Contextualization

The Bohr Model, proposed by Danish physicist Niels Bohr in 1913, is an essence for the study of atomic structure. This model revolutionized the understanding of the behavior of electrons in atoms and gave rise to the branch of physics called quantum mechanics.

Bohr proposed that electrons orbit the atomic nucleus in definite paths, or orbitals, and that these electrons can jump from one orbital to another, emitting or absorbing energy in the process. This simple but powerful model allows us to understand a wide range of phenomena, from the color of flames in fireworks to the functioning of lasers.

Introduction

In our project, we will delve into the universe of atoms, starting from the classical model, passing through the Rutherford model and reaching the Bohr model. We will explore the principles that allow electrons to move between different energy levels and understand how this relates to the absorption and emission of light by atoms.

The repercussions of this knowledge are profound and numerous. The spectrum of light emitted or absorbed by an atom, for example, is determined directly by the energy levels that its electrons can occupy, influencing everything from the color of the objects we see to the development of photosynthesis in plants.

This project will also involve concepts in waves, thermodynamics and mathematical calculations, making it multidisciplinary and challenging. We intend that you understand that physics and mathematics are not isolated disciplines, they are intrinsically linked and, when combined, can explain a series of everyday phenomena.

To begin, we invite you to explore the following material:

• Bohr Model - Khan Academy
• Modern Physics Classes by Prof. Paulo Célio (Available on YouTube)
• Book "Os Mundos Invisíveis: Uma viagem pelo reino dos átomos e das partículas" by Luiz Alberto Oliveira

Now, let's start our investigation to better understand the world around us!

Practical Activity

Title: Modeling the Atom

Objective: Realaizar a physical and computational representation of the Bohr model for a chemical element chosen by the group.

1. Detailed Project Description

Students should select an atom of a chemical element to study and model. Based on the study of the Bohr Model, they should build a 3D representation of the chosen atom, clearly showing the different energy levels and possible electron jumps between these levels. In addition, they should develop a computational simulator that can replicate these jumps and consequent emission or absorption of light.

This project should be carried out by groups of 3 to 5 students and it is estimated to take more than 12 hours per student to complete.

2. Necessary Materials

   • Reusable materials (such as cardboard, popsicle sticks, clay, etc.) to build the physical model of the atom.
   • Computer with internet access and programming software. We suggest using Python with the matplotlib library for the computational simulation.

3. Detailed step by step to carry out the activity

   1. Research Phase: Students should research the chosen chemical element, its atomic number, number of electrons per energy layer, and its spectroscopy.

   2. Building the Physical Model: After research, the group should build a physical model of the chosen atom. The energy levels should be clearly identified, as well as the nucleus and electrons.

   3. Simulator Development: In parallel, the group should develop a simulator that can demonstrate the emission and absorption of light from electron jumps between energy levels. Here it is important that students understand and apply the relationship between the energy of the emitted photons and the difference in energy levels involved in the jump. It is recommended to use Python and the matplotlib library.

   4. Work Presentation: The finished work should be presented to the class. The presentation should include an explanation of the Bohr model, a demonstration of the physical model, and a display of the simulator, highlighting how it can reproduce the absorption and emission of light.

4. Final Report: At the end of the project, students should produce a report containing at least the following sections: Introduction, Development, Conclusions and Bibliography used.

   • In Introduction, students should contextualize the Bohr Model, its relevance and application in the real world, the chemical element they chose for the project and the main objectives of the work.

   • In Development, students should explain the Bohr Model theory, the process of building the physical model, and the development of the simulator. Students should provide enough details so that someone can replicate their work.

   • In Conclusion, students should revisit their main points, reflect on what they learned by doing the project, and explain the relevance of what they produced. Here, they are also encouraged to explore future applications of their work.

   • In Bibliography, students should list all sources consulted during the project.

This project is both an exercise in technical skills and learning fundamental concepts of Modern Physics as well as socio-emotional skills such as time management, collaboration, problem solving and creative thinking.