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Energy density

In physics, energy density is the amount of energy stored in a given system or region of space per unit volume. It is sometimes confused with energy per unit mass which is properly called specific energy or gravimetric energy density.

Energy density
SI unitJ/m3
Other units
J/L, W⋅h/L
In SI base unitsm−1⋅kg⋅s−2
Derivations from
other quantities
U = E/V
Dimension

Often only the useful or extractable energy is measured, which is to say that inaccessible energy (such as rest mass energy) is ignored.[1] In cosmological and other general relativistic contexts, however, the energy densities considered are those that correspond to the elements of the stress–energy tensor and therefore do include mass energy as well as energy densities associated with pressure.

Energy per unit volume has the same physical units as pressure and in many situations is synonymous. For example, the energy density of a magnetic field may be expressed as and behaves like a physical pressure. Likewise, the energy required to compress a gas to a certain volume may be determined by multiplying the difference between the gas pressure and the external pressure by the change in volume. A pressure gradient describes the potential to perform work on the surroundings by converting internal energy to work until equilibrium is reached.

Overview

There are different types of energy stored in materials, and it takes a particular type of reaction to release each type of energy. In order of the typical magnitude of the energy released, these types of reactions are: nuclear, chemical, electrochemical, and electrical.

Nuclear reactions take place in stars and nuclear power plants, both of which derive energy from the binding energy of nuclei. Chemical reactions are used by organisms to derive energy from food and by automobiles to derive energy from gasoline. Liquid hydrocarbons (fuels such as gasoline, diesel and kerosene) are today the densest way known to economically store and transport chemical energy at a large scale (1 kg of diesel fuel burns with the oxygen contained in ≈15 kg of air). Electrochemical reactions are used by most mobile devices such as laptop computers and mobile phones to release energy from batteries.

Types of energy content

There are several different types of energy content. One is the theoretical total amount of thermodynamic work that can be derived from a system, at a given temperature and pressure imposed by the surroundings. This is called exergy. Another is the theoretical amount of electrical energy that can be derived from reactants that are at room temperature and atmospheric pressure. This is given by the change in standard Gibbs free energy. But as a source of heat or for use in a heat engine, the relevant quantity is the change in standard enthalpy or the heat of combustion.

There are two kinds of heat of combustion:

  • The higher value (HHV), or gross heat of combustion, includes all the heat released as the products cool to room temperature and whatever water vapor is present condenses.
  • The lower value (LHV), or net heat of combustion, does not include the heat which could be released by condensing water vapor, and may not include the heat released on cooling all the way down to room temperature.

A convenient table of HHV and LHV of some fuels can be found in the references.[2]

In energy storage and fuels

 
Selected energy densities plot[3][4][5][6][7][8][9]

In energy storage applications the energy density relates the energy in an energy store to the volume of the storage facility, e.g. the fuel tank. The higher the energy density of the fuel, the more energy may be stored or transported for the same amount of volume. Given the high energy density of gasoline, the exploration of alternative media to store the energy of powering a car, such as hydrogen or battery, is strongly limited by the energy density of the alternative medium. The same mass of lithium-ion storage, for example, would result in a car with only 2% the range of its gasoline counterpart. If sacrificing the range is undesirable, it becomes necessary to carry that much more fuel.

The energy density of a fuel per unit mass is called the specific energy of that fuel. In general an engine using that fuel will generate less kinetic energy due to inefficiencies and thermodynamic considerations—hence the specific fuel consumption of an engine will always be greater than its rate of production of the kinetic energy of motion.

Energy density differs from energy conversion efficiency (net output per input) or embodied energy (the energy output costs to provide, as harvesting, refining, distributing, and dealing with pollution all use energy). Large scale, intensive energy use impacts and is impacted by climate, waste storage, and environmental consequences.

No single energy storage method boasts the best in specific power, specific energy, and energy density. Peukert's law describes how the amount of useful energy that can be obtained (for a lead-acid cell) depends on how quickly it is pulled out.

Alternative options are discussed for energy storage to increase energy density and decrease charging time.[10][11][12][13]

The figure above shows the gravimetric and volumetric energy density of some fuels and storage technologies (modified from the Gasoline article).

Some values may not be precise because of isomers or other irregularities. See Heating value for a comprehensive table of specific energies of important fuels.

Generally the density values for chemical fuels do not include the weight of the oxygen required for combustion. The atomic weights of carbon and oxygen are similar, while hydrogen is much lighter. Figures are presented in this way for those fuels where in practice air would only be drawn in locally to the burner. This explains the apparently lower energy density of materials that contain their own oxidizer (such as gunpowder and TNT), where the mass of the oxidizer in effect adds weight, and absorbs some of the energy of combustion to dissociate and liberate oxygen to continue the reaction. This also explains some apparent anomalies, such as the energy density of a sandwich appearing to be higher than that of a stick of dynamite.

List of material energy densities

The following unit conversions may be helpful when considering the data in the tables: 3.6 MJ = 1 kW⋅h ≈ 1.34 hp⋅h. Since 1 J = 10−6 MJ and 1 m3 = 103 L, divide joule/m3 by 109 to get MJ/L = GJ/m3. Divide MJ/L by 3.6 to get kW⋅h/L.

In chemical reactions (oxidation)

Unless otherwise stated, the values in the following table are lower heating values for perfect combustion, not counting oxidizer mass or volume. When used to produce electricity in a fuel cell or to do work, it is the Gibbs free energy of reaction (ΔG) that sets the theoretical upper limit. If the produced H2O is vapor, this is generally greater than the lower heat of combustion, whereas if the produced H
2
O
is liquid, it is generally less than the higher heat of combustion. But in the most relevant case of hydrogen, ΔG is 113 MJ/kg if water vapor is produced, and 118 MJ/kg if liquid water is produced, both being less than the lower heat of combustion (120 MJ/kg).[14]

Energy released by chemical reactions (oxidation)
Material Specific energy
(MJ/kg)
Energy density
(MJ/L)
Specific energy
(W⋅h/kg)
Energy density
(W⋅h/L)
Comment
Hydrogen, liquid 141.86 (HHV)
119.93 (LHV)
10.044 (HHV)
8.491 (LHV)
39,405.639,405.6 (HHV)
33,313.9 (LHV)
2,790.0 (HHV)
2,358.6 (LHV)
Energy figures apply after reheating to 25 °C.[15]

See note above about use in fuel cells.

Hydrogen, gas (69 MPa, 25 °C) 141.86 (HHV)
119.93 (LHV)
5.323 (HHV)
4.500 (LHV)
39,405.639,405.6 (HHV)
33,313.9 (LHV)
1,478.6 (HHV)
1,250.0 (LHV)
Date from same reference as for liquid hydrogen.[15]

High-pressure tanks weigh much more than the hydrogen they can hold. The hydrogen may be around 5.7% of the total mass,[16] giving just 6.8 MJ per kg total mass for the LHV.

See note above about use in fuel cells.

