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Hybridization of Atomic Orbitals II

Hybridization of Atomic Orbitals II

sp3d and sp3d 2 Hybridization

Hybridization of Atomic Orbitals I

Hybridization of Atomic Orbitals I

The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...

IR Absorption Frequency: Hybridization

IR Absorption Frequency: Hybridization

Hydrocarbons such as alkanes, alkenes, and alkynes show characteristic C–H stretching absorption bands. These IR stretching frequencies depend on the hybridization of the involved carbon atom and can be explained in terms of the s character of each hybridized atomic orbital.
Among the sp, sp2, and sp3 hybridized orbitals, sp orbitals have the maximum s character (50%). Consequently, the electrons are held more closely to the nucleus, resulting in stronger and shorter C–H bonds that stretch at a...

2D NMR: Overview of Homonuclear Correlation Techniques

2D NMR: Overview of Homonuclear Correlation Techniques

Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
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2D NMR: Homonuclear Correlation Spectroscopy (COSY)

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Homonuclear correlation spectroscopy, or COSY, is a 2-dimensional NMR technique that provides information about coupled protons. Typically, the geminal and vicinal coupling are observed. For example, consider the COSY spectrum of ethyl acetate, where its 1D proton NMR spectrum is plotted along the vertical and horizontal axes with their corresponding chemical shift scale. Three spots on the diagonal corresponding to the three peaks in the 1D proton spectrum are called diagonal peaks. The COSY...

Valence Bond Theory and Hybridized Orbitals

Valence Bond Theory and Hybridized Orbitals

According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
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Related Experiment Video

Updated: Jul 6, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Synthesis of hybrid spatial coherence.

A W Lohmann¹, G Shabtay, D Mendlovic

¹Physikalisches Institut, Erlangen-Nurnberg University, Rommelstrasse 1, 91056 Erlangen, Germany.

|March 8, 2008

Summary

This study introduces a simple optical system to create hybrid spatial coherence, enabling control over light beam coherence in specific directions. This method synthesizes unique coherence states for optical signal applications.

Area of Science:

Optics
Photonics
Wave Physics

Background:

Spatial coherence is crucial for understanding partially coherent optical signals.
Existing methods for controlling spatial coherence can be complex.

Purpose of the Study:

To propose a simple system for synthesizing hybrid states of spatial coherence.
To demonstrate the creation of states with directional coherence (e.g., coherent in x, incoherent in y).

Main Methods:

Utilizing a quasi-monochromatic, spatially coherent light source (like a laser).
Incorporating a simple moving optical element within the setup.
Synthesizing specific hybrid coherence states.

Main Results:

Successfully generated hybrid spatial coherence states.

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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

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Published on: March 20, 2017

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Last Updated: Jul 6, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Demonstrated simultaneous coherence in one direction and incoherence in the perpendicular direction.

Validated the simplicity and effectiveness of the proposed optical setup.

Conclusions:

The proposed system offers a straightforward method for generating specialized spatial coherence.
This technique provides a new tool for manipulating optical beam properties.
Potential applications in areas requiring tailored light field characteristics.