Due to the smallness of Planck's constant it is practically impossible to realize experiments that directly reveal the wave nature of any system bigger than a few atoms but, in general, quantum mechanics considers all matter as possessing both particle and wave behaviors.

Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics.

Due to the strong nuclear force, whenever the triton and the deuteron in the muonic molecular ion happen to get even closer to each other during their periodic vibrational motions, the probability is very greatly enhanced that the positively charged triton and the positively charged deuteron would undergo quantum tunnelling through the repulsive Coulomb barrier that acts to keep them apart.

Due to its canonical assumption of determinism, Laplace's demon is incompatible with interpretations of quantum mechanics that stipulate indeterminacy.

In its quantum mechanical formulation, it amounts to solving the Schrödinger equation with the potential V ( r ) which depend only on r, the modulus of r. Due to the spherical symmetry of the system it is useful to use spherical coordinates r, and.

Due to the problematic divergences present in quantum field theory at that time Heisenberg was motivated to isolate the essential features of the theory that would not be affected by future changes as the theory developed.

Due to the tight confinement of charge carriers in quantum dots, they exhibit an electronic structure similar to atoms.

Due to the interaction with the environment, the vast majority of states in the Hilbert space of a quantum open system become highly unstable to entangling interaction with the environment, which in effect monitors selected observables of the system.

Due to the quantum nature of time, he could not travel back in time a short distance to find out what happened.

Due to the high elastic potential energy once a certain critical thickness is achieved, additional atoms group together to form the quantum dot to reduce this elastic energy.

Due to the Pauli exclusion principle, two electrons cannot share the same set of quantum numbers within the same system ; therefore, there is room for only two electrons in each spatial orbital.

Due to the nature of quantum field theory, these " fundamental " particles can however be viewed differently depending on the situation ( see below ).

Due to the difficulty in measuring these parameters directly, other parameters are measured instead: thermodynamic efficiency, quantum efficiency, integrated quantum efficiency, V < sub > OC </ sub > ratio, and fill factor.

Due to game mechanics, it is simpler to travel forward in time than backwards.

Due to the simplistic body mechanics involved in execution, the tomahawk is employed by players of all sizes and jumping abilities.

Due to the complicated Time-Travels mechanics, Booster's future self, " currently " operating from an unknown era with his time-travel educated wife, still watches over his past self and his son, making sure that Rip Hunter is able to give his past self proper schooling.

Due to its distinctive topological structure, the statistical mechanics of lattice models on this graph are often exactly solvable.

Due to this increase in pressure, the parcel's volume decreases and its temperature increases, thus increasing the internal energy.

* Due to the energy gap, the specific heat of the superconductor is suppressed strongly ( exponentially ) at low temperatures, there being no thermal excitations left.

Due to the sparse energy and raw material resources, Hungary is forced to import most of these materials to satisfy the demands of the industry.

Due to angular momentum conservation, states of the same ℓ but different m have the same energy ( this holds for all problems with rotational symmetry ).

Due to rising prices for energy, fuel, and food on international markets, inflation increased in the first half of 2011, but later decreased to an annualized rate of 3. 4 % at the end of September.

Due to the extremely large value of the speed of light, c, a small decrease in mass is associated with a tremendous release of active energy ( for example, the kinetic energy of the fission fragments ).

Due to their low energy, these electrons originate within a few nanometers from the sample surface.

Due to the energy requirements of refrigeration and the high cost of superconducting wire, SMES is currently used for short duration energy storage.

Due to the lack of natural resources on the island, Taiwan is forced to import many of its energy needs ( currently at 98 %).

Due to the climate, carnivorous diets are an inefficient means of obtaining energy ; energy is limited, and most energy is lost between trophic levels.

Due to the higher energy density of the nuclear fuel compared to chemical fuels, about 10 < small >< sup > 7 </ sup ></ small > times, the resulting propellant efficiency ( effective exhaust velocity ) of the engine is at least twice as good as chemical engines.

