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Solid-state physics

"State theory" redirects here. For theories in political science, see State (polity).

Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the large-scale properties of solid materials result from their atomic-scale properties. Thus, solid-state physics forms a theoretical basis of materials science. It also has direct applications, for example in the technology of transistors and semiconductors.

Contents

Solid materials are formed from densely packed atoms, which interact intensely. These interactions produce the mechanical (e.g. hardness and elasticity), thermal, electrical, magnetic and optical properties of solids. Depending on the material involved and the conditions in which it was formed, the atoms may be arranged in a regular, geometric pattern (crystalline solids, which include metals and ordinary water ice) or irregularly (an amorphous solid such as common window glass).

The bulk of solid-state physics, as a general theory, is focused on crystals. Primarily, this is because the periodicity of atoms in a crystal — its defining characteristic — facilitates mathematical modeling. Likewise, crystalline materials often have electrical, magnetic, optical, or mechanical properties that can be exploited for engineering purposes.

The forces between the atoms in a crystal can take a variety of forms. For example, in a crystal of sodium chloride (common salt), the crystal is made up of ionic sodium and chlorine, and held together with ionic bonds. In others, the atoms share electrons and form covalent bonds. In metals, electrons are shared amongst the whole crystal in metallic bonding. Finally, the noble gases do not undergo any of these types of bonding. In solid form, the noble gases are held together with van der Waals forces resulting from the polarisation of the electronic charge cloud on each atom. The differences between the types of solid result from the differences between their bonding.

The physical properties of solids have been common subjects of scientific inquiry for centuries, but a separate field going by the name of solid-state physics did not emerge until the 1940s, in particular with the establishment of the Division of Solid State Physics (DSSP) within the American Physical Society. The DSSP catered to industrial physicists, and solid-state physics became associated with the technological applications made possible by research on solids. By the early 1960s, the DSSP was the largest division of the American Physical Society.

Large communities of solid state physicists also emerged in Europe after World War II, in particular in England, Germany, and the Soviet Union. In the United States and Europe, solid state became a prominent field through its investigations into semiconductors, superconductivity, nuclear magnetic resonance, and diverse other phenomena. During the early Cold War, research in solid state physics was often not restricted to solids, which led some physicists in the 1970s and 1980s to found the field of condensed matter physics, which organized around common techniques used to investigate solids, liquids, plasmas, and other complex matter. Today, solid-state physics is broadly considered to be the subfield of condensed matter physics, often referred to as hard condensed matter, that focuses on the properties of solids with regular crystal lattices.

An example of a cubic lattice

Many properties of materials are affected by their crystal structure. This structure can be investigated using a range of crystallographic techniques, including X-ray crystallography, neutron diffraction and electron diffraction.

The sizes of the individual crystals in a crystalline solid material vary depending on the material involved and the conditions when it was formed. Most crystalline materials encountered in everyday life are polycrystalline, with the individual crystals being microscopic in scale, but macroscopic single crystals can be produced either naturally (e.g. diamonds) or artificially.

Real crystals feature defects or irregularities in the ideal arrangements, and it is these defects that critically determine many of the electrical and mechanical properties of real materials.

Properties of materials such as electrical conduction and heat capacity are investigated by solid state physics. An early model of electrical conduction was the Drude model, which applied kinetic theory to the electrons in a solid. By assuming that the material contains immobile positive ions and an "electron gas" of classical, non-interacting electrons, the Drude model was able to explain electrical and thermal conductivity and the Hall effect in metals, although it greatly overestimated the electronic heat capacity.

Arnold Sommerfeld combined the classical Drude model with quantum mechanics in the free electron model (or Drude-Sommerfeld model). Here, the electrons are modelled as a Fermi gas, a gas of particles which obey the quantum mechanical Fermi–Dirac statistics. The free electron model gave improved predictions for the heat capacity of metals, however, it was unable to explain the existence of insulators.

The nearly free electron model is a modification of the free electron model which includes a weak periodic perturbation meant to model the interaction between the conduction electrons and the ions in a crystalline solid. By introducing the idea of electronic bands, the theory explains the existence of conductors, semiconductors and insulators.

