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This document provides examples of how math topics are applied to other subjects like chemistry and physics. In chemistry, first degree equations and weighted averages are used to calculate properties of chemical elements and isotopes. In physics, the Pythagorean theorem is used to calculate displacement and distance traversed from a graph of a particle's movement. Overall, the document shows how mathematical concepts are essential tools for understanding and analyzing examples in other STEM fields.
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The document studies small excitonic complexes in a disk-shaped quantum dot using the Bethe-Goldstone equation. It examines systems with up to 12 electron-hole pairs. For symmetric configurations where the number of electrons equals the number of holes, it finds:
1) The triexciton and four-exciton system show weak binding or possible unbinding in the weak confinement regime.
2) Higher complexes beyond four pairs exhibit binding in the weak confinement regime.
3) The Bethe-Goldstone approach provides better energies than the BCS variational method in the weak confinement regime.
0900 mac ozone met soc-2011
- The document discusses isotope fractionation in ozone and its cosmochemical implications. It presents theoretical calculations showing mass-independent isotope effects can arise from scattering processes involving indistinguishable isotopes.
- Numerical simulations of ozone formation reactions reproduce observed fractionation factors without adjustable parameters, supporting this quantum mechanical explanation.
- This process could explain other isotopic anomalies if certain gas-solid reactions are quenched before completion, and warrants further experimental study.
Atoms and their complexity
This document contains a worksheet on atoms and their complexity with various activities and exercises for students. The activities include explaining the differences between atoms, elements, ions, and isotopes. Students are asked to identify incorrect formulas from Dalton's atomic theory, complete tables with atomic properties, match scientists to their atomic models and experiments, calculate atomic sizes, write electron configurations, and complete a crossword puzzle with atomic terms. The worksheet draws on concepts from atomic structure and theory to help students learn about the composition and behavior of atoms.
Chemistry - Chp 4 - Atomic Structure - PowerPoint
The document discusses the history and development of atomic theory and the periodic table. It describes early atomic models proposed by Democritus and Dalton. Rutherford's gold foil experiment provided evidence that atoms have a small, dense nucleus containing protons and neutrons. Elements are distinguished by their atomic number and isotopes differ in their number of neutrons. The periodic table organizes elements according to recurring trends in their physical and chemical properties, allowing relationships between elements to be identified.
11/1/11 and 11/2/11
The periodic table provides the atomic number and atomic mass of each element, allowing one to determine the number of protons, neutrons, and electrons in an atom. The atomic number indicates the number of protons, while the difference between the atomic mass and atomic number gives the number of neutrons. Electrons occupy energy levels around the nucleus according to the element's position on the periodic table.
3e f isotope info + qs
1. Isotopes are atoms of the same element that have different numbers of neutrons. This document discusses isotopes and how to calculate relative atomic mass.
2. It provides examples of different isotopes like chlorine-35, chlorine-37, and hydrogen isotopes. The number of protons and electrons are the same between isotopes but the number of neutrons can differ.
3. To calculate relative atomic mass, you must know the natural abundances of each isotope and take a weighted average of their masses based on these abundances. For chlorine, 75% is chlorine-35 and 25% is chlorine-37, giving a relative atomic mass of 35.5.
T21 IB Chemistry- Spectroscopy continued
This document outlines lessons for a spectroscopy course, including:
1. A review of infrared spectroscopy, mass spectroscopy, and proton NMR spectroscopy.
2. Practice using these techniques to answer exam questions and deduce organic compound structures.
3. Details on high resolution proton NMR, including spin-spin coupling and interpreting splitting patterns.
4. Interpreting NMR spectra to determine functional groups and hydrogen environments.
5. A brief overview of X-ray crystallography and some practice questions reviewing all three techniques.
The course aims to build students' skills in applying spectroscopy methods to organic compound analysis through lessons, examples, and practice questions.
Sventae
This document provides an overview of modern atomic theory and quantum mechanics. It discusses the key discoveries and models that led to our current understanding of atomic structure, including Dalton's atomic theory, the discovery of subatomic particles, and the development of quantum mechanics with Schrodinger's equation. The four quantum numbers - principal, angular momentum, magnetic, and spin - are introduced to describe the allowed states of electrons in atoms. Rules for writing electron configurations are also covered.
Isotopes
This document discusses isotopes and atomic structure. It defines isotopes as atoms of the same element that have the same number of protons but different numbers of neutrons. Isotopes have the same chemical properties but slightly different physical properties. The document also discusses nucleon number, which is the total number of protons and neutrons in an atom's nucleus. The mass number equals the nucleon number. Radioactive isotopes are unstable and undergo nuclear decay over time into stable daughter isotopes.
Particle physics - Standard Model
There are two types of elementary particles: fermions and bosons. Fermions obey the Pauli exclusion principle and have half-integer spin, while bosons do not obey PEP and have integer or zero spin. Fermions are further divided into leptons, which do not feel the strong force, and quarks, which do feel the strong force. Quarks combine to form composite particles called hadrons, which are divided into baryons containing three quarks and mesons containing two quarks. The four fundamental forces are electromagnetic, strong, weak, and gravity, and are mediated by gauge bosons.
Similar to Examples (portugal) (20)
Examples (portugal)
- 1. Examples of the application of Maths to other subjects (Portugal) SUBJECT/TOPIC MATHS TOPIC Example Chemistry 1st degree Equations Most elements that exist in nature have isotopes. The element X consists of two isotopes. Chemical elements weighted Average Consider the data provided in the following table: Relative atomic mass percentage relative Isotopes isotopic mass abundance 6,02 8% 7,02 92% 1. Please, indicate the number of neutrons of the less abundant isotope. Replacing in by 2, we obtain Replacing in by 2, we obtain As mass number = number of protons + number of neutrons Answer: The number of neutrons of the less abundant isotope is 4. 2. Write the nuclide of the most abundant isotope. 3. What is the serial number of the element X in the periodic table? The number of the element x in the periodic table, is 3 because the order number is equal to the atomic number. 4. Calculate the relative atomic mass of the element X. or relative atomic mass = = Answer: The relative atomic mass of the element X is 6,94
- 2. Examples of the application of Maths to other subjects (Portugal) Physics Distance between two The movement of a particle is described in the graphic . Displacement and space points traversed Pythagoras Theorem calculate the displacement and the space traversed between: 1. . 2. .