# How Does Dipole-Dipole Interaction Affect H₂ Molecule's Ground State Energy?

• avkr
In summary, the problem involves estimating the ground state energy of an ##H_2## molecule with protons separated by distance R and located on the z-axis. The dipole-dipole interaction is treated as a perturbation, and the task is to use perturbation theory to calculate an upper limit for the energy, ignoring spin degrees of freedom. It is important to consider how the two atoms affect each other through the dipole-dipole interaction.
avkr

## Homework Statement

Consider an ##H_2## molecule where the protons are separated by a wide
distance R and both are located on the z-axis. Ignoring the spin degrees
of freedom and treating the dipole-dipole interaction as a perturbation,
use perturbation theory to estimate an upper limit for the ground state
energy of this molecule.

## The Attempt at a Solution

What I think is that since hydrogen molecule has 0 dipole moment there should be no perturbation to calculate.

The problem is asking you about the interaction between the two atoms that make up the molecule: how does one atom affect the other through a dipole-dipole interaction?

## 1. What is a diatomic hydrogen molecule?

A diatomic hydrogen molecule is the simplest form of hydrogen, consisting of two atoms of hydrogen bonded together. It is the most abundant molecule in the universe and is often referred to as H2.

## 2. How is a diatomic hydrogen molecule formed?

A diatomic hydrogen molecule is formed through a process known as hydrogenation, where two hydrogen atoms share electrons and form a covalent bond. This process can occur through various reactions, such as the combination of two hydrogen atoms in the presence of a catalyst or the electrolysis of water.

## 3. What are the properties of a diatomic hydrogen molecule?

Diatomic hydrogen molecules have a linear shape and are non-polar, meaning they have no net electric charge. They are also highly reactive and flammable, making them useful in various industrial processes.

## 4. What is the significance of diatomic hydrogen molecules in chemistry?

Diatomic hydrogen molecules play a crucial role in many chemical reactions and processes. They are also used as a reducing agent in the production of ammonia and in the production of various fuels, such as hydrogen gas and methanol.

## 5. How is diatomic hydrogen molecule studied in scientific research?

Scientists use various techniques, such as spectroscopy and computational methods, to study the structure, properties, and behavior of diatomic hydrogen molecules. These molecules also serve as a model system for understanding the behavior of more complex molecules in chemistry and physics.

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