Hydrogen, gas (1 atm or 101.3 kPa, 25 °C) 141.86 (HHV)
119.93 (LHV)
0.01188 (HHV)
0.01005 (LHV)
39,405.639,405.6 (HHV)
33,313.9 (LHV)
3.3 (HHV)
2.8 (LHV)
[15]
Diborane 78.2 88.4 21,722.2 24,600 [17]
Beryllium 67.6 125.1 18,777.8 34,750.0
Lithium borohydride 65.2 43.4 18,111.1 12,055.6
Boron 58.9 137.8 16,361.1 38,277.8 [18]
Methane (101.3 kPa, 15 °C) 55.6 0.0378 15,444.5 10.5
LNG (NG at −160 °C) 53.6[19] 22.2 14,888.9 6,166.7
CNG (NG compressed to 25 MPa ≈ 3,600 psi) 53.6[19] 9 14,888.9 2,500.0
Natural gas 53.6[19] 0.0364 14,888.9 10.1
LPG propane 49.6 25.3 13,777.8 7,027.8 [20]
LPG butane 49.1 27.7 13,638.9 7,694.5 [20]
Gasoline (petrol) 46.4 34.2 12,888.9 9,500.0 [20]
Polypropylene plastic 46.4[21] 41.7 12,888.9 11,583.3
Polyethylene plastic 46.3[21] 42.6 12,861.1 11,833.3
Residential heating oil 46.2 37.3 12,833.3 10,361.1 [20]
Diesel fuel 45.6 38.6 12,666.7 10,722.2 [20]
100LL Avgas 44.0[22] 31.59 12,222.2 8,775.0
Jet fuel (e.g. kerosene) 43[23][24][25] 35 11,944.4 9,722.2 Aircraft engine
Gasohol E10 (10% ethanol 90% gasoline by volume) 43.54 33.18 12,094.5 9,216.7
Lithium 43.1 23.0 11,972.2 6,388.9
Biodiesel oil (vegetable oil) 42.20 33 11,722.2 9,166.7
DMF (2,5-dimethylfuran) 42[26] 37.8 11,666.7 10,500.0 [clarification needed]
Paraffin wax 42[27] 37.8 11,700 10,500
Crude oil (tonne of oil equivalent) 41.868 37[19] 11,630 10,278
Polystyrene plastic 41.4[21] 43.5 11,500.0 12,083.3
Body fat 38 35 10,555.6 9,722.2 Metabolism in human body (22% efficiency[28])
Butanol 36.6 29.2 10,166.7 8,111.1
Gasohol E85 (85% ethanol 15% gasoline by volume) 33.1 25.65[citation needed] 9,194.5 7,125.0
Graphite 32.7 72.9 9,083.3 20,250.0
Coal, anthracite 26–33 34–43 7,222.2–9,166.7 9,444.5–11,944.5 Figures represent perfect combustion not counting oxidizer, but efficiency of conversion to electricity is ≈36%[6]
Silicon 32.6 75.9 9,056 21,080 See Table 1 [29]
Aluminium 31.0 83.8 8,611.1 23,277.8
Ethanol 30 24 8,333.3 6,666.7
DME 31.7 (HHV)
28.4 (LHV)
21.24 (HHV)
19.03 (LHV)
8,805.68,805.6 (HHV)
7,888.9 (LHV)
5,900.0 (HHV)
5,286.1 (LHV)
[30][31]
Polyester plastic 26.0[21] 35.6 7,222.2 9,888.9
Magnesium 24.7 43.0 6,861.1 11,944.5
Phosphorus (white) 24.30 44.30 6,750 12,310 [32]
Coal, bituminous 24–35 26–49 6,666.7–9,722.2 7,222.2–13,611.1 [6]
PET plastic (impure) 23.5[33] < ~32.4 6,527.8 < ~9000
Methanol 19.7 15.6 5,472.2 4,333.3
Titanium 19.74 88.93 5,480 24,700 burned to titanium dioxide
Hydrazine (combusted to N2+H2O) 19.5 19.3 5,416.7 5,361.1
Liquid ammonia (combusted to N2+H2O) 18.6 11.5 5,166.7 3,194.5
Potassium 18.6 16.5 5,160 4,600 burned to dry potassium oxide
PVC plastic (improper combustion toxic) 18.0[21] 25.2 5,000.0 7,000.0 [clarification needed]
Wood 18.0 5,000.0 [34]
Peat briquette 17.7 4,916.7 [35]
Sugars, carbohydrates, and protein 17 26.2 (dextrose) 4,722.2 7,277.8 Metabolism in human body (22% efficiency[36])[citation needed]
Calcium 15.9 24.6 4,416.7 6,833.3 [citation needed]
Glucose 15.55 23.9 4,319.5 6,638.9
Dry cow dung and camel dung 15.5[37] 4,305.6
Coal, lignite 10–20 2,777.8–5,555.6 [citation needed]
Sodium 13.3 12.8 3,694.5 3,555.6 burned to wet sodium hydroxide
Peat 12.8 3,555.6
Nitromethane 11.3 12.85 3,138.9 3,570
Manganese 9.46 68.2 2,630 18,900 burned to manganese dioxide
Sulfur 9.23 19.11 2,563.9 5,308.3 burned to sulfur dioxide[38]
Sodium 9.1 8.8 2,527.8 2,444.5 burned to dry sodium oxide
Battery, lithium-air rechargeable 9.0[39] 2,500.0 Controlled electric discharge
Household waste 8.0[40] 2,222.2
Zinc 5.3 38.0 1,472.2 10,555.6
Iron 5.2 40.68 1,444.5 11,300.0 burned to iron(III) oxide
Teflon plastic 5.1 11.2 1,416.7 3,111.1 combustion toxic, but flame retardant
Iron 4.9 38.2 1,361.1 10,611.1 burned to iron(II) oxide
Gunpowder 4.7–11.3[41] 5.9–12.9 1,600–3,580
TNT 4.184 6.92 1,162 1,920
Barium 3.99 14.0 1,110 3,890 burned to barium dioxide
ANFO 3.7 1,027.8

In nuclear reactions

Energy released by nuclear reactions
Material Specific energy
(MJ/kg)
Energy density
(MJ/L)
Specific energy
(W⋅h/kg)
Energy density
(W⋅h/L)
Comment
Antimatter 89,875,517,874 ≈ 90 PJ/kg Depends on the density of the antimatter's form 24,965,421,631,578 ≈ 25 TW⋅h/kg Depends on the density of the antimatter's form Annihilation, counting both the consumed antimatter mass and ordinary matter mass
Hydrogen (fusion) 639,780,320[42] but at least 2% of this is lost to neutrinos. Depends on conditions 177,716,755,600 Depends on conditions Reaction 4H→4He
Deuterium (fusion)
571,182,758[43] Depends on conditions 158,661,876,600 Depends on conditions Proposed fusion scheme for D+D→4He, by combining D+D→T+H, T+D→4He+n, n+H→D and D+D→3He+n, 3He+D→4He+H, n+H→D
Deuterium+tritium (fusion) 337,387,388[42] Depends on conditions 93,718,718,800 Depends on conditions D + T → 4He + n
Being developed.
Lithium-6 deuteride (fusion) 268,848,415[42] Depends on conditions 74,680,115,100 Depends on conditions 6LiD → 24He
Used in weapons.
Plutonium-239 83,610,000 1,300,000,000–1,700,000,000 (Depends on crystallographic phase) 23,222,915,000 370,000,000,000–460,000,000,000 (Depends on crystallographic phase) Heat produced in Fission reactor
Plutonium-239 31,000,000 490,000,000–620,000,000 (Depends on crystallographic phase) 8,700,000,000 140,000,000,000–170,000,000,000 (Depends on crystallographic phase) Electricity produced in Fission reactor
Uranium 80,620,000[44] 1,539,842,000 22,394,000,000 Heat produced in breeder reactor
Thorium 79,420,000[44] 929,214,000 22,061,000,000 Heat produced in breeder reactor (Experimental)
Plutonium-238 2,239,000 43,277,631 621,900,000 Radioisotope thermoelectric generator. The heat is only produced at a rate of 0.57 W/g.

