Max Planck

Quantum properties of light

In 1900, the German physicist Max Planck made a hypothesis: light is emitted and absorbed not continuously, but in separate portions - quanta(or photons). Energy E of each photon is determined by the formula E = hv , where h - coefficient of proportionality - Planck's constant, v is the frequency of the light. Empirically calculated h= 6.63 10 -34 J s. The hypothesis of M. Planck explained many phenomena, namely, the phenomenon photoelectric effect, discovered in 1887 by the German scientist G. Hertz. Further photoelectric effect studied experimentally by the Russian scientist Stoletov.

They were victims of Nazism, prisoners of German concentration camps. After the war, Einstein lobbied for nuclear disarmament and world government: “If the Third World War stones and sticks will fight in the fourth world." On the other hand, he despised nationalism and expressed doubts about whether a Jewish state was the best solution. Initially, he imagined that Jews and Arabs would live together on the same land. A few years before his death, Israel offered him to become its second president, but Einstein refused him, not possessing the necessary human qualities.

Photoelectric effect and its laws

Scheme of Stoletov's experiment

The photoelectric effect is the expulsion of electrons from a substance by the action of light.
As a result of the research, it was found 3 laws of photoelectric effect:
1. The saturation photocurrent is directly proportional to the incident light flux.
2. The maximum kinetic energy of photoelectrons grows linearly with the frequency of light and depends on its intensity.
3. For each substance, there is a maximum wavelength at which the photoelectric effect is still observed. At long lengths, there is no photoelectric effect.

Albert Einstein, Albert Schweitzer and Bertrand Russell fought nuclear tests and bombs. Together with the Pugwash Conferences on Science and World Affairs and Bertrand Russell, he published the Russell-Einstein manifesto and organized several conferences.

Let's say, for example, thermal, chemical, mechanical, radioactive, but above all, light energy. The interaction of electromagnetic radiation, that is, light, with tissues is based on a healing method that we professionally call phototherapy. Phototherapy is modern method treatment that uses the most natural source of light energy. Light is a concept directly related to the essence of life. Although we constantly meet with him and whether he is in a natural form or as an inexhaustible source, in a century nothing was known about his physical essence, and his study was in the hands of theologians.

The theory of the photoelectric effect was created by the German scientist A. Einstein in 1905. Einstein's theory is based on the concept of the work function of electrons from a metal and the concept of quantum radiation Sveta. According to Einstein's theory, the photoelectric effect has the following explanation: by absorbing a quantum of light, an electron acquires energy. When leaving the metal, the energy of each electron decreases by a certain amount, which is called the work function ( Avy) . The work function is the minimum energy that must be imparted to an electron in order for it to leave the metal. It depends on the type of metal and the condition of its surface. Maximum Energy electrons after the escape (if there are no other losses) has the form :

Only in and in the following century, mainly Italian and French physicists, received a set of knowledge that eventually led to the idea of ​​the corpuscular nature of light. But in the first half of the seventeenth century, no one could explain the essence of flowers. Only at the end of this century, for the first time, light was a wave that propagated in space with the same speed and in all directions from every point on the surface of the body. A new field appears quantum physics. According to her, light has a dual character, wave and corpuscular.

Just now we are talking on the duality of waves and particles. The therapeutic use of light in scientific medicine is recorded only in a century. At the beginning of the century, light-emitting institutes were established around the world, used to process special lamps that emit light with various lengths waves, both visible and infrared or ultraviolet, which at the end was designated by the technical term as the dark part of vision. Edward Slavik, pioneer of light therapy in our country. The development of resort tourism, the construction of famous resorts in Greece, Italy, the French Riviera, or the development of alpine sanatoriums, allowed doctors to recommend a long-term stay in the mountain air, associated with the sun, as a method of treatment.

this is the Einstein equation.

If a h v< Avy , the photoelectric effect does not occur. Limit frequency v min and limiting wavelength λ max called red border photo effect. It is expressed like this: v min \u003d A / h, λ max \u003d λ cr \u003d hc/A, where λ max (λ cr) is the maximum wavelength at which the photoelectric effect is still observed. The red border of the photoelectric effect is different for different substances, because BUT depends on the type of substance.

For many years, almost before the discovery of antibiotics, heliotherapy, along with the treatment of diet and the introduction of a high-calorie diet, was the only treatment for pulmonary tuberculosis. Today we use heliotherapy primarily in the prevention of diseases. In the therapeutic use of sunlight, we must never forget the effects of ultraviolet and infrared sunlight, although light in visible wavelengths is predominantly represented. Dependence of phototherapy on meteorological conditions led to the development of diminishing light sources.

Application of the photoelectric effect in technology.
Devices based on the principle of operation of which is the phenomenon of the photoelectric effect are called photocells. The simplest such device is vacuum photocell. The disadvantages of such a photocell are: weak current, low sensitivity to long-wave radiation, complexity in manufacturing, impossibility of use in circuits alternating current. It is used in photometry to measure the intensity of light, brightness, illumination, in cinema to reproduce sound, in phototelegraphs and phototelephones, in the management of production processes.

