Home

MarketPlace

The TECTechnics Classroom

Electron Behaviors


Overview

TECians Login

Strings (SiPjAjk) = S7P2A21     Base Sequence = 12735     String Sequence = 12735 - 2 - 21

Expressions Of Pj Problems
Electron Behaviors
Math

Pj Problems - Overview
Celestial Stars
The Number Line
Geometries
7 Spaces Of Interest - Overview
Triadic Unit Mesh
Creation
The Atom
Survival
Energy
Light
Heat
Sound
Music
Language
Stories
Work
States Of Matter
Buoyancy
Nuclear Reactions
Molecular Shapes
Electron Configurations
Chemical Bonds
Energy Conversion
Chemical Reactions
Electromagnetism
Continuity
Growth
Human-cells
Proteins
Nucleic Acids
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Vision
Walking
Behaviors
Sensors Sensings
Beauty
Faith, Love, Charity
Photosynthesis
Weather
Systems
Algorithms
Tools
Networks
Search
Differential Calculus
Antiderivative
Integral Calculus
Economies
Inflation
Markets
Money Supply
Painting

Electron Behaviors

(a) Table 22.1 highlights important concepts associated with an electron. Associate each concept with a behavior of an electron.
(b) Derive the equation for the De Broglie wavelength.

The strings: S7P2A21 (Identity - Physical Property)

The math:
Pj Problem of Interest is of type identity (physical property). Identity of electron behaviors

Electron Behaviors

(a)i Niels Bohr is credited with the postulation of energy levels in an atom. The Bohr Model of the atom assumes that electrons move in orbits around the nucleus of the atom and that each orbit has an energy associated with it. Modern quantum mechanics no longer accept this view of the motion of electrons in orbits around the nucleus. However, it retains the concept of and electron transitions from one energy level to another energy level. The absorption and emission of energy is an electron behavior associated with an electron's energy level.

(ii) Louis De Broglie is credited with the discovery of the De Broglie wavelength of the electron. It established the wave behavior of the electron.

(iii) Werner Heisenberg is credited with the discovery of the Heisenberg Uncertainty Principle. The electron moves in a manner that makes it impossible to accurately know simultaneously, its momentum and position. However, the probability of its being in a given position can be calculated.

(iv) Wolfgang Pauli is credited with the discovery of the Pauli Exclusion Principle. An electron prefers to live with no more than one other electron in an orbital (their residence). The electrons must not be exactly the same. In technical terms, an orbital can hold a maximum of two electrons and they must have opposite spins.

(v) Hund is credited with the discovery of Hund's Rule. An electron prefers an empty orbital that has not been occupied by an electron like itself so it will reside in an empty orbital before pairing up with another electron with the same spin in another orbital. In technical terms, for degenerate orbitals (subshells), the lowest energy is attained when the number of electrons with the same spin is maximized

(b) De Broglie used three equations to derive the De Broglie wavelength:
E = mc2 ---------(1) Einstein' energy equation
ν = c/λ ------(2) equation for the frequency of light
E = νh ----------(3) Planck's energy equation of a photon
E is Energy; m is mass; where ν is frequency of light, c is velocity of light; λ is wavelength of light, and h is Planck's constant.

From equation (2) λ = c/ν ---------(4)
Substituting the expression for ν in (3), in (4) we have:
λ = ch/E -----------(5)
Substituting the expression for E in (1), in (5) we have:
&lamda; = ch/mc2 = h/mc ----------(6)
De Broglie replaced velocity of light c, with velocity of the electron, v
So, the De Broglie wavelength = λ = h/mv
where m is the mass of the electron, λ the wavelength of the electron and v the velocity of the electron.

The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Single Variable Functions
Conics
Ordinary Differential Equations (ODEs)
Vector Spaces
Real Numbers
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Fourier Series
Derivation Of Heat Equation For A One-Dimensional Heat Flow


The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Periodic Table
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
More Pj Problem Strings

What is Time?
St Augustine On Time
Bergson On Time
Heidegger On Time
Kant On Time
Sagay On Time
What is Space?
Newton On Space
Space Governance
Leaders
Imperfect Leaders
Essence Of Mathematics
Toolness Of Mathematics
The Number Line
Variables
Equations
Functions
The Windflower Saga
Who Am I?
Primordial Equilibrium
Primordial Care
Force Of Being
Forgiveness

Blessed are they that have not seen, and yet have believed. John 20:29

TECTechnic Logo, Kimberlee J. Benart | © 2018 | All rights reserved | Founder and Site Programmer, Peter O. Sagay.