The nearly free electron model rewrites the Schrödinger equation for the case of a periodic potential. The solutions in this case are known as Bloch states. Since Bloch's theorem applies only to periodic potentials, and since unceasing random movements of atoms in a crystal disrupt periodicity, this use of Bloch's theorem is only an approximation, but it has proven to be a tremendously valuable approximation, without which most solid-state physics analysis would be intractable. Deviations from periodicity are treated by quantum mechanical perturbation theory.

Modern research topics in solid-state physics include:

  1. Martin, Joseph D. (2015). "What's in a Name Change? Solid State Physics, Condensed Matter Physics, and Materials Science"(PDF). Physics in Perspective. 17 (1): 3–32. Bibcode:2015PhP....17....3M. doi:10.1007/s00016-014-0151-7. S2CID 117809375.
  2. Hoddeson, Lillian; et al. (1992). Out of the Crystal Maze: Chapters from The History of Solid State Physics. Oxford University Press. ISBN 9780195053296.
  3. Hoffmann, Dieter (2013). "Fifty Years of Physica Status Solidi in Historical Perspective". Physica Status Solidi B. 250 (4): 871–887. Bibcode:2013PSSBR.250..871H. doi:10.1002/pssb.201340126.
  • Neil W. Ashcroft and N. David Mermin, Solid State Physics (Harcourt: Orlando, 1976).
  • Charles Kittel, Introduction to Solid State Physics (Wiley: New York, 2004).
  • H. M. Rosenberg, The Solid State (Oxford University Press: Oxford, 1995).
  • Steven H. Simon, The Oxford Solid State Basics (Oxford University Press: Oxford, 2013).
  • Out of the Crystal Maze. Chapters from the History of Solid State Physics, ed. Lillian Hoddeson, Ernest Braun, Jürgen Teichmann, Spencer Weart (Oxford: Oxford University Press, 1992).
  • M. A. Omar, Elementary Solid State Physics (Revised Printing, Addison-Wesley, 1993).
  • Hofmann, Philip (2015-05-26). Solid State Physics (2 ed.). Wiley-VCH. ISBN 978-3527412822.


Wikimedia Commons has media related toSolid state physics.

