# What is Schrodinger’s atomic model?

## Schrodinger’s atomic model

A powerful model of the atom was developed by **Erwin Schrodinger** in 1926. Schrodinger combined the equations of wave behavior with the de **Broglie** equation to generate a **mathematical model** for the **distribution** of **electrons** in an atom. The **atomic model Schrodinger** allowed the space occupied electron **dimensional** . Therefore, it required three coordinates, or three **quantum numbers** , to describe the orbitals in which electrons can be found.

## What is Schrodinger’s atomic model?

It is a model that indicates the **periodic ****properties** that atoms have and the **bonds** that they can form, and it tells us that **electrons** are waves of matter that are distributed in **space** depending on the function of the **waves** .

- What is the Schrodinger atomic model?
- features
- Postulates of the atomic model of Schrodinger
- Contributions
- Schrödinger equation
- What problems does Schrodinger’s atomic model present?
- Importance

## What is the Schrodinger atomic model?

The Schrodinger model assumes that the **electron** is a **wave** and attempts to describe the regions in space, or **orbitals** , where electrons are most likely to be found . Rather than trying to tell us where the electron is at any moment, the Schrodinger model describes the probability that an **electron** can be found in a **given region** of space at any given time. This model no longer tells us where the electron is; it just tells us where it might be.

Being a **three-dimensional mathematical** model, it needs three **coordinates** which come from the Schrodinger **wave equations,** which are the **principal** (n), **angular** (l) and **magnetic** (m) quantum numbers . These quantum numbers describe the **size** , **shape,** and **orientation** in space of the orbitals in an atom.

## features

The main characteristics of Schrodinger’s atomic model are the following:

- And the model describing the
**motion**of electrons as**waves****stationary**. - It tells us that the electrons are in
**constant motion**, which means that they do not have a fixed position within the atom. - This model cannot predict the
**location**of the electron, nor does it describe the**path**it makes within the atom. - The model can only establish a
**probable zone**of where the electron might be. - The probability areas are known as
**atomic orbitals**which describe a translational motion around the nucleus of the atom. - Atomic orbitals can be defined between
**electron clouds**. - It is a model that represents the
**probability**of the presence of the electron in orbitals. - It only explains the
**electronic structure**of the atom and its interaction with the structure of other atoms, but it cannot explain what the atomic nucleus is like or its**stability.**

## Postulates of the atomic model of Schrodinger

The postulates of the atomic model are the following:

Electrons behave like **standing waves** that are distributed in space according to the **wave** function **Ψ.**

Electrons move inside the atom in **orbitals** . These are areas where the **probability** of finding an electron is considerably higher. The referred probability is **proportional** to the **square** of the wave **function** Ψ2.

## Contributions

Schrodinger made important contributions in the field of **quantum mechanics** and **thermodynamics** . He received the Nobel Prize in Physics in 1933 for having managed to develop the **Schrödinger equation** and after maintaining a long working relationship with Albert Einstein, he proposed the **thought experiment** of Schrödinger’s **cat** in which he showed the paradoxes and questions to which quantum physics was involved.

## Schrödinger equation

Schrodinger managed to develop two mathematical models, making the difference about what happens depending on whether the quantum state changes with time or not. In order to analyze the atom, Schrödinger published the time-independent Schrödinger equation at the end of 1926. This equation is based on the **functions** of the **wave** behave like waves **stationary** .

His theory tells us that the wave does not move and that the **equilibrium points** function as an **axis** for the rest of the **structure** to move around them, describing a certain **frequency** and **amplitude** .

The Schrödinger equation is used when the observable representing the total energy of the system, known as **the Hamiltonian operator** , does not depend on time. Despite this, the function that describes the total **wave motion** will always depend on **time** .

The time-independent Schrödinger equation is as follows:

**EΨ = ĤΨ **

Where:

**E**: is the constant of**proportionality**.**Ψ:**is the wave function of**the quantum system**.**Ĥ:****Hamiltonian**operator .

## What problems does Schrodinger’s atomic model present?

The advantage of this model is that it consists of equations mathematics known as **functions** of **wave** meeting the requirements of the behavior of electrons. The downside is that it is difficult to imagine a **physical model** of electrons as **waves** .

## Importance

The main importance of Schrodinger’s atomic model was the creation of the **electronic configuration** from which the **quantum numbers** of the electrons that exist in an atom can be obtained. This electronic configuration is what tells us the **energy** level that an electron has, the **orbital** and the specific **time** of the orbital in which it is located, as well as its axis.