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[A~C] [D~H] [I~N] [O~T] [U~Z]

ultraviolet catastrophe

A shortcoming of the Rayleigh-Jeans formula, which attempted to describe the radiancy of a blackbody at various frequencies of the electromagnetic spectrum. It was clearly wrong because as the frequency increased, the radiancy increased without bound; something quite not observed; this was dubbed the "ultraviolet catastrophe." It was later reconciled and explained by the introduction of the Planck radiation law.

uncertainty principle (W. Heisenberg; 1927)

A principle, central to quantum mechanics, which states that two complementary parameters (such as position and momentum, energy and time, or angular momentum and angular displacement) cannot both be known to infinite accuracy; the more you know about one, the less you know about the other. It can be illustrated in a fairly clear way as it relates to position vs. momentum: To see something (let's say an electron), we have to fire photons at it; they bounce off and come back to us, so we can "see" it. If you choose low-frequency photons, with a low energy, they do not impart much momentum to the electron, but they give you a very fuzzy picture, so you have a higher uncertainty in position so that you can have a higher certainty in momentum. On the other hand, if you were to fire very high-energy photons (x-rays or gammas) at the electron, they would give you a very clear picture of where the electron is (higher certainty in position), but would impart a great deal of momentum to the electron (higher uncertainty in momentum). In a more generalized sense, the uncertainty principle tells us that the act of observing changes the observed in fundamental way.

uniformity principle (E.P. Hubble)

The principle that the laws of physics here and now are not different, at least qualitatively, from the laws of physics in previous or future epochs of time, or elsewhere in the Universe. This principle was scoffed at by the ancients who believed that the laws that governed the Earth and those that governed the heavens were completely divorced; now it is used routinely in cosmology to describe the structure and evolution of the Universe.

universal age paradox

Two of the most straightforward methods of calculating the age of the Universe -- through redshift measurements, and through stellar evolution -- yield incompatible results. Recent (mid 1990s) measurements of the distances of distant galaxies through the use of the Hubble Space Telescope indicate an age much less than the ages of the oldest stars that we calculate through stellar evolution theory. At present there is no conclusion to this paradox; a cosmological constant would rectify the situation, but it's possible that the discrepancy will disappear with more accurate measurements of the age of the Universe using both methods.

universal constant of gravitation; G

The constant of proportionality in Newton's law of universal gravitation and which plays an analogous role in A. Einstein's general relativity. It is equal to 6.672 x 10-11 N m2/kg2.

van der Waals force (J.D. van der Waals)

Forces responsible for the non-ideal behavior of gases, and for the lattice energy of molecular crystals. There are three causes: dipole-dipole interaction; dipole-induced dipole moments; and dispersion forces arising because of small instantaneous dipoles in atoms.

wave-particle duality

The principle of quantum mechanics which implies that light (and, indeed, all other subatomic particles) sometimes act like a wave, and sometime act like a particle, depending on the experiment you are performing. For instance, low frequency electromagnetic radiation tends to act more like a wave than a particle; high frequency electromagnetic radiation tends to act more like a particle than a wave.

weak equivalence principle; principle of uniqueness of freefall

The idea within general relativity that the worldline of a freefalling body is independent of its composition, structure, or state. This principle, embraced by Newtonian mechanics and gravitation when Newton set the inertial and gravitational masses equal to each other. This principle is incorporated into a stronger version with the equivalence principle.

weber; Wb (after W. Weber, 1804-1891)

The derived SI unit of magnetic flux equal to the flux that, linking a circuit of one turn, produces in it an electromotive force of 1 V as it is reduced to zero at a uniform rate in a period of 1 s; it thus has units of V s.

Weiss constant

A characteristic constant dependent on the material, used in calculating the susceptibility of paramagnetic materials. See Curie-Weiss law.

Wiedemann-Franz law

The ratio of the thermal conductivity of any pure metal to its electrical conductivity is approximately constant for any given temperature. This law holds fairly well except at low temperatures.

Wien displacement law

For a blackbody, the product of the wavelength corresponding to the maximum radiancy and the thermodynamic temperature is a constant, the Wien displacement law constant. As a result, as the temperature rises, the maximum of the radiant energy shifts toward the shorter wavelength (higher frequency and energy) end of the spectrum.

Wien's displacement law constant, b

The constant of the Wien displacement law. It has the value 2.897 756 x 10-3 m K.

Woodward-Hoffmann rules

Rules governing the formation of products during certain types of organic reactions.

Young's experiment; double-slit experiment (T. Young; 1801)

A famous experiment which shows the wave nature of light (and indeed of other particles). Light is passed from a small source onto an opaque screen with two thin slits. The light is refracted through these slits and develops an interference pattern on the other side of the screen.

Zeeman effect; Zeeman line splitting (P. Zeeman; 1896)

The splitting of the lines in a spectrum when the source is exposed to a magnetic field.

       
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(C) 1999 Tony Lee, Yuanli Zhou, Shawn Cheng.
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