Hydrogenic radial function: Difference between revisions

Latest revision as of 19:09, 12 January 2017

ns type Hydrogen radial wave functions
$n$	$R(r)$
$1$	$2\alpha ^{3/2}\exp(-\alpha r)$
$2$	${\frac {1}{2{\sqrt {2}}}}\alpha ^{3/2}(2-\alpha r)\exp(-\alpha r/2)$
$3$	${\sqrt {\frac {4}{27}}}\alpha ^{3/2}(1-2\alpha r/3+2\alpha ^{2}r^{2}/27)\exp(-\alpha r/3)$

@@ Line 1: / Line 1: @@
 {| border="1" cellspacing="0" cellpadding="5"
-| n || ''R(r)''
+|+''n''s type Hydrogen radial wave functions
+! <math>n</math>
+! <math>R(r)</math>
 |-
-| 1     || <math>2\alpha^{3/2}\exp(-\alpha r)</math>
+| <math>1</math> || <math>2\alpha^{3/2}\exp(-\alpha r)</math>
 |-
-| 2     || dxy
+| <math>2</math> || <math>\frac{1}{2\sqrt 2}\alpha^{3/2}(2-\alpha r)\exp(-\alpha r /2)</math>
 |-
-| 3     || fy(3x2-y2)
+| <math>3</math> || <math>{\sqrt \frac{4}{27}}\alpha^{3/2}(1-2\alpha r/3+2\alpha^2 r^2/27)\exp(-\alpha r /3)</math>
 |}