File:RutherfordConcentrated.png

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

RutherfordConcentrated.png (640 × 480 pixels, file size: 30 KB, MIME type: image/png)

Captions

Captions

Simple potential energy diagram for Rutherford atomic model illustrating concentration at nucleus.

Summary

[edit]
Description
English: Simple potential energy diagram for Rutherford atomic model illustrating concentration at nucleus.
Date
Source Own work
Author Johnjbarton
PNG development
InfoField
 
This plot was created with Matplotlib.
Source code
InfoField

Python code

import matplotlib.pyplot as plt
import numpy as np

# Potential energy from Rutherford's 1911 paper.
# V(r) = Ne(1/r - 3/2R + r^2/2R^3)
# Note:
# V(R) = Ne(1/R - 3/2R + 1/2R) = 0
# V(0) -> Ne (1/r) 

# Units of b = 2NeE/mv^2
b = 1
R = 10000*b
rs = np.linspace(R, b, 500)
nrs = np.linspace(-b, -R, 500)
rs = np.concatenate([rs,nrs])
Vs = [(1/np.absolute(r) - 3/(2*R) + r*r/(2*R*R*R)) for r in rs]

fig, ax = plt.subplots()
ax.plot(rs, Vs)

t = ax.text(-R/2, 0.5, "Atomic radius",
            ha="center", va="center",  size=18,
            bbox=dict(boxstyle="darrow,pad=0.3",
                      fc="white", ec="steelblue", lw=2))
t2 = ax.text(R/2, 0.5, "Incoming kinetic energy",
            ha="center", va="center",  size=17,rotation=90,
            bbox=dict(boxstyle="darrow,pad=0.3",
                      fc="white", ec="steelblue", lw=2))

ax.set(xlabel='r/b', ylabel='$V(r)/E_{in}$',
       title='Highly concentrated Rutherford atom potential')
fig.savefig("RutherfordConcentrated.png")
plt.show()

Licensing

[edit]
I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current23:01, 24 June 2024Thumbnail for version as of 23:01, 24 June 2024640 × 480 (30 KB)Johnjbarton (talk | contribs)Uploaded own work with UploadWizard

You cannot overwrite this file.

There are no pages that use this file.

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:RutherfordConcentrated.png&oldid=887586198"