出典(authority):フリー百科事典『ウィキペディア(Wikipedia)』「2016/07/22 01:09:14」(JST)
電子ボルト (エレクトロンボルト) |
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記号 | eV |
系 | SI併用単位(SI単位で表される数値が実験的に得られるもの) |
量 | エネルギー |
SI | 6981160217662079999♠1.6021766208(98)×10−19 J[1] |
定義 | 電子1個を1Vの電位差で加速したときのエネルギー |
テンプレートを表示 |
原子核物理学における電子ボルト(エレクトロンボルト、英: electron volt、記号:eV[2])[3]とは、エネルギーの単位を言う。
素電荷をもつ荷電粒子が、7000100000000000000♠1 V の電位差を抵抗なしに通過すると 6981160217648700000♠1 eV のエネルギーを得る。
自由空間内で電子一つが 7000100000000000000♠1 V の電圧で加速されるときのエネルギーを 6981160217648700000♠1 eV と書き 1 電子ボルト(エレクトロンボルト、electron volt)と呼ぶ[4]。原子核物理学に限らず物性物理学から高エネルギー物理学、あるいは化学、半導体工学などの幅広い分野でも使用されるエネルギーの単位である[5]。
他のエネルギー単位への換算した場合については、以下の表のとおり。
ジュール | キロワット時 | 電子ボルト | 重量キログラムメートル | カロリー | |
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1 J | = 1 kg·m²/s² | ≈0.278×10−6 | ≈6.241×1018 | ≈0.102 | ≈0.239 |
1 kWh | = 3.6×106 | = 1 | ≈22.5×1024 | ≈0.367×106 | ≈0.860×106 |
1 eV | ≈0.1602×10−18 | ≈44.5×10−27 | = 1 | ≈16.3×10−21 | ≈38.3×10−21 |
1 kgf·m | = 9.80665 | ≈2.72×10−6 | ≈0.613×1018 | = 1 | ≈2.34 |
1 calIT | = 4.1868 | ≈1.163×10−6 | ≈0.261×1020 | ≈0.427 | = 1 |
なお、質量を電子ボルトに換算する場合[6]、原子質量単位 7000100000000000000♠1 u はおよそ 6990149162630939699♠931 MeV に相当する[7][8]。また、6981160217648700000♠1 eV をボルツマン定数で割り、温度に換算すれば、約 7004116000000000000♠1.16×104 K (= 7000100000000000000♠1 eV/(kB))となる[9]。
電子ボルトは日常生活ではあまり用いられない単位ではあるが、巨視的な物質や現象を素粒子1個単位から記述するのに便利である。このため学問や産業の現場において、光子や電子、原子などの持つエネルギーを表す際に広く利用される。以下、代表的な例を幾つか挙げる。
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記号 | Unicode | JIS X 0213 | 文字参照 | 名称 |
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㋎ | U+32CE |
- | ㋎ ㋎ |
電子ボルト |
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In physics, the electronvolt[1][2] (symbol eV, also written electron volt) is a unit of energy equal to approximately 160 zeptojoules (10−21 joules, symbol zJ) or 6981160000000000000♠1.6×10−19 joules (symbol J). By definition, it is the amount of energy gained (or lost) by the charge of a single electron moving across an electric potential difference of one volt. Thus it is 1 volt (1 joule per coulomb, 7000100000000000000♠1 J/C) multiplied by the elementary charge (e, or 6981160217662079999♠1.6021766208(98)×10−19 C[3]). Therefore, one electronvolt is equal to 6981160217662079999♠1.6021766208(98)×10−19 J.[4] Historically, the electronvolt was devised as a standard unit of measure through its usefulness in electrostatic particle accelerator sciences because a particle with charge q has an energy E = qV after passing through the potential V; if q is quoted in integer units of the elementary charge and the terminal bias in volts, one gets an energy in eV.
γ: Gamma rays | MIR: Mid infrared | HF: High freq. |
HX: Hard X-rays | FIR: Far infrared | MF: Medium freq. |
SX: Soft X-rays | Radio waves | LF: Low freq. |
EUV: Extreme ultraviolet | EHF: Extremely high freq. | VLF: Very low freq. |
NUV: Near ultraviolet | SHF: Super high freq. | VF/ULF: Voice freq. |
Visible light | UHF: Ultra high freq. | SLF: Super low freq. |
NIR: Near Infrared | VHF: Very high freq. | ELF: Extremely low freq. |
Freq: Frequency |
The electronvolt is not an SI unit, and its definition is empirical (unlike the litre, the light year and other such non-SI units), thus its value in SI units must be obtained experimentally.[8] Like the elementary charge on which it is based, it is not an independent quantity but is equal to 1 J/C √2hα / μ0c0. It is a common unit of energy within physics, widely used in solid state, atomic, nuclear, and particle physics. It is commonly used with the metric prefixes milli-, kilo-, mega-, giga-, tera-, peta- or exa- (meV, keV, MeV, GeV, TeV, PeV and EeV respectively). Thus meV stands for milli-electronvolt.
In some older documents, and in the name Bevatron, the symbol BeV is used, which stands for billion electronvolts; it is equivalent to the GeV.
