Niels Bohr

The wave model of electron placement, described by Schrödinger's equation, considers electrons as standing waves of probability distributions around the nucleus, indicating the likelihood of finding an electron in a specific region. In contrast, Niels Bohr's model proposes discrete electron orbits at fixed energy levels around the nucleus, with electrons moving in specific circular paths. Bohr's model does not account for the wave-like behavior of electrons or their inherent uncertainty in position.

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The radius of the nth orbit in the Bohr model is given by the formula: (r_n = 0.529 \times n^2 / Z), where n is the principle quantum number and Z is the atomic number. For He+, Z = 2 and n = 3, so the radius of the third orbit of He+ would be (r_3 = 0.529 \times 3^2 / 2 = 2.117 Amstraum).

Niels Bohr created the Bohr Model of the atom. It was an improvement on previous models (Thompson's Plum Pudding Model, Rutherford's model, etc.) which depicted the atom as a positive nucleus surrounded by negative electrons. Niels Bohr was also a member of the team of scientists working on the Manhattan Project.

Niels Bohr's ideas were initially met with skepticism, but as evidence supporting his theories accumulated, they gained wider acceptance within the scientific community. His work laid the foundation for quantum mechanics and contributed significantly to our understanding of atomic structure.

Protons and neutrons form the nucleusof the atom with electons orbiting it

When a gas is excited in an electrical discharge, light is emitted (this is essentially how neon lamps work). Niels Bohr looked at this emitted light using a spectrograph, which separates different wavelengths of light (just a like a simple triangular prism). Atoms, such as hydrogen or neon, emit very specific patterns of light. When you separate the wavelengths, you see a pattern of very sharp lines of light at only certain wavelengths and not others. In other words, the atoms emit only certain wavelengths of light, resulting in a series of lines when you look at the light through a spectrograph. Bohr looked at these lines and managed to figure out the pattern that determined which wavelengths were observed. He said that the light emitted was due to transitions between energy levels in the atoms, and the wavelength of light corresponded to the energy difference between the two states involved in the transition. In this way, he figured out the equation to predict the spacing between all of the energy levels of any one-electron atom or ion. His model was quite successful, and he was able to predict which lines you would see for things that hadn't even been measured yet (a good test for any theory!). Surprisingly, although he figured out the pattern so well, he didn't actually know what the patterns were really due to. In fact, he had to make assumptions that turned out to be completely false! However, despite these errors (which were corrected when quantum mechanics was developed), the Bohr model of the atom is very useful for many applications. His model does NOT work well for multi-electron atoms/ions, which unfortunately includes the large majority of atoms and ions! You need quantum mechanics for that!

Niels Bohr's major discovery was his model of the atom, known as the Bohr model. This model introduced the idea of quantized energy levels for electrons in an atom, explaining the stability of certain orbits and the emission of electromagnetic radiation. Bohr's work laid the foundation for modern quantum theory.

The Bohr model of the atom, proposed by Niels Bohr in 1913, was revolutionary in understanding the quantization of electron energies and the stability of atoms. It played a significant role in the development of modern quantum mechanics and remains an important concept in the field of atomic physics.

Neils Bohr made the ASSUMPTION that electrons could only exist in discrete energy levels when the electrostatic field of a nucleus -- he made no attempt to show WHY this was so.

Louis de Broglie postulated that electron movement could be described as a wave, with the wavelength being equal to Planck's Constant divided by the electron's momentum. Starting with this postulate, one can derive that the only permitted radial orbits of an electron are those with a circumference equal to a multiple of these wavelengths.

Erwin Schrodinger devised a mathematical formula for which one could derive these energy levels -- and a lot more. As such, Schrodinger's Equation was more fundamental to our understanding of sub-atomic reality. Schrondinger viewed his wave function (more precisely, the product of the wave function) as the charge density of a smeared-out electron.

Although you didn't ask, it was Max Born who showed that the wave-function product was, instead, the probability of finding a point-like electron at a specific place and time.

Niels Bohr proposed that electrons orbit the nucleus of an atom in fixed energy levels or shells. He suggested that the properties of elements are determined by the number of electrons in these energy levels. This hypothesis laid the foundation for understanding the periodic table in terms of electronic structure and chemical reactivity.

Neils Bohr was above religion, he was a Physicist. I think this answer belies a narrow and inaccurate view that C.S. Lewis called "scientism" or the placing of scientific knowledge above all else. It falsely presents science and religious faith as being mutually exclusive. What about physicists who were also people of faith? The more accurate answer would be that Neils Bohr did not believe in a personal God. That actually represents the truth. His father was Lutheran and his mother was Jewish. Later in life Neils embraced neither Christianity nor Judaism.

