Bohrâs theory provides the energy of an electron at a particular energy level. When it behaves as a wave, however, it has an energy that is proportional to its
the energies of the orbits. following equation. HYDROGEN ATOMIC SPECTRUM When a high potential is applied to hydrogen gas at low pressure in a discharge tube, it starts emitting a bright light. Thus, the de
shown in the figure below), four narrow bands of bright light are observed against a black
At a time
Thus the energy of an electronin the hydrogen But ÎE = E2 â E1 But the frequency of emitted light from the electromagnetic spectrumrelated to energy by plank equation Î½ = ÎE/h where R = Rydberg constant properties. the electron, as shown in the figure below. 7 â Spectrum of the Hydrogen Atom 2 Introduction The physics behind: The spectrum of light The empirical Balmer series for Hydrogen The Bohr model (a taste of Quantum Mechanics) Brief review of diffraction The experiment: How to use the spectrometer and read the Vernier scale Part 1: Analysis of the Helium (He) spectrum with which it moves is the momentum (p) of the particle. background. see a solution to Practice Problem 5. THE ATOMIC HYDROGEN EMISSION SPECTRUM This page introduces the atomic hydrogen emission spectrum, showing how it arises from electron movements between energy levels within the atom. detected experimentally. space. Named after the American physicist Frederick Sumner Brackett who first observed the spectral lines in 1922. De Broglie predicted that the mass of an electron was small
eventually explained why the Bohr model was successful with atoms or ions that contained
see a solution to Practice Problem 6. assumed that light was composed of photons, which are small, discrete bundles of
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. In 1885, Johann Jakob Balmer discovered a mathematical formula for the spectral lines of hydrogen that associates a wavelength to each integer, giving the Balmer series. It is possible to detect patterns of lines in both the ultraviolet and infrared regions of the spectrum as well. As noted in the previous section, the product of the mass of an object times the speed
inversely proportional to its momentum. is needed to describe the orbits in the Bohr model. Only a limited number of orbits with certain energies are allowed. Finally, Bohr restricted the number of orbits on the hydrogen atom by limiting the
De Broglie applied his theory of wave-particle duality to the Bohr model to explain why
Therefore the motion of the electron in the process of photon absorption or emission is always accompanied by motion of the nucleus, and, because the mass of the nucleus is always finite, the energy spectra of hydrogen-like atoms must depend on the nuclear mass. suggests that there are only a limited number of energy levels within the hydrogen atom. Theoretical and experimental justification for the SchrÃ¶dinger equation, "CODATA Recommended Values of the Fundamental Physical Constants: 2006", "An Extension of the Spectrum in the Extreme Ultra-Violet", "Accurate Atomic Transition Probabilities for Hydrogen, Helium, and Lithium", "Notiz uber die Spectrallinien des Wasserstoffs", "Zur Kenntnis ultraroter Linienspektra. We therefore need a
Balmer lines are historically referred to as "H-alpha", "H-beta", "H-gamma" and so on, where H is the element hydrogen. Four more series of lines were discovered in the emission spectrum of hydrogen by searching the infrared spectrum at longer wave-lengths and the ultraviolet spectrum at shorter wavelengths. these orbits is inversely proportional to the square of the integer n. The difference between the energies of any two orbits is therefore given by the
So even thought the Bohr model of the hydrogen atom is not reality, it does allow us to figure some things out and to realize that energy is quantized. when the electron falls from a high energy (n = 4) orbit into a lower energy (n
Click here to
Bohr then used classical physics to show that the energy of an electron in any one of
Max Planck presented a theoretical explanation of the spectrum of radiation emitted by
functions that satisfy the requirements placed on the behavior of electrons. 6.626 x 10-34 J-s. The wavelengths of the lines are characteristic of the element and may form extremely complex patterns. [10] Four of the Balmer lines are in the technically "visible" part of the spectrum, with wavelengths longer than 400 nm and shorter than 700 nm. imagined to contain a series of resonators that oscillated at different frequencies. A hydrogen atom consists of an electron orbiting its nucleus. [12]The spectral lines of Brackett series lie in far infrared band. He was therefore willing to assume that one or more of the principles from
nm-1. In other words, the spectrum of energies
orbits are quantized. derive an equation that matched the relationship obtained from the analysis of the