Their development made it possible to more deeply study the effects of light on a living cell and demonstrated a strong relationship between the wavelength of light rays and the reaction of the organism. While monochromatic light with a wavelength of less than 550 nm or more than 900 nm slows down cell division, the diffraction of light between 550 and 900 nm accelerates. The wavelength of irradiated tissue is important because of its different absorption by water, hemoglobin and skin and melanin. Modern phototherapy uses several types of light sources, which differ both in their physical properties as well as its effect on living organisms.

There are semiconductor photocells in which, under the influence of light, the concentration of current carriers changes. The device of photoresistors is based on this phenomenon (internal photoelectric effect). They are used in automatic control electrical circuits(for example, in subway turnstiles), in AC circuits, in watches, calculators. Semiconductor photocells are used in solar panels on the spaceships, in the first cars.

Although some types of light have been used for decades and have become an integral part of medical settings, others have been used in medicine for the past few years. Here we mean laser. 6 7. Thus, they are called quantum light generators and radiation amplifiers, that is, optical sources of electromagnetic radiation. In accordance with the characteristics of the laser beam, we divide lasers into non-invasive, therapeutic and invasive, surgical. The laser beam is characterized by one color, coherence and polarization.

Based on Maxwell's laws of electrodynamics, according to which light is an electromagnetic wave continuously distributed in space, they turned out to be ineffective. It was impossible to understand why the energy of photoelectrons is determined only by the frequency of light and why only at a sufficiently small wavelength light pulls out electrons.

These features allow you to project the required power onto a small area. A hard ruby ​​laser was used for retinal coagulation and skin vascular tying. Its main advantages are mainly knowledge in the field of dermatological surgery and oncology. And, of course, it is interesting that the work of clinicians and researchers from Central and Eastern Europe significantly dominated. Significant progress in non-invasive laser therapy has occurred since the discovery of the helium-neon laser beam source, and especially since the end of the year with the development of miniature operationally reliable semiconductor sources, physicians can create a laser beam of any power and wavelength.

The explanation of the photoelectric effect was given in 1905 by Einstein, who developed Planck's ideas about the intermittent emission of light. In the experimental laws of the photoelectric effect, Einstein saw convincing evidence that light has a discontinuous structure and is absorbed in separate portions.

Czech laser specialists are among the world famous. Here we must remember the work of Prof. Dr. Jiří Hubáček, MD, Honorary Head of the Otorhinolaryngology Clinic of the Faculty Hospital in Olomouc, who we can consider to be the founder of the Czech School and who brought up several students in this course. Today there are several centers in the Czech Republic that focus on the use of phototherapy in selected medical disciplines and an overview of which is given at the end of this guide.

The energy E of each portion of radiation, in full accordance with Planck's hypothesis, is proportional to the frequency:

where h is Planck's constant.

From the fact that light is emitted in portions, the conclusion about the discontinuity of the structure of the light itself does not yet follow. After all, mineral water is also sold in bottles, but it does not follow from this that water consists of indivisible parts.

Both are widely represented in international societies such as the International Academy of Laser Therapy in Medicine and Surgery and the European Medical Laser Association. But the laser is a curable beam that can be damaged if used by a non-professional. Medical personnel, including physicians who work with them, must receive professional training. Therefore, it is undesirable to use the general public. However, not everyone has the opportunity to visit a workplace equipped with a laser.

However, it would be a shame not to take advantage of the beneficial effects of modified light. Therefore, bioptron lamps have been designed to emit polarized light, but this is not coherent. This means that the possibility of damage to the irradiated tissue is minimal, and the non-professional can also work on it after training. Perhaps the greatest benefit of using a bioptron lamp is the minimal side effects.

Just a phenomenon photoelectric effect showed that light has a discontinuous structure: the emitted portion of light energy E = hv retains its individuality in the future. Only the whole portion can be absorbed.

The kinetic energy of a photoelectron can be found by applying the law of conservation of energy. The energy of a portion of light hv is used to perform the work function A and to communicate kinetic energy to the electron.

In the literature, we have not yet encountered a description of an adverse reaction to polarized light therapy. 8 9. The process is constantly repeated and leads to the propagation of waves in space from a given source of electromagnetic waves. Light is a type of electromagnetic wave such as x-rays, gamma rays, ultraviolet rays, infrared rays, or radio waves. These individual types of radiation vary in wavelength and frequency. For the light we call electromagnetic radiation which is perceived by the human eye.

Consequently,

Work function is the minimum energy that must be imparted to an electron in order for it to leave the metal. Equation (11.2) explains the basic facts about the photoelectric effect. The intensity of light, according to Einstein, is proportional to the number of quanta (portions) of energy hv in the light beam and therefore determines the number of electrons torn out of the metal. The speed e of electrons according to formula (11.2) is determined only by the frequency of light v and the work function A, depending on the type of metal and the state of its surface. Speed ​​does not depend on light intensity.

