Fundamentals of Photophysics and Infrared Spectroscopy

1. Principles of Infrared (IR) Spectroscopy

Infrared (IR) spectroscopy is an analytical technique used to determine the functional groups present within a molecule. When a molecule is exposed to infrared radiation, it absorbs specific frequencies that match its natural molecular vibrations, causing quantized transitions between vibrational energy levels.

The IR region of the electromagnetic spectrum useful for organic chemistry typically spans wavenumbers from 4000 cm⁻¹ to 400 cm⁻¹. Wavenumber

Read More

Principles of Membrane Separation and Adsorption Processes

Membrane Separation Processes

Gel Polarisation Model in Ultrafiltration

During ultrafiltration, retained solutes accumulate at the membrane surface, forming a concentration polarisation layer. When solute concentration reaches a limiting value (gel concentration, Cg), a gel layer forms, acting as a secondary resistance. The permeate flux is given by: J = k · ln(Cg / Cb), where k is the mass transfer coefficient. Beyond a critical pressure, flux becomes pressure-independent. Flux can be improved by

Read More

Essential Organic Reactions and Stereochemistry Principles

Claisen-Schmidt Reaction

Introduction: The Claisen-Schmidt reaction is a crossed aldol condensation between an aromatic aldehyde and an aldehyde or ketone containing α-hydrogen in the presence of a base to form α,β-unsaturated carbonyl compounds.

Reagents

  • Aromatic Aldehyde
  • Aldehyde or Ketone containing α-hydrogen
  • Sodium Hydroxide (NaOH) or Potassium Hydroxide (KOH)

Mechanism

  1. Formation of enolate ion from ketone.
  2. Nucleophilic attack on aldehyde carbonyl carbon.
  3. Formation of β-hydroxy carbonyl compound.
Read More

Mechanical Advantage and Chemical Properties

Understanding the Three Classes of Levers

Levers are simple machines used to gain mechanical advantage.

First-Class Levers

7LpK4QAAAAZJREFUAwCXm1FmYMJNGgAAAABJRU5ErkJggg==

First-class levers change the direction of force. Changes direction of force. Changes direction of force.

  • Case 1: DIN = DOUT, FIN = FOUT, MA = 1. Benefit: Changes direction of force. Drawback: No force or distance benefits. Example: See-saw, Scissors.
  • Case 2: DIN < DOUT, FIN > FOUT, MA < 1. Benefit: DIN < DOUT. Drawback: FIN > FOUT. Example: Catapult.
  • Case 3: DIN >
Read More

Nuclear Physics: Forces, Decay, and Energy Principles

Forces in the Nucleus

  • Gravity: Force of attraction.
  • Weak nuclear: Weak interaction.
  • Strong nuclear: Strong interaction.

The strong force is attractive at very short distances and repulsive at slightly longer distances as a residual effect of holding together electrons and nucleons. Isotopes have the same number of protons but a different number of neutrons.


Half-Life Calculations

Half-Life FormulaFinding Number of Half-Lives

N = N0 x (1/2)n

n = T / t1/2

wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw== wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw== wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw== wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw== wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw== wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==

N = number of nuclei or mass remaining

N0 = start

Read More

Principles of Electrochemistry and Ionic Solutions

Activity and Activity Coefficient

Activity (a): Activity is the effective concentration of species in solution.

Where:

  • a = Activity
  • γ = Activity coefficient
  • C = Concentration

For an ideal solution: a = C

For a real solution: a = γC

For an electrolyte: a = a₊ · a₋

Activity and Mean Ionic Activity of Electrolytes

For an electrolyte: a = (a₊)ν₊(a₋)ν₋

Mean ionic activity (a±): a± = (a)1/ν

Mean ionic activity coefficient (γ±): γ± = (γ₊ν₊ · γ₋ν₋)1/ν

For a 1:1 electrolyte: a±

Read More