De Broglie Wavelength - Revision history

NRJC: /* Formula */

2024-05-23T14:39:05Z

‎Formula

NRJC: /* Formula */

2024-05-23T14:38:33Z

‎Formula

NRJC at 14:38, 23 May 2024

2024-05-23T14:38:10Z

NRJC: /* Key Stage 5 */

2024-05-23T14:32:14Z

‎Key Stage 5

NRJC: Created page with "==Key Stage 5== ===Meaning=== The de Broglie wavelength is the wavelength associated with a particle and is inversely proportional to its momentum, demonstrating the w..."

2024-05-23T14:30:39Z

Created page with "==Key Stage 5== ===Meaning=== The de Broglie wavelength is the wavelength associated with a particle and is inversely proportional to its momentum, demonstrating the w..."

New page

==Key Stage 5==
===Meaning===
The [[de Broglie wavelength]] is the [[wavelength]] associated with a particle and is inversely proportional to its momentum, demonstrating the wave-like nature of matter.

===About de Broglie Wavelength===

Given by the formula
𝜆
=
ℎ
𝑝
λ=
p
h

, where
𝜆
λ is the wavelength,
ℎ
h is the [[Planck constant]], and
𝑝
p is the momentum.
Suggests that [[particle]]s such as [[electron]]s have [[wave]] properties.
Confirmed by experiments such as electron diffraction through a crystal.
Fundamental to the development of quantum mechanics.
The concept applies to all particles, including macroscopic objects, but the [[wavelength]] is significant only for very small [[particle]]s like [[electron]]s.

===Formula===
:<math>~ E= h \nu , \qquad </math> <math>~c= \lambda \nu , \qquad </math> <math>~ E= \frac {hc} {\lambda} = pc, \qquad </math>

===Examples===

Electrons showing diffraction patterns when passing through a thin crystal.
The de Broglie [[wavelength]] of a moving car is extremely small and not observable.

← Older revision		Revision as of 14:39, 23 May 2024
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	*<math>\lambda = \frac {h} {mv}</math>		*<math>\lambda = \frac {h} {mv}</math>
−

	Where:		Where:

@@ Line 13: / Line 13: @@
 The '''de Broglie Wavelength''' of an [[object]] is given by the formula:
-:<math>\lambda = \frac {h} {𝑝}</math>
+*<math>\lambda = \frac {h} {𝑝}</math>
-:<math>\lambda = \frac {h} {mv}</math>
+*<math>\lambda = \frac {h} {mv}</math>

@@ Line 1: / Line 1: @@
 ==Key Stage 5==
 ===Meaning===
-The [[de Broglie wavelength]] is the [[wavelength]] associated with a particle and is inversely proportional to its momentum, demonstrating the wave-like nature of matter.
+The '''de Broglie wavelength''' is the [[wavelength]] associated with a [[particle]] (an object with mass) and is [[Inversely Proportional|inversely proportional]] to its [[momentum]], demonstrating the Wave-Particle Duality|wave-like nature]] of [[matter]].
 ===About de Broglie Wavelength===
-  , where
+Where:
-===Formula===
+𝜆 is the '''de Broglie''' [[wavelength]],
-The '''de Broglie Wavelength''' of an [[object]] is given by the formula:
+m is the [[mass]] of the [[object]]
-:<math>~ \lambda = \frac {h} {mv}. </math>
+v is the [[velocity]] of the [[object]]
 ===Examples===
-Electrons showing diffraction patterns when passing through a thin crystal.
+*[[Electron]]s showing diffraction patterns when passing through a thin crystal.
-The de Broglie [[wavelength]] of a moving car is extremely small and not observable.
+*The '''de Broglie wavelength''' of a moving car is extremely small and not observable.