4.135\ 667\ 5\times 10^{-15}</math> [[electron volt|eV]]·[[second|s]]   


The value<ref>NIST (2015, June 20). ''Plank constant over <m>2\pi</m>''. [Online]. Available: http://physics.nist.gov/cgi-bin/cuu/Value?hbar|search_for=h-bar</ref>  of <m>\hbar</m>:
The value<ref>NIST (2015, June 20). ''Plank constant over <math>2\pi</math>''. [Online]. Available: http://physics.nist.gov/cgi-bin/cuu/Value?hbar|search_for=h-bar</ref>  of <math>\hbar</math>:
:<m>\hbar = {{h}\over{2\pi}} = 1.054\ 571\ 726(47)\times 10^{-34}</m> [[joule|J]]·[[second|s]]  <m>= 6.582\ 119\ 28(15)\times 10^{-16}</m>[[electron volt|eV]]·[[second|s]].   
:<math>\hbar = {{h}\over{2\pi}} = 1.054\ 571\ 726(47)\times 10^{-34}</math> [[joule|J]]·[[second|s]]  <math>= 6.582\ 119\ 28(15)\times 10^{-16}</math>[[electron volt|eV]]·[[second|s]].   


To learn more about Planck's constant please see [http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3 hyperphysics].
To learn more about Planck's constant please see [http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3 hyperphysics].

Latest revision as of 22:53, 18 May 2018

Planck's constant was first discovered by Max Planck in experiments that helped lead to the formation of quantum mechanics.[1] He formed the Planck Hypothesis, stating that radiation could only come in discrete packets now called photons. Planck's constant is usually written as h, but it's often useful to divide Planck's constant by [math]2\pi[/math], and then it is written [math]\hbar[/math], which is called h-bar:

[math]\hbar = \frac{h}{2 \pi}.[/math][2]

The value of the Planck constant[3] is:

[math]h = 6.626\ 069 \times 10^{-34}[/math] J·s [math]= 4.135\ 667\ 5\times 10^{-15}[/math] eV·s

The value[4] of [math]\hbar[/math]:

[math]\hbar = {{h}\over{2\pi}} = 1.054\ 571\ 726(47)\times 10^{-34}[/math] J·s [math]= 6.582\ 119\ 28(15)\times 10^{-16}[/math]eV·s.

To learn more about Planck's constant please see hyperphysics.

References

  1. Rod Nave Hyperphysics (2015, June 20). Plank hypothesis. [Online]. Available: http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3
  2. Rod Nave Hyperphysics (2015, June 20). Plank constant. [Online]. Available: http://hyperphysics.phy-astr.gsu.edu/hbase/tables/funcon.html
  3. NIST (2015, June 20). Plank constant. [Online]. Available: http://physics.nist.gov/cgi-bin/cuu/Value?h%7Csearch_for=planck
  4. NIST (2015, June 20). Plank constant over [math]2\pi[/math]. [Online]. Available: http://physics.nist.gov/cgi-bin/cuu/Value?hbar%7Csearch_for=h-bar