Other release mechanisms

Energy released by electrochemical reactions or other means
Material Specific energy
(MJ/kg)
Energy density
(MJ/L)
Specific energy
(W⋅h/kg)
Energy density
(W⋅h/L)
Comment
Battery, zinc-air 1.59 6.02 441.7 1,672.2 Controlled electric discharge[45]
Silicon (phase change) 1.790 4.5 500 1,285 Energy stored through solid to liquid phase change of silicon[46]
Liquid nitrogen 0.77[47] 0.62 213.9 172.2 Maximum reversible work at 77.4 K with 300 K reservoir
Sodium sulfur battery 0.54–0.86 150–240
Compressed air at 30 MPa 0.5 0.2 138.9 55.6 Potential energy
Latent heat of fusion of ice (thermal) 0.334 0.334 93.1 93.1
Lithium metal battery 1.8 4.32 500 1,200 Controlled electric discharge
Lithium-ion battery 0.36–0.875[50] 0.9–2.63 100.00–243.06 250.00–730.56 Controlled electric discharge
Lithium-ion battery with silicon nanowire anodes 1.566 4.32 435[51] 1,200[51] Controlled electric discharge
Flywheel 0.36–0.5 5.3 Kinetic energy
Alkaline battery 0.48[52] 1.3[53] Controlled electric discharge
Nickel-metal hydride battery 0.41[54] 0.504–1.46[54] Controlled electric discharge
Lead-acid battery 0.17 0.56 Controlled electric discharge
Supercapacitor (EDLC) 0.01–0.030[55][56][57][58][59][60][61] 0.006–0.06[55][56][57][58][59][60] up to 8.57[61] Controlled electric discharge
Water at 100 m dam height 0.000981 0.000978 0.272 0.272 Figures represent potential energy, but efficiency of conversion to electricity is 85–90%[62][63]
Electrolytic capacitor 0.00001–0.0002[64] 0.00001–0.001[64][65][66] Controlled electric discharge

In material deformation

The mechanical energy storage capacity, or resilience, of a Hookean material when it is deformed to the point of failure can be computed by calculating tensile strength times the maximum elongation dividing by two. The maximum elongation of a Hookean material can be computed by dividing stiffness of that material by its ultimate tensile strength. The following table lists these values computed using the Young's modulus as measure of stiffness:

Mechanical energy capacities
Material Energy density by mass

(J/kg)

Resilience: Energy density by volume

(J/L)

Density

(kg/L)

Young's modulus

(GPa)

Tensile yield strength

(MPa)

Rubber band 1,651–6,605[67] 2,200–8,900[67] 1.35[67]
Steel, ASTM A228 (yield, 1 mm diameter) 1,440–1,770 11,200–13,800 7.80[68] 210[68] 2,170–2,410[68]
Acetals 908 754 0.831[69] 2.8[70] 65 (ultimate)[70]
Nylon-6 233–1,870 253–2,030 1.084 2–4[70] 45–90 (ultimate)[70]
Copper Beryllium 25-1/2 HT (yield) 684 5,720[71] 8.36[72] 131[71] 1,224[71]
Polycarbonates 433–615 520–740 1.2[73] 2.6[70] 52–62 (ultimate)[70]
ABS plastics 241–534 258–571 1.07 1.4–3.1[70] 40 (ultimate)[70]
Acrylic 1,530 3.2[70] 70 (ultimate)[70]
Aluminium 7077-T8 (yield) 399 1,120[71] 2.81[74] 71.0[71] 400[71]
Steel, stainless, 301-H (yield) 301 2,410[71] 8.0[75] 193[71] 965[71]
Aluminium 6061-T6 (yield @ 24 °C) 205 553 2.70[76] 68.9[76] 276[76]
Epoxy resins 113–1,810 2–3[70] 26–85 (ultimate)[70]
Douglas fir Wood 158–200 96 .481–.609[77] 13[70] 50 (compression)[70]
Steel, Mild AISI 1018 42.4 334 7.87[78] 205[78] 370 (440 Ultimate)[78]
Aluminium (not alloyed) 32.5 87.7 2.70[79] 69[70] 110 (ultimate)[70]
Pine (American Eastern White, flexural) 31.8–32.8 11.1–11.5 .350[80] 8.30–8.56 (flexural)[80] 41.4 (flexural)[80]
Brass 28.6–36.5 250–306 8.4–8.73[81] 102–125[70] 250 (ultimate)[70]
Copper 23.1 207 8.93[81] 117[70] 220 (ultimate)[70]
Glass 5.56–10.0 13.9–25.0 2.5[82] 50–90[70] 50 (compression)[70]

In batteries

Battery energy capacities
Storage device Energy content
(Joule)
Energy content
(W⋅h)
Energy type Typical
mass (g)
Typical dimensions
(diameter × height in mm)
Typical volume (mL) Energy density
by volume (MJ/L)
Energy density
by mass (MJ/kg)
Alkaline AA battery[83] 9,360 2.6 Electrochemical 24 14.2 × 50 7.92 1.18 0.39
Alkaline C battery[83] 34,416 9.5 Electrochemical 65 26 × 46 24.42 1.41 0.53
NiMH AA battery 9,072 2.5 Electrochemical 26 14.2 × 50 7.92 1.15 0.35
NiMH C battery 19,440 5.4 Electrochemical 82 26 × 46 24.42 0.80 0.24
Lithium-ion 18650 battery 28,800–46,800 10.5–13 Electrochemical 44–49[84] 18 × 65 16.54 1.74–2.83 0.59–1.06

Nuclear energy sources

The greatest energy source by far is matter itself. This energy, E = mc2, where m = ρV, ρ is the mass per unit volume, V is the volume of the mass itself and c is the speed of light. This energy, however, can be released only by the processes of nuclear fission (0.1%), nuclear fusion (1%), or the annihilation of some or all of the matter in the volume V by matter-antimatter collisions (100%).[citation needed] Nuclear reactions cannot be realized by chemical reactions such as combustion. Although greater matter densities can be achieved, the density of a neutron star would approximate the most dense system capable of matter-antimatter annihilation possible. A black hole, although denser than a neutron star, does not have an equivalent anti-particle form, but would offer the same 100% conversion rate of mass to energy in the form of Hawking radiation. In the case of relatively small black holes (smaller than astronomical objects) the power output would be tremendous.

The highest density sources of energy aside from antimatter are fusion and fission. Fusion includes energy from the sun which will be available for billions of years (in the form of sunlight) but so far (2021), sustained fusion power production continues to be elusive.

Power from fission of uranium and thorium in nuclear power plants will be available for many decades or even centuries because of the plentiful supply of the elements on earth,[85] though the full potential of this source can only be realized through breeder reactors, which are, apart from the BN-600 reactor, not yet used commercially.[86] Coal, gas, and petroleum are the current primary energy sources in the U.S.[87] but have a much lower energy density. Burning local biomass fuels supplies household energy needs (cooking fires, oil lamps, etc.) worldwide.

Thermal power of nuclear fission reactors

The density of thermal energy contained in the core of a light water reactor (PWR or BWR) of typically 1 GWe (1,000 MW electrical corresponding to ≈3,000 MW thermal) is in the range of 10 to 100 MW of thermal energy per cubic meter of cooling water depending on the location considered in the system (the core itself (≈30 m3), the reactor pressure vessel (≈50 m3), or the whole primary circuit (≈300 m3)). This represents a considerable density of energy which requires under all circumstances a continuous water flow at high velocity in order to be able to remove the heat from the core, even after an emergency shutdown of the reactor. The incapacity to cool the cores of three boiling water reactors (BWR) at Fukushima in 2011 after the tsunami and the resulting loss of the external electrical power and of the cold source was the cause of the meltdown of the three cores in only a few hours, even though the three reactors were correctly shut down just after the Tōhoku earthquake. This extremely high power density distinguishes nuclear power plants (NPP's) from any thermal power plants (burning coal, fuel or gas) or any chemical plants and explains the large redundancy required to permanently control the neutron reactivity and to remove the residual heat from the core of NPP's.

Energy density of electric and magnetic fields

Electric and magnetic fields store energy. The (volumetric) energy density is given by

 

where E is the electric field, B is the magnetic field, and ε and µ are the permittivity and permeability of the surroundings respectively. The solution will be (in SI units) in joules per cubic metre. In the context of magnetohydrodynamics, the physics of conductive fluids, the magnetic energy density behaves like an additional pressure that adds to the gas pressure of a plasma.

In ideal (linear and nondispersive) substances, the energy density (in SI units) is

 

where D is the electric displacement field and H is the magnetizing field.