Due to conservation of energy, the same amount of mechanical energy ( work ) is required to lift a given object by a given vertical distance, disregarding losses from friction, but the inclined plane allows the same work to be done with a smaller force exerted over a greater distance.

Due to energy stored in the load and returned to the source, or due to a non-linear load that distorts the wave shape of the current drawn from the source, the apparent power will be greater than the real power.

Due to the windy climate, the most important renewable energy in Gallura is the wind power.

Due to the shape of the potential barrier, according to these principles, a free electron must have an energy greater than or equal to that of the potential barrier in order to make it over.

Due to the high energy usage, they are a major source of the pollution that causes urban air quality problems and pollutants that contribute to climate change.

Due to the lower lack or wealth and education on American Indian reservations, and their status as a minority, the U. S. government has allowed the encroachment of mining and energy companies for over 40 years to develop the Dine ’ lands, creating environmental and health devastation and loss of aquifer water resources.

Due to the Fourier limit ( also known as energy-time uncertainty ), a pulse of such short temporal length has a spectrum spread over a considerable bandwidth.

Due to the Doppler shift, the absorption lines in the spectrum of a star will be shifted slightly toward the red ( or longer wavelengths ) if the star is moving away from the observer, or toward blue ( or shorter wavelengths ) when it moves toward the observer.

Due to the Doppler effect, the rotation rate of a star affects the width of the absorption lines in the spectrum.

Due to the wide range of styles, Chardonnay has the potential to be paired with a diverse spectrum of food types.

Due to the inhomogeneous portion of the linewidth broadening of the dopant ions, the gain spectrum has an inhomogeneous component and gain saturation occurs, to a small extent, in an inhomogeneous manner.

Due to the unplanned nature of patient attendance, the department must provide initial treatment for a broad spectrum of illnesses and injuries, some of which may be life-threatening and require immediate attention.

Due to the enormous quantity of 802. 11 " Wi-Fi " equipment and software, coupled with the fact that spectrum licenses are not required in the ISM and U-NII bands, the industry has moved well ahead of the regulators and the standards bodies.

Due to their architecture, bench top spectrum analyzers typically weigh more than.

Due to the vast potentially different combination of the employees ’ formal hierarchical and informal community participation, each organization is therefore a unique phenotype along a spectrum between a pure hierarchy and a pure community ( flat ) organizational structure.

Due in large part to its ability to deliver digital-quality sound and services while leveraging existing analog spectrum, commercial implementation of the technology is gaining momentum in various countries throughout the world, including Brazil, Mexico and The Philippines.

Due to the relativistic velocities of the electrons, that light is Lorentz-contracted into the x-ray band of the electromagnetic spectrum.

Due to FCC regulations regarding duplication of frequencies, the PrimeCo territories were split up with: most of the Gulf Coast going into Verizon Wireless, except in Houston, where Verizon Wireless retained 10 MHz of spectrum and the remaining 20 MHz were sold to AT & T Wireless ; Virginia and North Carolina territories sold to CFW Communications, a regional landline telecom provider since 1987, now operating under the name of nTelos ; and the Midwest territories split up, with Wisconsin going into Verizon Wireless, and the Illinois and Indiana territories-like Houston-were disaggregated, with Verizon Wireless retaining 10 MHz of spectrum, and the remaining 20 MHz placed into a trust fund.

Due to bombardment by extra-dimensional energies, Monica can transform herself into any form of energy within the electromagnetic spectrum.

Due to this diverse talent pool, the music for Mystic India covers a wide spectrum, ranging from western symphony to Indian traditional music.

Due to its unique spot in the spectrum, 10 metres can be fascinating, if not occasionally challenging, to work.

Due to Alternative Greens policy of publishing articles from across the political spectrum, the remaining Green Anarchist staff constantly accused Hunt of supporting fascism and a red-green-brown alliance, while British left-anarchist writer Stewart Home accused both Alternative Green and Green Anarchist of supporting ecofascism.

Due to the difficulty of purchasing a band in Los Angeles ' overcrowded frequency spectrum, the station is not currently considering purchasing one.