Solid-state physics
Solid state physics Language Watch Edit 160 160 Redirected from Solid state physics State theory redirects here For theories in political science see State polity Solid state physics is the study of rigid matter or solids through methods such as quantum mechanics crystallography electromagnetism and metallurgy It is the largest branch of condensed matter physics Solid state physics studies how the large scale properties of solid materials result from their atomic scale properties Thus solid state physics forms a theoretical basis of materials science It also has direct applications for example in the technology of transistors and semiconductors Contents 1 Background 2 History 3 Crystal structure and properties 4 Electronic properties 5 Modern research 6 See also 7 References 8 Further readingBackground EditSolid materials are formed from densely packed atoms which interact intensely These interactions produce the mechanical e g hardness and elasticity thermal electrical magnetic and optical properties of solids Depending on the material involved and the conditions in which it was formed the atoms may be arranged in a regular geometric pattern crystalline solids which include metals and ordinary water ice or irregularly an amorphous solid such as common window glass The bulk of solid state physics as a general theory is focused on crystals Primarily this is because the periodicity of atoms in a crystal its defining characteristic facilitates mathematical modeling Likewise crystalline materials often have electrical magnetic optical or mechanical properties that can be exploited for engineering purposes The forces between the atoms in a crystal can take a variety of forms For example in a crystal of sodium chloride common salt the crystal is made up of ionic sodium and chlorine and held together with ionic bonds In others the atoms share electrons and form covalent bonds In metals electrons are shared amongst the whole crystal in metallic bonding Finally the noble gases do not undergo any of these types of bonding In solid form the noble gases are held together with van der Waals forces resulting from the polarisation of the electronic charge cloud on each atom The differences between the types of solid result from the differences between their bonding History EditThe physical properties of solids have been common subjects of scientific inquiry for centuries but a separate field going by the name of solid state physics did not emerge until the 1940s in particular with the establishment of the Division of Solid State Physics DSSP within the American Physical Society The DSSP catered to industrial physicists and solid state physics became associated with the technological applications made possible by research on solids By the early 1960s the DSSP was the largest division of the American Physical Society 1 2 Large communities of solid state physicists also emerged in Europe after World War II in particular in England Germany and the Soviet Union 3 In the United States and Europe solid state became a prominent field through its investigations into semiconductors superconductivity nuclear magnetic resonance and diverse other phenomena During the early Cold War research in solid state physics was often not restricted to solids which led some physicists in the 1970s and 1980s to found the field of condensed matter physics which organized around common techniques used to investigate solids liquids plasmas and other complex matter 1 Today solid state physics is broadly considered to be the subfield of condensed matter physics often referred to as hard condensed matter that focuses on the properties of solids with regular crystal lattices Crystal structure and properties Edit An example of a cubic lattice Many properties of materials are affected by their crystal structure This structure can be investigated using a range of crystallographic techniques including X ray crystallography neutron diffraction and electron diffraction The sizes of the individual crystals in a crystalline solid material vary depending on the material involved and the conditions when it was formed Most crystalline materials encountered in everyday life are polycrystalline with the individual crystals being microscopic in scale but macroscopic single crystals can be produced either naturally e g diamonds or artificially Real crystals feature defects or irregularities in the ideal arrangements and it is these defects that critically determine many of the electrical and mechanical properties of real materials Electronic properties EditProperties of materials such as electrical conduction and heat capacity are investigated by solid state physics An early model of electrical conduction was the Drude model which applied kinetic theory to the electrons in a solid By assuming that the material contains immobile positive ions and an electron gas of classical non interacting electrons the Drude model was able to explain electrical and thermal conductivity and the Hall effect in metals although it greatly overestimated the electronic heat capacity Arnold Sommerfeld combined the classical Drude model with quantum mechanics in the free electron model or Drude Sommerfeld model Here the electrons are modelled as a Fermi gas a gas of particles which obey the quantum mechanical Fermi Dirac statistics The free electron model gave improved predictions for the heat capacity of metals however it was unable to explain the existence of insulators The nearly free electron model is a modification of the free electron model which includes a weak periodic perturbation meant to model the interaction between the conduction electrons and the ions in a crystalline solid By introducing the idea of electronic bands the theory explains the existence of conductors semiconductors and insulators The nearly free electron model rewrites the Schrodinger equation for the case of a periodic potential The solutions in this case are known as Bloch states Since Bloch s theorem applies only to periodic potentials and since unceasing random movements of atoms in a crystal disrupt periodicity this use of Bloch s theorem is only an approximation but it has proven to be a tremendously valuable approximation without which most solid state physics analysis would be intractable Deviations from periodicity are treated by quantum mechanical perturbation theory Modern research EditModern research topics in solid state physics include High temperature superconductivity Quasicrystals Spin glass Strongly correlated materials Two dimensional materials NanomaterialsSee also Edit Physics portal Condensed matter physics Crystallography Nuclear spectroscopyReferences Edit a b Martin Joseph D 2015 What s in a Name Change Solid State Physics Condensed Matter Physics and Materials Science PDF Physics in Perspective 17 1 3 32 Bibcode 2015PhP 17 3M doi 10 1007 s00016 014 0151 7 S2CID 117809375 Hoddeson Lillian et al 1992 Out of the Crystal Maze Chapters from The History of Solid State Physics Oxford University Press ISBN 9780195053296 Hoffmann Dieter 2013 Fifty Years of Physica Status Solidi in Historical Perspective Physica Status Solidi B 250 4 871 887 Bibcode 2013PSSBR 250 871H doi 10 1002 pssb 201340126 Further reading EditNeil W Ashcroft and N David Mermin Solid State Physics Harcourt Orlando 1976 Charles Kittel Introduction to Solid State Physics Wiley New York 2004 H M Rosenberg The Solid State Oxford University Press Oxford 1995 Steven H Simon The Oxford Solid State Basics Oxford University Press Oxford 2013 Out of the Crystal Maze Chapters from the History of Solid State Physics ed Lillian Hoddeson Ernest Braun Jurgen Teichmann Spencer Weart Oxford Oxford University Press 1992 M A Omar Elementary Solid State Physics Revised Printing Addison Wesley 1993 Hofmann Philip 2015 05 26 Solid State Physics 2 ed Wiley VCH ISBN 978 3527412822 Wikimedia Commons has media related to Solid state physics Retrieved from https en wikipedia org w index php title Solid state physics amp oldid 1049904158, wikipedia, wiki, book,

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