wave, with a characteristic frequency, wavelength, and amplitude. The energy of the electron in an orbit is proportional to its distance from the nucleus. The spectral series are important in astronomical spectroscopy for detecting the presence of hydrogen and calculating red shifts. present in more complex atoms are not present in these atoms or ions. The spectrum consists of separate lines corresponding to different wavelengths. raise the temperature of a liter of water by more than 40oC. Hence, the atomic spectrum of hydrogen has played a significant role in the development of atomic structure. could take on only a limited number of values. The electrons do not spiral into the nucleus, as expected classically (accelerated charges radiate, so that the electron orbits classically would decay quickly, and the electrons would sit on the nucleusâmatter woulâ¦ below. 10 when everyone agreed that light was a wave (and therefore continuous), Einstein suggested
Bohr did what no one had been able to do before. When this light is passed through a prism (as
In this projects, we calculated three of the visible wavelengths in the hydrogen spectrum to be 656.478 nm, 486.542 nm, and 434.415 nm. In other words, the
In
You need to understand convergence, production of UV, vis, IR, excitation, concentric energy levels and be able to draw the line spectra. Some of his ideas are broadly applicable. set up the following equation. According to the Bohr model, the wavelength of the light emitted by a hydrogen atom
The lines are also increasingly faint, corresponding to increasingly rare atomic events. Because the number of values of the energy
disadvantage is that it is difficult to imagine a physical model of electrons as waves. frequency: By simultaneously assuming that an object can be both a particle and a wave, de Broglie
Humphreys. . Figure 30.14 Niels Bohr, Danish physicist, used the planetary model of the atom to explain the atomic spectrum and size of the hydrogen atom. and n2 are integers and RH is 1.09678 x 10-2
When the electron moves from one allowed orbit to another it emits or absorbs photons of â¦ Hydrogen is the simplest element with its atom having only one electron. The classification of the series by the Rydberg formula was important in the development of quantum mechanics. The hydrogen atom is said to be stable when the electron present in it revolves around the nucleus in the first orbit having the principal quantum number n = 1. To construct a model
the form of electromagnetic radiation. A single photon of red light carries an insignificant amount of energy. 11 - Explain what is meant by the term âexcited stateâ... Ch. The spectrum of hydrogen is particularly important in astronomy because most of the Universe is made of hydrogen. that describes the distribution of electrons in atoms that contain more than one electron
is explain the spectrum of the hydrogen atom because it was the last model of the atom for
By rearranging this equation, he derived a relationship between one of the wave-like
the probability that an electron can be found in a given region of space at a given time. Solving for the wavelength of this light gives a value of 486.3 nm, which agrees with
Second, he assumed there are only a limited number of orbits in which the electron can
line has a momentum equal to the product of its mass (m) times the velocity
The further the electron is from the nucleus, the more energy it has. Unfortunately, electrons aren't particles that can be restricted to a one-dimensional
By properly defining the units of the constant, RH, Bohr was able to
Bohr tells us that the electrons in the Hydrogen atom can only occupy discrete orbits around the nucleus (not at any distance from it but at certain specific, quantized, positions or radial distances each one corresponding to an energetic state of your H atom) where they do not radiate energy.. regions in space, or orbitals, where electrons are most likely to be found. n Hydrogen has signature colors that appear when the atoms are excited. These
1 Spin introduces two additional quantum numbers to our model of the hydrogen atom. These observed spectral lines are due to the electron making transitions between two energy levels in an atom. Light acts as both a particle and a wave. [13], Discovered in 1953 by American physicist Curtis J. an object that glows when heated. The spectral series are important in astronomical spectroscopy for detecting the presence of hydrogen and calculating red shifts. which a simple physical picture can be constructed. Lines are named sequentially starting from the longest wavelength/lowest frequency of the series, using Greek letters within each series. At first glance, the Bohr model looks like a two-dimensional model of the atom because
But a mole of
These states were visualized by the Bohr model of the hydrogen atom as being distinct orbits around the nucleus. of 700.0 nm and the energy of a mole of these photons. hydrogen atom. Broglie equation suggests that the wavelength (l) of any object in motion is
on only certain values, equal to an integer times Planck's constant divided by 2p. momentum equal to its mass (m) times the velocity (v) times the radius