Niels Bohr did not significantly change mathematics, but rather made significant contributions to the field of quantum mechanics in physics. He developed the Bohr Model of the atom, proposing that electrons move in fixed orbits around the nucleus. This model helped lay the foundation for modern quantum theory.

Niels Bohr called the orbits "stationary states" because in these states, electrons do not emit electromagnetic radiation or lose energy, resulting in stable orbits. These stationary states are characterized by specific energy levels, and transitions between these states result in quantized energy exchanges. This concept helped explain the stability of the atom and laid the foundation for quantum mechanics.

Niels Bohr's theory of the atom proposed that electrons move around the nucleus in specific, fixed paths called orbits or energy levels. These orbits have specific energy levels and are sometimes referred to as shells.

Introduced by Niels Bohr in 1913, the model's key success lay in explaining the Rydberg formula for the spectral emission lines of atomic hydrogen.
The Bohr model is a primitive model of the hydrogen atom. As a theory, it can be derived as a first-order approximation of the hydrogen atom using the broader and much more accurate quantum mechanics, and thus may be considered to be an obsolete scientific theory. However, because of its simplicity, and its correct results for selected systems , the Bohr model is still commonly taught to introduce students to quantum mechanics, before moving on to the more accurate but more complex valence shell atom.

The atom had been theorized for ages before an experiment was done by Rutherford and his student to prove that gold was composed of atoms. They bombarded gold foil with alpha particles (He nuclei), and the particles occasionally deflected by a large angle, but would normally pass straight through. This proved there were atoms with tiny nuclei composing gold.

"Epistemology, or, "theory of knowledge", is the branch of philosophy that studies the nature, methods, limitations and validity of knowledge and belief. (Wilkipedia Epistemology) According to Plato, and, represented by a figure of subsets, knowledge is the subset of what is both true and believed.

Epistemology was the basis for "debates" between Albert Einstein and Niels Bohr on quantum physics and many more topics. Actually close friends, Einstein and Bohr discussed not only quantum physics, but many more topics, taking the form of an Einstein challenge and a Bohr response; discussions rather than debates which yielded a lot of information. (Wilkipedia Bohr-Einstein debates)

Niels Henrik David Bohr, (October 7, 1885-November 18, 1962), "...a Danish physicist who made fundamental contributions to understanding atomic structure and quantum physics..." (Wilkipedia Niels Bohr) Bohr basically was considered the father of atomic structure. (Hart Page 512) Bohr sharpened his thinking studying with J.J. Thompson who discovered the electron. Further He studied with Ernest Rutherford who discovered the atomic nucleus.

Bohr developed his own theory which was published in 1913 as an epoch-making work "On the Constitution of Atoms and Molecules". (Hart page 512) Bohr described an atom as a miniature solar system with electrons revolving around the heavy nucleus. (Hart page 513)

Bohr's work did a lot of explaining regarding the structure of the atom, including the explanation as to why it was limited in size; and, the fact that light did not include all colors. Additionally, Bohr predicted the existence of additional spectral lines and, ultimately won the Nobel Prize in Physics in 1922.

The Bohr diagram for aluminum would have three orbitals, as aluminum has three electron shells (K, L, M). Each shell corresponds to an orbital level in the Bohr model.

The Bohr model was inadequate because it couldn't fully explain the behavior of complex atoms or molecules. It couldn't account for the fine structure of spectral lines or the observed distribution of electrons in atoms. Additionally, it couldn't explain the quantum mechanical behavior of particles at the atomic level.

There is no definitive information on Niels Bohr's favorite food. He was known to enjoy traditional Danish cuisine and appreciating good food in general, but specific details on his favorite dish are not well-documented.

Niels Bohr was born in 1885, 7 October, second born of Christian Bohr and Ellen Adler Bohr. He had a younger brother Harald and an older sister, Jenny. Nies liked to play football together with his brother. He started school at seven and attended Gammelholm Latin School.

There is no principle stated in this question. Government has changed since 1945 because of the Great Depression and recession. The government has started helping people who live in poverty since this era.

Politically he was struggling with Roosevelt and especially Churchill to convince them that the secret of nuclear weapons production should be shared with the Soviets via the UN. Churchill allegedly thought that Bohr was a &¤#%& communist - which he certainly was not.

The statue of Niels Henrik Abel was built in 1908. It stands in Oslo, Norway, as a tribute to the famous Norwegian mathematician.