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Topics: Complex Numbers

Crystallography

Crystallography

Subject: Chemistry
The crystallography branch of crystal science which deals with the arrangement and bonding of atoms in crystal solids and related to the geometric structure of crystal water with the optical properties of crystals for classical…
Polymer Electrolytes and Impedance Spectroscopy

Polymer Electrolytes and Impedance Spectroscopy

Subject: Chemistry
New batteries for car, laptops, tablet computers and mobiles are developed by Chemists. These batteries are now made from polymer electrolytes as these can offer significant performance improvements. One tool that is often used to…
Dielectric Constant of a Solution of Polar Molecules

Dielectric Constant of a Solution of Polar Molecules

Subject: Chemistry
An alternating electric field of frequency w has an electric field, E = Ec, exp(iɷτ), which varies with time τ (“tau”). Applying an alternating field to a dilute solution of polar molecules allows you to…
X-Ray Crystallography Structure Factors

X-Ray Crystallography Structure Factors

Subject: Chemistry
X-ray diffraction is a standard method of chemical analysis to determine the structure of crystalline solids. The X-rays photons are scattered from the electrons in the atoms and interfere to give bright spots, i.e. the…
Particle in A One-Dimensional Box

Particle in A One-Dimensional Box

Subject: Chemistry
Quantum effects are dominant in many areas of Chemistry and Biology. A simple system that shows how quantum effects arise is the particle in a box. The particle may be an electron, atom, ion or…
Why use Imaginary numbers and Complex Numbers?

Why use Imaginary numbers and Complex Numbers?

Subject: Chemistry
Here giving a longer than normal introduction to imaginary and complex numbers because as a student I couldn’t see why some lecturers and professors wanted to use complex numbers instead of tangents, sines and cosines…

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