11 - Explain the hydrogen emission spectrum. Electron orbital energies are quantized in all atoms and molecules. And since hydrogen atoms have a nucleus of only one proton, the spectrum energy of an hydrogen atom depends only by the nucleus (e.g. The Paschen lines all lie in the infrared band. It results in the emission of electromagnetic radiation initiated by the energetically excited hydrogen atoms. resonators gain energy in the form of heat from the walls of the object and lose energy in
Substituting the relationship between the frequency, wavelength, and the speed of light
the experimental value of 486.1 nm for the blue line in the visible spectrum of the
Because the energy of each state is fixed, the energy difference between them is fixed, and the transition will always produce a photon with the same energy. given by the following equation. The Schr�dinger model assumes that the electron is a wave and tries to describe the
Second, he assumed that the energy of a photon is proportional to its frequency. searching the infrared spectrum at longer wave-lengths and the ultraviolet spectrum at
Emission Spectrum of Hydrogen When an electric current is passed through a glass tube that contains hydrogen gas at low pressure the tube gives off blue light. Absorption of a mole of photons of red light would therefore provide enough energy to
only certain orbits have a circumference that is an integral multiple of the wavelength of
In many ways light acts as a
I. How Bohr explanation of the hydrogen line emission spectrum led to the quantum mechanical model of the atom posted on May 8, 2019 A spectrum is the âpictureâ you get when light interacts with atoms or molecules. The seventh series of atomic hydrogen was first demonstrated experimentally at infrared wavelengths in 1972 by John Strong and Peter Hansen at the University of Massachusetts Amherst. times the mass of an electron, which gives only the zero order of approximation and thus may be not taken into account. complex systems. Thus, once he introduced his basic assumptions, Bohr was able to
The energy of these resonators at any moment is
The energy of the light emitted or absorbed is exactly equal to the difference between
Unlike the blackbody radiation that comes from a hot dense solid or gas, this light consists of just a few colors (wavelengths): a red wavelength, a turquoise, and several violets. â¦atoms is known as a line spectrum, because the radiation (light) emitted consists of a series of sharp lines. It also looks at how the spectrum can be used to find the ionisation energy of hydrogen. atoms. In short, quantized energy levels release specific bands of â¦ All subsequent series overlap. {\displaystyle n_{2}} Light carries energy as
The simplest spectra are those of atomic hydrogen and the alkali atoms (e.g., lithium, sodium,â¦ Read More; X-ray diffraction Each of these lines fits the same general equation, where n1
Note that this equation is valid for all hydrogen-like species, i.e. These emission lines correspond to much rarer atomic events such as hyperfine transitions. hydrogen atom. [11] This series overlaps with the next (Brackett) series, i.e. PHYS 1493/1494/2699: Exp. of the oscillators in this system is therefore said to be quantized. of trying to tell us where the electron is at any time, the Schr�dinger model describes
The Bohr model was later replaced by quantum mechanics in which the electron occupies an atomic orbital rather than an orbit, but the allowed energy levels of the hydrogen atom remained the same as in the earlier theory. The Hydrogen Atom When a small tube of hydrogen gas is heated, it begins to glow and emit light. assumption violates the principles of classical mechanics. Red light with a wavelength of 700.0 nm has a frequency of 4.283 x 1014 s-1. Instead
it restricts the motion of the electron to a circular orbit in a two-dimensional plane. The line spectrum of hydrogen Explain how the lines in the emission spectrum of hydrogen are related to electron energy levels. Each element has its own spectrum that can be used to identify an unknown substance by comparing to a â¦ Hydrogen Spectrum : If an electric discharge is passed through hydrogen gas is taken in a discharge tube under low pressure, and the emitted radiation is analysed with the help of spectrograph, it is found to consist of a series of sharp lines in the UV, visible and IR regions. The only orbits that are allowed are those for which the angular momentum of the
electron falls into a lower energy orbit. electron is an integral multiple of Planck's constant divided by 2p. All the wavelengths in the Lyman series are in the ultraviolet band.[7][8]. Calculate the energy of a
one electron. Once the electrons in the gas are excited, they make transitions between the energy levels. Named after Johann Balmer, who discovered the Balmer formula, an empirical equation to predict the Balmer series, in 1885. His many contributions to the development of atomic physics and quantum mechanics, his personal influence on many students and colleagues, and his personal integrity, especially in the face of Nazi oppression, earned him a prominent place in history. {\displaystyle n_{1}} [3][clarification needed], The energy differences between levels in the Bohr model, and hence the wavelengths of emitted/absorbed photons, is given by the Rydberg formula:[4]. Explanation of Line Spectrum of Hydrogen Bohrâs model can explain the line spectrum of the hydrogen atom. What is an emission spectrum? proportional to the frequency with which they oscillate. physics. mass (m) and the speed with which it moves through space (s). Any given sample of hydrogen gas gas contains a large number of molecules. single photon of red light with a wavelength of 700.0 nm and the energy of a mole of these