Each wavelength gives rise to a different visual perception, the color of light. Light sources are energy transformations in the atoms of different substances. An atom can receive energy, for example, in the form of heat, light, or electricity. Of course, you have heard of electrons circulating in an atom around their nucleus along certain paths. Under the influence of the supplied energy, they can move a distance from the nucleus. In this state, they do not last long, and after a certain period of time, the electron returns to its original path, and the excess energy is emitted in the form of light.

For each substance, the photoelectric effect is observed only if the frequency v of light is greater than a certain minimum value V min . After all, in order to pull an electron out of a metal even without imparting kinetic energy to it, it is necessary to perform the work function A. Therefore, the quantum energy must be greater than this work:

The limiting frequency V min and the limiting wavelength max are called the red border of the photoelectric effect. They are expressed like this:

The light then propagates from the light source in waves, like circles on the surface of water. The line perpendicular to the wave wave indicates the direction of light propagation and is called a light beam. Environment, in which light can propagate, differs depending on its optical properties. In a transparent transparent medium, there is no absorption of light, which causes the object to be colored in the complementary color of the absorbed wavelength, and there is no scattering of light. Light passes through a transparent medium, but it is partially scattered.

where max (cr) is the maximum wavelength at which the photoelectric effect is still observed. This name appeared by analogy with light waves, since the maximum wavelength visible light corresponds to red.

In an opaque medium, light is strongly absorbed or cannot reach it at all and is reflected on the surface. Depending on whether the optical medium has the same optical properties as a whole, we speak of a homogeneous or inhomogeneous medium. The skin is opaque and heterogeneous. Light travels in different media at different speeds. When light strikes the interface of two different optical media, the light is reflected and refracted. The speed of light in an unstable medium depends on its frequency.

This phenomenon is called light dispersion. Light dispersion allows the use of white light, in which light of all frequencies appears monochromatic. Optical prisms are used to split light. The fringe spectrum is arranged so that at least the red spectral component is deviated and most violet. Significant manifestation of light wavelengths, especially in monochromatic light, is a hindrance. The phenomenon consists of an arrangement of different contributions Coherent light or light with the same frequency laser radiation Incoherent light or light with different phases of light Bioptron waves at a given location.

The work function A depends on the type of substance. Therefore, the limiting frequency Vmin of the photoelectric effect (red border) is different for different substances.

The third law of the photoelectric effect: for each substance there is a maximum wavelength at which the photoelectric effect can still be observed. At longer wavelengths, there is no photoelectric effect.

For zinc, the red border corresponds to the wavelength max = 3.7 10 -7 m (ultravolet radiation).

Its manifestation is the appearance of an interference structure. In monochromatic light, interference manifests itself in the formation of light and dark bands, in white light, the formation of a rainbow. Another significant manifestation of the wavelengths of light is the diffraction or bending of light. As a result, the light does not propagate immediately and also into the area of ​​the geometric shadow created behind the obstacles.

Natural unpolarized light can be polarized in various ways: reflection, refraction, birefringence, or polarizing filters. In the polarization of light by birefringence, the anisotropy of crystals is used, that is, different speeds of light propagation in different directions. Monochrome light is always elliptical. A special case is circular or linear polarization. In applied and technical optics, dichroic polarizers of plastic carriers are often used to generate polarized light in which there are dichroic crystals that exhibit different absorption for different polarized light directions.

This explains the experience of stopping the photoelectric effect with the help of a glass plate that blocks ultraviolet rays. The work function of aluminum or iron is greater than that of zinc. At alkali metals the work function, on the contrary, is less, and the wavelength max , corresponding to the red border, is longer. So, for sodium max = 6.8 10 -34 m.

Using Einstein's equation (11.2), one can find Planck's constant h. To do this, you need to experimentally determine the frequency of light V, the work function A and measure kinetic energy photoelectrons. Similar measurements and calculations give h = 6.63 10 -34 J s. Exactly the same value was found by Planck himself during the theoretical study of a completely different phenomenon - thermal radiation. The coincidence of the values ​​of Planck's constant obtained by different methods additionally confirms the correctness of the assumption about the discontinuous nature of the emission and absorption of light by matter.

Einstein's equation (11.2), despite its apparent simplicity, explains the basic laws of the photoelectric effect. Einstein was awarded Nobel Prize for his work on the theory of the photoelectric effect.


1. What facts testify to the presence of corpuscular properties of light!
2. What is the red border photo effect!

Myakishev G. Ya., Physics. Grade 11: textbook. for general education institutions: basic and profile. levels / G. Ya. Myakishev, B. V. Bukhovtsev, V. M. Charugin; ed. V. I. Nikolaev, N. A. Parfenteva. - 17th ed., revised. and additional - M.: Education, 2008. - 399 p.: ill.

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