Measurement | Unit | SI value of unit |
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Energy | eV | 6981160217656499999♠1.602176565(35)×10−19 J |
Mass | eV/c2 | 6964178266200000000♠1.782662×10−36 kg |
Momentum | eV/c | 6972534428600000000♠5.344286×10−28 kg⋅m/s |
Temperature | eV/kB | 7004116045049999999♠11604.505(20) K |
Time | ħ/eV | 6984658211900000000♠6.582119×10−16 s |
Distance | ħc/eV | 6993197327000000000♠1.97327×10−7 m |
By mass–energy equivalence, the electronvolt is also a unit of mass. It is common in particle physics, where units of mass and energy are often interchanged, to express mass in units of eV/c2, where c is the speed of light in vacuum (from E = mc2). It is common to simply express mass in terms of "eV" as a unit of mass, effectively using a system of natural units with c set to 1.[9] The mass equivalent of 7000100000000000000♠1 eV/c2 is
For example, an electron and a positron, each with a mass of 6999511000000000000♠0.511 MeV/c2, can annihilate to yield 6987163742436971400♠1.022 MeV of energy. The proton has a mass of 6999938000000000000♠0.938 GeV/c2. In general, the masses of all hadrons are of the order of 7000100000000000000♠1 GeV/c2, which makes the GeV (gigaelectronvolt) a convenient unit of mass for particle physics:
The atomic mass unit, 1 gram divided by Avogadro's number, is almost the mass of a hydrogen atom, which is mostly the mass of the proton. To convert to megaelectronvolts, use the formula:
In high-energy physics, the electronvolt is often used as a unit of momentum. A potential difference of 1 volt causes an electron to gain an amount of energy (i.e., 6981160217648700000♠1 eV). This gives rise to usage of eV (and keV, MeV, GeV or TeV) as units of momentum, for the energy supplied results in acceleration of the particle.
The dimensions of momentum units are LMT−1. The dimensions of energy units are L2MT−2. Then, dividing the units of energy (such as eV) by a fundamental constant that has units of velocity (LT−1), facilitates the required conversion of using energy units to describe momentum. In the field of high-energy particle physics, the fundamental velocity unit is the speed of light in vacuum c. Thus, dividing energy in eV by the speed of light, one can describe the momentum of an electron in units of eV/c.[10] [11]
The fundamental velocity constant c is often dropped from the units of momentum by way of defining units of length such that the value of c is unity. For example, if the momentum p of an electron is said to be 6990160217648700000♠1 GeV, then the conversion to MKS can be achieved by:
In particle physics, a system of "natural units" in which the speed of light in vacuum c and the reduced Planck constant ħ are dimensionless and equal to unity is widely used: c = ħ = 1. In these units, both distances and times are expressed in inverse energy units (while energy and mass are expressed in the same units, see mass–energy equivalence). In particular, particle scattering lengths are often presented in units of inverse particle masses.
Outside this system of units, the conversion factors between electronvolt, second, and nanometer are the following:
The above relations also allow expressing the mean lifetime τ of an unstable particle (in seconds) in terms of its decay width Γ (in eV) via Γ = ħ/τ. For example, the B0 meson has a lifetime of 1.530(9) picoseconds, mean decay length is cτ = 6996459699999999999♠459.7 µm, or a decay width of 6977689256324707400♠(4.302±25)×10−4 eV.
Conversely, the tiny meson mass differences responsible for meson oscillations are often expressed in the more convenient inverse picoseconds.
In certain fields, such as plasma physics, it is convenient to use the electronvolt as a unit of temperature. The conversion to the Kelvin scale is defined by using kB, the Boltzmann constant:
For example, a typical magnetic confinement fusion plasma is 6985240326473049999♠15 keV, or 170 megakelvin.
As an approximation: kBT is about 6979400544121750000♠0.025 eV (≈ 290 K/11604 K/eV) at a temperature of 7002293150000000000♠20 °C.
The energy E, frequency v, and wavelength λ of a photon are related by
where h is the Planck constant, c is the speed of light. This reduces to
A photon with a wavelength of 6993532000000000000♠532 nm (green light) would have an energy of approximately 6981373307121471000♠2.33 eV. Similarly, 6981160217648700000♠1 eV would correspond to an infrared photon of wavelength 6994124000000000000♠1240 nm or frequency 7014241800000000000♠241.8 THz.
In a low-energy nuclear scattering experiment, it is conventional to refer to the nuclear recoil energy in units of eVr, keVr, etc. This distinguishes the nuclear recoil energy from the "electron equivalent" recoil energy (eVee, keVee, etc.) measured by scintillation light. For example, the yield of a phototube is measured in phe/keVee (photoelectrons per keV electron-equivalent energy). The relationship between eV, eVr, and eVee depends on the medium the scattering takes place in, and must be established empirically for each material.
1 mole of particles given 1 eV of energy has approximately 96.5 kJ of energy – this corresponds to the Faraday constant (F ≈ 7004964850000000000♠96485 C mol−1) where the energy in joules of N moles of particles each with energy X eV is X·F·N.
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