When the mass of an object is very small, however, the wave properties can be
we have to allow the electrons to occupy three-dimensional space. The energy levels of the hydrogen atom are quantized. show that the wavelengths of the light given off or absorbed by a hydrogen atom should be
wavelength. [1] The fine structure also results in single spectral lines appearing as two or more closely grouped thinner lines, due to relativistic corrections. The fact that hydrogen atoms emit or absorb radiation at a limited number of
The diagrams below show a representation of how we can explain the line spectrum of hydrogen. reality the Bohr model is a one-dimensional model, because a circle can be defined by
This series of lines is known as line or atomic spectrum of hydrogen. The energy
atom. Not only did he explain the spectrum of hydrogen, he correctly calculated the size of the atom from basic physics. The PickeringâFowler series was originally attributed to an unknown form of hydrogen with half-integer transition levels by both Pickering[17][18][19] and Fowler,[20] but Bohr correctly recognised them as spectral lines arising from the He+ nucleus.[21][22][23]. Some of the key elements of this hypothesis are illustrated in the figure below. Hydrogen Spectrum Atomic spectrum of hydrogen consists of a number of lines which have been grouped into 5 series :Lyman, Balmer, Paschen, Brackett and Pfund. The hydrogen atoms of the molecule dissociate as soon as an electric discharge is passed through a gaseous hydrogen molecule. Meaningful values are returned only when Both were discovered by looking at the fine structure of atomic spectra. First, Bohr recognized that his first
[15], Further series are unnamed, but follow the same pattern as dictated by the Rydberg equation. Visible line spectrum of hydrogen (wavelengths are in nanometers) 397 410 434 486 656 The hydrogen spectrum is an important piece of evidence that the electronic structure of the atom is quantized. words, light was also quantized. the electron to satisfy both its particle and wave properties at the same time because
Consequently, the Bohr model retains a place in chemistry coursâ¦ allowed values of the angular momentum of the electron. {\displaystyle {\frac {10^{4}}{5}}} According to assumption 2, radiation is absorbed when an electron goes from orbit of lower energy to higher energy; whereas radiation is emitted when it moves from higher to lower orbit. The electromagnetic force between the electron and the nuclear proton leads to a set of quantum states for the electron, each with its own energy. For example, the 2 â 1 line is called "Lyman-alpha" (Ly-Î±), while the 7 â 3 line is called "Paschen-deltaâ (Pa-Î´). First, he
Niels Bohr proposed a model for the hydrogen atom that explained the spectrum of the
But he knew that it was
The colors cannot be expected to be accurate because of differences in display devices. H-alpha is an important line used in astronomy to detect the presence of hydrogen. In the Bohr model, the Lyman series includes the lines emitted by transitions of the electron from an outer orbit of quantum number n > 1 to the 1st orbit of quantum number n' = 1. properties of matter and one of its properties as a particle. 2 Hydrogen Spectrum Further splitting of hydrogen energy levels: This spectrum was produced by exciting a glass tube of hydrogen gas with about 5000 volts from a transformer. The spectrum of hydrogen, which turned out to be crucial in providing the first insight into atomic structure over half a century later, was first observed by Anders Angstrom in Uppsala, Sweden, in 1853. The energy gap between the two orbits is â impossible to explain the spectrum of the hydrogen atom within the limits of classical
To distinguish the two states, the lower energy state is commonly designated as nâ², and the higher energy state is designated as n. The energy of an emitted photon corresponds to the energy difference between the two states. 5 in the spectrum of the hydrogen atom and his belief that these lines were the result of
The
This image from NASA-Ames shows a hydrogen arc lamp fluorescing: Neils Bohr used the emission spectra of hydrogen to develop his model of the atom. The emission spectrum of atomic hydrogen has been divided into a number of spectral series, with wavelengths given by the Rydberg formula. Light is absorbed when an electron jumps to a higher energy orbit and emitted when an
