Category Archives: Science Topics

Modelling Natural Shapes: (Easter) Eggs 2020

Posted on April 12, 2020 by Danilo Roccatano

One year ago, I wrote an article about the modelling of the egg shapes, promising at one point to come back on the topics. A next step in studying eggs shapes is to look to real one or a copy … Continue reading →

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Molecular Machines: the Coronavirus SARS-CoV-2 Menace. Part I

Posted on March 5, 2020 by Danilo Roccatano

“If you know the enemy and know yourself, you need not fear the result of a hundred battles. If you know yourself but not the enemy, for every victory gained you will also suffer a defeat. If you know neither … Continue reading →

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Physical Chemistry. The Particle in a Box I: the Schrödinger Equation in One-dimension

Posted on February 17, 2020 by Danilo Roccatano

In 1926, the Austrian physicist Erwin Schrödinger (1887-1961) made a fundamental mathematical discovery that had a profound impact on the study of the molecular world (in 1933, Schrödinger was awarded with the Nobel prize in Physics just 7 years later … Continue reading →

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The Logistic Map and the Feigenbaum Constants: a Retro Programming Inspired Excursion

Posted on July 13, 2019 by Danilo Roccatano

“… Mitchell Feigenbaum was an unusual case. He had exactly one published article to his name, and he was working on nothing that seemed to have any particular promise. His hair was a ragged mane, sweeping back from his wide … Continue reading →

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Numerical Integration of Differential Equations. Part I.: Katherine Goble and the Euler’s Method.

Posted on May 31, 2019 by Danilo Roccatano

This article was inspired by the beautiful 2016 movie Hidden Figures (based on the book of the same name by M. L. Shetterley) which tell the dramatic story of three talented black women scientist that worked as “human computers” for … Continue reading →

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The Calculation of the Lattice Energy: The Born-Haber Cycle

Posted on May 26, 2019 by Danilo Roccatano

My blog in italian on this topics is very popular and for this reason I decided to add an English translation (when I have some free time, I will also translate the text in the Figure and Table). So be … Continue reading →

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Modelling Patterns and Forms in Nature II: (Easter) Eggs

Posted on April 2, 2019 by Danilo Roccatano

When you start with a portrait and search for a pure form, a clear volume, through successive eliminations, you arrive inevitably at the egg. Likewise, starting with the egg and following the same process in reverse, one finishes with the portrait. PABLO PICASSO Easter … Continue reading →

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I Primi 150 Anni della Tavola Periodica degli Elementi

Posted on January 28, 2019 by Danilo Roccatano

Che la nobiltà dell’Uomo, acquisita in cento secoli di prove e di errori, era consistita nel farsi signore della materia, e che io mi ero iscritto a Chimica perché a questa nobiltà mi volevo mantenere fedele. Che vincere la materia … Continue reading →

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Calculus in a Nutshell: the Definite Integral of the Monovariate Functions

Posted on January 2, 2019 by Danilo Roccatano

The definite integral is the key tool in calculus for defining and calculating quantities important to mathematics and science, such as areas, volumes, lengths of curved paths, probabilities, and the weights of various objects, just to mention a few. The … Continue reading →

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Berechnung der Konstante von Madelung

Posted on October 29, 2018 by Danilo Roccatano

Die gesamte Coulomb-Potentialenergie eines Kristalls ist die Summe der einzelnen Terme der elektrostatischen Potentialenergie zum Laden von Ionen   e und  getrennt nach Entfernung . Die Summe erstreckt sich auf alle im Festkörper vorhandenen Ionenpaare für alle kristallinen Strukturen. Die … Continue reading →

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