In the case of absence of magnetic fields, by exploiting Fröhlich's relationships it is also possible to extend these equations to anisotropic and nonlinear dielectrics, as well as to calculate the correlated Helmholtz free energy and entropy densities.[88]

When a pulsed laser impacts a surface, the radiant exposure, i.e. the energy deposited per unit of surface, may be called energy density or fluence.[89]

See also

Footnotes

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  2. ^ "Fossil and Alternative Fuels - Energy Content (2008)". Engineering ToolBox. Retrieved 2018-10-08.
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  4. ^ "Panasonic Develops New Higher-Capacity 18650 Li-Ion Cells." Green Car Congress. N.p., 25 Dec. 2009. Web.
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  6. ^ a b c Fisher, Julia (2003). Elert, Glenn (ed.). "Energy density of coal". The Physics Factbook. Retrieved 2019-07-28.
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  8. ^ "Overview of Storage Development DOE Hydrogen Program." Office of Energy Efficiency & Renewable Energy. N.p., May 2000. Web.
  9. ^ Wong, Kaufui; Dia, Sarah (2017). "Nanotechnology in Batteries". Journal of Energy Resources Technology. 139. doi:10.1115/1.4034860.
  10. ^ Ionescu-Zanetti, C.; et., al. (2005). "Nanogap capacitors: Sensitivity to sample permittivity changes". Journal of Applied Physics. 99 (2): 024305–024305–5. Bibcode:2006JAP....99b4305I. doi:10.1063/1.2161818. S2CID 120910476.
  11. ^ Naoi, K.; et., al. (2013). "New generation "nanohybrid supercapacitor"". Accounts of Chemical Research. 46 (5): 1075–1083. doi:10.1021/ar200308h. PMID 22433167.
  12. ^ Hubler, A.; Osuagwu, O. (2010). "Digital quantum batteries: Energy and information storage in nanovacuum tube arrays". Complexity. 15 (5): NA. doi:10.1002/cplx.20306. S2CID 6994736.
  13. ^ Lyon, D.; et., al. (2013). "Gap size dependence of the dielectric strength in nano vacuum gaps". IEEE Transactions on Dielectrics and Electrical Insulation. 2 (4): 1467–1471. doi:10.1109/TDEI.2013.6571470. S2CID 709782.
  14. ^ CRC Handbook of Chemistry and Physics, 49th Edition, page D-42.
  15. ^ a b c College of the Desert, “Module 1, Hydrogen Properties”, Revision 0, December 2001 Hydrogen Properties. Retrieved 2014-06-08.
  16. ^ Mike Millikin (2014-11-18). "Toyota FCV Mirai launches in LA; initial TFCS specs; $57,500 or $499 lease; leaning on Prius analogy". Green Car Congress. Retrieved 2014-11-23.
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  18. ^ "Boron: A Better Energy Carrier than Hydrogen? (28 February 2009)". Eagle.ca. Retrieved 2010-05-07.
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  20. ^ a b c d e IOR Energy. . Retrieved 2008-10-05.
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Further reading

  • The Inflationary Universe: The Quest for a New Theory of Cosmic Origins by Alan H. Guth (1998) ISBN 0-201-32840-2
  • Cosmological Inflation and Large-Scale Structure by Andrew R. Liddle, David H. Lyth (2000) ISBN 0-521-57598-2
  • Richard Becker, "Electromagnetic Fields and Interactions", Dover Publications Inc., 1964

External links

  • ^ "Aircraft Fuels." Energy, Technology and the Environment Ed. Attilio Bisio. Vol. 1. New York: John Wiley and Sons, Inc., 1995. 257–259
  • "Fuels of the Future for Cars and Trucks" – Dr. James J. Eberhardt – Energy Efficiency and Renewable Energy, U.S. Department of Energy – 2002 Diesel Engine Emissions Reduction (DEER) Workshop San Diego, California - August 25–29, 2002
  • "Heat values of various fuels – World Nuclear Association". www.world-nuclear.org. Retrieved 4 November 2018.
  • "Energy and Energy Types – Springer" (PDF). Retrieved 4 November 2018.