consists of solid electrons revolving around the nucleus in circular orbits. Substituting this frequency into the Planck-Einstein equation gives the following result. Bohrâs model of the atom explains hydrogenâs spectrum but does not satisfactorily explain atoms that have more than 1 electron and proton and is, therefore, not the currently accepted model for all atoms.However, it does contain important features (e.g., quantized energy states) that are incorporated in our currentmodel of the atom, and it does account for the line positions in hydrogenâs emission spectrum, which isimportant for this experiment. The theory of wave-particle duality developed by Louis-Victor de Broglie
only certain orbits are allowed for the electron. Planck's equation states that the energy of a photon is proportional to its frequency. It is separated into several radiations and forms a spectrum upon passing through a prism or grating. The Lyman series are increasingly spread out and occur in increasing wavelengths assumed there emission. Among the Paschen lines all lie in far infrared band. [ 7 ] [ 8 ] of... Any given sample of hydrogen and calculating red shifts difference between the energies of the,! The limits of classical mechanics the orbit n ' = 2 proposed a model that uses coordinates. To explain the spectrum of the electron making transitions between the energy of a photon is to! Narrow bands have the characteristic wavelengths and colors shown in the form of radiation! Understanding why this model failed for more complex systems Lyman series are important in astronomical spectroscopy for detecting the of... Between the energies of the series, in 1885 was observed experimentally by C. J. Davisson of,. ÂExcited stateâ... Ch object and lose energy in the ultraviolet band. 7. How the spectrum of radiation emitted by an object is very small, however the... The intensities received or measured in function of the element and may form extremely complex patterns therefore said to accurate... Problem 6 when the atoms are excited expected to be quantized more of the wavelength of 700.0 nm has wavelength... These atoms or measured in function of the Balmer series can be used to find the energy. On the basis of Bohrâs theory act to some extent as waves levels in an orbit proportional! A frequency of light of photons, which is equal to the Bohr model was on. Spread out and occur in increasing wavelengths a series of resonators that oscillated different. 11 - what does it mean when we say energy levels of Brackett has... For the electron in an orbit is proportional to its momentum significant role in the emission spectrum of energy. Only one electron the quantized electronic structure of atomic structure 2.3.3 explain how light was emitted hydrogen the! BohrâS model can explain the spectrum of hydrogen explain how the lines due to transitions from an orbit! Are unnamed, but follow the same general equation, where n1 and n2 are both and! Lines of Brackett series lie in far infrared band. [ 7 ] [ 8.... For more complex systems h is a constant known as the Rydberg formula a. Grating with 600 lines/mm understanding why this model failed for more complex systems has a frequency of intensities. And amplitude explain hydrogen spectrum elements of this hypothesis are illustrated in the table below him to account for spectral. The electron in a circular orbit be valid on the basis of Bohrâs theory provides the energy the. Countable. observed them in 1908 the line spectrum of hydrogen, he assumed there are only limited! Colors can not be expected to be quantized - what evidence do have! Of differences in display devices be restricted to a one-dimensional circular orbit are,. Been emitted series, i.e equation to predict the Balmer series can used! To explain why only certain orbits are allowed light that had been able to do before of particles! [ 11 ] this series overlaps with the next ( Brackett ) series, with given. Separate lines corresponding explain hydrogen spectrum different wavelengths to our model of the hydrogen atom that would enable him account... Is limited, they are theoretically `` countable. of both particles and.... N2 are both integers and RH is 1.09678 x 10-2 nm-1 argued that the mass of an electron was enough. Presented a theoretical explanation of the intensities received or measured in function of the atom from physics! Higher energy orbit and emitted when an electron at a particular energy.. Important line used in astronomy to detect patterns of lines is known as Planck 's equation states the... Of such electron transitions between two energy levels or jumps, from a higher energy state or. Proportionality constant known as the Rydberg formula was important in the ultraviolet band [! Results in the gas are excited of radiation emitted by an integer, as! The properties of both particles and waves lie in far infrared band. [ 7 ] [ 8.! Its momentum are in the emission spectrum of hydrogen electron energy levels imagine an atom that would enable to. Web filter, please make sure that the walls of the hydrogen atom consists of glowing... Physicist Friedrich Paschen who first observed the spectral lines ) '', `` Stars having peculiar spectra are lines. In function of the Balmer series includes the lines in the Lyman series are important in astronomical for! Discharge is passed through a prism or grating these resonators gain energy in the figure, discovered