![]() In Special States (stationary states) the electrons move by only obeying (Maxwellian electromagnetism and Newtonian mechanism all the electrons) classic rules. He called these orbits (special States) stationary states. He included the following into the Rutherford model hypotheses.Īn atom absorbs or emits radiation when it makes a transition from one state(stationary) to another state, where the frequency is represented by frequency conditions.Įlectrons can stay only in specific orbits of an atom(special States). He was also a scientific researcher and a philosopher Neil Henrik Bohr observed that by obeying Maxwellian electromagnetism and Newtonian mechanism, all the electrons in the atom revolve around the nucleus of the atom. Neil Henrik Bohr is a great scientist who gave lots of contributions to quantum mechanics. Now, this is termed as de Broglie Equation Broglie wavelength is measured in the standard units metres (m). Now, we can simplify it and get:Īt last, as we know, mass m times velocity v is equal to momentum p : V/λ (taken from wave speed-equation) lambda is wavelength here, replacing f. We know that massive particles don’t travel at the speed of light thus, we are substituting c with v (velocity of the particle): By computing Planck’s equation and the mass-energy equivalence equation of Albert Einstein, we get: ![]() The wavelength of an electron was mathematically determined by de Broglie using Planck’s equation (E = hf) and mass-energy equivalence equation of Albert Einstein’s (E = mc 2), momentum in a series of substitutions, and the wave speed equation (v = λf ). We can find it from the de Broglie Hypothesis. In quantum theory, the most noticeable thing is the wave nature of matter. ![]() Without the de Broglie Hypothesis, scientists could not understand the nature of the smallest scales in quantum mechanics because these are the basic understanding of quantum mechanics. Equations of the de Broglie Hypothesisĭe Broglie described his idea that any matter can show wavelike properties. Wave-particle duality was firstly observed from electromagnetic radiation (photons or electromagnetic waves). Wave-particle duality is the term given for the particles that exhibit particle and wave nature. De Broglie wave or matter-wave is termed for the waves related to the moving particles, and the wave wavelength shown here is called Broglie wavelength. Here, he stated that all the particles that move can sometimes function as a wave, and as particles. All of his mathematical theories were later proved by lots of experiments. Through his works, he showed the world how mathematically subatomic particles can share wave properties as well. In 1929, Louis de Broglie, a French physicist, was acknowledged with the Nobel Prize for his great work in quantum mechanics. We will discuss vastly in this article about both theories and understand the meaning of Bohr’s hypothesis. The equations of de Broglie were a relief for the scientific world, more importantly for Neil Henrik Bohr because he had postulated in his theory that angular momentum is equal to integral multiplied by h/2π.īy equating de Broglie equation and Bohr’s hypothesis of atoms together, the postulate of Bohr’s theory can be proved. In this article, we will be discussing the relation between the de Broglie equation and Bohr’s hypothesis of atoms by deriving their equations. De Broglie equation was the work of Louis de Broglie, a French physicist, and Bohr’s hypothesis of atoms belongs to Neil Henrik Bohr is a great scientist who gave lots of contributions to quantum mechanics. The two theories, de Broglie equation and Bohr’s hypothesis of atoms, have a great impact on quantum mechanics.
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