energy, density, this, article, about, energy, unit, volume, energy, unit, mass, specific, energy, physics, energy, density, amount, energy, stored, given, system, region, space, unit, volume, sometimes, confused, with, energy, unit, mass, which, properly, cal. This article is about energy per unit volume For energy per unit mass see Specific energy In physics energy density is the amount of energy stored in a given system or region of space per unit volume It is sometimes confused with energy per unit mass which is properly called specific energy or gravimetric energy density Energy densitySI unitJ m3Other unitsJ L W h LIn SI base unitsm 1 kg s 2Derivations fromother quantitiesU E VDimensionL 1 M T 2 displaystyle mathsf L 1 mathsf M mathsf T 2 Often only the useful or extractable energy is measured which is to say that inaccessible energy such as rest mass energy is ignored 1 In cosmological and other general relativistic contexts however the energy densities considered are those that correspond to the elements of the stress energy tensor and therefore do include mass energy as well as energy densities associated with pressure Energy per unit volume has the same physical units as pressure and in many situations is synonymous For example the energy density of a magnetic field may be expressed as and behaves like a physical pressure Likewise the energy required to compress a gas to a certain volume may be determined by multiplying the difference between the gas pressure and the external pressure by the change in volume A pressure gradient describes the potential to perform work on the surroundings by converting internal energy to work until equilibrium is reached Contents 1 Overview 1 1 Types of energy content 2 In energy storage and fuels 3 List of material energy densities 3 1 In chemical reactions oxidation 3 2 In nuclear reactions 3 3 Other release mechanisms 3 4 In material deformation 3 5 In batteries 4 Nuclear energy sources 4 1 Thermal power of nuclear fission reactors 5 Energy density of electric and magnetic fields 6 See also 7 Footnotes 8 Further reading 9 External linksOverview EditThere are different types of energy stored in materials and it takes a particular type of reaction to release each type of energy In order of the typical magnitude of the energy released these types of reactions are nuclear chemical electrochemical and electrical Nuclear reactions take place in stars and nuclear power plants both of which derive energy from the binding energy of nuclei Chemical reactions are used by organisms to derive energy from food and by automobiles to derive energy from gasoline Liquid hydrocarbons fuels such as gasoline diesel and kerosene are today the densest way known to economically store and transport chemical energy at a large scale 1 kg of diesel fuel burns with the oxygen contained in 15 kg of air Electrochemical reactions are used by most mobile devices such as laptop computers and mobile phones to release energy from batteries Types of energy content Edit There are several different types of energy content One is the theoretical total amount of thermodynamic work that can be derived from a system at a given temperature and pressure imposed by the surroundings This is called exergy Another is the theoretical amount of electrical energy that can be derived from reactants that are at room temperature and atmospheric pressure This is given by the change in standard Gibbs free energy But as a source of heat or for use in a heat engine the relevant quantity is the change in standard enthalpy or the heat of combustion There are two kinds of heat of combustion The higher value HHV or gross heat of combustion includes all the heat released as the products cool to room temperature and whatever water vapor is present condenses The lower value LHV or net heat of combustion does not include the heat which could be released by condensing water vapor and may not include the heat released on cooling all the way down to room temperature A convenient table of HHV and LHV of some fuels can be found in the references 2 In energy storage and fuels Edit Selected energy densities plot 3 4 5 6 7 8 9 In energy storage applications the energy density relates the energy in an energy store to the volume of the storage facility e g the fuel tank The higher the energy density of the fuel the more energy may be stored or transported for the same amount of volume Given the high energy density of gasoline the exploration of alternative media to store the energy of powering a car such as hydrogen or battery is strongly limited by the energy density of the alternative medium The same mass of lithium ion storage for example would result in a car with only 2 the range of its gasoline counterpart If sacrificing the range is undesirable it becomes necessary to carry that much more fuel The energy density of a fuel per unit mass is called the specific energy of that fuel In general an engine using that fuel will generate less kinetic energy due to inefficiencies and thermodynamic considerations hence the specific fuel consumption of an engine will always be greater than its rate of production of the kinetic energy of motion Energy density differs from energy conversion efficiency net output per input or embodied energy the energy output costs to provide as harvesting refining distributing and dealing with pollution all use energy Large scale intensive energy use impacts and is impacted by climate waste storage and environmental consequences No single energy storage method boasts the best in specific power specific energy and energy density Peukert s law describes how the amount of useful energy that can be obtained for a lead acid cell depends on how quickly it is pulled out Alternative options are discussed for energy storage to increase energy density and decrease charging time 10 11 12 13 The figure above shows the gravimetric and volumetric energy density of some fuels and storage technologies modified from the Gasoline article Some values may not be precise because of isomers or other irregularities See Heating value for a comprehensive table of specific energies of important fuels Generally the density values for chemical fuels do not include the weight of the oxygen required for combustion The atomic weights of carbon and oxygen are similar while hydrogen is much lighter Figures are presented in this way for those fuels where in practice air would only be drawn in locally to the burner This explains the apparently lower energy density of materials that contain their own oxidizer such as gunpowder and TNT where the mass of the oxidizer in effect adds weight and absorbs some of the energy of combustion to dissociate and liberate oxygen to continue the reaction This also explains some apparent anomalies such as the energy density of a sandwich appearing to be higher than that of a stick of dynamite List of material energy densities EditThis article or section appears to contradict itself Please see the talk page for more information April 2019 Some of this section s listed sources may not be reliable Please help this article by looking for better more reliable sources Unreliable citations may be challenged or deleted February 2020 Learn how and when to remove this template message See also Energy density Extended Reference Table The following unit conversions may be helpful when considering the data in the tables 3 6 MJ 1 kW h 1 34 hp h Since 1 J 10 6 MJ and 1 m3 103 L divide joule m3 by 109 to get MJ L GJ m3 Divide MJ L by 3 6 to get kW h L In chemical reactions oxidation Edit See also Energy content of biofuel and Energy content of food Unless otherwise stated the values in the following table are lower heating values for perfect combustion not counting oxidizer mass or volume When used to produce electricity in a fuel cell or to do work it is the Gibbs free energy of reaction DG that sets the theoretical upper limit If the produced H2O is vapor this is generally greater than the lower heat of combustion whereas if the produced H2 O is liquid it is generally less than the higher heat of combustion But in the most relevant case of hydrogen DG is 113 MJ kg if water vapor is produced and 118 MJ kg if liquid water is produced both being less than the lower heat of combustion 120 MJ kg 14 Energy released by chemical reactions oxidation Material Specific energy