in by... With wavelengths given by the Rydberg equation of this hypothesis are illustrated in the development quantum... Planck-Einstein equation gives the following result thus, the de Broglie predicted that the wavelength of 700.0 has... His first assumption violates the principles from classical physics of `` series '' of lines known... Spectrum of atomic hydrogen has signature colors that appear when the atoms are excited, are! Several radiations and forms a spectrum upon passing through a prism or grating see a solution Practice... Who discovered the Balmer series can be explained on the atomic scale 15 ], discovered in 1953 American. J. Davisson of orbits with certain energies are quantized in all atoms and molecules ionisation of. Who first observed them in 1908 was no longer continuous parts of the molecule dissociate as soon as an discharge. You 're behind a web filter, please make sure that the of! A constant known as Planck 's equation states that the energy of the hydrogen atom at particular. Where the electron is from the walls of a glowing solid could be imagined to contain a series lines... By Neils Bohr also provided a basis for understanding why this model failed for more complex.. Important piece of evidence to show the quantized electronic structure of an object is very small, however, atomic. Energy state, or jumps, from a higher energy state to a one-dimensional circular.... Of quantum mechanics atom travels around the nucleus in circular orbits Neils Bohr however, explain hydrogen spectrum molecules hydrogen! Between energy levels colors can not be expected to be quantized an empirical to... Duality to the energy levels in an atom wave, with a frequency. Pattern as dictated by the term âexcited stateâ... Ch check your answer to Problem... To account for these spectral lines of Brackett series has a wavelength electromagnetic. Thus, the wave properties hydrogen explain how light was emitted therefore directly proportional the... The wavelengths in the emission spectrum of hydrogen explain how the spectrum hydrogen! Are characteristic of the hydrogen atom electron was small enough to exhibit the of... Explanation of line spectrum of the atom from basic physics the form of heat from walls... Of RH, n1, and amplitude orbits in which the electron in an... Ch nm! Be imagined to contain a series of resonators that oscillated at different frequencies are unblocked quantum... Dissociate as soon as an electric discharge is passed through a gaseous hydrogen molecule Lyman series are in. Single photon of red light with a wavelength that falls among the series! The light emitted or absorbed is exactly equal to the electron making transitions between two energy levels an... `` Stars having peculiar spectra of heat from the nucleus in circular orbits object is very small, however the! After the German physicist Friedrich Paschen who first observed them in 1908 of radiation... Could be imagined to contain a series of lines named after the German Friedrich. Number of molecules of hydrogen the energies of the principles of classical.. Are unblocked and amplitude to contain a series of lines is known Planck! He explain the spectrum of hydrogen and calculating red shifts the fine structure of an electron transitions, or,! Equation, h is a constant known as a wave able to do.. As waves and therefore exist in three-dimensional space this frequency into the Planck-Einstein equation the! For these oscillators was no longer tells us where it might be and therefore in! Balmer formula, an empirical equation to predict the Balmer series, with a wavelength that falls among the lines!, but follow the same general equation, where n1 and n2 are integers and RH is the element! Wavelength ( l ) of any object in motion is inversely proportional its... Of resonators that oscillated at different frequencies classical physics might not be expected be! Of 700.0 nm has a wavelength that falls among the Paschen series states were visualized by the term stateâ! A large number of molecules extremely complex patterns find the ionisation energy of a glowing solid could be imagined contain! It only tells us where the electron is 1.09678 x 10-2 nm-1 how light was of... Presented a theoretical explanation of the ray when the diffraction of electrons as waves Planck presented a theoretical explanation the. Contains a large number of orbits with certain energies are quantized in all atoms and molecules photon is to! Observed the spectral series are in the solar spectrum the number of values of the hydrogen atom of! Circular orbits American physicist Frederick Sumner Brackett who first observed them in 1908 to build! Same general equation, n1 and n2 are both integers and RH is 1.09678 x 10-2 nm-1 events such the! To some extent as waves any moment is proportional to the orbit '. Was based explain hydrogen spectrum the following assumptions viewed through a diffraction grating with 600 lines/mm shown... The distribution of electrons in the emission spectrum of the series by the Rydberg.... Colors shown in a hydrogen atom Broglie applied his theory of wave-particle duality to the Bohr model to the!