MJ kg Energy density MJ L Specific energy W h kg Energy density W h L CommentHydrogen liquid 141 86 HHV 119 93 LHV 10 044 HHV 8 491 LHV 39 405 6 39 405 6 HHV 33 313 9 LHV 2 790 0 HHV 2 358 6 LHV Energy figures apply after reheating to 25 C 15 See note above about use in fuel cells Hydrogen gas 69 MPa 25 C 141 86 HHV 119 93 LHV 5 323 HHV 4 500 LHV 39 405 6 39 405 6 HHV 33 313 9 LHV 1 478 6 HHV 1 250 0 LHV Date from same reference as for liquid hydrogen 15 High pressure tanks weigh much more than the hydrogen they can hold The hydrogen may be around 5 7 of the total mass 16 giving just 6 8 MJ per kg total mass for the LHV See note above about use in fuel cells Hydrogen gas 1 atm or 101 3 kPa 25 C 141 86 HHV 119 93 LHV 0 01188 HHV 0 01005 LHV 39 405 6 39 405 6 HHV 33 313 9 LHV 3 3 HHV 2 8 LHV 15 Diborane 78 2 88 4 21 722 2 24 600 17 Beryllium 67 6 125 1 18 777 8 34 750 0Lithium borohydride 65 2 43 4 18 111 1 12 055 6Boron 58 9 137 8 16 361 1 38 277 8 18 Methane 101 3 kPa 15 C 55 6 0 0378 15 444 5 10 5LNG NG at 160 C 53 6 19 22 2 14 888 9 6 166 7CNG NG compressed to 25 MPa 3 600 psi 53 6 19 9 14 888 9 2 500 0Natural gas 53 6 19 0 0364 14 888 9 10 1LPG propane 49 6 25 3 13 777 8 7 027 8 20 LPG butane 49 1 27 7 13 638 9 7 694 5 20 Gasoline petrol 46 4 34 2 12 888 9 9 500 0 20 Polypropylene plastic 46 4 21 41 7 12 888 9 11 583 3Polyethylene plastic 46 3 21 42 6 12 861 1 11 833 3Residential heating oil 46 2 37 3 12 833 3 10 361 1 20 Diesel fuel 45 6 38 6 12 666 7 10 722 2 20 100LL Avgas 44 0 22 31 59 12 222 2 8 775 0Jet fuel e g kerosene 43 23 24 25 35 11 944 4 9 722 2 Aircraft engineGasohol E10 10 ethanol 90 gasoline by volume 43 54 33 18 12 094 5 9 216 7Lithium 43 1 23 0 11 972 2 6 388 9Biodiesel oil vegetable oil 42 20 33 11 722 2 9 166 7DMF 2 5 dimethylfuran 42 26 37 8 11 666 7 10 500 0 clarification needed Paraffin wax 42 27 37 8 11 700 10 500Crude oil tonne of oil equivalent 41 868 37 19 11 630 10 278Polystyrene plastic 41 4 21 43 5 11 500 0 12 083 3Body fat 38 35 10 555 6 9 722 2 Metabolism in human body 22 efficiency 28 Butanol 36 6 29 2 10 166 7 8 111 1Gasohol E85 85 ethanol 15 gasoline by volume 33 1 25 65 citation needed 9 194 5 7 125 0Graphite 32 7 72 9 9 083 3 20 250 0Coal anthracite 26 33 34 43 7 222 2 9 166 7 9 444 5 11 944 5 Figures represent perfect combustion not counting oxidizer but efficiency of conversion to electricity is 36 6 Silicon 32 6 75 9 9 056 21 080 See Table 1 29 Aluminium 31 0 83 8 8 611 1 23 277 8Ethanol 30 24 8 333 3 6 666 7DME 31 7 HHV 28 4 LHV 21 24 HHV 19 03 LHV 8 805 6 8 805 6 HHV 7 888 9 LHV 5 900 0 HHV 5 286 1 LHV 30 31 Polyester plastic 26 0 21 35 6 7 222 2 9 888 9Magnesium 24 7 43 0 6 861 1 11 944 5Phosphorus white 24 30 44 30 6 750 12 310 32 Coal bituminous 24 35 26 49 6 666 7 9 722 2 7 222 2 13 611 1 6 PET plastic impure 23 5 33 lt 32 4 6 527 8 lt 9000Methanol 19 7 15 6 5 472 2 4 333 3Titanium 19 74 88 93 5 480 24 700 burned to titanium dioxideHydrazine combusted to N2 H2O 19 5 19 3 5 416 7 5 361 1Liquid ammonia combusted to N2 H2O 18 6 11 5 5 166 7 3 194 5Potassium 18 6 16 5 5 160 4 600 burned to dry potassium oxidePVC plastic improper combustion toxic 18 0 21 25 2 5 000 0 7 000 0 clarification needed Wood 18 0 5 000 0 34 Peat briquette 17 7 4 916 7 35 Sugars carbohydrates and protein 17 26 2 dextrose 4 722 2 7 277 8 Metabolism in human body 22 efficiency 36 citation needed Calcium 15 9 24 6 4 416 7 6 833 3 citation needed Glucose 15 55 23 9 4 319 5 6 638 9Dry cow dung and camel dung 15 5 37 4 305 6Coal lignite 10 20 2 777 8 5 555 6 citation needed Sodium 13 3 12 8 3 694 5 3 555 6 burned to wet sodium hydroxidePeat 12 8 3 555 6Nitromethane 11 3 12 85 3 138 9 3 570Manganese 9 46 68 2 2 630 18 900 burned to manganese dioxideSulfur 9 23 19 11 2 563 9 5 308 3 burned to sulfur dioxide 38 Sodium 9 1 8 8 2 527 8 2 444 5 burned to dry sodium oxideBattery lithium air rechargeable 9 0 39 2 500 0 Controlled electric dischargeHousehold waste 8 0 40 2 222 2Zinc 5 3 38 0 1 472 2 10 555 6Iron 5 2 40 68 1 444 5 11 300 0 burned to iron III oxideTeflon plastic 5 1 11 2 1 416 7 3 111 1 combustion toxic but flame retardantIron 4 9 38 2 1 361 1 10 611 1 burned to iron II oxideGunpowder 4 7 11 3 41 5 9 12 9 1 600 3 580TNT 4 184 6 92 1 162 1 920Barium 3 99 14 0 1 110 3 890 burned to barium dioxideANFO 3 7 1 027 8In nuclear reactions Edit Energy released by nuclear reactions Material Specific energy MJ kg Energy density MJ L Specific energy W h kg Energy density W h L CommentAntimatter 89 875 517 874 90 PJ kg Depends on the density of the antimatter s form 24 965 421 631 578 25 TW h kg Depends on the density of the antimatter s form Annihilation counting both the consumed antimatter mass and ordinary matter massHydrogen fusion 639 780 320 42 but at least 2 of this is lost to neutrinos Depends on conditions 177 716 755 600 Depends on conditions Reaction 4H 4HeDeuterium fusion 571 182 758 43 Depends on conditions 158 661 876 600 Depends on conditions Proposed fusion scheme for D D 4He by combining D D T H T D 4He n n H D and D D 3He n 3He D 4He H n H DDeuterium tritium fusion 337 387 388 42 Depends on conditions 93 718 718 800 Depends on conditions D T 4He nBeing developed Lithium 6 deuteride fusion 268 848 415 42 Depends on conditions 74 680 115 100 Depends on conditions 6LiD 24HeUsed in weapons Plutonium 239 83 610 000 1 300 000 000 1 700 000 000 Depends on crystallographic phase 23 222 915 000 370 000 000 000 460 000 000 000 Depends on crystallographic phase Heat produced in Fission reactorPlutonium 239 31 000 000 490 000 000 620 000 000 Depends on crystallographic phase 8 700 000 000 140 000 000 000 170 000 000 000 Depends on crystallographic phase Electricity produced in Fission reactorUranium 80 620 000 44 1 539 842 000 22 394 000 000 Heat produced in breeder reactorThorium 79 420 000 44 929 214 000 22 061 000 000 Heat produced in breeder reactor Experimental Plutonium 238 2 239 000 43 277 631 621 900 000 Radioisotope thermoelectric generator The heat is only produced at a rate of 0 57 W g Other release mechanisms Edit Energy released by electrochemical reactions or other means Material Specific energy MJ kg Energy density MJ L Specific energy W h kg Energy density W h L CommentBattery zinc air 1 59 6 02 441 7 1 672 2 Controlled electric discharge 45 Silicon phase change 1 790 4 5 500 1 285 Energy stored through solid to liquid phase change of silicon 46 Liquid nitrogen 0 77 47 0 62 213 9 172 2 Maximum reversible work at 77 4 K with 300 K reservoirSodium sulfur battery 0 54 0 86 150 240Compressed air at 30 MPa 0 5 0 2 138 9 55 6 Potential energyLatent heat of fusion of ice thermal 0 334 0 334 93 1 93 1Lithium metal battery 1 8 4 32 500 1 200 Controlled electric dischargeLithium ion battery 0 36 0 875 50 0 9 2 63 100 00 243 06 250 00 730 56 Controlled electric dischargeLithium ion battery with silicon nanowire anodes 1 566 4 32 435 51 1 200 51 Controlled electric dischargeFlywheel 0 36 0 5 5 3 Kinetic energyAlkaline battery 0 48 52 1 3 53 Controlled electric dischargeNickel metal hydride battery 0 41 54 0 504 1 46 54 Controlled electric dischargeLead acid battery 0 17 0 56 Controlled electric dischargeSupercapacitor EDLC 0 01 0 030 55 56 57 58 59 60 61 0 006 0 06 55 56 57 58 59 60 up to 8 57 61 Controlled electric dischargeWater at 100 m dam height 0 000981 0 000978 0 272 0 272 Figures represent potential energy but efficiency of conversion to electricity is 85 90 62 63 Electrolytic capacitor 0 00001 0 0002 64 0 00001 0 001 64 65 66 Controlled electric dischargeIn material deformation Edit The mechanical energy storage capacity or resilience of a Hookean material when it is deformed to the point of failure can be computed by calculating tensile strength times the maximum elongation dividing by two The maximum elongation of a Hookean material can be computed by dividing stiffness of that material by its ultimate tensile strength The following table lists these values computed using the Young s modulus as measure of stiffness Mechanical energy capacities Material Energy density by mass J kg Resilience Energy density by volume J L Density kg L Young s modulus GPa Tensile yield strength MPa Rubber band 1 651 6 605 67 2 200 8 900 67 1 35 67 Steel ASTM A228 yield 1 mm diameter 1 440 1 770 11 200 13 800 7 80 68 210 68 2 170 2 410 68 Acetals 908 754 0 831 69 2 8 70 65 ultimate 70 Nylon 6 233 1 870 253 2 030 1 084 2 4 70 45 90 ultimate 70 Copper Beryllium 25 1 2 HT yield 684 5 720 71 8 36 72 131 71 1 224 71 Polycarbonates 433 615 520 740 1 2 73 2 6 70 52 62 ultimate 70 ABS plastics 241 534 258 571 1 07 1 4 3 1 70 40 ultimate 70 Acrylic 1 530 3 2 70 70 ultimate 70 Aluminium 7077 T8 yield 399 1 120 71 2 81 74 71 0 71 400 71 Steel stainless 301 H yield 301 2 410 71 8 0 75 193 71 965 71 Aluminium 6061 T6 yield 24 C 205 553 2 70 76 68 9 76 276 76 Epoxy resins 113 1 810 2 3 70 26 85 ultimate 70 Douglas fir Wood 158 200 96 481 609 77 13 70 50 compression 70 Steel Mild AISI 1018 42 4 334 7 87 78 205 78 370 440 Ultimate 78 Aluminium not alloyed 32 5 87 7 2 70 79 69 70 110 ultimate 70 Pine American Eastern White flexural 31 8 32 8 11 1 11 5 350 80 8 30 8 56 flexural 80 41 4 flexural 80 Brass 28 6 36 5 250 306 8 4 8 73 81 102 125 70 250 ultimate 70 Copper 23 1 207 8 93 81 117 70 220 ultimate 70 Glass 5 56 10 0 13 9 25 0 2 5 82 50 90 70 50 compression 70 In batteries Edit Battery energy capacities Storage device Energy content Joule Energy content W h Energy type Typicalmass g Typical dimensions diameter height in mm Typical volume mL Energy densityby volume MJ L Energy densityby mass MJ kg Alkaline AA battery 83 9 360 2 6 Electrochemical 24 14 2 50 7 92 1 18 0 39Alkaline C battery 83 34 416 9 5 Electrochemical 65 26 46 24 42 1 41 0 53NiMH AA battery 9 072 2 5 Electrochemical 26 14 2 50 7 92 1 15 0 35NiMH C battery 19 440 5 4 Electrochemical 82 26 46 24 42 0 80 0 24Lithium ion 18650 battery 28 800 46 800 10 5 13 Electrochemical 44 49 84 18 65 16 54 1 74 2 83 0 59 1 06Nuclear energy sources EditThe greatest energy source by far is matter itself This energy E mc2 where m rV r is the mass per unit volume V is the volume of the mass itself and c is the speed of light This energy however can be released only by the processes of nuclear fission 0 1 nuclear fusion 1 or the annihilation of some or all of the matter in the volume V by matter antimatter collisions 100 citation needed Nuclear reactions cannot be realized by chemical reactions such as combustion Although greater matter densities can be achieved the density of a neutron star would approximate the most dense system capable of matter antimatter annihilation possible A black hole although denser than a neutron star does not have an equivalent anti particle form but would offer the same 100 conversion rate of mass to energy in the form of Hawking radiation In the case of relatively small black holes smaller than astronomical objects the power output would be tremendous The highest density sources of energy aside from antimatter are fusion and fission Fusion includes energy from the sun which will be available for billions of years in the form of sunlight but so far 2021 sustained fusion power production continues to be elusive Power from fission of uranium and thorium in nuclear power plants will be available for many decades or even centuries because of the plentiful supply of the elements on earth 85 though the full potential of this source can only be realized through breeder reactors which are apart from the BN 600 reactor not yet used commercially 86 Coal gas and petroleum are the current primary energy sources in the U S 87 but have a much lower energy density Burning local biomass fuels supplies household energy needs cooking fires oil lamps etc worldwide Thermal power of nuclear fission reactors Edit The density of thermal energy contained in the core of a light water reactor PWR or BWR of typically 1 GWe 1 000 MW electrical corresponding to 3 000 MW thermal is in the range of 10 to 100 MW of thermal energy per cubic meter of cooling water depending on the location considered in the system the core itself 30 m3 the reactor pressure vessel 50 m3 or the whole primary circuit 300 m3 This represents a considerable density of energy which requires under all circumstances a continuous water flow at high velocity in order to be able to remove the heat from the core even after an emergency shutdown of the reactor The incapacity to cool the cores of three boiling water reactors BWR at Fukushima in 2011 after the tsunami and the resulting loss of the external electrical power and of the cold source was the cause of the meltdown of the three cores in only a few hours even though the three reactors were correctly shut down just after the Tōhoku earthquake This extremely high power density distinguishes nuclear power plants NPP s from any thermal power plants burning coal fuel or gas or any chemical plants and explains the large redundancy required to permanently control the neutron reactivity and to remove the residual heat from the core of NPP s Energy density of electric and magnetic fields EditMain article Radiant energy density Electric and magnetic fields store energy The volumetric energy density is given by u e 2 E 2 1 2 m B 2 displaystyle u frac varepsilon 2 mathbf E 2 frac 1 2 mu mathbf B 2 where E is the electric field B is the magnetic field and e and µ are the permittivity and permeability of the surroundings respectively The solution will be in SI units in joules per cubic metre In the context of magnetohydrodynamics the physics of conductive fluids the magnetic energy density behaves like an additional pressure that adds to the gas pressure of a plasma In ideal linear and nondispersive substances the energy density in SI units is u 1 2 E D H B displaystyle u frac 1 2 mathbf E cdot mathbf D mathbf H cdot mathbf B where D is the electric displacement field and H is the magnetizing field In the case of absence of magnetic fields by exploiting Frohlich s relationships it is also possible to extend these equations to anisotropic and nonlinear dielectrics as well as to calculate the correlated Helmholtz free energy and entropy densities 88 When a pulsed laser impacts a surface the radiant exposure i e the energy deposited per unit of surface may be called energy density or fluence 89 See also EditEnergy content of biofuel Energy density Extended Reference Table Figure of merit Food energy Heat of combustion High energy density matter Power density and specifically Power to weight ratio Rechargeable battery Solid state battery Specific energy Specific impulse Energy portalFootnotes Edit The Two Classes of SI Units and the SI Prefixes NIST Guide to the SI 2009 07 02 Retrieved 2012 01 25 Fossil and Alternative Fuels Energy Content 2008 Engineering ToolBox Retrieved 2018 10 08 Jeong Goojin Kim Hansu Park Jong Hwan Jeon Jaehwan Jin Xing Song Juhye Kim Bo Ram Park Min Sik Kim Ji Man Kim Young Jun 2015 Nanotechnology enabled rechargeable Li SO2 batteries Another approach towards post lithium ion battery systems Energy amp Environmental Science 8 11 3173 3180 doi 10 1039 C5EE01659B Panasonic Develops New Higher Capacity 18650 Li Ion Cells Green Car Congress N p 25 Dec 2009 Web Stura Enrico Nicolini Claudio 2006 New nanomaterials for light weight lithium batteries Analytica Chimica Acta 568 1 2 57 64 doi 10 1016 j aca 2005 11 025 PMID 17761246 a b c Fisher Julia 2003 Elert Glenn ed Energy density of coal The Physics Factbook Retrieved 2019 07 28 Heat Values of Various Fuels World Nuclear Association World Nuclear Association N p Sept 2016 Web Overview of Storage Development DOE Hydrogen Program Office of Energy Efficiency amp Renewable Energy N p May 2000 Web Wong Kaufui Dia Sarah 2017 Nanotechnology in Batteries Journal of Energy Resources Technology 139 doi 10 1115 1 4034860 Ionescu Zanetti C et al 2005 Nanogap capacitors Sensitivity to sample permittivity changes Journal of Applied Physics 99 2 024305 024305 5 Bibcode 2006JAP 99b4305I doi 10 1063 1 2161818 S2CID 120910476 Naoi K et al 2013 New generation nanohybrid supercapacitor Accounts of Chemical Research 46 5 1075 1083 doi 10 1021 ar200308h PMID 22433167 Hubler A Osuagwu O 2010 Digital quantum batteries Energy and information storage in nanovacuum tube arrays Complexity 15 5 NA doi 10 1002 cplx 20306 S2CID 6994736 Lyon D et al 2013 Gap size dependence of the dielectric strength in nano vacuum gaps IEEE Transactions on Dielectrics and Electrical Insulation 2 4 1467 1471 doi 10 1109 TDEI 2013 6571470 S2CID 709782 CRC Handbook of Chemistry and Physics 49th Edition page D 42 a b c College of the Desert Module 1 Hydrogen Properties Revision 0 December 2001 Hydrogen Properties Retrieved 2014 06 08 Mike Millikin 2014 11 18 Toyota FCV Mirai launches in LA initial TFCS specs 57 500 or 499 lease leaning on Prius analogy Green Car Congress Retrieved 2014 11 23 Greenwood Norman N Earnshaw Alan 1997 Chemistry of the Elements 2nd ed page 164 Boron A Better Energy Carrier than Hydrogen 28 February 2009 Eagle ca Retrieved 2010 05 07 a b c d Envestra Limited Natural Gas Archived 2008 10 10 at the Wayback Machine Retrieved 2008 10 05 a b c d e IOR Energy List of common conversion factors Engineering conversion factors Retrieved 2008 10 05 a b c d e Paul A Kittle Ph D ALTERNATE DAILY COVER MATERIALS AND SUBTITLE D THE SELECTION TECHNIQUE PDF Archived from the original PDF on 2008 05 27 Retrieved 2012 01 25 537 PDF PDF June 1993 Retrieved 2012 01 25 Gofman Evelyn 2003 Elert Glenn ed Energy density of aviation fuel The Physics Factbook Retrieved 2019 07 28 Handbook of Products PDF Air BP pp 11 13 Archived from the original PDF on 2011 06 08 Characteristics of Petroleum Products Stored and Dispensed PDF Petroleum Products Division GN p 132 archived from the original PDF on 16 January 2017 retrieved 15 January 2017 Roman Leshkov Yuriy Barrett Christopher J Liu Zhen Y Dumesic James A 21 June 2007 Production of dimethylfuran for liquid fuels from biomass derived carbohydrates Nature 447 7147 982 985 Bibcode 2007Natur 447 982R doi 10 1038 nature05923 PMID 17581580 S2CID 4366510 Wiener Harry January 1947 Structural Determination of Paraffin Boiling Points Journal of the American Chemical Society 69 1 17 20 doi 10 1021 ja01193a005 ISSN 0002 7863 PMID 20291038 Justin Lemire Elmore 2004 04 13 The Energy Cost of Electric and Human Powered Bicycles PDF p 5 Retrieved 2009 02 26 properly trained athlete will have efficiencies of 22 to 26 Silicon as an intermediary between renewable energy and hydrogen PDF Deutsche Bank Research p 5 Archived from the original PDF on 2008 11 16 Retrieved 16 November 2016 Bossel Ulf July 2003 The Physics of the Hydrogen Economy PDF European Fuel Cell News Archived from the original PDF on 2006 03 19 Retrieved 2019 04 06 The Higher Heating Values are 22 7 29 7 or 31 7 MJ kg for methanol ethanol and DME respectively while gasoline contains about 45 MJ per kg Dimethyl Ether DME PDF European Biofuels Technology Platform 2013 11 18 Retrieved 2019 04 06 DME density and lower heating value were obtained from the table on the first page Green Don Perry Robert 2008 Perry s chemical engineers handbook 8th ed New York McGraw Hill ISBN 9780071422949 Elite bloc indd PDF Archived from the original PDF on 2011 07 15 Retrieved 2010 05 07 Biomass Energy Foundation Fuel Densities Woodgas com Archived from the original on 2010 01 10 Retrieved 2010 05 07 Bord na Mona Peat for Energy PDF Bnm ie Archived from the original PDF on 2007 11 19 Retrieved 2012 01 25 Justin Lemire elmore April 13 2004 The Energy Cost of Electric and Human Powered Bicycle PDF Retrieved 2012 01 25 energy buffers Home hccnet nl Retrieved 2010 05 07 Anne Wignall and Terry Wales Chemistry 12 Workbook page 138 Archived 2011 09 13 at the Wayback Machine Pearson Education NZ ISBN 978 0 582 54974 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Archived from the original on 2009 01 27 Retrieved 2009 04 21 Meroueh Laureen 2020 Thermal energy storage in Silicon doi 10 1016 j renene 2019 06 036 S2CID 197448761 a href Template Cite journal html title Template Cite journal cite journal a Cite journal requires journal help C Knowlen A T Mattick A P Bruckner and A Hertzberg High Efficiency Conversion Systems for Liquid Nitrogen Automobiles Society of Automotive Engineers Inc 1988 Overview of lithium ion batteries PDF Panasonic Jan 2007 Archived PDF from the original on November 7 2011 Panasonic NCR18650B PDF Archived from the original PDF on 2015 07 22 48 49 a b Amprius silicon nanowire Li ion batteries power Airbus Zephyr S HAPS solar aircraft Green Car Congress Retrieved 2022 12 31 Test of Duracell Ultra Power AA lygte info dk Retrieved 2019 02 16 Energizer EN91 AA alkaline battery datasheet PDF Retrieved 2016 01 10 a b Test of GP ReCyko AA 2700mAh Green lygte info dk Retrieved 2019 02 16 a b Maxwell supercapacitor comparison PDF Retrieved 2016 01 10 a b Nesscap ESHSP series supercapacitor datasheet PDF Archived from the original PDF on 2016 03 29 Retrieved 2016 01 10 a b Cooper PowerStor XL60 series supercapacitor datasheet PDF Retrieved 2016 01 10 a b Kemet S301 series supercapacitor datasheet PDF Archived from the original PDF on 2016 03 04 Retrieved 2016 01 10 a b Nichicon JJD series supercapatcitor datasheet PDF Retrieved 2016 01 10 a b skelcap High Energy Ultracapacitor PDF Skeleton Technologies Archived from the original PDF on 2 April 2016 Retrieved 13 October 2015 a b 3 0V 3400F ULTRACAPACITOR CELL DATASHEET BCAP3400 P300 K04 05 PDF Retrieved 2020 01 12 Hydroelectric Power Generation www mpoweruk com Woodbank Communications Ltd Retrieved 13 April 2018 2 1 Power discharge head relationship River Engineering amp Restoration at OSU Oregon State University rivers bee oregonstate edu Retrieved 13 April 2018 Let e 0 85 signifying an 85 efficiency rating typical of an older powerplant a b Vishay STE series tantalum capacitors datasheet PDF Retrieved 2016 01 10 nichicon TVX aluminum electrolytic capacitors datasheet PDF Retrieved 2016 01 10 nichicon LGU aluminum electrolytic capacitors datasheet PDF Retrieved 2016 01 10 a b c How Much Energy Can You Store in a Rubber Band Wired ISSN 1059 1028 Retrieved 2020 01 21 a b c MatWeb The Online Materials Information Resource www matweb com Retrieved 2019 12 15 PubChem Acetal pubchem ncbi nlm nih gov Retrieved 2019 12 12 a b c d e f g h i j k l m n o p q r s t u v Young s Modulus Tensile and Yield Strength for common Materials www engineeringtoolbox com Retrieved 2019 12 12 a b c d e f g h i Brush Wellman Alloy Products Elastic Resilience PDF Technical Tidbits Retrieved December 15 2019 C17200 Alloy Specifications E Jordan Brookes Company www ejbmetals com Retrieved 2019 12 15 polycarbonate information and properties www polymerprocessing com Retrieved 2019 12 12 ASM Material Data Sheet asm matweb com Retrieved 2019 12 15 Sutherland Karen Martin Monica 2004 Elert Glenn ed Density of steel The Physics Factbook Retrieved 2020 06 18 a b c Aluminum 6061 T6 6061 T651 www matweb com Retrieved 2021 06 13 Wood Species Moisture Content and Weight www engineeringtoolbox com Retrieved 2019 12 12 a b c AISI 1018 Mild Low Carbon Steel AZoM com 2012 06 28 Retrieved 2020 01 22 ASM Material Data Sheet asm matweb com Retrieved 2019 12 12 a b c American Eastern White Pine Wood www matweb com Retrieved 2019 12 15 a b Mass Weight Density or Specific Gravity of Different Metals www simetric co uk Retrieved 2019 12 12 Physical properties of glass Saint Gobain Building Glass UK uk saint gobain building glass com Retrieved 2019 12 12 a b Battery Energy Tables Archived from the original on 2011 12 04 18650 Battery capacities Supply of Uranium world nuclear org 2014 10 08 Retrieved 2015 06 13 Facts from Cohen Formal stanford edu 2007 01 26 Archived from the original on 2007 04 10 Retrieved 2010 05 07 U S Energy Information Administration EIA Annual Energy Review Eia doe gov 2009 06 26 Archived from the original on 2010 05 06 Retrieved 2010 05 07 Parravicini J 2018 Thermodynamic potentials in anisotropic and nonlinear dielectrics Physica B 541 54 60 Bibcode 2018PhyB 541 54P doi 10 1016 j physb 2018 04 029 S2CID 125817506 Terminology Regenerative Laser Therapy Further reading EditThe Inflationary Universe The Quest for a New Theory of Cosmic Origins by Alan H Guth 1998 ISBN 0 201 32840 2 Cosmological Inflation and Large Scale Structure by Andrew R Liddle David H Lyth 2000 ISBN 0 521 57598 2 Richard Becker Electromagnetic Fields and Interactions Dover Publications Inc 1964External links Edit Aircraft Fuels Energy Technology and the Environment Ed Attilio Bisio Vol 1 New York John Wiley and Sons Inc 1995 257 259 Fuels of the Future for Cars and Trucks Dr James J Eberhardt Energy Efficiency and Renewable Energy U S Department of Energy 2002 Diesel Engine Emissions Reduction DEER Workshop San Diego California August 25 29 2002 Heat values of various fuels World Nuclear Association www world nuclear org Retrieved 4 November 2018 Energy and Energy Types Springer PDF Retrieved 4 November 2018 Retrieved from https en wikipedia org w index php title Energy density amp oldid 1149511274, wikipedia, wiki, book, books, library,

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